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doc/LectureNotes/_build/jupyter_execute/week37_160_1.png delete mode 100644 doc/LectureNotes/_build/jupyter_execute/week37_162_4.png delete mode 100644 doc/LectureNotes/_build/jupyter_execute/week37_165_1.png delete mode 100644 doc/LectureNotes/_build/jupyter_execute/week37_169_0.png delete mode 100644 doc/LectureNotes/_build/jupyter_execute/week37_171_8.png delete mode 100644 doc/LectureNotes/_build/jupyter_execute/week37_174_1.png delete mode 100644 doc/LectureNotes/_build/jupyter_execute/week37_176_1.png delete mode 100644 doc/LectureNotes/_build/jupyter_execute/week37_208_1.png diff --git a/doc/LectureNotes/DataFiles/cancer.dot b/doc/LectureNotes/DataFiles/cancer.dot index f1f7bdde0..c3d106ff5 100644 --- a/doc/LectureNotes/DataFiles/cancer.dot +++ b/doc/LectureNotes/DataFiles/cancer.dot @@ -6,15 +6,15 @@ edge [fontname="helvetica"] ; 0 -> 1 [labeldistance=2.5, labelangle=45, headlabel="True"] ; 2 [label="worst concave points <= 0.135\ngini = 0.031\nsamples = 253\nvalue = [[249, 4]\n[4, 249]]", fillcolor="#e78946"] ; 1 -> 2 ; -3 [label="area error <= 48.975\ngini = 0.008\nsamples = 242\nvalue = [[241, 1]\n[1, 241]]", fillcolor="#e5833c"] ; +3 [label="radius error <= 0.643\ngini = 0.008\nsamples = 242\nvalue = [[241, 1]\n[1, 241]]", fillcolor="#e5833c"] ; 2 -> 3 ; 4 [label="gini = 0.0\nsamples = 239\nvalue = [[239, 0]\n[0, 239]]", fillcolor="#e58139"] ; 3 -> 4 ; -5 [label="texture error <= 1.938\ngini = 0.444\nsamples = 3\nvalue = [[2, 1]\n[1, 2]]", fillcolor="#fdf6f0"] ; +5 [label="mean compactness <= 0.063\ngini = 0.444\nsamples = 3\nvalue = [[2, 1]\n[1, 2]]", fillcolor="#fdf6f0"] ; 3 -> 5 ; -6 [label="gini = 0.0\nsamples = 2\nvalue = [[2, 0]\n[0, 2]]", fillcolor="#e58139"] ; +6 [label="gini = 0.0\nsamples = 1\nvalue = [[0, 1]\n[1, 0]]", fillcolor="#e58139"] ; 5 -> 6 ; -7 [label="gini = 0.0\nsamples = 1\nvalue = [[0, 1]\n[1, 0]]", fillcolor="#e58139"] ; +7 [label="gini = 0.0\nsamples = 2\nvalue = [[2, 0]\n[0, 2]]", fillcolor="#e58139"] ; 5 -> 7 ; 8 [label="worst texture <= 29.455\ngini = 0.397\nsamples = 11\nvalue = [[8, 3]\n[3, 8]]", fillcolor="#fae9dd"] ; 2 -> 8 ; @@ -22,7 +22,7 @@ edge [fontname="helvetica"] ; 8 -> 9 ; 10 [label="gini = 0.0\nsamples = 3\nvalue = [[0, 3]\n[3, 0]]", fillcolor="#e58139"] ; 8 -> 10 ; -11 [label="mean texture <= 16.22\ngini = 0.278\nsamples = 6\nvalue = [[1, 5]\n[5, 1]]", fillcolor="#f4caac"] ; +11 [label="area error <= 13.475\ngini = 0.278\nsamples = 6\nvalue = [[1, 5]\n[5, 1]]", fillcolor="#f4caac"] ; 1 -> 11 ; 12 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 11 -> 12 ; @@ -30,11 +30,11 @@ edge [fontname="helvetica"] ; 11 -> 13 ; 14 [label="worst texture <= 20.645\ngini = 0.202\nsamples = 167\nvalue = [[19, 148]\n[148, 19]]", fillcolor="#f0b68c"] ; 0 -> 14 [labeldistance=2.5, labelangle=-45, headlabel="False"] ; -15 [label="worst perimeter <= 116.8\ngini = 0.375\nsamples = 16\nvalue = [[12, 4]\n[4, 12]]", fillcolor="#f9e3d4"] ; +15 [label="worst radius <= 17.74\ngini = 0.375\nsamples = 16\nvalue = [[12, 4]\n[4, 12]]", fillcolor="#f9e3d4"] ; 14 -> 15 ; 16 [label="gini = 0.0\nsamples = 11\nvalue = [[11, 0]\n[0, 11]]", fillcolor="#e58139"] ; 15 -> 16 ; -17 [label="fractal dimension error <= 0.002\ngini = 0.32\nsamples = 5\nvalue = [[1, 4]\n[4, 1]]", fillcolor="#f6d5bd"] ; +17 [label="mean compactness <= 0.079\ngini = 0.32\nsamples = 5\nvalue = [[1, 4]\n[4, 1]]", fillcolor="#f6d5bd"] ; 15 -> 17 ; 18 [label="gini = 0.0\nsamples = 1\nvalue = [[1, 0]\n[0, 1]]", fillcolor="#e58139"] ; 17 -> 18 ; @@ -48,7 +48,7 @@ edge [fontname="helvetica"] ; 21 -> 22 ; 23 [label="gini = 0.0\nsamples = 6\nvalue = [[6, 0]\n[0, 6]]", fillcolor="#e58139"] ; 21 -> 23 ; -24 [label="mean smoothness <= 0.079\ngini = 0.015\nsamples = 136\nvalue = [[1, 135]\n[135, 1]]", fillcolor="#e6853f"] ; +24 [label="worst smoothness <= 0.096\ngini = 0.015\nsamples = 136\nvalue = [[1, 135]\n[135, 1]]", fillcolor="#e6853f"] ; 20 -> 24 ; 25 [label="gini = 0.0\nsamples = 1\nvalue = 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+ + Projects + +

+ @@ -994,13 +1021,13 @@ example of the functionality of Scikit-Learn.

The intercept alpha: 
- [2.01173838]
+ [2.00955125]
 Coefficient beta : 
- [[4.76160572]]
-Mean squared error: 0.33
-Variance score: 0.86
+ [[4.94419718]]
+Mean squared error: 0.31
+Variance score: 0.87
 Mean squared log error: 0.01
-Mean absolute error: 0.45
+Mean absolute error: 0.43
 
_images/chapter1_19_1.png @@ -1100,7 +1127,7 @@ a linear \(x\)-dependence we s
_images/chapter1_33_0.png -
0.004999999999999991
+
0.005000000000000001
 
diff --git a/doc/LectureNotes/_build/html/chapter10.html b/doc/LectureNotes/_build/html/chapter10.html index ee300bdc5..a0840cda8 100644 --- a/doc/LectureNotes/_build/html/chapter10.html +++ b/doc/LectureNotes/_build/html/chapter10.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -1311,7 +1338,7 @@ the Hadamard product, meaning element-wise multiplication.

    Old accuracy on training data: 0.1440501043841336
     
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
     
    @@ -1645,7 +1672,7 @@ Lambda = 10.0 Accuracy score on test set: 0.19166666666666668
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
     
    @@ -1654,7 +1681,7 @@ Lambda = 1e-05 Accuracy score on test set: 0.10555555555555556
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
     
    @@ -1663,7 +1690,7 @@ Lambda = 0.0001 Accuracy score on test set: 0.08611111111111111
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
     
    @@ -1672,7 +1699,7 @@ Lambda = 0.001 Accuracy score on test set: 0.10555555555555556
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
     
    @@ -1681,7 +1708,7 @@ Lambda = 0.01 Accuracy score on test set: 0.08888888888888889
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
     
    @@ -1690,7 +1717,7 @@ Lambda = 0.1 Accuracy score on test set: 0.08611111111111111
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
     
    @@ -1699,7 +1726,7 @@ Lambda = 1.0 Accuracy score on test set: 0.08888888888888889
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
     
    @@ -1708,11 +1735,11 @@ Lambda = 10.0 Accuracy score on test set: 0.09166666666666666
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp
       exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
       self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
     
    @@ -1721,11 +1748,11 @@ Lambda = 1e-05 Accuracy score on test set: 0.07777777777777778
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp
       exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
       self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
     
    @@ -1734,11 +1761,11 @@ Lambda = 0.0001 Accuracy score on test set: 0.07777777777777778
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp
       exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
       self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
     
    @@ -1747,11 +1774,11 @@ Lambda = 0.001 Accuracy score on test set: 0.07777777777777778
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp
       exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
       self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
     
    @@ -1760,11 +1787,11 @@ Lambda = 0.01 Accuracy score on test set: 0.07777777777777778
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp
       exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
       self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
     
    @@ -1773,7 +1800,7 @@ Lambda = 0.1 Accuracy score on test set: 0.07777777777777778
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
     
    @@ -1782,11 +1809,11 @@ Lambda = 1.0 Accuracy score on test set: 0.10555555555555556
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp
       exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
       self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
     
    @@ -1795,11 +1822,11 @@ Lambda = 10.0 Accuracy score on test set: 0.07777777777777778
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp
       exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
       self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
     
    @@ -1808,82 +1835,37 @@ Lambda = 1e-05 Accuracy score on test set: 0.07777777777777778
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp
       return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp
       exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
       self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
     
    -
    Learning rate  =  10.0
    -Lambda =  0.0001
    -Accuracy score on test set:  0.07777777777777778
    -
    -
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    -  exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    -  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
    -
    -
    -
    Learning rate  =  10.0
    -Lambda =  0.001
    -Accuracy score on test set:  0.07777777777777778
    -
    -
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    -  exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    -  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
    -
    -
    -
    Learning rate  =  10.0
    -Lambda =  0.01
    -Accuracy score on test set:  0.07777777777777778
    -
    -
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    -  exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    -  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
    -
    -
    -
    Learning rate  =  10.0
    -Lambda =  0.1
    -Accuracy score on test set:  0.07777777777777778
    -
    -
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    -  exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    -  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
    -
    -
    -
    Learning rate  =  10.0
    -Lambda =  1.0
    -Accuracy score on test set:  0.07777777777777778
    -
    -
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp
    -  exp_term = np.exp(self.z_o)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
    -  self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
    -
    -
    -
    Learning rate  =  10.0
    -Lambda =  10.0
    -Accuracy score on test set:  0.07777777777777778
    +
    ---------------------------------------------------------------------------
    +KeyboardInterrupt                         Traceback (most recent call last)
    +Cell In[8], line 11
    +      8 for j, lmbd in enumerate(lmbd_vals):
    +      9     dnn = NeuralNetwork(X_train, Y_train_onehot, eta=eta, lmbd=lmbd, epochs=epochs, batch_size=batch_size,
    +     10                         n_hidden_neurons=n_hidden_neurons, n_categories=n_categories)
    +---> 11     dnn.train()
    +     13     DNN_numpy[i][j] = dnn
    +     15     test_predict = dnn.predict(X_test)
    +
    +Cell In[6], line 99, in NeuralNetwork.train(self)
    +     96 self.Y_data = self.Y_data_full[chosen_datapoints]
    +     98 self.feed_forward()
    +---> 99 self.backpropagation()
    +
    +Cell In[6], line 64, in NeuralNetwork.backpropagation(self)
    +     61 self.output_weights_gradient = np.matmul(self.a_h.T, error_output)
    +     62 self.output_bias_gradient = np.sum(error_output, axis=0)
    +---> 64 self.hidden_weights_gradient = np.matmul(self.X_data.T, error_hidden)
    +     65 self.hidden_bias_gradient = np.sum(error_hidden, axis=0)
    +     67 if self.lmbd > 0.0:
    +
    +KeyboardInterrupt: 
     
    @@ -1929,22 +1911,6 @@ Accuracy score on test set: 0.07777777777777778
    -
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp
    -  return 1/(1 + np.exp(-x))
    -
    -
    -_images/chapter10_59_1.png -_images/chapter10_59_2.png -
    @@ -1980,329 +1946,6 @@ performance overall.

    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  1e-05
    -Lambda =  1e-05
    -Accuracy score on test set:  0.18333333333333332
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  1e-05
    -Lambda =  0.0001
    -Accuracy score on test set:  0.18611111111111112
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  1e-05
    -Lambda =  0.001
    -Accuracy score on test set:  0.13055555555555556
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  1e-05
    -Lambda =  0.01
    -Accuracy score on test set:  0.24444444444444444
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  1e-05
    -Lambda =  0.1
    -Accuracy score on test set:  0.23333333333333334
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  1e-05
    -Lambda =  1.0
    -Accuracy score on test set:  0.12777777777777777
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  1e-05
    -Lambda =  10.0
    -Accuracy score on test set:  0.1527777777777778
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.0001
    -Lambda =  1e-05
    -Accuracy score on test set:  0.9111111111111111
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.0001
    -Lambda =  0.0001
    -Accuracy score on test set:  0.8888888888888888
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.0001
    -Lambda =  0.001
    -Accuracy score on test set:  0.8722222222222222
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.0001
    -Lambda =  0.01
    -Accuracy score on test set:  0.8305555555555556
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.0001
    -Lambda =  0.1
    -Accuracy score on test set:  0.8888888888888888
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.0001
    -Lambda =  1.0
    -Accuracy score on test set:  0.8805555555555555
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.0001
    -Lambda =  10.0
    -Accuracy score on test set:  0.8944444444444445
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.001
    -Lambda =  1e-05
    -Accuracy score on test set:  0.975
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.001
    -Lambda =  0.0001
    -Accuracy score on test set:  0.9777777777777777
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.001
    -Lambda =  0.001
    -Accuracy score on test set:  0.9805555555555555
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.001
    -Lambda =  0.01
    -Accuracy score on test set:  0.9861111111111112
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.001
    -Lambda =  0.1
    -Accuracy score on test set:  0.9805555555555555
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.001
    -Lambda =  1.0
    -Accuracy score on test set:  0.9777777777777777
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.001
    -Lambda =  10.0
    -Accuracy score on test set:  0.9444444444444444
    -
    -
    -
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.
    -  warnings.warn(
    -
    -
    -
    Learning rate  =  0.01
    -Lambda =  1e-05
    -Accuracy score on test set:  0.9861111111111112
    -
    -
    -
    Learning rate  =  0.01
    -Lambda =  0.0001
    -Accuracy score on test set:  0.9888888888888889
    -
    -
    -
    Learning rate  =  0.01
    -Lambda =  0.001
    -Accuracy score on test set:  0.9888888888888889
    -
    -
    -
    Learning rate  =  0.01
    -Lambda =  0.01
    -Accuracy score on test set:  0.9861111111111112
    -
    -
    -
    Learning rate  =  0.01
    -Lambda =  0.1
    -Accuracy score on test set:  0.9888888888888889
    -
    -
    -
    Learning rate  =  0.01
    -Lambda =  1.0
    -Accuracy score on test set:  0.9722222222222222
    -
    -Learning rate  =  0.01
    -Lambda =  10.0
    -Accuracy score on test set:  0.9527777777777777
    -
    -
    -
    Learning rate  =  0.1
    -Lambda =  1e-05
    -Accuracy score on test set:  0.9027777777777778
    -
    -Learning rate  =  0.1
    -Lambda =  0.0001
    -Accuracy score on test set:  0.8583333333333333
    -
    -
    -
    Learning rate  =  0.1
    -Lambda =  0.001
    -Accuracy score on test set:  0.8722222222222222
    -
    -Learning rate  =  0.1
    -Lambda =  0.01
    -Accuracy score on test set:  0.9055555555555556
    -
    -
    -
    Learning rate  =  0.1
    -Lambda =  0.1
    -Accuracy score on test set:  0.8805555555555555
    -
    -Learning rate  =  0.1
    -Lambda =  1.0
    -Accuracy score on test set:  0.8722222222222222
    -
    -
    -
    Learning rate  =  0.1
    -Lambda =  10.0
    -Accuracy score on test set:  0.8666666666666667
    -
    -Learning rate  =  1.0
    -Lambda =  1e-05
    -Accuracy score on test set:  0.08611111111111111
    -
    -
    -
    Learning rate  =  1.0
    -Lambda =  0.0001
    -Accuracy score on test set:  0.10555555555555556
    -
    -Learning rate  =  1.0
    -Lambda =  0.001
    -Accuracy score on test set:  0.10555555555555556
    -
    -
    -
    Learning rate  =  1.0
    -Lambda =  0.01
    -Accuracy score on test set:  0.17777777777777778
    -
    -Learning rate  =  1.0
    -Lambda =  0.1
    -Accuracy score on test set:  0.08333333333333333
    -
    -Learning rate  =  1.0
    -Lambda =  1.0
    -Accuracy score on test set:  0.08888888888888889
    -
    -
    -
    Learning rate  =  1.0
    -Lambda =  10.0
    -Accuracy score on test set:  0.09444444444444444
    -
    -Learning rate  =  10.0
    -Lambda =  1e-05
    -Accuracy score on test set:  0.17222222222222222
    -
    -
    -
    Learning rate  =  10.0
    -Lambda =  0.0001
    -Accuracy score on test set:  0.11666666666666667
    -
    -Learning rate  =  10.0
    -Lambda =  0.001
    -Accuracy score on test set:  0.10555555555555556
    -
    -Learning rate  =  10.0
    -Lambda =  0.01
    -Accuracy score on test set:  0.1388888888888889
    -
    -
    -
    Learning rate  =  10.0
    -Lambda =  0.1
    -Accuracy score on test set:  0.11388888888888889
    -
    -
    -
    Learning rate  =  10.0
    -Lambda =  1.0
    -Accuracy score on test set:  0.10555555555555556
    -
    -Learning rate  =  10.0
    -Lambda =  10.0
    -Accuracy score on test set:  0.09444444444444444
    -
    -
    -
    @@ -2346,10 +1989,6 @@ Accuracy score on test set: 0.09444444444444444
    -
    -_images/chapter10_63_0.png -_images/chapter10_63_1.png -
    @@ -2388,14 +2027,6 @@ and/or if you use anaconda, just write (or install from the gra
    -
    -
      Cell In[12], line 1
    -    conda create -n tf tensorflow
    -          ^
    -SyntaxError: invalid syntax
    -
    -
    -

    To install the current release of GPU TensorFlow

    diff --git a/doc/LectureNotes/_build/html/chapter11.html b/doc/LectureNotes/_build/html/chapter11.html index 1bc6e08c9..0b5ab5340 100644 --- a/doc/LectureNotes/_build/html/chapter11.html +++ b/doc/LectureNotes/_build/html/chapter11.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -2577,70 +2604,122 @@ Using TensorFlow results in a much better execution time. Try it!

    14 subargs = subvals(args, zip(argnum, x)) ---> 15 return fun(*subargs, **kwargs) -Cell In[9], line 79, in cost_function(P, x, t) - 76 point = np.array([x_,t_]) +Cell In[9], line 80, in cost_function(P, x, t) 78 g_t = g_trial(point,P) ----> 79 g_t_jacobian = g_t_jacobian_func(point,P) - 80 g_t_hessian = g_t_hessian_func(point,P) + 79 g_t_jacobian = g_t_jacobian_func(point,P) +---> 80 g_t_hessian = g_t_hessian_func(point,P) 82 g_t_dt = g_t_jacobian[1] + 83 g_t_d2x = g_t_hessian[0][0] File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:20, in unary_to_nary.<locals>.nary_operator.<locals>.nary_f(*args, **kwargs) 18 else: 19 x = tuple(args[i] for i in argnum) ---> 20 return unary_operator(unary_f, x, *nary_op_args, **nary_op_kwargs) -File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:64, in jacobian(fun, x) - 62 jacobian_shape = ans_vspace.shape + vspace(x).shape - 63 grads = map(vjp, ans_vspace.standard_basis()) ----> 64 return np.reshape(np.stack(grads), jacobian_shape) +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:81, in hessian(fun, x) + 78 @unary_to_nary + 79 def hessian(fun, x): + 80 "Returns a function that computes the exact Hessian." +---> 81 return jacobian(jacobian(fun))(x) -File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_wrapper.py:88, in stack(arrays, axis) - 83 def stack(arrays, axis=0): - 84 # this code is basically copied from numpy/core/shape_base.py's stack - 85 # we need it here because we want to re-implement stack in terms of the - 86 # primitives defined in this file ----> 88 arrays = [array(arr) for arr in arrays] - 89 if not arrays: - 90 raise ValueError('need at least one array to stack') +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:20, in unary_to_nary.<locals>.nary_operator.<locals>.nary_f(*args, **kwargs) + 18 else: + 19 x = tuple(args[i] for i in argnum) +---> 20 return unary_operator(unary_f, x, *nary_op_args, **nary_op_kwargs) -File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_wrapper.py:88, in <listcomp>(.0) - 83 def stack(arrays, axis=0): - 84 # this code is basically copied from numpy/core/shape_base.py's stack - 85 # we need it here because we want to re-implement stack in terms of the - 86 # primitives defined in this file ----> 88 arrays = [array(arr) for arr in arrays] - 89 if not arrays: - 90 raise ValueError('need at least one array to stack') +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:60, in jacobian(fun, x) + 50 @unary_to_nary + 51 def jacobian(fun, x): + 52 """ + 53 Returns a function which computes the Jacobian of `fun` with respect to + 54 positional argument number `argnum`, which must be a scalar or array. Unlike + (...) + 58 (out1, out2, ...) then the Jacobian has shape (out1, out2, ..., in1, in2, ...). + 59 """ +---> 60 vjp, ans = _make_vjp(fun, x) + 61 ans_vspace = vspace(ans) + 62 jacobian_shape = ans_vspace.shape + vspace(x).shape -File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:14, in make_vjp.<locals>.vjp(g) ----> 14 def vjp(g): return backward_pass(g, end_node) +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:10, in make_vjp(fun, x) + 8 def make_vjp(fun, x): + 9 start_node = VJPNode.new_root() +---> 10 end_value, end_node = trace(start_node, fun, x) + 11 if end_node is None: + 12 def vjp(g): return vspace(x).zeros() -File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:21, in backward_pass(g, end_node) - 19 for node in toposort(end_node): - 20 outgrad = outgrads.pop(node) ----> 21 ingrads = node.vjp(outgrad[0]) - 22 for parent, ingrad in zip(node.parents, ingrads): - 23 outgrads[parent] = add_outgrads(outgrads.get(parent), ingrad) +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:10, in trace(start_node, fun, x) + 8 with trace_stack.new_trace() as t: + 9 start_box = new_box(x, t, start_node) +---> 10 end_box = fun(start_box) + 11 if isbox(end_box) and end_box._trace == start_box._trace: + 12 return end_box._value, end_box._node -File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:67, in defvjp.<locals>.vjp_argnums.<locals>.<lambda>(g) - 64 raise NotImplementedError( - 65 "VJP of {} wrt argnum 0 not defined".format(fun.__name__)) - 66 vjp = vjpfun(ans, *args, **kwargs) ----> 67 return lambda g: (vjp(g),) - 68 elif L == 2: - 69 argnum_0, argnum_1 = argnums +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:15, in unary_to_nary.<locals>.nary_operator.<locals>.nary_f.<locals>.unary_f(x) + 13 else: + 14 subargs = subvals(args, zip(argnum, x)) +---> 15 return fun(*subargs, **kwargs) -File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_vjps.py:660, in unbroadcast_f.<locals>.<lambda>(g) - 658 def unbroadcast_f(target, f): - 659 target_meta = anp.metadata(target) ---> 660 return lambda g: unbroadcast(f(g), target_meta) +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:20, in unary_to_nary.<locals>.nary_operator.<locals>.nary_f(*args, **kwargs) + 18 else: + 19 x = tuple(args[i] for i in argnum) +---> 20 return unary_operator(unary_f, x, *nary_op_args, **nary_op_kwargs) -File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_vjps.py:653, in unbroadcast(x, target_meta, broadcast_idx) - 651 for axis, size in enumerate(target_shape): - 652 if size == 1: ---> 653 x = anp.sum(x, axis=axis, keepdims=True) - 654 if anp.iscomplexobj(x) and not target_iscomplex: - 655 x = anp.real(x) +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:60, in jacobian(fun, x) + 50 @unary_to_nary + 51 def jacobian(fun, x): + 52 """ + 53 Returns a function which computes the Jacobian of `fun` with respect to + 54 positional argument number `argnum`, which must be a scalar or array. Unlike + (...) + 58 (out1, out2, ...) then the Jacobian has shape (out1, out2, ..., in1, in2, ...). + 59 """ +---> 60 vjp, ans = _make_vjp(fun, x) + 61 ans_vspace = vspace(ans) + 62 jacobian_shape = ans_vspace.shape + vspace(x).shape + +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:10, in make_vjp(fun, x) + 8 def make_vjp(fun, x): + 9 start_node = VJPNode.new_root() +---> 10 end_value, end_node = trace(start_node, fun, x) + 11 if end_node is None: + 12 def vjp(g): return vspace(x).zeros() + +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:10, in trace(start_node, fun, x) + 8 with trace_stack.new_trace() as t: + 9 start_box = new_box(x, t, start_node) +---> 10 end_box = fun(start_box) + 11 if isbox(end_box) and end_box._trace == start_box._trace: + 12 return end_box._value, end_box._node + +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:15, in unary_to_nary.<locals>.nary_operator.<locals>.nary_f.<locals>.unary_f(x) + 13 else: + 14 subargs = subvals(args, zip(argnum, x)) +---> 15 return fun(*subargs, **kwargs) + +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:15, in unary_to_nary.<locals>.nary_operator.<locals>.nary_f.<locals>.unary_f(x) + 13 else: + 14 subargs = subvals(args, zip(argnum, x)) +---> 15 return fun(*subargs, **kwargs) + +Cell In[9], line 61, in g_trial(point, P) + 59 def g_trial(point,P): + 60 x,t = point +---> 61 return (1-t)*u(x) + x*(1-x)*t*deep_neural_network(P,point) + +Cell In[9], line 48, in deep_neural_network(deep_params, x) + 45 w_output = deep_params[-1] + 47 # Include bias: +---> 48 x_prev = np.concatenate((np.ones((1,num_points)), x_prev), axis = 0) + 50 z_output = np.matmul(w_output, x_prev) + 51 x_output = z_output + +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_wrapper.py:38, in <lambda>(arr_list, axis) + 35 @primitive + 36 def concatenate_args(axis, *args): + 37 return _np.concatenate(args, axis).view(ndarray) +---> 38 concatenate = lambda arr_list, axis=0 : concatenate_args(axis, *arr_list) + 39 vstack = row_stack = lambda tup: concatenate([atleast_2d(_m) for _m in tup], axis=0) + 40 def hstack(tup): File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:45, in primitive.<locals>.f_wrapped(*args, **kwargs) 43 argnums = tuple(argnum for argnum, _ in boxed_args) @@ -2655,13 +2734,24 @@ Using TensorFlow results in a much better execution time. Try it!

    35 .format(fun_name, parent_argnums)) ---> 36 self.vjp = vjpmaker(parent_argnums, value, args, kwargs) -File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:56, in defvjp.<locals>.vjp_argnums(argnums, ans, args, kwargs) - 53 argnums = kwargs.get('argnums', count()) - 54 vjps_dict = {argnum : translate_vjp(vjpmaker, fun, argnum) - 55 for argnum, vjpmaker in zip(argnums, vjpmakers)} ----> 56 def vjp_argnums(argnums, ans, args, kwargs): - 57 L = len(argnums) - 58 # These first two cases are just optimizations +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:48, in defvjp_argnum.<locals>.vjp_argnums(argnums, *args) + 47 def vjp_argnums(argnums, *args): +---> 48 vjps = [vjpmaker(argnum, *args) for argnum in argnums] + 49 return lambda g: (vjp(g) for vjp in vjps) + +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:48, in <listcomp>(.0) + 47 def vjp_argnums(argnums, *args): +---> 48 vjps = [vjpmaker(argnum, *args) for argnum in argnums] + 49 return lambda g: (vjp(g) for vjp in vjps) + +File ~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_vjps.py:537, in grad_concatenate_args(argnum, ans, axis_args, kwargs) + 532 defvjp(tensordot_adjoint_1, lambda ans, A, G, axes, An, Bn: lambda B: match_complex(A, tensordot_adjoint_0(B, G, axes, An, Bn)), + 533 lambda ans, A, G, axes, An, Bn: lambda B: match_complex(G, anp.tensordot(A, B, axes))) + 534 defvjp(anp.outer, lambda ans, a, b : lambda g: match_complex(a, anp.dot(g, b.T)), + 535 lambda ans, a, b : lambda g: match_complex(b, anp.dot(a.T, g))) +--> 537 def grad_concatenate_args(argnum, ans, axis_args, kwargs): + 538 axis, args = axis_args[0], axis_args[1:] + 539 sizes = [anp.shape(a)[axis] for a in args[:argnum]] KeyboardInterrupt:
    diff --git a/doc/LectureNotes/_build/html/chapter12.html b/doc/LectureNotes/_build/html/chapter12.html index 026f40c5e..ec85c764b 100644 --- a/doc/LectureNotes/_build/html/chapter12.html +++ b/doc/LectureNotes/_build/html/chapter12.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/chapter13.html b/doc/LectureNotes/_build/html/chapter13.html index 483c3da8f..37df9e46a 100644 --- a/doc/LectureNotes/_build/html/chapter13.html +++ b/doc/LectureNotes/_build/html/chapter13.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/chapter2.html b/doc/LectureNotes/_build/html/chapter2.html index ba1404f27..fa7ffa3ee 100644 --- a/doc/LectureNotes/_build/html/chapter2.html +++ b/doc/LectureNotes/_build/html/chapter2.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -1243,10 +1270,10 @@ covariance matrix through the np.linalg.eig() function.

    -
    -0.15792278643800434
    -3.469596964296967
    -[[0.82924408 2.51097872]
    - [2.51097872 8.91660026]]
    +
    0.05005634426334421
    +4.366375489616074
    +[[ 0.93787605  2.95563211]
    + [ 2.95563211 10.33025801]]
     
    @@ -1283,10 +1310,10 @@ a more brute force way. Here we scale the mean values for each column of the des
    -
    0.08557805981945521
    -1.6515332649941654
    -[[1.         0.67509467]
    - [0.67509467 1.        ]]
    +
    0.07808426989543932
    +1.4121966338442804
    +[[1.         0.70362677]
    + [0.70362677 1.        ]]
     
    @@ -1316,30 +1343,30 @@ this matrix we easily see that it is a positive definite matrix.

    -
    [[-1.2222736  -2.47780495]
    - [-0.84963695 -3.33047051]
    - [ 1.52869849  3.46922796]
    - [-0.31385129 -1.2500845 ]
    - [-0.02761005  0.80816668]
    - [-0.79036971 -1.8310483 ]
    - [ 0.22681817 -0.28207517]
    - [-0.69475072 -1.99810021]
    - [-0.17979265 -0.38267862]
    - [ 2.3227683   7.27486761]]
    +
    [[-0.34661376 -1.6809195 ]
    + [ 0.05792927  0.30915293]
    + [ 0.65183066  3.00564344]
    + [ 1.75018686  4.35667342]
    + [-0.75682834 -1.67875366]
    + [ 1.16654048  3.9065894 ]
    + [-1.86267497 -5.53585173]
    + [ 0.29803738  2.45731144]
    + [-0.63031478 -2.76157429]
    + [-0.3280928  -2.37827145]]
               0         1
    -0 -1.222274 -2.477805
    -1 -0.849637 -3.330471
    -2  1.528698  3.469228
    -3 -0.313851 -1.250084
    -4 -0.027610  0.808167
    -5 -0.790370 -1.831048
    -6  0.226818 -0.282075
    -7 -0.694751 -1.998100
    -8 -0.179793 -0.382679
    -9  2.322768  7.274868
    +0 -0.346614 -1.680920
    +1  0.057929  0.309153
    +2  0.651831  3.005643
    +3  1.750187  4.356673
    +4 -0.756828 -1.678754
    +5  1.166540  3.906589
    +6 -1.862675 -5.535852
    +7  0.298037  2.457311
    +8 -0.630315 -2.761574
    +9 -0.328093 -2.378271
               0         1
    -0  1.000000  0.972591
    -1  0.972591  1.000000
    +0  1.000000  0.959076
    +1  0.959076  1.000000
     
    @@ -1396,37 +1423,37 @@ this matrix we easily see that it is a positive definite matrix.

         0         1         2         3         4         5         6         7   \
     0   0.0  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000   
    -1   0.0  0.078704  0.076964  0.076716  0.075698  0.074706  0.067097  0.066458   
    -2   0.0  0.076964  0.076620  0.076716  0.076383  0.075972  0.068301  0.068022   
    -3   0.0  0.076716  0.076716  0.079642  0.079578  0.079412  0.072860  0.072759   
    -4   0.0  0.075698  0.076383  0.079578  0.079873  0.080016  0.073481  0.073581   
    -5   0.0  0.074706  0.075972  0.079412  0.080016  0.080425  0.073934  0.074208   
    -6   0.0  0.067097  0.068301  0.072860  0.073481  0.073934  0.068963  0.069275   
    -7   0.0  0.066458  0.068022  0.072759  0.073581  0.074208  0.069275  0.069704   
    -8   0.0  0.065860  0.067729  0.072633  0.073627  0.074407  0.069521  0.070054   
    -9   0.0  0.065299  0.067429  0.072489  0.073634  0.074548  0.069717  0.070342   
    -10  0.0  0.058190  0.060003  0.065359  0.066349  0.067149  0.063511  0.064061   
    -11  0.0  0.057786  0.059797  0.065273  0.066380  0.067284  0.063684  0.064307   
    -12  0.0  0.057415  0.059597  0.065186  0.066395  0.067392  0.063832  0.064521   
    -13  0.0  0.057076  0.059406  0.065101  0.066402  0.067482  0.063965  0.064713   
    -14  0.0  0.056767  0.059226  0.065024  0.066406  0.067560  0.064087  0.064889   
    +1   0.0  0.084996  0.084434  0.084712  0.085455  0.086212  0.075771  0.076638   
    +2   0.0  0.084434  0.084514  0.084042  0.085120  0.086230  0.075176  0.076259   
    +3   0.0  0.084712  0.084042  0.089718  0.090439  0.091159  0.083479  0.084358   
    +4   0.0  0.085455  0.085120  0.090439  0.091388  0.092347  0.084091  0.085139   
    +5   0.0  0.086212  0.086230  0.091159  0.092347  0.093554  0.084695  0.085918   
    +6   0.0  0.075771  0.075176  0.083479  0.084091  0.084695  0.079903  0.080657   
    +7   0.0  0.076638  0.076259  0.084358  0.085139  0.085918  0.080657  0.081544   
    +8   0.0  0.077567  0.077411  0.085294  0.086250  0.087210  0.081457  0.082482   
    +9   0.0  0.078557  0.078636  0.086286  0.087424  0.088574  0.082303  0.083471   
    +10  0.0  0.066997  0.066458  0.075909  0.076389  0.076857  0.074221  0.074824   
    +11  0.0  0.067764  0.067380  0.076693  0.077304  0.077906  0.074892  0.075602   
    +12  0.0  0.068592  0.068369  0.077539  0.078284  0.079027  0.075615  0.076436   
    +13  0.0  0.069484  0.069427  0.078447  0.079334  0.080222  0.076393  0.077329   
    +14  0.0  0.070441  0.070558  0.079420  0.080453  0.081494  0.077226  0.078282   
     
               8         9         10        11        12        13        14  
     0   0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  
    -1   0.065860  0.065299  0.058190  0.057786  0.057415  0.057076  0.056767  
    -2   0.067729  0.067429  0.060003  0.059797  0.059597  0.059406  0.059226  
    -3   0.072633  0.072489  0.065359  0.065273  0.065186  0.065101  0.065024  
    -4   0.073627  0.073634  0.066349  0.066380  0.066395  0.066402  0.066406  
    -5   0.074407  0.074548  0.067149  0.067284  0.067392  0.067482  0.067560  
    -6   0.069521  0.069717  0.063511  0.063684  0.063832  0.063965  0.064087  
    -7   0.070054  0.070342  0.064061  0.064307  0.064521  0.064713  0.064889  
    -8   0.070496  0.070868  0.064530  0.064841  0.065115  0.065361  0.065588  
    -9   0.070868  0.071315  0.064933  0.065304  0.065633  0.065930  0.066204  
    -10  0.064530  0.064933  0.059711  0.060043  0.060340  0.060612  0.060864  
    -11  0.064841  0.065304  0.060043  0.060422  0.060764  0.061076  0.061367  
    -12  0.065115  0.065633  0.060340  0.060764  0.061146  0.061496  0.061822  
    -13  0.065361  0.065930  0.060612  0.061076  0.061496  0.061882  0.062242  
    -14  0.065588  0.066204  0.060864  0.061367  0.061822  0.062242  0.062634  
    +1   0.077567  0.078557  0.066997  0.067764  0.068592  0.069484  0.070441  
    +2   0.077411  0.078636  0.066458  0.067380  0.068369  0.069427  0.070558  
    +3   0.085294  0.086286  0.075909  0.076693  0.077539  0.078447  0.079420  
    +4   0.086250  0.087424  0.076389  0.077304  0.078284  0.079334  0.080453  
    +5   0.087210  0.088574  0.076857  0.077906  0.079027  0.080222  0.081494  
    +6   0.081457  0.082303  0.074221  0.074892  0.075615  0.076393  0.077226  
    +7   0.082482  0.083471  0.074824  0.075602  0.076436  0.077329  0.078282  
    +8   0.083564  0.084702  0.075463  0.076351  0.077301  0.078313  0.079391  
    +9   0.084702  0.085996  0.076138  0.077141  0.078210  0.079347  0.080555  
    +10  0.075463  0.076138  0.070095  0.070630  0.071208  0.071831  0.072500  
    +11  0.076351  0.077141  0.070630  0.071252  0.071921  0.072638  0.073405  
    +12  0.077301  0.078210  0.071208  0.071921  0.072684  0.073499  0.074368  
    +13  0.078313  0.079347  0.071831  0.072638  0.073499  0.074417  0.075392  
    +14  0.079391  0.080555  0.072500  0.073405  0.074368  0.075392  0.076479  
     
    diff --git a/doc/LectureNotes/_build/html/chapter3.html b/doc/LectureNotes/_build/html/chapter3.html index 52d30bfcd..68df75ce1 100644 --- a/doc/LectureNotes/_build/html/chapter3.html +++ b/doc/LectureNotes/_build/html/chapter3.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -797,10 +824,10 @@ number \(i\) is left out. Usin
    -
    Runtime: 0.148282 sec
    +
    Runtime: 0.14708 sec
     Jackknife Statistics :
     original           bias      std. error
    - 99.9492        99.9392        0.150707
    + 100.034        100.024        0.147836
     
    @@ -1019,7 +1046,7 @@ theorem.

    Bootstrap Statistics :
     original           bias      std. error
    - 100.154  14.9603        100.154        0.149425
    + 100.179  15.0422        100.179        0.151522
     
    @@ -1236,9 +1263,7 @@ Error: 0.06547790180152355 Bias^2: 0.06208238634231949 Var: 0.0033955154592040936 0.06547790180152355 >= 0.06208238634231949 + 0.0033955154592040936 = 0.06547790180152359 -
    -
    -
    Polynomial degree: 4
    +Polynomial degree: 4
     Error: 0.06844519414009445
     Bias^2: 0.06453579006728324
     Var: 0.003909404072811226
    @@ -1265,14 +1290,14 @@ Error: 0.017355848195593347
     Bias^2: 0.010331721306655127
     Var: 0.007024126888938232
     0.017355848195593347 >= 0.010331721306655127 + 0.007024126888938232 = 0.01735584819559336
    -Polynomial degree: 9
    +
    +
    +
    Polynomial degree: 9
     Error: 0.02660572763718093
     Bias^2: 0.010018312644137363
     Var: 0.016587414993043573
     0.02660572763718093 >= 0.010018312644137363 + 0.016587414993043573 = 0.026605727637180936
    -
    -
    -
    Polynomial degree: 10
    +Polynomial degree: 10
     Error: 0.021592704588025025
     Bias^2: 0.010516485576645508
     Var: 0.011076219011379514
    @@ -1294,7 +1319,7 @@ Var: 0.20867052175034223
     0.22842468702219465 >= 0.01975416527185249 + 0.20867052175034223 = 0.2284246870221947
     
    -_images/chapter3_66_4.png +_images/chapter3_66_3.png

    The bias-variance tradeoff summarizes the fundamental tension in @@ -1609,9 +1634,9 @@ Mean squared error on training data: 0.00060704 Mean squared error on test data: 3262.26814548 -

    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_49101/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
       plt.plot(polynomial, np.log10(trainingerror), label='Training Error')
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_49101/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
       plt.plot(polynomial, np.log10(testerror), label='Test Error')
     
    @@ -1845,7 +1870,7 @@ cross-validation (LOOCV).

    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_49101/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
       plt.plot(polynomial, np.log10(estimated_mse_sklearn), label='Test Error')
     
    @@ -2734,7 +2759,7 @@ linear system as an equation would reduce this down to
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_49101/4162706317.py:7: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/4162706317.py:7: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
       cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)
     
    @@ -2878,7 +2903,7 @@ with the form utilized in linear regression, viz.

    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_49101/3777801602.py:7: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/3777801602.py:7: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
       cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)
     
    @@ -2918,7 +2943,7 @@ cost function is given by

    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_49101/438060758.py:10: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/438060758.py:10: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
       cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)
     
    @@ -2953,7 +2978,7 @@ cost function is given by

    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_49101/3544313922.py:9: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/3544313922.py:9: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.
       cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)
     
    @@ -3006,43 +3031,43 @@ constant as opposed to ridge and OLS. We get a sparse solution with
    -
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    +
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    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_coordinate_descent.py:628: ConvergenceWarning: Objective did not converge. You might want to increase the number of iterations, check the scale of the features or consider increasing regularisation. Duality gap: 3.924e+00, tolerance: 1.797e+00
       model = cd_fast.enet_coordinate_descent(
     
    - 10%|██████████                                                                                          | 1/10 [00:01<00:11,  1.25s/it]
    + 10%|███████████████████▏                                                                                                                                                                            | 1/10 [00:00<00:07,  1.14it/s]
     
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    -
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     50%|████████████████████████████████████████████████████████████████████████████████████████████████                                                                                                | 5/10 [00:03<00:03,  1.33it/s]
     
    -
     60%|████████████████████████████████████████████████████████████                                        | 6/10 [00:06<00:03,  1.00it/s]
    +
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     70%|██████████████████████████████████████████████████████████████████████                              | 7/10 [00:07<00:03,  1.02s/it]
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     70%|██████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████▍                                                         | 7/10 [00:05<00:02,  1.28it/s]
     
    -
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    +
     80%|█████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████▌                                      | 8/10 [00:06<00:01,  1.33it/s]
     
    -
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    +
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    -
    100%|███████████████████████████████████████████████████████████████████████████████████████████████████| 10/10 [00:10<00:00,  1.00s/it]
    +
    100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 10/10 [00:07<00:00,  1.35it/s]
     
    -
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    +
    100%|███████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████████| 10/10 [00:07<00:00,  1.30it/s]
     
    
    diff --git a/doc/LectureNotes/_build/html/chapter4.html b/doc/LectureNotes/_build/html/chapter4.html
    index a9e62d2ed..dbf89d63a 100644
    --- a/doc/LectureNotes/_build/html/chapter4.html
    +++ b/doc/LectureNotes/_build/html/chapter4.html
    @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
      
      
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/chapter5.html b/doc/LectureNotes/_build/html/chapter5.html index 646280ad4..082e6c7e3 100644 --- a/doc/LectureNotes/_build/html/chapter5.html +++ b/doc/LectureNotes/_build/html/chapter5.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/chapter6.html b/doc/LectureNotes/_build/html/chapter6.html index 43970b9b8..cf830fab8 100644 --- a/doc/LectureNotes/_build/html/chapter6.html +++ b/doc/LectureNotes/_build/html/chapter6.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -725,9 +752,9 @@ predicting the target features of query instances is as follows:

    2nd degree coefficients:
    -zero power:  7.373465215701515
    -first power:  -0.037299816041296285
    -second power:  0.00019961646575285301
    +zero power:  2.1810415856976313
    +first power:  -0.2546817701709956
    +second power:  0.0008297120772365539
     
    _images/chapter6_1_1.png @@ -1590,16 +1617,16 @@ attributes at each step while growing the tree.

    (426, 30)
     (143, 30)
    +Test set accuracy with Logistic Regression: 0.94
     
    -
    Test set accuracy with Logistic Regression: 0.94
    -Test set accuracy with SVM: 0.63
    -Test set accuracy with Decision Trees: 0.90
    +
    Test set accuracy with SVM: 0.63
    +
    +
    +
    Test set accuracy with Decision Trees: 0.90
     Test set accuracy Logistic Regression with scaled data: 0.96
     Test set accuracy SVM with scaled data: 0.96
    -
    -
    -
    Test set accuracy with Decision Trees and scaled data: 0.89
    +Test set accuracy with Decision Trees and scaled data: 0.89
     
    /Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/linear_model/_logistic.py:460: ConvergenceWarning: lbfgs failed to converge (status=1):
    diff --git a/doc/LectureNotes/_build/html/chapter7.html b/doc/LectureNotes/_build/html/chapter7.html
    index 226ad7c3c..31e009717 100644
    --- a/doc/LectureNotes/_build/html/chapter7.html
    +++ b/doc/LectureNotes/_build/html/chapter7.html
    @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
      
      
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/chapter8.html b/doc/LectureNotes/_build/html/chapter8.html index a0361deb8..9878afa42 100644 --- a/doc/LectureNotes/_build/html/chapter8.html +++ b/doc/LectureNotes/_build/html/chapter8.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -679,10 +706,10 @@ covariance matrix through the np.linalg.eig() function.

    -
    -0.046842629321028326
    -3.909446359461397
    -[[0.76681867 2.32238906]
    - [2.32238906 8.10983159]]
    +
    -0.1477190177681485
    +3.5426270409877345
    +[[1.01393496 3.02432309]
    + [3.02432309 9.86643649]]
     
    @@ -722,10 +749,10 @@ a more brute force way. Here we scale the mean values for each column of the des
    -
    0.0798590438380667
    -1.270350130579073
    -[[1.         0.58734026]
    - [0.58734026 1.        ]]
    +
    0.08793554992813543
    +1.9271707090281667
    +[[1.        0.6690108]
    + [0.6690108 1.       ]]
     
    @@ -754,30 +781,30 @@ this matrix we easily see that it is a positive definite matrix.

    -
    [[-0.34565973 -1.4704785 ]
    - [-0.29669702 -0.75437273]
    - [ 1.05100602  2.13022421]
    - [ 0.40103689  3.11022072]
    - [ 0.01591047 -0.05087888]
    - [-0.89261577 -1.74947597]
    - [-0.21796226 -0.62901905]
    - [-0.5961905  -2.9242511 ]
    - [ 0.39428522  1.65208925]
    - [ 0.48688666  0.68594205]]
    +
    [[-0.95395895 -3.11535632]
    + [ 1.05641352  3.6533977 ]
    + [ 0.801356    4.56475921]
    + [-0.69136414 -1.7642448 ]
    + [ 0.68822559  0.63896182]
    + [ 0.30916988  1.25233253]
    + [ 0.10008326  0.10539984]
    + [-0.52155823 -1.85777073]
    + [ 0.24377554  0.94616709]
    + [-1.03214247 -4.42364634]]
               0         1
    -0 -0.345660 -1.470478
    -1 -0.296697 -0.754373
    -2  1.051006  2.130224
    -3  0.401037  3.110221
    -4  0.015910 -0.050879
    -5 -0.892616 -1.749476
    -6 -0.217962 -0.629019
    -7 -0.596190 -2.924251
    -8  0.394285  1.652089
    -9  0.486887  0.685942
    -         0        1
    -0  1.00000  0.87078
    -1  0.87078  1.00000
    +0 -0.953959 -3.115356
    +1  1.056414  3.653398
    +2  0.801356  4.564759
    +3 -0.691364 -1.764245
    +4  0.688226  0.638962
    +5  0.309170  1.252333
    +6  0.100083  0.105400
    +7 -0.521558 -1.857771
    +8  0.243776  0.946167
    +9 -1.032142 -4.423646
    +          0         1
    +0  1.000000  0.947607
    +1  0.947607  1.000000
     
    @@ -834,37 +861,37 @@ this matrix we easily see that it is a positive definite matrix.

         0         1         2         3         4         5         6         7   \
     0   0.0  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000   
    -1   0.0  0.078785  0.081798  0.081422  0.083540  0.085693  0.075398  0.077082   
    -2   0.0  0.081798  0.085346  0.084157  0.086550  0.088986  0.077522  0.079381   
    -3   0.0  0.081422  0.084157  0.090290  0.092347  0.094426  0.087176  0.088908   
    -4   0.0  0.083540  0.086550  0.092347  0.094577  0.096837  0.088893  0.090751   
    -5   0.0  0.085693  0.088986  0.094426  0.096837  0.099287  0.090623  0.092613   
    -6   0.0  0.075398  0.077522  0.087176  0.088893  0.090623  0.086538  0.088061   
    -7   0.0  0.077082  0.079381  0.088908  0.090751  0.092613  0.088061  0.089682   
    -8   0.0  0.078824  0.081308  0.090696  0.092672  0.094671  0.089629  0.091353   
    -9   0.0  0.080630  0.083309  0.092544  0.094659  0.096803  0.091246  0.093078   
    -10  0.0  0.068605  0.070202  0.081597  0.082978  0.084362  0.082661  0.083943   
    -11  0.0  0.070006  0.071729  0.083096  0.084574  0.086059  0.084022  0.085383   
    -12  0.0  0.071462  0.073318  0.084650  0.086230  0.087822  0.085431  0.086875   
    -13  0.0  0.072976  0.074973  0.086263  0.087951  0.089654  0.086890  0.088422   
    -14  0.0  0.074552  0.076697  0.087938  0.089739  0.091561  0.088402  0.090025   
    +1   0.0  0.079977  0.079947  0.079510  0.081431  0.083259  0.070891  0.072689   
    +2   0.0  0.079947  0.081195  0.081235  0.083734  0.086125  0.073415  0.075557   
    +3   0.0  0.079510  0.081235  0.084255  0.086970  0.089578  0.078324  0.080630   
    +4   0.0  0.081431  0.083734  0.086970  0.090033  0.092982  0.081221  0.083765   
    +5   0.0  0.083259  0.086125  0.089578  0.092982  0.096270  0.084018  0.086799   
    +6   0.0  0.070891  0.073415  0.078324  0.081221  0.084018  0.074971  0.077341   
    +7   0.0  0.072689  0.075557  0.080630  0.083765  0.086799  0.077341  0.079887   
    +8   0.0  0.074531  0.077736  0.082971  0.086346  0.089619  0.079739  0.082464   
    +9   0.0  0.076418  0.079959  0.085353  0.088970  0.092486  0.082173  0.085079   
    +10  0.0  0.062300  0.065028  0.070886  0.073685  0.076396  0.069322  0.071578   
    +11  0.0  0.063862  0.066824  0.072817  0.075794  0.078684  0.071279  0.073672   
    +12  0.0  0.065482  0.068680  0.074807  0.077965  0.081038  0.073288  0.075822   
    +13  0.0  0.067164  0.070600  0.076859  0.080205  0.083465  0.075356  0.078035   
    +14  0.0  0.068912  0.072590  0.078981  0.082519  0.085973  0.077486  0.080316   
     
               8         9         10        11        12        13        14  
     0   0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  0.000000  
    -1   0.078824  0.080630  0.068605  0.070006  0.071462  0.072976  0.074552  
    -2   0.081308  0.083309  0.070202  0.071729  0.073318  0.074973  0.076697  
    -3   0.090696  0.092544  0.081597  0.083096  0.084650  0.086263  0.087938  
    -4   0.092672  0.094659  0.082978  0.084574  0.086230  0.087951  0.089739  
    -5   0.094671  0.096803  0.084362  0.086059  0.087822  0.089654  0.091561  
    -6   0.089629  0.091246  0.082661  0.084022  0.085431  0.086890  0.088402  
    -7   0.091353  0.093078  0.083943  0.085383  0.086875  0.088422  0.090025  
    -8   0.093132  0.094970  0.085259  0.086782  0.088361  0.090000  0.091700  
    -9   0.094970  0.096928  0.086611  0.088222  0.089892  0.091627  0.093429  
    -10  0.085259  0.086611  0.080195  0.081374  0.082592  0.083851  0.085152  
    -11  0.086782  0.088222  0.081374  0.082619  0.083906  0.085237  0.086615  
    -12  0.088361  0.089892  0.082592  0.083906  0.085265  0.086673  0.088130  
    -13  0.090000  0.091627  0.083851  0.085237  0.086673  0.088160  0.089702  
    -14  0.091700  0.093429  0.085152  0.086615  0.088130  0.089702  0.091331  
    +1   0.074531  0.076418  0.062300  0.063862  0.065482  0.067164  0.068912  
    +2   0.077736  0.079959  0.065028  0.066824  0.068680  0.070600  0.072590  
    +3   0.082971  0.085353  0.070886  0.072817  0.074807  0.076859  0.078981  
    +4   0.086346  0.088970  0.073685  0.075794  0.077965  0.080205  0.082519  
    +5   0.089619  0.092486  0.076396  0.078684  0.081038  0.083465  0.085973  
    +6   0.079739  0.082173  0.069322  0.071279  0.073288  0.075356  0.077486  
    +7   0.082464  0.085079  0.071578  0.073672  0.075822  0.078035  0.080316  
    +8   0.085222  0.088023  0.073858  0.076091  0.078386  0.080747  0.083182  
    +9   0.088023  0.091015  0.076167  0.078544  0.080987  0.083501  0.086095  
    +10  0.073858  0.076167  0.065149  0.067003  0.068903  0.070855  0.072863  
    +11  0.076091  0.078544  0.067003  0.068967  0.070980  0.073048  0.075177  
    +12  0.078386  0.080987  0.068903  0.070980  0.073109  0.075298  0.077553  
    +13  0.080747  0.083501  0.070855  0.073048  0.075298  0.077613  0.079998  
    +14  0.083182  0.086095  0.072863  0.075177  0.077553  0.079998  0.082518  
     
    @@ -1053,10 +1080,10 @@ We can write our own code or simply use either the functionaly of numpy<
              0         1
    -0  4.034057  2.045548
    -1  2.045548  2.024217
    -[[4.03405654 2.04554803]
    - [2.04554803 2.02421742]]
    +0  3.970827  1.972533
    +1  1.972533  1.968650
    +[[3.97082748 1.97253307]
    + [1.97253307 1.96865004]]
     
    @@ -1083,8 +1110,8 @@ Our own code here is not very elegant and asks for obvious improvements. It is t
    Centered covariance using own code
    -[[4.03405654 2.04554803]
    - [2.04554803 2.02421742]]
    +[[3.97082748 1.97253307]
    + [1.97253307 1.96865004]]
     
    _images/chapter8_65_1.png @@ -1144,16 +1171,16 @@ questions.

    Eigenvalues of Covariance matrix
    -5.30820040103372
    -0.7500735612987705
    +5.181766185664273
    +0.7577113351177733
     First eigenvector
    -[0.84880366 0.52870818]
    +[0.85222243 0.52317963]
     Second eigenvector
    -[-0.52870818  0.84880366]
    +[-0.52317963  0.85222243]
     
    Eigenvector of largest eigenvalue
    -[-0.84880366 -0.52870818]
    +[0.85222243 0.52317963]
     
    @@ -1494,9 +1521,7 @@ Here we compute performance scores on the training data using logistic regressio
    Train set accuracy from Logistic Regression: 0.95
    -
    -
    -
    Train set accuracy scaled data: 0.99
    +Train set accuracy scaled data: 0.99
     Train set accuracy scaled and PCA data: 0.96
     
    diff --git a/doc/LectureNotes/_build/html/chapter9.html b/doc/LectureNotes/_build/html/chapter9.html index d297ad7de..176b3c4aa 100644 --- a/doc/LectureNotes/_build/html/chapter9.html +++ b/doc/LectureNotes/_build/html/chapter9.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/chapteroptimization.html b/doc/LectureNotes/_build/html/chapteroptimization.html index 64e6c89cd..38b4f0676 100644 --- a/doc/LectureNotes/_build/html/chapteroptimization.html +++ b/doc/LectureNotes/_build/html/chapteroptimization.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/clustering.html b/doc/LectureNotes/_build/html/clustering.html index 432b73c49..750cdf25a 100644 --- a/doc/LectureNotes/_build/html/clustering.html +++ b/doc/LectureNotes/_build/html/clustering.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/exercisesweek34.html b/doc/LectureNotes/_build/html/exercisesweek34.html index bd132689d..7260320cd 100644 --- a/doc/LectureNotes/_build/html/exercisesweek34.html +++ b/doc/LectureNotes/_build/html/exercisesweek34.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/exercisesweek35.html b/doc/LectureNotes/_build/html/exercisesweek35.html index c38408a3c..b3b36aa11 100644 --- a/doc/LectureNotes/_build/html/exercisesweek35.html +++ b/doc/LectureNotes/_build/html/exercisesweek35.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/exercisesweek36.html b/doc/LectureNotes/_build/html/exercisesweek36.html index f46b4de7b..f80eb4cc1 100644 --- a/doc/LectureNotes/_build/html/exercisesweek36.html +++ b/doc/LectureNotes/_build/html/exercisesweek36.html @@ -55,7 +55,7 @@ const thebe_selector_output = ".output, .cell_output" - + @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -590,7 +617,7 @@ Ridge regression and ordinary least squares.

    next

    -

    Week 36: Linear Rgeression and Statistical interpretations

    +

    Week 36: Linear Regression and Statistical interpretations

    diff --git a/doc/LectureNotes/_build/html/exercisesweek37.html b/doc/LectureNotes/_build/html/exercisesweek37.html index fcd977a8a..c09db31f2 100644 --- a/doc/LectureNotes/_build/html/exercisesweek37.html +++ b/doc/LectureNotes/_build/html/exercisesweek37.html @@ -288,6 +288,11 @@ const thebe_selector_output = ".output, .cell_output" Week 37: Statistical interpretations and Resampling Methods +
  • + + Exercises week 38 + +
  • diff --git a/doc/LectureNotes/_build/html/linalg.html b/doc/LectureNotes/_build/html/linalg.html index 04b3a6f3e..930740b76 100644 --- a/doc/LectureNotes/_build/html/linalg.html +++ b/doc/LectureNotes/_build/html/linalg.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"

  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -581,8 +608,8 @@ matrices and vectors.

    -
    [ 1.24155894  0.62765236 -0.87599676 -0.45422069  1.14966323 -0.13318759
    - -0.4768597   0.11400097  0.43442461  0.37504943]
    +
    [ 1.02808229  1.3194467  -1.8476874  -0.00537955 -0.47991892 -1.54490887
    + -0.04110474  0.70857635 -1.39855569 -0.11081083]
     
    @@ -803,26 +830,26 @@ as (recall that we user lowercase letters for vectors and uppercase letters for
    -
    [[0.55796518 0.07643382 0.06644775 0.56823411 0.638618   0.06696769
    -  0.89442642 0.33435469 0.24604925 0.88347937]
    - [0.28238649 0.00890669 0.61124231 0.21888121 0.05965043 0.30481195
    -  0.09917303 0.29313228 0.26093249 0.72048339]
    - [0.43295279 0.60393882 0.85533937 0.75199355 0.02629596 0.13929376
    -  0.14092044 0.86260426 0.10694828 0.48593774]
    - [0.26792572 0.40420245 0.15431202 0.51084243 0.74720185 0.60518617
    -  0.64286758 0.63811548 0.24975055 0.2211108 ]
    - [0.83460016 0.95274315 0.63619296 0.59831212 0.40030144 0.9149137
    -  0.61542957 0.30132427 0.26773827 0.59161025]
    - [0.17561484 0.22019267 0.12700133 0.49775827 0.13614217 0.6473418
    -  0.88422263 0.32399798 0.77921992 0.55119373]
    - [0.16526258 0.11500354 0.3952007  0.88354703 0.13156239 0.51569907
    -  0.48898864 0.53607935 0.41691626 0.05210975]
    - [0.41858649 0.64403731 0.08939489 0.33540382 0.08860792 0.91561163
    -  0.06719214 0.17485935 0.16638104 0.73184876]
    - [0.09953815 0.79704553 0.41988809 0.7345483  0.75309603 0.3480159
    -  0.58886887 0.76471048 0.60236121 0.49510364]
    - [0.9090666  0.24502113 0.52511377 0.97056672 0.95154558 0.3823545
    -  0.48447474 0.53603254 0.91358186 0.8840785 ]]
    +
    [[0.04413243 0.8917148  0.26113912 0.87399194 0.30400113 0.35432563
    +  0.05060379 0.65641173 0.77507653 0.83369175]
    + [0.71261809 0.93968601 0.91961463 0.79866484 0.81919129 0.73062648
    +  0.1488598  0.24254071 0.39922082 0.24398826]
    + [0.09171886 0.59348521 0.078588   0.74613334 0.18094575 0.61883807
    +  0.89408972 0.86978877 0.82802004 0.75433448]
    + [0.26715191 0.8905826  0.19852045 0.06432267 0.72771857 0.63030526
    +  0.97272223 0.66289235 0.41744203 0.6663569 ]
    + [0.91114704 0.01530321 0.55020649 0.40140374 0.67100236 0.5847256
    +  0.80410179 0.37055062 0.4729218  0.26775644]
    + [0.34271514 0.45193407 0.55542568 0.82242798 0.40266454 0.64713979
    +  0.03873507 0.81506255 0.72848736 0.16118615]
    + [0.72602818 0.13825388 0.03701105 0.76807288 0.58493493 0.1441031
    +  0.72744372 0.20755569 0.0317606  0.67313212]
    + [0.85005989 0.9485531  0.81622636 0.32003025 0.57914918 0.36482524
    +  0.17934801 0.84726382 0.52397611 0.14829228]
    + [0.18510775 0.22528536 0.56977352 0.53105728 0.43962226 0.06444224
    +  0.01772779 0.20912557 0.08839544 0.06984502]
    + [0.71469351 0.70474145 0.97836358 0.65475653 0.14213876 0.6816947
    +  0.65082441 0.01573768 0.06410638 0.64425744]]
     
    @@ -882,13 +909,13 @@ covariance matrix through the np.linalg.eig() function.

    -
    0.0694169556368514
    -4.182925111119767
    -0.519327774467847
    -[[ 0.92674248  2.77519276  2.60482174]
    - [ 2.77519276  9.52018478  7.80919738]
    - [ 2.60482174  7.80919738 15.48655388]]
    -[21.53541027  0.0988662   4.29920468]
    +
    0.030645975175292262
    +4.057913350391706
    +0.6380763200092493
    +[[ 0.87584434  2.75131415  3.30124108]
    + [ 2.75131415  9.73994248 10.78758569]
    + [ 3.30124108 10.78758569 24.86174943]]
    +[31.05888195  0.08758013  4.33107417]
     
    diff --git a/doc/LectureNotes/_build/html/project1.html b/doc/LectureNotes/_build/html/project1.html index df410add6..5ea5ab481 100644 --- a/doc/LectureNotes/_build/html/project1.html +++ b/doc/LectureNotes/_build/html/project1.html @@ -55,7 +55,7 @@ const thebe_selector_output = ".output, .cell_output" - + @@ -274,7 +274,22 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38
  • @@ -629,8 +644,7 @@ which polynomial fits the data best.

    from random import random, seed fig = plt.figure() -ax = fig.gca(projection='3d') - +ax = fig.add_subplot(projection = '3d') # Make data. x = np.arange(0, 1, 0.05) y = np.arange(0, 1, 0.05) @@ -664,21 +678,7 @@ which polynomial fits the data best.

    -
    ---------------------------------------------------------------------------
    -TypeError                                 Traceback (most recent call last)
    -Cell In[1], line 11
    -      8 from random import random, seed
    -     10 fig = plt.figure()
    ----> 11 ax = fig.gca(projection='3d')
    -     13 # Make data.
    -     14 x = np.arange(0, 1, 0.05)
    -
    -TypeError: gca() got an unexpected keyword argument 'projection'
    -
    -
    -
    <Figure size 640x480 with 0 Axes>
    -
    -
    +_images/project1_7_0.png

    If you wish to compare your results with other on the Franke function or other popular functions tested with linear regression, see the list in Figure 1 of the article by Cook et al at https://arxiv.org/abs/2401.11694.

    @@ -887,6 +887,16 @@ Python program using

    +
    +
    ---------------------------------------------------------------------------
    +NameError                                 Traceback (most recent call last)
    +Cell In[2], line 1
    +----> 1 scipy.misc.imread
    +
    +NameError: name 'scipy' is not defined
    +
    +
    +

    Here is a simple part of a Python code which reads and plots the data from such files

    @@ -1023,11 +1033,11 @@ of code developers and contributors keeps increasing.

    diff --git a/doc/LectureNotes/_build/html/project2.html b/doc/LectureNotes/_build/html/project2.html deleted file mode 100644 index 08b47f67b..000000000 --- a/doc/LectureNotes/_build/html/project2.html +++ /dev/null @@ -1,726 +0,0 @@ - - - - - - - - Project 2 on Machine Learning, deadline November 17 (Midnight) — Applied Data Analysis and Machine Learning - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
    -
    - - - - - - - - -
    - - -
    -
    - - - -
    - - -
    -

    Project 2 on Machine Learning, deadline November 17 (Midnight)

    -

    Data Analysis and Machine Learning FYS-STK3155/FYS4155, Department of Physics, University of Oslo, Norway

    -

    Date: Nov 13, 2023

    -

    Copyright 1999-2023, Data Analysis and Machine Learning FYS-STK3155/FYS4155. Released under CC Attribution-NonCommercial 4.0 license

    -
    -

    Classification and Regression, from linear and logistic regression to neural networks

    -

    The main aim of this project is to study both classification and -regression problems by developing our own feed-forward neural network -(FFNN) code. We can reuse the regression algorithms studied in project

    -
      -
    1. We will also include logistic regression for classification -problems and write our own FFNN code for studying both regression and -classification problems. The codes developed in project 1, including -bootstrap and/or cross-validation as well as the computation of the -mean-squared error and/or the \(R2\) or the accuracy score -(classification problems) functions can also be utilized in the -present analysis.

    2. -
    -

    The data sets that we propose here are (the default sets)

    -
      -
    • Regression (fitting a continuous function). In this part you will need to bring back your results from project 1 and compare these with what you get from your Neural Network code to be developed here. The data sets could be

    • -
    -

    a. A simple one-dimensional function or the Franke function or the terrain data from project 1, or data sets your propose. It could be a simpler function than the Franke function. We recommend testing a simpler function (see below). But if you wish to try more complex function, feel free to do so.

    -
      -
    • Classification. Here you will also need to develop a Logistic regression code that you will use to compare with the Neural Network code. The data set we propose are the so-called Wisconsin Breat Cancer Data data set of images representing various features of tumors. These are discussed intensively in the lecture notes, see for example the slides from week 41. A longer explanation with links to the scientific literature can be found at the Machine Learning repository of the University of California at Irvine. Feel free to consult this site and the pertinent literature.

    • -
    -

    You can find more information about this at the Scikit-Learn site or at the University of California at Irvine.

    -

    However, if you would like to study other data sets, feel free to -propose other sets. What we list here are mere suggestions from our -side. If you opt for another data set, consider using a set which has -been studied in the scientific literature. This makes it easier for -you to compare and analyze your results. Comparing with existing -results from the scientific literature is also an essential element of -the scientific discussion. The University of California at Irvine -with its Machine Learning repository at -https://archive.ics.uci.edu/ml/index.php is an excellent site to -look up for examples and -inspiration. Kaggle.com is an equally -interesting site. Feel free to explore these sites.

    -

    We will start with a regression problem and we will reuse our codes from project 1 starting with writing our own Stochastic Gradient Descent (SGD) code.

    -
    -

    Part a): Write your own Stochastic Gradient Descent code, first step

    -

    In order to get started, we will now replace in our standard ordinary -least squares (OLS) and Ridge regression codes (from project 1) the -matrix inversion algorithm with our own gradient descent (GD) and SGD -codes. You can use the Franke function or the terrain data from -project 1. However, we recommend using a simpler function like -\(f(x)=a_0+a_1x+a_2x^2\) or higher-order one-dimensional polynomials. -You can obviously test your final codes against for example the Franke -function.

    -

    You should include in your analysis of the GD and SGD codes the following elements

    -
      -
    1. A plain gradient descent with a fixed learning rate (you will need to tune it) using the analytical expression for the gradient.

    2. -
    3. Add momentum to the plain GD code and compare convergence with a fixed learning rate (you may need to tune the learning rate). Keep using the analytical expression for the gradient.

    4. -
    5. Repeat these steps for stochastic gradient descent with mini batches and a given number of epochs. Use a tunable learning rate as discussed in the lectures from weeks 39 and 40. Discuss the results as functions of the various parameters (size of batches, number of epochs etc). Use the analytical gradient.

    6. -
    7. Implement the Adagrad method in order to tune the learning rate. Do this with and without momentum for plain gradient descent and SGD.

    8. -
    9. Add RMSprop and Adam to your library of methods for tuning the learning rate.

    10. -
    -

    The lecture notes from weeks 39 and 40contain more -details and code examples. Feel free to use these examples.

    -
      -
    1. Replace thereafter your analytical gradient with either Autograd or JAX

    2. -
    -

    In summary, you should -perform an analysis of the results for OLS and Ridge regression as -function of the chosen learning rates, the number of mini-batches and -epochs as well as algorithm for scaling the learning rate. You can -also compare your own results with those that can be obtained using -for example Scikit-Learn’s various SGD options. Discuss your -results. For Ridge regression you need now to study the results as functions of the hyper-parameter \(\lambda\) and -the learning rate \(\eta\). Discuss your results.

    -

    You will need your SGD code for the setup of the Neural Network and -Logistic Regression codes. You will find the Python Seaborn -package -useful when plotting the results as function of the learning rate -\(\eta\) and the hyper-parameter \(\lambda\) when you use Ridge -regression.

    -

    We recommend reading chapter 8 on optimization from the textbook of Goodfellow, Bengio and Courville. This chapter contains many useful insights and discussions on the optimization part of machine learning.

    -
    -
    -

    Part b): Writing your own Neural Network code

    -

    Your aim now, and this is the central part of this project, is to -write your own Feed Forward Neural Network code implementing the back -propagation algorithm discussed in the lecture slides from week 40 and -week 41.

    -

    We will focus on a regression problem first and study either the simple second-order polynomial from part a) or the -Franke function or terrain data (or both or other data sets) from -project 1.

    -

    Discuss again your choice of cost function.

    -

    Write an FFNN code for regression with a flexible number of hidden -layers and nodes using the Sigmoid function as activation function for -the hidden layers. Initialize the weights using a normal -distribution. How would you initialize the biases? And which -activation function would you select for the final output layer?

    -

    Train your network and compare the results with those from your OLS and Ridge Regression codes from project 1 if you use the Franke function or the terrain data. -You should test your results against a similar code using Scikit-Learn (see the examples in the above lecture notes from week 41) or tensorflow/keras.

    -

    Comment your results and give a critical discussion of the results -obtained with the Linear Regression code and your own Neural Network -code.
    -Make an analysis of the regularization parameters and the learning rates employed to find the optimal MSE and \(R2\) scores.

    -

    A useful reference on the back progagation algorithm is Nielsen’s -book. It is an excellent -read.

    -
    -
    -

    Part c): Testing different activation functions

    -

    You should now also test different activation functions for the hidden layers. Try out the Sigmoid, the RELU and the Leaky RELU functions and discuss your results. You may also study the way you initialize your weights and biases.

    -
    -
    -

    Part d): Classification analysis using neural networks

    -

    With a well-written code it should now be easy to change the -activation function for the output layer.

    -

    Here we will change the cost function for our neural network code -developed in parts b) and c) in order to perform a classification analysis.

    -

    We will here study the Wisconsin Breast Cancer data set. This is a typical binary classification problem with just one single output, either True or Fale, \(0\) or \(1\) etc. -You find more information about this at the Scikit-Learn -site or at the University of California -at Irvine.

    -

    To measure the performance of our classification problem we use the -so-called accuracy score. The accuracy is as you would expect just -the number of correctly guessed targets \(t_i\) divided by the total -number of targets, that is

    -
    -\[ -\text{Accuracy} = \frac{\sum_{i=1}^n I(t_i = y_i)}{n} , -\]
    -

    where \(I\) is the indicator function, \(1\) if \(t_i = y_i\) and \(0\) -otherwise if we have a binary classification problem. Here \(t_i\) -represents the target and \(y_i\) the outputs of your FFNN code and \(n\) is simply the number of targets \(t_i\).

    -

    Discuss your results and give a critical analysis of the various parameters, including hyper-parameters like the learning rates and the regularization parameter \(\lambda\) (as you did in Ridge Regression), various activation functions, number of hidden layers and nodes and activation functions.

    -

    As stated in the introduction, it can also be useful to study other -datasets.

    -

    Again, we strongly recommend that you compare your own neural Network -code for classification and pertinent results against a similar code using Scikit-Learn or tensorflow/keras or pytorch.

    -
    -
    -

    Part e): Write your Logistic Regression code, final step

    -

    Finally, we want to compare the FFNN code we have developed with -Logistic regression, that is we wish to compare our neural network -classification results with the results we can obtain with another -method.

    -

    Define your cost function and the design matrix before you start writing your code. -Write thereafter a Logistic regression code using your SGD algorithm. You can also use standard gradient descent in this case, with a learning rate as hyper-parameter. -Study the results as functions of the chosen learning rates. -Add also an \(l_2\) regularization parameter \(\lambda\). Compare your results with those from your FFNN code as well as those obtained using Scikit-Learn’s logistic regression functionality.

    -

    The weblink here https://medium.com/ai-in-plain-english/comparison-between-logistic-regression-and-neural-networks-in-classifying-digits-dc5e85cd93c3compares logistic regression and FFNN using the so-called MNIST data set. You may find several useful hints and ideas from this article.

    -
    -
    -

    Part f) Critical evaluation of the various algorithms

    -

    After all these glorious calculations, you should now summarize the -various algorithms and come with a critical evaluation of their pros -and cons. Which algorithm works best for the regression case and which -is best for the classification case. These codes can also be part of -your final project 3, but now applied to other data sets.

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    Background literature

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    1. The text of Michael Nielsen is highly recommended, see Nielsen’s book. It is an excellent read.

    2. -
    3. Mehta et al, arXiv 1803.08823, A high-bias, low-variance introduction to Machine Learning for physicists, ArXiv:1803.08823.

    4. -
    -

    c. Goodfellow, Bengio and Courville, Deep Learning.

    -
    -
    -

    Introduction to numerical projects

    -

    Here follows a brief recipe and recommendation on how to write a report for each -project.

    -
      -
    • Give a short description of the nature of the problem and the eventual numerical methods you have used.

    • -
    • Describe the algorithm you have used and/or developed. Here you may find it convenient to use pseudocoding. In many cases you can describe the algorithm in the program itself.

    • -
    • Include the source code of your program. Comment your program properly.

    • -
    • If possible, try to find analytic solutions, or known limits in order to test your program when developing the code.

    • -
    • Include your results either in figure form or in a table. Remember to label your results. All tables and figures should have relevant captions and labels on the axes.

    • -
    • Try to evaluate the reliabilty and numerical stability/precision of your results. If possible, include a qualitative and/or quantitative discussion of the numerical stability, eventual loss of precision etc.

    • -
    • Try to give an interpretation of you results in your answers to the problems.

    • -
    • Critique: if possible include your comments and reflections about the exercise, whether you felt you learnt something, ideas for improvements and other thoughts you’ve made when solving the exercise. We wish to keep this course at the interactive level and your comments can help us improve it.

    • -
    • Try to establish a practice where you log your work at the computerlab. You may find such a logbook very handy at later stages in your work, especially when you don’t properly remember what a previous test version of your program did. Here you could also record the time spent on solving the exercise, various algorithms you may have tested or other topics which you feel worthy of mentioning.

    • -
    -
    -
    -

    Format for electronic delivery of report and programs

    -

    The preferred format for the report is a PDF file. You can also use DOC or postscript formats or as an ipython notebook file. As programming language we prefer that you choose between C/C++, Fortran2008 or Python. The following prescription should be followed when preparing the report:

    -
      -
    • Use Canvas to hand in your projects, log in at https://www.uio.no/english/services/it/education/canvas/ with your normal UiO username and password.

    • -
    • Upload only the report file or the link to your GitHub/GitLab or similar typo of repos! For the source code file(s) you have developed please provide us with your link to your GitHub/GitLab or similar domain. The report file should include all of your discussions and a list of the codes you have developed. Do not include library files which are available at the course homepage, unless you have made specific changes to them.

    • -
    • In your GitHub/GitLab or similar repository, please include a folder which contains selected results. These can be in the form of output from your code for a selected set of runs and input parameters.

    • -
    -

    Finally, -we encourage you to collaborate. Optimal working groups consist of -2-3 students. You can then hand in a common report.

    -
    -
    - - - - -
    - - - -
    -
    - -
    -
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    - - By Morten Hjorth-Jensen
    - - © Copyright 2021.
    -

    -
    -
    - - -
    -
    - - - - - \ No newline at end of file diff --git a/doc/LectureNotes/_build/html/project3.html b/doc/LectureNotes/_build/html/project3.html deleted file mode 100644 index 3f7c78083..000000000 --- a/doc/LectureNotes/_build/html/project3.html +++ /dev/null @@ -1,845 +0,0 @@ - - - - - - - - Project 3 on Machine Learning, deadline December 18 (midnight), 2023 — Applied Data Analysis and Machine Learning - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - - -
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    Project 3 on Machine Learning, deadline December 18 (midnight), 2023

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    Data Analysis and Machine Learning FYS-STK3155/FYS4155, Department of Physics, University of Oslo, Norway

    -

    Date: Nov 13, 2023

    -

    Copyright 1999-2023, Data Analysis and Machine Learning FYS-STK3155/FYS4155. Released under CC Attribution-NonCommercial 4.0 license

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    Paths for project 3

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    -

    Defining the data sets to analyze yourself

    -

    For project 3, you can propose own data sets that relate to your research interests or just use existing data sets from say

    -
      -
    1. Kaggle

    2. -
    3. The University of California at Irvine (UCI) with its machine learning repository.

    4. -
    5. Or other sources.

    6. -
    -

    The approach to the analysis of these new data sets should follow to a large extent what you did in projects 1 and 2. That is:

    -
      -
    1. Whether you end up with a regression or a classification problem, you should employ at least two of the methods we have discussed among linear regression (including Ridge and Lasso), Logistic Regression, Neural Networks, Convolution Neural Networks, Recurrent Neural Networks, and Decision Trees, Random Forests, Bagging and Boosting.

    2. -
    -

    Feel also free to use support vector machines, \(k\)-means and principal components analysis, although the latter have not been covered during the lectures. This material can be found in the lecture notes.

    -

    You could for example explore all of the approaches from decision trees, via bagging and voting classifiers, to random forests, boosting and finally XGboost. If you wish to venture into convolutional neural networks or recurrent neural networks, or extensions of neural networkds, feel free to do so. You can also study unsupervised methods, although we in this course have mainly paid attention to supervised learning.

    -

    For Boosting, feel also free to write your own codes.

    -
      -
    1. For project 3, you should feel free to use your own codes from projects 1 and 2, eventually write your own for Decision trees/random forests/bagging/boosting’ or use the available functionality of Scikit-Learn, Tensorflow, PyTorch etc.

    2. -
    3. The estimates you used and tested in projects 1 and 2 should also be included, that is the \(R2\)-score, MSE, confusion matrix, accuracy score, information gain, ROC and Cumulative gains curves and other, cross-validation and/or bootstrap if these are relevant.

    4. -
    5. Similarly, feel free to explore various activations functions in deep learning and various approachs to stochastic gradient descent approaches.

    6. -
    7. If possible, you should link the data sets with exisiting research and analyses thereof. Scientific articles which have used Machine Learning algorithms to analyze the data are highly welcome. Perhaps you can improve previous analyses and even publish a new article?

    8. -
    9. A critical assessment of the methods with ditto perspectives and recommendations is also something you need to include.

    10. -
    -

    All in all, the report should follow the same pattern as the two previous ones, with abstract, introduction, methods, code, results, conclusions etc..

    -

    We propose also an alternative to the above. This is a project on using machine learning methods (neural networks mainly) to the solution of ordinary differential equations and partial differential equations, with a final twist on how to diagonalize a symmetric matrix with neural networks.

    -

    This is a field with large scientific interest, spanning from studies of turbulence in fluid mechanics and meteorology to the solution of quantum mechanical systems. As reading background you can use the slides from week 43 and/or the textbook by Yadav et al.

    -
    -
    -

    The basic structure of your project

    -

    Here follows a set up on how to structure your report and analyze the data you have opted for.

    -
    -

    Part a)

    -

    The first part deals with structuring and reading the data, much along the same lines as done in projects 1 and 2. Explain how the data are produced and place them in a proper context.

    -
    -
    -

    Part b)

    -

    You need to include at least two central algorithms, or as an alternative explore methods from decisions tree to bagging, random forests and boosting. Explain the basics of the methods you have chosen to work with. This would be your theory part.

    -
    -
    -

    Part c)

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    Then describe your algorithm and its implementation and tests you have performed.

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    Part d)

    -

    Then presents your results and findings, link with existing literature and more.

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    -

    Part e)

    -

    Finally, here you should present a critical assessment of the methods you have studied and link your results with the existing literature.

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    -
    -
    -

    Solving partial differential equations with neural networks

    -

    For this variant of project 3, we will assume that you have some -background in the solution of partial differential equations using -finite difference schemes. We will study the solution of the diffusion -equation in one dimension using a standard explicit scheme and neural -networks to solve the same equations.

    -

    For the explicit scheme, you can study for example chapter 10 of the lecture notes in Computational Physics, FYS3150/4150 or alternative sources from courses like MAT-MEK4270. For the solution of ordinary and partial differential equations using neural networks, the lectures by included in the lectures of week 43 at this course are highly recommended.

    -

    For the machine learning part you can use your own code from project 2 or the functionality of for example Tensorflow/Keras, PyTorch or other libraries such Physics informed machine learning.

    -
    -

    Alternative differential equations

    -

    Note that you can replace the one-dimensional diffusion equation discussed below with other sets of either ordinary differential equations or partial differential equations. -Please discuss such a change with us at the lab.

    -
    -
    -

    Part a), setting up the problem

    -

    The physical problem can be that of the temperature gradient in a rod of length \(L=1\) at \(x=0\) and \(x=1\). -We are looking at a one-dimensional -problem

    -
    -\[ -\frac{\partial^2 u(x,t)}{\partial x^2} =\frac{\partial u(x,t)}{\partial t}, t> 0, x\in [0,L] -\]
    -

    or

    -
    -\[ -u_{xx} = u_t, -\]
    -

    with initial conditions, i.e., the conditions at \(t=0\),

    -
    -\[ -u(x,0)= \sin{(\pi x)} \hspace{0.5cm} 0 < x < L, -\]
    -

    with \(L=1\) the length of the \(x\)-region of interest. The -boundary conditions are

    -
    -\[ -u(0,t)= 0 \hspace{0.5cm} t \ge 0, -\]
    -

    and

    -
    -\[ -u(L,t)= 0 \hspace{0.5cm} t \ge 0. -\]
    -

    The function \(u(x,t)\) can be the temperature gradient of a rod. -As time increases, the velocity approaches a linear variation with \(x\).

    -

    We will limit ourselves to the so-called explicit forward Euler algorithm with discretized versions of time given by a forward formula and a centered difference in space resulting in

    -
    -\[ -u_t\approx \frac{u(x,t+\Delta t)-u(x,t)}{\Delta t}=\frac{u(x_i,t_j+\Delta t)-u(x_i,t_j)}{\Delta t} -\]
    -

    and

    -
    -\[ -u_{xx}\approx \frac{u(x+\Delta x,t)-2u(x,t)+u(x-\Delta x,t)}{\Delta x^2}, -\]
    -

    or

    -
    -\[ -u_{xx}\approx \frac{u(x_i+\Delta x,t_j)-2u(x_i,t_j)+u(x_i-\Delta x,t_j)}{\Delta x^2}. -\]
    -

    Write down the algorithm and the equations you need to implement. -Find also the analytical solution to the problem.

    -
    -
    -

    Part b)

    -

    Implement the explicit scheme algorithm and perform tests of the solution -for \(\Delta x=1/10\), \(\Delta x=1/100\) using \(\Delta t\) as dictated by the stability limit of the explicit scheme. The stability criterion for the explicit scheme requires that \(\Delta t/\Delta x^2 \leq 1/2\).

    -

    Study the solutions at two time points \(t_1\) and \(t_2\) where \(u(x,t_1)\) is smooth but still significantly curved -and \(u(x,t_2)\) is almost linear, close to the stationary state.

    -
    -
    -

    Part c) Neural networks

    -

    Study now the lecture notes on solving ODEs and PDEs with neural -network and use either your own code from project 2 or the -functionality of tensorflow/keras to solve the same equation as in -part b). Discuss your results and compare them with the standard -explicit scheme. Include also the analytical solution and compare with -that.

    -
    -
    -

    Part d) Neural network complexity

    -

    Here we study the stability of the results of the results as functions of the number of hidden nodes, layers and activation functions for the hidden layers. -Increase the number of hidden nodes and layers in order to see if this improves your results. Try also different activation functions for the hidden layers, such as the tanh, ReLU, and other activation functions. -Discuss your results.

    -
    -
    -

    Part e)

    -

    Finally, present a critical assessment of the methods you have studied -and discuss the potential for the solving differential equations with machine learning methods.

    -
    -
    -
    -

    Introduction to numerical projects

    -

    Here follows a brief recipe and recommendation on how to write a report for each -project.

    -
      -
    • Give a short description of the nature of the problem and the eventual numerical methods you have used.

    • -
    • Describe the algorithm you have used and/or developed. Here you may find it convenient to use pseudocoding. In many cases you can describe the algorithm in the program itself.

    • -
    • Include the source code of your program. Comment your program properly.

    • -
    • If possible, try to find analytic solutions, or known limits in order to test your program when developing the code.

    • -
    • Include your results either in figure form or in a table. Remember to label your results. All tables and figures should have relevant captions and labels on the axes.

    • -
    • Try to evaluate the reliabilty and numerical stability/precision of your results. If possible, include a qualitative and/or quantitative discussion of the numerical stability, eventual loss of precision etc.

    • -
    • Try to give an interpretation of you results in your answers to the problems.

    • -
    • Critique: if possible include your comments and reflections about the exercise, whether you felt you learnt something, ideas for improvements and other thoughts you’ve made when solving the exercise. We wish to keep this course at the interactive level and your comments can help us improve it.

    • -
    • Try to establish a practice where you log your work at the computerlab. You may find such a logbook very handy at later stages in your work, especially when you don’t properly remember what a previous test version of your program did. Here you could also record the time spent on solving the exercise, various algorithms you may have tested or other topics which you feel worthy of mentioning.

    • -
    -
    -
    -

    Format for electronic delivery of report and programs

    -

    The preferred format for the report is a PDF file. You can also use DOC or postscript formats or as an ipython notebook file. As programming language we prefer that you choose between C/C++, Fortran2008 or Python. The following prescription should be followed when preparing the report:

    -
      -
    • Use Canvas to hand in your projects, log in at https://www.uio.no/english/services/it/education/canvas/ with your normal UiO username and password.

    • -
    • Upload only the report file or the link to your GitHub/GitLab or similar typo of repos! For the source code file(s) you have developed please provide us with your link to your GitHub/GitLab or similar domain. The report file should include all of your discussions and a list of the codes you have developed. Do not include library files which are available at the course homepage, unless you have made specific changes to them.

    • -
    • In your GitHub/GitLab or similar repository, please include a folder which contains selected results. These can be in the form of output from your code for a selected set of runs and input parameters.

    • -
    -

    Finally, -we encourage you to collaborate. Optimal working groups consist of -2-3 students. You can then hand in a common report.

    -
    -
    -

    Software and needed installations

    -

    If you have Python installed (we recommend Python3) and you feel pretty familiar with installing different packages, -we recommend that you install the following Python packages via pip as

    -
      -
    1. pip install numpy scipy matplotlib ipython scikit-learn tensorflow sympy pandas pillow

    2. -
    -

    For Python3, replace pip with pip3.

    -

    See below for a discussion of tensorflow and scikit-learn.

    -

    For OSX users we recommend also, after having installed Xcode, to install brew. Brew allows -for a seamless installation of additional software via for example

    -
      -
    1. brew install python3

    2. -
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    For Linux users, with its variety of distributions like for example the widely popular Ubuntu distribution -you can use pip as well and simply install Python as

    -
      -
    1. sudo apt-get install python3 (or python for python2.7)

    2. -
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    etc etc.

    -

    If you don’t want to install various Python packages with their dependencies separately, we recommend two widely used distrubutions which set up all relevant dependencies for Python, namely

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      -
    1. Anaconda Anaconda is an open source distribution of the Python and R programming languages for large-scale data processing, predictive analytics, and scientific computing, that aims to simplify package management and deployment. Package versions are managed by the package management system conda

    2. -
    3. Enthought canopy is a Python distribution for scientific and analytic computing distribution and analysis environment, available for free and under a commercial license.

    4. -
    -

    Popular software packages written in Python for ML are

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    These are all freely available at their respective GitHub sites. They -encompass communities of developers in the thousands or more. And the number -of code developers and contributors keeps increasing.

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    - - By Morten Hjorth-Jensen
    - - © Copyright 2021.
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    - - - - - \ No newline at end of file diff --git a/doc/LectureNotes/_build/html/schedule.html b/doc/LectureNotes/_build/html/schedule.html index fd2e28967..1646a3b8d 100644 --- a/doc/LectureNotes/_build/html/schedule.html +++ b/doc/LectureNotes/_build/html/schedule.html @@ -273,7 +273,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
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  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

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Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Exercises week 38","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","1. 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Linear Regression","14. Building a Feed Forward Neural Network","15. Solving Differential Equations with Deep Learning","16. Convolutional Neural Networks","17. Recurrent neural networks: Overarching view","4. Ridge and Lasso Regression","5. Resampling Methods","6. Logistic Regression","8. Support Vector Machines, overarching aims","9. Decision trees, overarching aims","10. Ensemble Methods: From a Single Tree to Many Trees and Extreme Boosting, Meet the Jungle of Methods","11. Basic ideas of the Principal Component Analysis (PCA)","13. Neural networks","7. Optimization, the central part of any Machine Learning algortithm","12. Clustering and Unsupervised Learning","Exercises week 34","Exercises week 35","Exercises week 36","Exercises week 37","Exercises week 38","Applied Data Analysis and Machine Learning","2. Linear Algebra, Handling of Arrays and more Python Features","Project 1 on Machine Learning, deadline October 7 (midnight), 2024","Teaching schedule with links to material","1. Elements of Probability Theory and Statistical Data Analysis","Teachers and Grading","Textbooks","Week 34: Introduction to the course, Logistics and Practicalities","Week 35: From Ordinary Linear Regression to Ridge and Lasso Regression","Week 36: Linear Regression and Statistical interpretations","Week 37: Statistical interpretations and Resampling Methods"],titleterms:{"1":[0,15,16,17,18,22,27,28],"2":[0,15,16,17,18,27,28,29],"2023":25,"2024":22,"26":28,"3":[0,15,16,27,28],"34":[15,27],"35":[16,28],"36":[17,29],"37":[18,30],"38":19,"4":[0,28],"5":0,"7":22,"9":30,"case":[8,10,24,28,29],"do":[1,29,30],"final":[12,28,29],"function":[0,1,6,7,8,10,11,12,13,22,24,27,28,29,30],"import":[5,21,27,28,29],"new":[4,29,30],A:[0,1,4,8,9,27,29,30],And:[27,28,29],For:28,In:25,Ising:6,The:[0,1,2,3,5,6,7,8,9,11,12,17,20,27,28,29,30],To:[27,28],With:[4,29],about:[27,28],abov:29,activ:[1,12,29],ad:[0,6,17,22,27,28],adaboost:10,adagrad:13,adam:13,adapt:10,adjust:1,adversari:4,again:[3,9],ai:[22,27],aim:[8,9,17,18,19,27],aka:[27,28],algebra:[21,27],algorithm:[9,10,11,12,28],algortithm:13,all:8,an:[0,4,10,27],analys:[5,28],analysi:[0,5,6,11,20,22,24,27,28,29,30],analyt:[0,16,17],ani:13,anoth:[9,29,30],appli:20,approach:[0,8,14,27,30],approxim:12,architectur:1,arrai:[21,27],assist:25,assumpt:[29,30],august:28,autocorrel:24,autograd:[2,13],automat:13,b:[17,22],back:[1,11,12],background:[20,22,30],bag:10,base:[13,30],basic:[0,5,7,9,10,11,21,28,29,30],batch:1,bay:[5,29,30],befor:11,beta:[29,30],better:8,bia:[6,22,30],binari:1,bind:27,bird:10,boldsymbol:[28,29,30],boost:10,bootstrap:[6,10,30],boston:0,breast:1,brief:[27,30],bring:12,build:[1,3,9],c:[22,27],calcul:28,can:[27,30],cancer:[1,7,9,11],cart:9,center:28,central:[13,20,24,30],chain:12,chang:10,channel:27,chi:[0,27],choos:1,cifar01:3,classic:11,classif:[1,9,10],classifi:8,clip:1,cluster:14,cnn:3,code:[0,1,2,5,9,11,12,13,14,27,28,29,30],collect:[1,3],commun:27,compar:[2,10],comparison:29,complet:28,complex:[0,6,22,28],complic:6,compon:11,comput:9,computation:30,computerlab:27,con:9,concept:24,condit:[29,30],confid:30,conjug:13,contn:27,convex:[8,13],convolut:[3,12],correctli:[29,30],correl:[11,28],cost:[1,10,28,29,30],cours:[20,26,27],covari:[5,11,24,28],cover:27,cross:[6,22,30],cython:27,d:22,data:[0,1,3,6,7,9,11,15,16,20,22,24,27,28,29],dataset:[1,3],deadlin:[22,27],decai:2,decis:[9,10],decomposit:[5,11,17,21,28],deep:[1,2,27],defin:[1,27],degre:[0,28],deliveri:22,delta:30,dens:[0,27],deriv:[5,12,28,29,30],descent:[2,10,13],descript:22,design:28,detail:[3,27],develop:1,diagon:11,differ:8,differenti:[2,13],diffus:2,dimension:[2,3,8,22,28],disadvantag:9,discret:24,distribut:[5,24,29,30],distrubut:30,doe:[28,29],domain:24,down:1,dropout:1,e:22,economi:28,electron:22,element:[0,24,27],elimin:21,energi:27,ensembl:10,entropi:9,environ:[0,15,27],equat:[0,2,12,27,28,29],error:[0,10,27,28,30],essenti:27,estim:[29,30],etc:27,euler:2,evalu:1,exampl:[0,1,2,3,4,6,7,8,9,10,27,28,29,30],exercis:[0,6,15,16,17,18,19,27,28],expect:[18,24,29,30],expens:30,experi:24,explor:[0,15,16,27],exponenti:2,express:[17,18,28],extrapol:4,extrem:[10,27],ey:10,f:22,fall:25,famili:[1,27,28],famou:21,fantast:28,featur:[9,21,28],feed:[1,12],find:30,fine:1,first:[4,12,27,28,29],fit:[0,10,27,29],fix:28,fold:30,forc:3,forest:10,format:[22,27],forward:[1,2,12],fourier:3,frank:[6,22,28],freedom:[0,28],frequent:28,frequentist:[0,27],from:[5,10,12,28,29,30],full:2,further:[3,5,28],g:22,gan:4,gaussian:21,gd:13,gener:[4,9,27],geometr:11,gini:9,good:[0,27],grade:[25,27],gradient:[1,2,10,13],growth:2,ha:20,handl:[21,27,28],happen:[29,30],hessian:28,hidden:2,histogram:30,hous:0,hyperparamet:1,hyperplan:8,i:1,id3:9,idea:11,ident:[29,30],identifi:30,ii:27,iid:[29,30],illustr:29,implement:1,implic:[5,28],improv:1,includ:13,increment:11,independ:[29,30],index:9,inform:25,input:2,instal:[20,22,27],instructor:25,intercept:28,interpret:[5,11,27,28,29,30],interv:30,introduc:[11,13,28],introduct:[0,6,20,21,22,27],invers:[5,21,29],invert:28,iter:10,its:28,jacobian:28,jax:13,julia:27,jungl:10,k:30,kera:[1,3],kernel:[8,11],lab:30,lagrangian:8,lasso:[5,6,22,28,29,30],last:28,later:[5,28],layer:[1,2,3,12],learn:[0,1,2,11,13,14,15,16,20,22,27,28,29,30],least:[5,6,18,22,27,28,29],lectur:[27,28,29,30],level:10,librari:[20,27],likelihood:[7,29,30],limit:[1,13,24,30],linear:[0,8,13,21,27,28,29],link:[5,11,23,26,28,29,30],literatur:22,logist:[7,27],loss:28,lu:21,machin:[0,8,13,20,22,27],made:[29,30],main:[24,27],make:[0,9,10,15,16,27,28],mani:[10,12],manipul:28,margin:[29,30],mass:27,materi:[22,23,27,28,29,30],math:[5,28],mathemat:[3,5,8,28],matric:[5,21,27,29],matrix:[1,5,11,12,21,27,28,29],matter:[0,27],max:28,maximum:[29,30],mean:[0,28,29],meet:[5,10,24,27,28],mercer:8,method:[6,9,10,13,22,27,30],midnight:22,min:28,minim:27,ml:27,mle:[29,30],mlp:12,mnist:[3,4],model:[0,1,4,6,12,27],momentum:13,mondai:[28,29,30],moon:[8,9],more:[3,6,21,22,27,28,29,30],multilay:12,multipl:[1,3],multipli:8,need:[22,27],network:[1,2,3,4,7,12,27],neural:[1,2,3,4,7,12,27],non:8,normal:[0,1,30],notat:12,note:[22,28,29],now:[1,9,13,29,30],nuclear:[0,27],numba:27,number:[0,2,24,28],numer:[2,22,24],numpi:[21,27],object:3,obtain:11,octob:22,od:2,off:[6,22],ol:[5,6,22,29,30],one:[2,12],oper:21,optim:[1,8,13,20,27,28],order:13,ordinari:[5,6,18,22,27,28,29],organ:[0,27],oslo:26,other:[4,9,11,12,21,22,27,28],our:[0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\ No newline at end of file diff --git a/doc/LectureNotes/_build/html/statistics.html b/doc/LectureNotes/_build/html/statistics.html index 8f297e3b8..268af36d6 100644 --- a/doc/LectureNotes/_build/html/statistics.html +++ b/doc/LectureNotes/_build/html/statistics.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -953,27 +980,37 @@ uncorrelated.

    -
    2.66617168469673
    -[[ 1.31901056  1.37040343  4.92740215  0.39706027  2.78890834  5.48780047
    -   5.56413916  3.99371466  6.81203214  3.34782766]
    - [ 1.37040343  1.42379872  5.11938949  0.41253101  2.89757312  5.70162272
    -   5.7809358   4.14932255  7.07745069  3.47826973]
    - [ 4.92740215  5.11938949 18.40720059  1.48329035 10.41847076 20.50066971
    -  20.78584667 14.91924234 25.44757627 12.50641483]
    - [ 0.39706027  0.41253101  1.48329035  0.11952661  0.83954195  1.65198643
    -   1.67496658  1.20222345  2.05061841  1.00779281]
    - [ 2.78890834  2.89757312 10.41847076  0.83954195  5.89685175 11.60337375
    -  11.76478383  8.4442873  14.40332158  7.07862755]
    - [ 5.48780047  5.70162272 20.50066971  1.65198643 11.60337375 22.83223115
    -  23.14984157 16.61602252 28.34175429 13.92878175]
    - [ 5.56413916  5.7809358  20.78584667  1.67496658 11.76478383 23.14984157
    -  23.47187014 16.84716164 28.73600557 14.1225397 ]
    - [ 3.99371466  4.14932255 14.91924234  1.20222345  8.4442873  16.61602252
    -  16.84716164 12.09221309 20.62554572 10.13658936]
    - [ 6.81203214  7.07745069 25.44757627  2.05061841 14.40332158 28.34175429
    -  28.73600557 20.62554572 35.18075088 17.28986131]
    - [ 3.34782766  3.47826973 12.50641483  1.00779281  7.07862755 13.92878175
    -  14.1225397  10.13658936 17.28986131  8.49724059]]
    +
    3.1732863504708044
    +[[8.55460327e+00 4.59630232e+00 7.71507714e+00 3.56832496e-01
    +  1.62620041e+01 3.84661230e+00 8.38865681e+00 1.18285689e+01
    +  1.78876155e+01 4.77352152e+00]
    + [4.59630232e+00 2.46954702e+00 4.14523337e+00 1.91722512e-01
    +  8.73741131e+00 2.06674611e+00 4.50714096e+00 6.35537114e+00
    +  9.61083596e+00 2.56476512e+00]
    + [7.71507714e+00 4.14523337e+00 6.95793988e+00 3.21813899e-01
    +  1.46660941e+01 3.46911594e+00 7.56541622e+00 1.06677444e+01
    +  1.61321722e+01 4.30506075e+00]
    + [3.56832496e-01 1.91722512e-01 3.21813899e-01 1.48843174e-02
    +  6.78326199e-01 1.60451189e-01 3.49910481e-01 4.93397254e-01
    +  7.46134248e-01 1.99114739e-01]
    + [1.62620041e+01 8.73741131e+00 1.46660941e+01 6.78326199e-01
    +  3.09135059e+01 7.31227657e+00 1.59465457e+01 2.24856992e+01
    +  3.40037367e+01 9.07429886e+00]
    + [3.84661230e+00 2.06674611e+00 3.46911594e+00 1.60451189e-01
    +  7.31227657e+00 1.72964493e+00 3.77199379e+00 5.31876431e+00
    +  8.04323936e+00 2.14643345e+00]
    + [8.38865681e+00 4.50714096e+00 7.56541622e+00 3.49910481e-01
    +  1.59465457e+01 3.77199379e+00 8.22592946e+00 1.15991124e+01
    +  1.75406226e+01 4.68092237e+00]
    + [1.18285689e+01 6.35537114e+00 1.06677444e+01 4.93397254e-01
    +  2.24856992e+01 5.31876431e+00 1.15991124e+01 1.63555267e+01
    +  2.47334547e+01 6.60041459e+00]
    + [1.78876155e+01 9.61083596e+00 1.61321722e+01 7.46134248e-01
    +  3.40037367e+01 8.04323936e+00 1.75406226e+01 2.47334547e+01
    +  3.74028787e+01 9.98140006e+00]
    + [4.77352152e+00 2.56476512e+00 4.30506075e+00 1.99114739e-01
    +  9.07429886e+00 2.14643345e+00 4.68092237e+00 6.60041459e+00
    +  9.98140006e+00 2.66365453e+00]]
     
    @@ -1241,15 +1278,15 @@ more practically oriented methods like the blocking technique.

    -
    -0.04944931918420588
    -3.9197998358799464
    --0.7106484566285455
    -0.9059370566788297 9.700258285068488 9.7423220054006
    -2.7796611648499043 2.2456969087678473 7.0827744231113545
    -[[0.90593706 2.77966116 2.24569691]
    - [2.77966116 9.70025829 7.08277442]
    - [2.24569691 7.08277442 9.74232201]]
    -[17.56239321  0.09298511  2.69313903]
    +
    -0.03872795610436844
    +3.8505072899794293
    +0.03015288036252618
    +0.8896094720230128 9.323184775146844 7.56423957069263
    +2.7487814387207385 2.000626681519836 6.325228546249804
    +[[0.88960947 2.74878144 2.00062668]
    + [2.74878144 9.32318478 6.32522855]
    + [2.00062668 6.32522855 7.56423957]]
    +[15.60940356  0.06849372  2.09913654]
     
    @@ -1579,7 +1616,7 @@ assumption for approximating \(\sigma
    -
    0.031696741936652305 0.9106590586410548
    +
    0.011156605304609659 0.9767506308987675
     
    _images/statistics_188_1.png diff --git a/doc/LectureNotes/_build/html/teachers.html b/doc/LectureNotes/_build/html/teachers.html index fae734e98..4dd04be53 100644 --- a/doc/LectureNotes/_build/html/teachers.html +++ b/doc/LectureNotes/_build/html/teachers.html @@ -273,7 +273,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/textbooks.html b/doc/LectureNotes/_build/html/textbooks.html index 06b738338..75521d447 100644 --- a/doc/LectureNotes/_build/html/textbooks.html +++ b/doc/LectureNotes/_build/html/textbooks.html @@ -273,7 +273,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + diff --git a/doc/LectureNotes/_build/html/week34.html b/doc/LectureNotes/_build/html/week34.html index f3021f870..384285098 100644 --- a/doc/LectureNotes/_build/html/week34.html +++ b/doc/LectureNotes/_build/html/week34.html @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -1641,8 +1668,8 @@ developed in the 1970s, namely EISPACK and LINPACK. We describe them shortly he
    -
    [ 1.55217048  0.41383693  0.79189954  2.5545673  -1.22668089 -0.00445922
    - -1.2662882  -0.64605756  0.5972962  -0.22398902]
    +
    [ 0.27600259 -1.0831367  -2.92599642 -0.36091273 -0.39398622 -1.03979291
    +  0.93237862  1.4635149   0.01552874  0.4761747 ]
     
    @@ -1867,26 +1894,26 @@ lowercase letters for vectors and uppercase letters for matrices)

    -
    [[0.35514368 0.73972932 0.76212914 0.13867518 0.13118774 0.68772578
    -  0.99509854 0.72532661 0.31471398 0.74840039]
    - [0.50470576 0.98650215 0.40892859 0.45312744 0.73435999 0.02180258
    -  0.09650726 0.01846688 0.55640817 0.42742185]
    - [0.66865889 0.38157698 0.90914803 0.6377013  0.57169969 0.62958747
    -  0.0334336  0.31566127 0.85013763 0.15807529]
    - [0.47647836 0.36417623 0.63023737 0.23117504 0.3199881  0.61810248
    -  0.46659511 0.34693879 0.60314816 0.56963365]
    - [0.89800468 0.93792515 0.21378153 0.81700981 0.79689487 0.11967653
    -  0.86528841 0.27518808 0.92397145 0.35768161]
    - [0.89906633 0.80291466 0.94897736 0.41237041 0.13858317 0.80006807
    -  0.04373024 0.32186558 0.8492168  0.49905638]
    - [0.09900923 0.98650823 0.62528192 0.64961094 0.00987022 0.57652181
    -  0.93176482 0.84388592 0.58384652 0.35577273]
    - [0.01312254 0.0494262  0.93742122 0.45937581 0.76428845 0.09004029
    -  0.25529356 0.51566561 0.75079864 0.41790782]
    - [0.44049151 0.89794988 0.98368659 0.7458376  0.13633112 0.81194394
    -  0.54213195 0.36985812 0.30873019 0.0538391 ]
    - [0.58310989 0.51631859 0.78546777 0.17576105 0.11368985 0.01384313
    -  0.1949983  0.55960462 0.01496065 0.63588621]]
    +
    [[0.89184351 0.97435908 0.73122034 0.58084123 0.86891741 0.74957448
    +  0.65593984 0.06020264 0.48306473 0.47729832]
    + [0.86445334 0.75532041 0.31162122 0.57261202 0.2257449  0.31160886
    +  0.68591105 0.01084359 0.57192197 0.83466807]
    + [0.39525059 0.32684035 0.91648657 0.34904819 0.47052809 0.7029975
    +  0.0057065  0.1074792  0.6389681  0.16567361]
    + [0.46984559 0.3241988  0.77559615 0.16431956 0.92604454 0.08624193
    +  0.17567503 0.96919836 0.00859693 0.39692815]
    + [0.26817703 0.49224801 0.05240397 0.14260706 0.91365263 0.2876045
    +  0.38381781 0.23526911 0.28109198 0.01024875]
    + [0.47892661 0.88377332 0.51858116 0.02345858 0.52087499 0.63309898
    +  0.589841   0.19433318 0.24071032 0.76262775]
    + [0.67464946 0.69903406 0.44838546 0.72952595 0.41987877 0.0907958
    +  0.21998973 0.54856099 0.54725976 0.29390668]
    + [0.75600095 0.3882273  0.13024288 0.19677112 0.6401576  0.34599598
    +  0.62351789 0.49211524 0.6267112  0.82121282]
    + [0.77959897 0.35714377 0.08946029 0.70039784 0.60418171 0.618746
    +  0.46107913 0.41636775 0.94625725 0.85079059]
    + [0.0525733  0.16201555 0.18147009 0.41408221 0.15173932 0.88501323
    +  0.01376216 0.8030191  0.61192203 0.64399916]]
     
    @@ -1941,13 +1968,13 @@ covariance matrix through the np.linalg.eig() function.

    -
    -0.014891664497538563
    -3.926564304542535
    --0.09715081560068299
    -[[ 1.04876305  3.19688765  3.16855533]
    - [ 3.19688765 10.60958647  9.74474996]
    - [ 3.16855533  9.74474996 15.34369306]]
    -[23.87923449  0.07172103  3.05108705]
    +
    0.028638258927275215
    +4.036527092051294
    +0.19009085621304586
    +[[ 1.07405556  3.2781456   2.97935648]
    + [ 3.2781456  11.21805426  9.35966688]
    + [ 2.97935648  9.35966688 14.77152924]]
    +[23.38440469  0.10036694  3.57886743]
     
    @@ -2172,7 +2199,7 @@ Name: Aragorn, dtype: object
    ---------------------------------------------------------------------------
     AttributeError                            Traceback (most recent call last)
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_49291/1326197715.py in ?()
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1539/1326197715.py in ?()
     ----> 6 new_hobbit = {'First Name': ["Peregrin"],
           7               'Last Name': ["Took"],
           8               'Place of birth': ["Shire"],
    diff --git a/doc/LectureNotes/_build/html/week35.html b/doc/LectureNotes/_build/html/week35.html
    index 58045705d..47e881dfc 100644
    --- a/doc/LectureNotes/_build/html/week35.html
    +++ b/doc/LectureNotes/_build/html/week35.html
    @@ -275,7 +275,34 @@ const thebe_selector_output = ".output, .cell_output"
      
      
  • - Week 36: Linear Rgeression and Statistical interpretations + Week 36: Linear Regression and Statistical interpretations + +
  • +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • + +

    + + Projects + +

    + @@ -1609,7 +1636,7 @@ Since we are not using Scikit-Learn here we can define our own
    -
    0.9964486445275116
    +
    0.9952537939995855
     
    @@ -1626,7 +1653,7 @@ Since we are not using Scikit-Learn here we can define our own
    -
    0.008831941890485846
    +
    0.011208613520466846
     
    @@ -1641,31 +1668,23 @@ Since we are not using Scikit-Learn here we can define our own
    -
    [3.06442194e-02 4.73537890e-02 3.17755779e-02 1.51383260e-02
    - 7.46749552e-02 6.37409975e-02 2.52554699e-02 4.98279090e-03
    - 6.51178631e-02 7.74647981e-03 5.41761415e-03 2.97108525e-02
    - 2.82566059e-02 2.35389684e-02 3.74830119e-02 1.60010693e-02
    - 5.42765083e-02 1.15330788e-02 2.16632351e-02 1.46124943e-02
    - 1.00902152e-02 2.58102999e-02 2.39990572e-02 1.04321941e-02
    - 3.32351459e-02 5.63376422e-03 1.37416502e-02 1.21733307e-02
    - 4.91402008e-03 2.73185968e-02 3.94556653e-02 1.74222022e-03
    - 8.61562855e-03 2.13179053e-02 3.29487549e-02 5.99021575e-03
    - 4.74063343e-03 1.32791346e-02 9.56466087e-03 3.74303070e-03
    - 2.74070824e-02 5.52656770e-03 1.95782166e-02 4.32740721e-02
    - 5.08750220e-02 1.46260797e-02 2.78058232e-02 6.72219105e-03
    - 9.68078357e-03 3.62788541e-02 5.12122786e-03 2.09047191e-02
    - 5.08323973e-02 4.05073207e-02 3.21117128e-02 4.76187240e-04
    - 8.71538320e-03 1.54428380e-03 3.46608732e-02 7.51681181e-03
    - 9.49622615e-03 7.23177156e-05 2.76887029e-02 3.93356853e-02
    - 3.23505507e-02 1.98625331e-02 8.86557766e-03 2.82168579e-03
    - 5.88253432e-02 1.67851352e-02 4.99217800e-02 1.89971681e-03
    - 6.65367685e-02 3.13641587e-03 8.97992238e-04 3.55757089e-02
    - 4.72545392e-02 1.95980855e-02 1.51198558e-02 3.43246775e-03
    - 5.17748443e-02 1.65904730e-02 3.62201698e-03 1.20488808e-02
    - 6.72793290e-02 1.72664028e-02 5.25325161e-03 7.70435575e-03
    - 4.60004008e-02 2.60656897e-04 1.69087404e-02 1.01813007e-02
    - 3.73223692e-02 1.89954169e-02 3.30764357e-02 6.71384474e-02
    - 1.58314173e-02 2.04242885e-02 4.47734350e-02 5.36097931e-02]
    +
    [0.05040878 0.02601643 0.01922269 0.05006037 0.02572685 0.10595991
    + 0.04487298 0.00334047 0.00330046 0.00606382 0.02500488 0.03247316
    + 0.01897462 0.0241039  0.0606958  0.00472276 0.01756114 0.06536971
    + 0.02809972 0.04955942 0.00956827 0.00667611 0.02576358 0.04216532
    + 0.04808723 0.01625794 0.00282226 0.00220013 0.00017733 0.0211429
    + 0.02207054 0.02156196 0.0694226  0.01119738 0.0041148  0.01783096
    + 0.0062202  0.03317599 0.02032056 0.00798909 0.06901081 0.01353638
    + 0.01863203 0.01179128 0.01178857 0.00634299 0.01793261 0.00018053
    + 0.13055762 0.02441422 0.05029018 0.0253208  0.01979808 0.02693015
    + 0.05336637 0.01373484 0.09291806 0.00168745 0.04588592 0.01013849
    + 0.04018985 0.03887801 0.03033791 0.01811279 0.02540212 0.02980537
    + 0.02784266 0.03158013 0.01060492 0.01620955 0.00942574 0.0043587
    + 0.02651857 0.00053001 0.0337609  0.01131771 0.00023813 0.02091662
    + 0.01315875 0.00434043 0.04161572 0.05045    0.0121289  0.01532738
    + 0.02334754 0.01206221 0.00930146 0.03244944 0.00702721 0.02576685
    + 0.05224117 0.0262517  0.02946852 0.09604976 0.01406777 0.02183817
    + 0.0164974  0.02322594 0.04238763 0.00647029]
     
    @@ -1734,15 +1753,15 @@ but now splitting the data into a training set and a test set.

    -
    [ 2.06926365 -1.13588335 10.35444257 -8.67801834  4.51542953]
    +
    [ 1.82079885  2.45560415 -4.73595198 14.38102552 -7.04838148]
     Training R2
    -0.9951502749739212
    +0.9952183728736417
     Training MSE
    -0.011265488125148788
    +0.009338082195270294
     Test R2
    -0.9923539830272697
    +0.9969461173312454
     Test MSE
    -0.009522910538005715
    +0.008043811612683473
     
    diff --git a/doc/LectureNotes/_build/html/week36.html b/doc/LectureNotes/_build/html/week36.html index a5b737804..32c45e395 100644 --- a/doc/LectureNotes/_build/html/week36.html +++ b/doc/LectureNotes/_build/html/week36.html @@ -55,7 +55,7 @@ const thebe_selector_output = ".output, .cell_output" - + @@ -278,6 +278,21 @@ const thebe_selector_output = ".output, .cell_output" Week 36: Linear Regression and Statistical interpretations +
  • + + Exercises week 37 + +
  • +
  • + + Week 37: Statistical interpretations and Resampling Methods + +
  • +
  • + + Exercises week 38 + +
  • @@ -2917,10 +2932,10 @@ C(\boldsymbol{\beta})=(4-2\beta_0)^2+(2-\beta_1)^2+\lambda(\vert\beta_0\vert+\ve

    Exercises week 36

    - +

    next

    -

    Project 1 on Machine Learning, deadline October 7 (midnight), 2024

    +

    Exercises week 37

    diff --git a/doc/LectureNotes/_build/html/week37.html b/doc/LectureNotes/_build/html/week37.html index b00d26a28..98bd859b9 100644 --- a/doc/LectureNotes/_build/html/week37.html +++ b/doc/LectureNotes/_build/html/week37.html @@ -1624,7 +1624,7 @@ theorem.

    Bootstrap Statistics :
     original           bias      std. error
    - 99.7217  14.8193        99.7194        0.147557
    + 100.211  14.8834        100.212        0.149388
     
    @@ -1849,9 +1849,7 @@ Error: 0.10398646080125035 Bias^2: 0.1007711427354898 Var: 0.0032153180657605116 0.10398646080125035 >= 0.1007711427354898 + 0.0032153180657605116 = 0.10398646080125032 -
    -
    -
    Polynomial degree: 3
    +Polynomial degree: 3
     Error: 0.06547790180152355
     Bias^2: 0.06208238634231949
     Var: 0.0033955154592040936
    @@ -1868,7 +1866,9 @@ Error: 0.05227921801205686
     Bias^2: 0.0481872773043029
     Var: 0.004091940707753939
     0.05227921801205686 >= 0.0481872773043029 + 0.004091940707753939 = 0.052279218012056844
    -Polynomial degree: 6
    +
    +
    +
    Polynomial degree: 6
     Error: 0.037813671417389005
     Bias^2: 0.033657685071527665
     Var: 0.00415598634586135
    @@ -1890,10 +1890,7 @@ Var: 0.016587414993043573
     0.02660572763718093 >= 0.010018312644137363 + 0.016587414993043573 = 0.026605727637180936
     
    -
    Polynomial degree:
    -
    -
    -
     10
    +
    Polynomial degree: 10
     Error: 0.021592704588025025
     Bias^2: 0.010516485576645508
     Var: 0.011076219011379514
    @@ -1915,7 +1912,7 @@ Var: 0.20867052175034223
     0.22842468702219465 >= 0.01975416527185249 + 0.20867052175034223 = 0.2284246870221947
     
    -_images/week37_139_5.png +_images/week37_139_4.png
    @@ -2346,9 +2343,9 @@ Mean squared error on training data: 0.00063866 Mean squared error on test data: 3099.60342978
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_405/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1579/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
       plt.plot(polynomial, np.log10(trainingerror), label='Training Error')
    -/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_405/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
    +/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1579/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
       plt.plot(polynomial, np.log10(testerror), label='Test Error')
     
    @@ -2433,7 +2430,7 @@ Mean squared error on test data: 3099.60342978
    -
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_405/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
    +
    /var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1579/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
       plt.plot(polynomial, np.log10(estimated_mse_sklearn), label='Test Error')
     
    diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter1.ipynb b/doc/LectureNotes/_build/jupyter_execute/chapter1.ipynb index 770421088..f2ca50cc0 100644 --- a/doc/LectureNotes/_build/jupyter_execute/chapter1.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/chapter1.ipynb @@ -343,7 +343,7 @@ "outputs": [ { "data": { - "image/png": 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", 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    " ] @@ -515,7 +515,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", 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    " ] @@ -583,18 +583,18 @@ "output_type": "stream", "text": [ "The intercept alpha: \n", - " [2.01173838]\n", + " [2.00955125]\n", "Coefficient beta : \n", - " [[4.76160572]]\n", - "Mean squared error: 0.33\n", - "Variance score: 0.86\n", + " [[4.94419718]]\n", + "Mean squared error: 0.31\n", + "Variance score: 0.87\n", "Mean squared log error: 0.01\n", - "Mean absolute error: 0.45\n" + "Mean absolute error: 0.43\n" ] }, { "data": { - "image/png": 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", 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", 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    " ] @@ -822,7 +822,7 @@ "outputs": [ { "data": { - "image/png": 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", + "image/png": 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", "text/plain": [ "
    " ] @@ -838,7 +838,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.004999999999999991\n" + "0.005000000000000001\n" ] } ], diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter10.ipynb b/doc/LectureNotes/_build/jupyter_execute/chapter10.ipynb index 9724b3fbd..7b950da52 100644 --- a/doc/LectureNotes/_build/jupyter_execute/chapter10.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/chapter10.ipynb @@ -1077,7 +1077,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n" ] }, @@ -1655,7 +1655,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n" ] }, @@ -1673,7 +1673,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n" ] }, @@ -1691,7 +1691,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n" ] }, @@ -1709,7 +1709,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n" ] }, @@ -1727,7 +1727,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n" ] }, @@ -1745,7 +1745,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n" ] }, @@ -1763,7 +1763,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n" ] }, @@ -1781,11 +1781,11 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" ] }, @@ -1803,11 +1803,11 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" ] }, @@ -1825,11 +1825,11 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" ] }, @@ -1847,11 +1847,11 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" ] }, @@ -1869,11 +1869,11 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" ] }, @@ -1891,7 +1891,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n" ] }, @@ -1909,11 +1909,11 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" ] }, @@ -1931,11 +1931,11 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" ] }, @@ -1953,132 +1953,25 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1323/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" ] }, { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 10.0\n", - "Lambda = 0.0001\n", - "Accuracy score on test set: 0.07777777777777778\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", - " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", - " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 10.0\n", - "Lambda = 0.001\n", - "Accuracy score on test set: 0.07777777777777778\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", - " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", - " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 10.0\n", - "Lambda = 0.01\n", - "Accuracy score on test set: 0.07777777777777778\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", - " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", - " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 10.0\n", - "Lambda = 0.1\n", - "Accuracy score on test set: 0.07777777777777778\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", - " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", - " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 10.0\n", - "Lambda = 1.0\n", - "Accuracy score on test set: 0.07777777777777778\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:43: RuntimeWarning: overflow encountered in exp\n", - " exp_term = np.exp(self.z_o)\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide\n", - " self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 10.0\n", - "Lambda = 10.0\n", - "Accuracy score on test set: 0.07777777777777778\n", - "\n" + "ename": "KeyboardInterrupt", + "evalue": "", + "output_type": "error", + "traceback": [ + "\u001b[0;31m---------------------------------------------------------------------------\u001b[0m", + "\u001b[0;31mKeyboardInterrupt\u001b[0m Traceback (most recent call last)", + "Cell \u001b[0;32mIn[8], line 11\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m j, lmbd \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28menumerate\u001b[39m(lmbd_vals):\n\u001b[1;32m 9\u001b[0m dnn \u001b[38;5;241m=\u001b[39m NeuralNetwork(X_train, Y_train_onehot, eta\u001b[38;5;241m=\u001b[39meta, lmbd\u001b[38;5;241m=\u001b[39mlmbd, epochs\u001b[38;5;241m=\u001b[39mepochs, batch_size\u001b[38;5;241m=\u001b[39mbatch_size,\n\u001b[1;32m 10\u001b[0m n_hidden_neurons\u001b[38;5;241m=\u001b[39mn_hidden_neurons, n_categories\u001b[38;5;241m=\u001b[39mn_categories)\n\u001b[0;32m---> 11\u001b[0m \u001b[43mdnn\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mtrain\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 13\u001b[0m DNN_numpy[i][j] \u001b[38;5;241m=\u001b[39m dnn\n\u001b[1;32m 15\u001b[0m test_predict \u001b[38;5;241m=\u001b[39m dnn\u001b[38;5;241m.\u001b[39mpredict(X_test)\n", + "Cell \u001b[0;32mIn[6], line 99\u001b[0m, in \u001b[0;36mNeuralNetwork.train\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 96\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mY_data \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mY_data_full[chosen_datapoints]\n\u001b[1;32m 98\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mfeed_forward()\n\u001b[0;32m---> 99\u001b[0m \u001b[38;5;28;43mself\u001b[39;49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mbackpropagation\u001b[49m\u001b[43m(\u001b[49m\u001b[43m)\u001b[49m\n", + "Cell \u001b[0;32mIn[6], line 64\u001b[0m, in \u001b[0;36mNeuralNetwork.backpropagation\u001b[0;34m(self)\u001b[0m\n\u001b[1;32m 61\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39moutput_weights_gradient \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mmatmul(\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39ma_h\u001b[38;5;241m.\u001b[39mT, error_output)\n\u001b[1;32m 62\u001b[0m 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\u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mlmbd \u001b[38;5;241m>\u001b[39m \u001b[38;5;241m0.0\u001b[39m:\n", + "\u001b[0;31mKeyboardInterrupt\u001b[0m: " ] } ], @@ -2123,52 +2016,7 @@ "collapsed": false, "editable": true }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_48918/953065564.py:4: RuntimeWarning: overflow encountered in exp\n", - " return 1/(1 + np.exp(-x))\n" - ] - }, - { - "data": { - "image/png": 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7xKc/6fNZ3xnat37TGpq2dKj6hL6mlIPHcz336cbx8qvsm2efx299WSdK2jFu10BPRoSpVkBlnTpxRitiNujzeWsM7Vs/qJqmffa0+twzVSl/ncz1XJuOjRT+1J2qUfcfOnE0Tau//FWfz1ujC5lZ1+G3KLpuvb2hnhx6t2rVr6JTx89oxWc/6/M5/zG0b/3G1TVt4WD1uWuSUg6dyPVcjXqV1Oe5zmrWKkAXMrO0PW6v5k38SocPHC/g1UqWkDb11WPgxc+/s/p60UbFfLC2wO1Ll/bQI0/cprD7glWpSgUdSU7Vf77ZqpgP1unChZJ1zl6NoroKVseOHS/7/OrVq/MdP3z4sKTsJOJ/Va5cWUlJSXm2r1Spko4cOaKsrCx5eHhIktLS0nTq1CkdO3Ysz/YFIQExQaOWAXrl02f0w5I4ffT6UjVp1UA9RneRrZRN0W+tuOy+dRvX0PjoCJUuk/c/VfsHb9VLHzylrz9Yo49eX6qKlXz1xAsPatKyEXqmw6vKTL9wvX6lIiWoWQ29MjVca2K366M536txcC31fPpOlbLZ9FkBb8JPDe+ksM7B+jTyB+2K/0v1G1bVE/1DVdn/Bk2b8GWubcv7eumVqeHyr3aDCb9N0dSoRT29Mn+Qfli6UR+9vkxNWtVXj5e6yFaqlKKnGTiHFwxW6TIeeZ5r/8CteilqgL7+cI0+en1Z9jn8/AOatGS4nuk4ocScw41uraOxkX31w/Jf9fHkFWrcop56jLxXpWw2Rc/MWwL/X3UbVdO4D/rne3xv+IeP/Cr76r1xS5SweV+u51JPnHHlr1DkNbq5lsbOekI/rNymj6fHqvEtddTj2TCVKmVT9Hv/d9l96zb017g5PfI9xs3b1Nfod7rph5Xb9MFb36rOTVXUc8g/VaFiOb372lfX6bcpeho1r62xc3rqhxVb9PG0b9X41jrqMaxT9jn87veX3bduYFWNe79Pvsf3H1UraGrMIB3ce0SThi6Q3auMegy9W6992E9P3ztVGSXkPaIgQc1q6pVp4Vqzaoc+mv29Gt9cSz0H/v35F/VDvvs8NaKTwu67WZ++v0a7dhxS/cBqemLAHdmff68uM/k3gNUuXjxut9tzjXt6eurUqVN5tu/cubPmzJmj119/XcOGDVNWVpbGjRsnm82W7zUjBSEBMUH3Uffrz20HNPnpKEnSptU75FHGQ/9+9h4tnh2rjPOZefYpXcZDD/S/U0++8GC+z0vS4yPu04ZVWzVj+PycsQO7D2v66pfU6u5mWvfl5uvzCxUx3fqG6s9dhzV57FJJ0saf96h0aQ/9u0dbLVrwc54PqPK+Xur8cIgiZ3ynhfN/kiT9FrdXktTv2TBFzfxOp06elSS1ub2hnh7RSd7euf/HLGm6j7xff24/oMkD/z6Hv794DnfS4ncvcw73u1NPPv+gMs7n/6b0+PDO2hC7TTNGfJozduCPJE2PfUmt/tlM674qIefwkE76M/6QpgzJPg6b1iSodBkP/WtgRy2e93/KSC/g+PZsrydG3Fvge0RA4xqSpJ++2ZrnW+WSptvAO/Xn70ma8vwXkqRN63ardOlS+lffUC3+cF2+f8iWLuOhB7q10ROD7yrwD92wh27VkaRTmvzc53I4nPr15z90g5+PHurRVnMnfa2sfCqq7qhbRJj+/P0vTRkRLUna9MNOlS7toX8N6KDFUT8UfHyfbKsnhtxd4Dn8RMQ/de5Mul58cq7S/94m+cBxjX2vpxo0rakdG/dev1+qGOjW/w79ufOwJo9ZLEna+PMf2Z9/Pdtp0ac/5fP5563Oj4Qocvp3WvjJj5L+5/NvyD8VNSM25/MPxUtBFY4r8fLykpR9LcjFf0tSenq6vL2982xfu3ZtzZgxQ2PGjNGnn34qLy8vPfHEE2rSpIl8fHwMz8s1INdZGXtpNW17k35cnvsPqXVfblLZ8l5q0qZBvvu1CGuqbqPuV/RbKxQ1blGe5202mzb/X7xWfJT7G46DfyRLkqrWqeyi36BoK1PGQ81uraN1//k91/ja7+NVtpynmtxcK88+ZX289PXijfpl7c5c44f2Z5cO/atXlCSV8/HUy2/+W1s37dOLEfPzvE5J8d9z+Ndc4+u+2qSyPl5q0rqAc/iupuo28j5FT1uhqPGL8zxvs9m0eU28Vnx86TmcIkmqWqeSi36Doq2M3UPNWtfXj99szTW+7uvfso9vy3r57teiQ5C6DemkmBmxipqY/zft9RpX1+lTZ0t88lGmjIeataynH7/bkWt83art2e8Tt9bJd78Wt9+kbgPvVMzc/1PU1PzbDcvYPXT+XIYc/7MMTerJMypjLy3vcp4u+x2KsjJ2DzVrFaAfV23PNb7um63Z53CLAs7h0EB1GxymmNmrFTU5/0rqbXc31bdfxOUkH5K0e/tBdW87ocQnHwV+/q3ekX1eN6+dZ5+yPp76etFG/fJDQq7xQ/uPSpL8a1S8fgG7iSzZiuTjal1svUpJSck1npKSIn9//3z3CQ0N1Zo1a7R27Vr98ssvGj58uA4cOKA6deoYnpcE5Drzr/MP2T3L6NCe5Fzjf/2Z/R+6ekCVfPfb9es+9Qh+XtFvrcj3GzSn06l5L3+hX1bmvh6h7f3NJUmJvx9yRfhFnn/1irLbS+ckDxf99XdvcI1aN+bZJ/mvk5o5aYUOJl5yLUKHQGVmZuW8Vvr5TPV/dLamjFum1BL8jZB/7YLO4SOSrnAON39B0dNWKCufvmKn06l5YxbmPYfv+/scTvjLFeEXef61/qEynqV16O/jedFfidl/EFSvl38itmvLfvW4bbyiZ8YW+C17QFB1pZ06q9Hv9dLC7RO1+PdJen7mk6qYzzUh7sy/pp/K2Evr0L5L3if+/n+9ep1/5Lvfrm2H1CNssqLf+z9lZeV/jL9a8Iuq1b5Rj/Rur3LlvRTYrKa6PNFWG9YkKO1U4dbFL678a96YfXz3XnoO/3186xZ0fA+oR+jrin73+3zP4So1KsrH11vJh45r4CsPKSbuFS3b8bpemdtLlare4PLfo7jJ+fxLLOTn3xtf5/38uzNImZkX8rwW3F9gYKB8fHy0fv36nLHU1FTFx8crJCQkz/abNm1S9+7dlZGRoUqVKsnLy0sbNmzQiRMndNtttxme1/IWrAsXLmjVqlXauHGj/vrrL2VkZMjb21v+/v4KCQlRWFiYSpe2PMyr5lOhrCTp7OnzucbPpmX/XLZ83vKWJB1LOlnouarVq6y+47pq92+Jivtu+5V3cAM+5bPLhWfPpOcaP3s2++eyBr+BbNehkTreG6yl0euV9vd/qwsXHHnepEuiK5/DXnn2kaRjh08Weq5q9Sqr7ytdtXtLyTmHy/lmvwdcPJ4XnU37+xz2KeD4Juftzb1UvaDq+of/Dfrms1+0JHKNatWvou7D7tGbnz+jZ+6ZovRzxvt1i7NyOe8TlxzjM9m/f1mf/N8njqWkXvG1t274Uwsj16rviHvUd8Q9kqQ/4g9p0siYawm5WPnvOXzJ+/CZK53Dlz++Ffyy2zl6j7xXO7ce0KShC1ThRh/1GnGPJn36lJ7uPFXp5/Jv3SoJCv78+/u8Nvr5d2cjdby3mZZ+9t/PP5Qcdrtd3bt315QpU+Tn56fq1atr8uTJ8vf3V1hYmLKysnT8+HGVL19eXl5eCggI0O7du/X666+rT58+OnDggEaNGqXHHntMNWvWNDyvpX/Z79+/X/369VNycrKCgoJUuXJlVahQQenp6fr999+1aNEizZgxQ++//76qVatmZahXzVYquyzmdOZ/lxinwzX9wTVv8tfri4cpM/2CJvScU+B87sZmu3h883/eYeA4tLuzkZ579WFt27xPUTONrTpUklz5HHbNuVazgb9eXzRUmRmZmtCr5JzDpf4+vgWdxEbO4YK8NeIzZaZnas+O7Irojg1/KnHXYU1d/KzueqSFvp7/41W/dnHy32Oc//OOaziHB7/SRWEP3aIF736v337ZI/8aFdX9mbs0YW4vvdA7MlfrkLsqZbvCOXyVx7fM3xelnzyWpgkDP855T0hKPKppCwfrzgdv1croX67qtd3Bld6bDX3+dQzScxMe0bbNiYqacfkFL5DN4Syaq2Bdi4iICF24cEGjR4/W+fPn1aJFC0VGRsput+vgwYPq2LGjJk6cqIcfflg33HCD5s6dq4kTJ+r+++9XxYoV9dhjj+npp58u1JyWJiDjxo1TjRo1tHDhQpUvXz7P86mpqRo6dKjGjx+vOXPmWBDhtTvzdwn+0krHxW+EzqRee4m+WbuGevnjp3Uu7bxeeHiakv/u5SwJzlz8Fv6Sb3rKls3++dJv5C718OOt1TciTFs379Mrw6OVWcKWzTTizKns9rNLKx055/BpF53DHz6lc2npeqHrNCXvLzmVp7S/3wMu/Zb44rfyZ1Ov/hvJS1e+kqT4jXuVduqc6gYVzy91rsbFb3XzvE+Uy15c4uzpy79PFOTGyr7q1DVEMXPX6JMZ2V9ebIvbq13bDmnOl8/qnw/fqq8WuP8fyGmnCziH/z7el1ZPjbr4zX7cmoRcf2Qn/LZfp0+dVUCjknMO5+fMxfPa59LPv7/P6yt9/nVro77P/lNbN+3TK8M+4/OvBPPw8NDIkSM1cuTIPM/VqFFDO3fmvmY2ODhY0dHR1zSnpQnIpk2bFBMTk2/yIWXfCGXkyJHq1q2byZG5zl97U5R1IUvVLunjrlYv+yLx/TvzrrFcGHc80lLDZ/XSoT3JGv2vd3T0r5J1selfB48r64JD1Wr45RqvVjP758RLepL/18AR9+jBR1tqTex2TR67lDffAvy178jf53DuhQ0untMuOYdn9Mw+h//9jo5eRfthcZaUeFRZF7JU9ZLrEKrVzv55/+7DV/W65Xy91bZTMyX8uk/7d+e+fqe03UOpx0vOMrxJ+49nH+PauXviq/3dI79/T0p+u11RpaoVVKpUKcX/mphrPPGPZJ06cUa16+d/fZS7SUo8lv/x/fvn/X8k57fblV93/zFlZTlUxp73T5XSpT2Uns/qcCXJXwdPZL8317jkuF/8/Puz4PN64Mh79eBjrbRm1XZNHrOYzz+YztKL0H19ffNcdX+pv/76K9eyYMVNZvoFbftpt9red0uu8XYP3KrTJ89o5+arX8WjxV1NNPLd3vp9wx4N6zSpxCUfkpSZkaVtvyaqbYfAXOPt7wzS6dRz2rkj/4vxew3qqAcfbalFn/6s119cxJvvZWSmX9C2n3erbefmucbb3e+ic3hWL/0et0fD7n2zxCUf0t/Hd/0ete0UnGu8XeebdfrUWe38bf9Vve6FjAsaNKGr/jXwrlzjbf7ZVF7edm395Y+rjrm4ycy4oG0b96ntXY1zjbf7ZxOdPnVOO7cduKrXvZjYNL5kFa3qdf6hChXL6fDBknGjvMyMC9oWt1dt726aa7xdp2bZ5/CWqzuHz5/N0I6Ne9X2n01Vxv7fe4Tc3Ka+vMt5akdcyV4FKzPjQvbn352Nco2379j48p9/z9ylBx9rpUXzf9LrL3zB518hWb3alatXwbKKpRWQrl276oUXXlBERIRatWqlqlWrym63KyMjQ8nJydqwYYOmTJmirl27WhnmNfts6teauGSoXvpggL799EcFtQxQ18H/VNS4Rco4n6my5b1Uq2E1Je1N0aljaYZes4xnaQ15p4fOpp3XZ299rVoNc9/B8uhfJ0pMQrIg6ge9MetJvTSxq7796jcFNauprk/cpsgZ3ykj/YLKlrOrVt1KSjp4QqdOnlW9m6ro30+21c74Q/rhux0KbFI91+vt33sk5+JUZPvsra81cdFQvRQ5QN8u+FFBLeqp6zP/VNT4xdnnsI+XajWsqqR9Rwp3Dr/95N/n8ArVuin3cn9H/zpRYhKS6Bmxen3B03rx3Z5aFbNejW6to0cGdFDUxK+UkZ6psj6eqtXAX0mJR3XKYOUi/XymFs75Xo8PuVsnj5zWpjW/q05gNXUf2knrV+/Qb+t2XeffqmiJfu8/ej2yt16cFq5Vizep0c219Ejv9op669u/3yc8VSugspIOHNcpgzdpPHXijJZ+8pO69movSfr1pz9UudoN6jbwTiX/dULfLIy7nr9SkRI96zu9/nF/vTiju1Z9EadGt9TRI/1CFfXmiuzj6+OpWvWrKGn/McPnsCR9MGWl3vz0KY1/v48Wvb9GN/yjvHqPulcJvyXql9U7rvwCbm5B5A96Y/aTemnSv/Xtss0KCq6lrk/epsjp3/33vK5bSUkHj//9+eevf/doq507DumH2B0KbFIj1+tlf/5dXUsiUBiWJiCDBw9WqVKlNGnSJJ09m3eZ03Llyqlbt2569tlnLYjOdbasTdCEHnP0xPMPaMwnA3Us6aTeH7tQi2dlX/BVv1ktvfnVSE0d9IFiP/vJ0GsGtayvG/9ehnDi4mF5np8/6UvNn1Qy7sK7ZeM+vfrc53qi/x0aO/lRHTtyWu9Pj9WiT3+WJNVvWFWT3+upKeOWKnb5FrXr0EilStnUMKi63vmgb57XGzngQ23dnJhnvCTbsnanJvScoyeee0BjPn46+xx+ZZEWz/77HA6upTeXjdDUZz5QbPTPhl4zqGWAbvS/QZI0cdHQPM/Pf/MrzX+zhJzDP+3WawM+UPdh92jMvD46mnxSka99qcXz/k+SFNCkpt78/BlNHbZA3y3cYPh150/7RieOnlbnJ9rq/p7tdPrEWa1Y8JPmF3BPC3e2Zf2feu3ZBer+TEeNmdFdR5NTFTnlGy3+cJ0kKSComt78qJ+mvrhQ3y01fgPM9yev1NHDp3Tvo630SM92On7ktDb/uFsfvROrtGu4fqe42fLLHr026BN1f/afGjOnp44ePqXISV9rcWT2fX4CGlfXm58+ramjYvTd4o2GXzfh10Q9122OegzvpJdmPan0c5n6+bvten/i8mtaPMBdbInbq1dHxeiJAR00dmq4jqWk6v13YrXo75vs1g+sqslze2nKK0sU+9VvandnI5UqVUoNG1fXOx/1y/N6I/t/oK2b9pn8W6AksjmLwFIzmZmZ+v3335WcnKxz587Jy8tL/v7+CgwMzHNr+GvRyS/v/2xwHWdAjStvhGti21sy7u9iFVvZslaH4P58OMbXXUbJvjbienNU4By+3r7dNM7qEAoUt7+O1SHkq0WtfVaHUChF4gYbZcqUUbNmzawOAwAAAMB1xp3QAQAAAJimSFRAAAAAgKLOHW9EaAUqIAAAAABMQwICAAAAwDS0YAEAAAAGFMeb/hVFVEAAAAAAmIYEBAAAAIBpaMECAAAADMhy8t29K3AUAQAAAJiGBAQAAACAaWjBAgAAAAxw8N29S3AUAQAAAJiGBAQAAACAaWjBAgAAAAzgRoSuQQUEAAAAgGlIQAAAAACYhhYsAAAAwABuROgaHEUAAAAApiEBAQAAAGAaWrAAAAAAAxysguUSVEAAAAAAmIYEBAAAAIBpaMECAAAADMjiu3uX4CgCAAAAMA0JCAAAAADT0IIFAAAAGMCNCF2DowgAAADANCQgAAAAAExDCxYAAABggIPv7l2CowgAAADANCQgAAAAAExDCxYAAABgQJbTZnUIboEKCAAAAADTkIAAAAAAMA0JCAAAAADTcA0IAAAAYEAW3927BEcRAAAAgGlIQAAAAACYhhYsAAAAwACHk+/uXYGjCAAAAMA0JCAAAAAATEMLFgAAAGAAq2C5BkcRAAAAgGlIQAAAAACYhhYsAAAAwIAsp83qENwCFRAAAAAApiEBAQAAAGAaWrAAAAAAAxx8d+8SJSoBSXg10OoQ3FqpiulWh+D2nM66Vofg1krbs6wOwe1dOOxtdQhuz+HtsDoEtzakbazVIQDFHmkcAAAAANOUqAoIAAAAcLWynHx37wocRQAAAACmIQEBAAAAYBpasAAAAAADHOJGhK5ABQQAAACAaUhAAAAAAJiGFiwAAADAAFbBcg2OIgAAAADTkIAAAAAAMA0tWAAAAIABWXx37xIcRQAAAACmIQEBAAAAYBpasAAAAAADHE5uROgKVEAAAAAAmIYEBAAAAIBpaMECAAAADGAVLNfgKAIAAAAwDQkIAAAAANPQggUAAAAY4HDy3b0rcBQBAACAEsrhcGj69Olq3769goOD1bt3byUmJha4/ZEjRzRs2DC1atVKrVq10rPPPqvDhw8Xak4SEAAAAKCEmj17tqKjozVhwgTFxMTIZrOpX79+ysjIyHf7oUOHKikpSR988IE++OADHT58WAMHDizUnCQgAAAAgAFZshXJx9XKyMhQVFSUBg8erNDQUAUGBmratGlKTk5WbGxsnu1TU1MVFxenfv36KSgoSEFBQerfv7927NihEydOGJ6XBAQAAAAogRISEnTmzBm1bt06Z8zX11dBQUGKi4vLs72np6fKli2rpUuXKi0tTWlpaVq2bJnq1KmjChUqGJ6Xi9ABAACAEujitRtVq1bNNV65cmUlJSXl2d7T01Ovvfaaxo8fr5CQENlsNlWqVEnz589XqVLG6xokIAAAAIABRXUVrI4dO172+dWrV+c7fu7cOUmS3W7PNe7p6alTp07l2d7pdGrnzp1q3ry5+vbtq6ysLE2bNk2DBg3SZ599Jh8fH0PxkoAAAAAAJZCXl5ek7GtBLv5bktLT0+Xt7Z1n+6+//loLFizQf/7zn5xkY86cOerQoYMWLVqkHj16GJqXBAQAAAAoxgqqcFzJxdarlJQU1apVK2c8JSVFgYGBebbftGmT6tatm6vSUaFCBdWtW1f79u0zPG/RrCMBAAAARYzVq125ehWswMBA+fj4aP369Tljqampio+PV0hISJ7tq1atqsTERKWnp+eMnTt3TgcPHlTt2rUNz0sCAgAAAJRAdrtd3bt315QpU7R69WolJCRo6NCh8vf3V1hYmLKysnTkyBGdP39ektSlSxdJ0pAhQ5SQkJCzvd1u18MPP2x4XhIQAAAAoISKiIhQ165dNXr0aIWHh8vDw0ORkZGy2+1KSkpSu3bttGLFCknZq2MtWLBATqdTPXr0UK9evVSmTBl99tln8vX1NTynzel0Oq/XL1TU1Jk11eoQ3FqpiulX3gjXxOm8+jIrrqy0PcvqENzehcN5L2qEazm8HVaH4NaGtM17cza41tBGq6wOoUCv7bjP6hDy9VLj5VaHUChUQAAAAACYhgQEAAAAgGlYhhcAAAAwIKuI3oiwuOEoAgAAADANCQgAAAAA09CCBQAAABjguIab/uG/qIAAAAAAMA0JCAAAAADT0IIFAAAAGMAqWK7BUQQAAABgGhIQAAAAAKahBQsAAAAwwOFkFSxXoAICAAAAwDQkIAAAAABMQwsWAAAAYEAW3927BEcRAAAAgGlIQAAAAACYhhYsAAAAwABWwXINKiAAAAAATEMCAgAAAMA0tGABAAAABjj47t4lOIoAAAAATEMCAgAAAMA0lrdgPfHEE7LZjK0o8PHHH1/naAAAAID8ZbEKlktYnoC0adNGM2bMUL169dSsWTOrwwEAAABwHVmegAwcOFBly5bV9OnT9d5776lGjRpWhwQAAADgOikS14D07NlTt9xyi95++22rQwEAAADy5XDaiuSjuLG8AnLRa6+9pvj4eKvDAAAAAHAdFZkEpEqVKqpSpYrVYQAAAAC4jopMAgIAAAAUZQ5nkbh6odjjKAIAAAAwDQkIAAAAANPQggUAAAAYkKXit+JUUUQFBAAAAIBpSEAAAAAAmIYWLAAAAMCA4njTv6KICggAAAAA05CAAAAAADANLVgAAACAAdyI0DU4igAAAABMQwICAAAAwDS0YAEAAAAGOLgRoUtQAQEAAABgGhIQAAAAAKahBQsAAAAwIIsbEboEFRAAAAAApiEBAQAAAGAaWrAAAAAAA7gRoWtwFAEAAACYhgQEAAAAgGlowQIAAAAMcLAKlktQAQEAAABgGhIQAAAAAKahBQsAAAAwwCFasFyBCggAAAAA05CAAAAAADANLVgAAACAAayC5RpUQAAAAACYhgQEAAAAgGlowQIAAAAMcDj57t4VOIoAAAAATEMCAgAAAMA0tGABAAAABrAKlmtQAQEAAABgGhIQAAAAAKahBQsAAAAwwCFasFyBCggAAAAA05CAAAAAADANLVgAAACAAayC5RpUQAAAAACYhgQEAAAAgGlowQIAAAAMoAXLNaiAAAAAADANCQgAAAAA09CCBQAAABhAC5ZrUAEBAAAAYBoSEAAAAKCEcjgcmj59utq3b6/g4GD17t1biYmJ+W47Y8YMNWzYMN/HCy+8YHhOm9PpdLrqFyjqlv15s9UhANfEr1Sa1SG4tUx5WB2C28ty8r3X9dbRO8vqENzaMccZq0Nwe5WqHbI6hAJ1/iHC6hDy9fXt069635kzZ2rBggWaOHGiqlSposmTJ+vAgQNavny57HZ7rm3PnDmjs2fP5hpbuHCh5syZo5iYGAUGBhqak08CAAAAoATKyMhQVFSUBg8erNDQUAUGBmratGlKTk5WbGxsnu3LlSunSpUq5TzOnTun9957T88//7zh5EMiAQEAAABKpISEBJ05c0atW7fOGfP19VVQUJDi4uKuuP8bb7yhBg0a6NFHHy3UvKyCBQAAABjgUNFcBatjx46XfX716tX5jh8+fFiSVLVq1VzjlStXVlJS0mVfc9u2bVq9erU++ugjlSpVuJoGFRAAAACgBDp37pwk5bnWw9PTU+np6Zfd98MPP1RwcHCu6olRVEAAAACAYqygCseVeHl5Scq+FuTivyUpPT1d3t7eBe539uxZxcbGauzYsVc1LwkIAAAAYIC73YjwYutVSkqKatWqlTOekpJy2YvK165dK4fDobCwsKualxYsAAAAoAQKDAyUj4+P1q9fnzOWmpqq+Ph4hYSEFLjfpk2b1LhxY/n6+l7VvFRAAAAAgBLIbrere/fumjJlivz8/FS9enVNnjxZ/v7+CgsLU1ZWlo4fP67y5cvnatFKSEjQTTfddNXzUgEBAAAADHA4bUXycS0iIiLUtWtXjR49WuHh4fLw8FBkZKTsdruSkpLUrl07rVixItc+R48e1Q033HDVc3IndKAY4U7o1xd3Qr/+uBP69ced0K8v7oR+/RXlO6GH/d9Qq0PIV+wd06wOoVD4JAAAAABgGq4BAQAAAAxwt1WwrEIFBAAAAIBpSEAAAAAAmIYWLAAAAMAAWrBcgwoIAAAAANOQgAAAAAAwDS1YAAAAgAFOWrBcggoIAAAAANOQgAAAAAAwDS1YAAAAgAEO0YLlClRAAAAAAJiGBAQAAACAaWjBAgAAAAzgRoSuQQUEAAAAgGlIQAAAAACYhhYsAAAAwABuROgaVEAAAAAAmIYEBAAAAIBpaMECAAAADGAVLNegAgIAAADANCQgAAAAAExDCxYAAABgAKtguQYVEAAAAACmIQEBAAAAYBpasAAAAAADWAXLNaiAAAAAADANCQgAAAAA09CCBQAAABjgdFodgXugAgIAAADANCQgAAAAAExDCxYAAABggEOsguUKVEAAAAAAmIYEBAAAAIBpaMECAAAADHByI0KXoAICAAAAwDQkIAAAAABMQwsWAAAAYICDFiyXoAICAAAAwDQkIAAAAABMQwsWAAAAYIDTaXUE7oEKCAAAAADTWJ6A7N27VzNmzNCECRO0Zs2aPM+npaXphRdesCAyAAAAAK5maQKyadMmPfTQQ1q+fLl++OEHPfXUUxo8eLAyMjJytjl//ryWLl1qXZAAAACAsm9EWBQfxY2lCcjUqVPVtWtXffvtt1q1apXeeust/fjjj3rqqaeUmZlpZWgAAAAArgNLE5CdO3eqe/fuOT/fc889mjdvnn799VeNGjXKwsgAAAAAXA+WJiA+Pj46ceJErrFbb71VkydP1rfffquJEydaFBkAAACQm9WtVrRguUBoaKjGjx+vLVu25Gq5uuuuu/Tiiy/qo48+0vjx4y2MEAAAAIArWZqADB8+XBUrVtRjjz2mn3/+Oddz3bt315gxY/T9999bFB0AAAAAV7P0RoQVKlRQVFSU9u/fr4oVK+Z5/vHHH1ebNm20atUqC6IDAAAA/stRDNudiqIicSf0WrVqFfhc3bp1NWDAABOjAQAAAHC9WH4jQgAAAAAlR5GogAAAAABFndNpdQTugQoIAAAAANOQgAAAAAAwDS1YAAAAgAHF8aZ/RREVEAAAAACmIQEBAAAAYBpasAAAAAADaMFyDSogAAAAAExDAgIAAADANLRgAQAAAAZwH0LXoAICAAAAwDQkIAAAAABMQwsWAAAAYACrYLkGFRAAAAAApiEBAQAAAGAaWrAAAAAAI1gGyyWogAAAAAAwDQkIAAAAANPQggUAAAAYwCpYrkEFBAAAAIBpSEAAAAAAmIYWLAAAAMAAJ6tguQQVEAAAAACmIQEBAAAAYBoSEAAAAMAAp9NWJB/XwuFwaPr06Wrfvr2Cg4PVu3dvJSYmFrh9Zmampk6dqvbt2+vmm29W9+7d9fvvvxdqThIQAAAAoISaPXu2oqOjNWHCBMXExMhms6lfv37KyMjId/tXXnlFCxcu1KuvvqpFixbphhtuUL9+/XT69GnDc5KAAAAAACVQRkaGoqKiNHjwYIWGhiowMFDTpk1TcnKyYmNj82x/4MABLVy4UBMnTtQdd9yhgIAAvf7667Lb7dq+fbvheVkFCwAAADDCzW5EmJCQoDNnzqh169Y5Y76+vgoKClJcXJw6d+6ca/t169bJ19dXt99+e67tv//++0LNSwICAAAAFGMdO3a87POrV6/Od/zw4cOSpKpVq+Yar1y5spKSkvJsv2/fPtWsWVOrVq3S3LlzlZycrKCgID3//PMKCAgwHC8tWAAAAEAJdO7cOUmS3W7PNe7p6an09PQ826elpWn//v2aPXu2hg0bpnfffVelS5fW448/rmPHjhmelwoIAAAAYEBRvRFhQRWOK/Hy8pKUfS3IxX9LUnp6ury9vfNsX6ZMGZ0+fVrTpk3LqXhMmzZNoaGhWrJkifr27WtoXiogAAAAQAl0sfUqJSUl13hKSor8/f3zbO/v76/SpUvnarfy8vJSzZo1dfDgQcPzkoAAAAAAJVBgYKB8fHy0fv36nLHU1FTFx8crJCQkz/YhISG6cOGCtm3bljN2/vx5HThwQLVr1zY8Ly1YAAAAgBFFtAXratntdnXv3l1TpkyRn5+fqlevrsmTJ8vf319hYWHKysrS8ePHVb58eXl5eSkkJES33XabnnvuOY0fP1433HCDpk+fLg8PDz344IOG56UCAgAAAJRQERER6tq1q0aPHq3w8HB5eHgoMjJSdrtdSUlJateunVasWJGz/YwZM9SyZUs988wz6tq1q9LS0vTxxx/Lz8/P8Jw2p7OoXk7jesv+vNnqEIBr4lcqzeoQ3FqmPKwOwe1lOfne63rr6J1ldQhu7ZjjjNUhuL1K1Q5ZHUKB6i143eoQ8vXn4y9aHUKh0IIFAAAAGOB0sxsRWoWvogAAAACYhgQEAAAAgGlowQIAAACMKDFXTl9fVEAAAAAAmIYEBAAAAIBpaMECAAAADGAVLNegAgIAAADANCQgAAAAAExDCxYAAABgBKtguQQVEAAAAACmKVEVkE7eqVaH4NZSnelWh+D2fG2eVofg1tKc560Owe1VLFXW6hDc3qjk5laH4Na2P3mT1SG4vW+2WB0BrrcSlYAAAAAAV49VsFyBFiwAAAAApiEBAQAAAGAaWrAAAAAAI1gFyyWogAAAAAAwDQkIAAAAANPQggUAAAAYQQuWS1ABAQAAAGAaEhAAAAAApqEFCwAAADDCyY0IXYEKCAAAAADTkIAAAAAAMA0tWAAAAIABTlbBcgkqIAAAAABMQwICAAAAwDS0YAEAAABG0ILlElRAAAAAAJiGBAQAAACAaWjBAgAAAIzgRoQuQQUEAAAAgGlIQAAAAACYhhYsAAAAwAAbq2C5BBUQAAAAAKYhAQEAAABgGlqwAAAAACNowXIJKiAAAAAATEMCAgAAAMA0tGABAAAARnAjQpegAgIAAADANCQgAAAAAExDCxYAAABgBKtguQQVEAAAAACmIQEBAAAAYBpasAAAAAAjaMFyCSogAAAAAExDAgIAAADANLRgAQAAAEbQguUSVEAAAAAAmIYEBAAAAIBpaMECAAAAjHDarI7ALVABAQAAAGAaEhAAAAAApqEFCwAAADDAxipYLkEFBAAAAIBpSEAAAAAAmIYWLAAAAMAIWrBcggoIAAAAANOQgAAAAAAwDQkIAAAAANOQgAAAAAAwTaEuQj9y5IhmzZqlAwcO6B//+IcaNWqkJk2aqHHjxvL29r5eMQIAAABwE4VKQF588UWtW7dODRo00MGDB/XVV1/J6XSqVKlSqlevnpo0aaKmTZuqadOmCgwMVJkyZa5X3AAAAICpuBGhaxQqAfn11181cuRI9e7dW5J09uxZ7dixQ9u2bdO2bdsUFxenJUuWSJLsdru2bt16xddMT0/X7t27Vb9+fXl5een333/X/PnzlZycrAYNGqhHjx7y9/e/il8NAAAAQFFTqATE09NTQUFBOT+XLVtWLVq0UIsWLXLGTp48qa1bt2r79u1XfL09e/aoZ8+eOnLkiKpVq6YJEyZo4MCBqlGjhgICAvTdd99p8eLFWrBggQICAgoTKgAAAIAiqFAXod91112Kj4+/7DY33HCDbr/9dg0cOPCKr/fmm2+qefPmWrp0qW699VY9/fTTuv/++/XVV1/pnXfe0cqVK9W2bVtNnDixMGECAAAArue0Fc1HMVOoBOSRRx7RypUr9ccff7hk8g0bNmjIkCEKDAzUc889p/T0dIWHh8tmyz6QpUuX1lNPPaVNmza5ZD4AAAAA1ipUC9a///1v2Ww2/etf/1KnTp3Uvn17NW7cWLVr176qyb28vHT+/HlJ0j/+8Q/9+9//lqenZ65tUlNTVb58+at6fQAAAABFS6ESkAkTJuj333/Xjh07tHLlSi1ZskQ2m03lypVTUFCQmjRpolGjRhl+vXbt2unVV1/VhAkTFBAQoPHjx+c853Q6tWHDBo0bN0533XVXYcIEAAAAXI9VsFyiUC1YXbt21csvv6zo6Ght3rxZX331lSZOnKguXbrowoULio6OLtTkL7zwgrKysjR79uw8z61YsUI9evRQ9erVNWzYsEK9LgAAAICiqVAVkP9VqlQpNWjQQA0aNFCXLl0kZVctCsPPz0+ff/65Tp48mee5Nm3aaOnSpQoMDLzaEAEAAAAUMVedgOTn4sXjhXXDDTfkGfPz85Ofn981RgQAAAC4CC1YLlGoFiwAAAAAuBYkIAAAAABM49IWLAAAAMBd2WjBcgkqIAAAAEAJ5XA4NH36dLVv317BwcHq3bu3EhMTC9x+yZIlatiwYZ7H5fa5FBUQAAAAoISaPXu2oqOjNXHiRFWpUkWTJ09Wv379tHz5ctnt9jzb79y5Uy1bttRbb72Va7wwi0dRAQEAAACMcBbRx1XKyMhQVFSUBg8erNDQUAUGBmratGlKTk5WbGxsvvvs2rVLgYGBqlSpUq6Hh4eH4XlJQAAAAIASKCEhQWfOnFHr1q1zxnx9fRUUFKS4uLh899m5c6fq169/TfPSggUAAAAUYx07drzs86tXr853/PDhw5KkqlWr5hqvXLmykpKS8mx//PhxHT16VHFxcfrkk0908uRJBQcHa8SIEapbt67heKmAAAAAAEZY3Wrl4hasc+fOSVKeaz08PT2Vnp6eZ/tdu3ZJkjw8PDRp0iRNmzZNZ8+e1eOPP66jR48anpcKCAAAAFCMFVThuBIvLy9J2deCXPy3JKWnp8vb2zvP9q1bt9aGDRtUoUKFnLFZs2apQ4cOWrx4sfr3729oXiogAAAAQAl0sfUqJSUl13hKSor8/f3z3ed/kw9JKlu2rGrUqKHk5GTD85KAAAAAAAbYnEXzcbUCAwPl4+Oj9evX54ylpqYqPj5eISEhebZfsGCBWrVqpfPnz+eMpaWlad++fYW6MJ0EBAAAACiB7Ha7unfvrilTpmj16tVKSEjQ0KFD5e/vr7CwMGVlZenIkSM5CUeHDh3kdDo1atQo7d69W9u2bdPgwYPl5+enhx56yPC8JCAAAABACRUREaGuXbtq9OjRCg8Pl4eHhyIjI2W325WUlKR27dppxYoVkrJbtj766COdOXNG4eHh6tmzp8qXL6+PP/441zUkV2JzOp3XULgpXtKT6lkdgltLdeZdLQGu5WvztDoEt5bmzLA6BLdXsVRZq0Nwe6OSm1sdglvb/uRNVofg9r7Z8qrVIRSo/pvTrA4hX3+MGmp1CIVCBQQAAACAaUhAAAAAAJiG+4AAAAAARpSYCxeuLyogAAAAAExDAgIAAADANLRgAQAAAAZcy03/8F9UQAAAAACYhgQEAAAAgGlowQIAAACMoAXLJaiAAAAAADANCQgAAAAA09CCBQAAABjAKliuQQUEAAAAgGlIQAAAAACYhhYsAAAAwAhasFyCCggAAAAA05CAAAAAADANLVgAAACAEbRguQQVEAAAAACmIQEBAAAAYBpasAAAAAADuBGha1ABAQAAAGAaEhAAAAAApiEBAQAAAGAaEhAAAAAApiEBAQAAAGAaVsECAAAAjGAVLJegAgIAAADANCQgAAAAAExDCxYAAABgADcidA0qIAAAAABMQwICAAAAwDS0YAEAAABG0ILlEiUqAXmwYajVIbg1x7lzVofg9kp5e1sdgltznE+3OgT353RYHYH7s9HccD3ZSv1pdQhAsce7FAAAAADTlKgKCAAAAHDVaMFyCSogAAAAAExDAgIAAADANLRgAQAAAAZwI0LXoAICAAAAwDQkIAAAAABMQwsWAAAAYAQtWC5BBQQAAACAaUhAAAAAAJiGFiwAAADAAFbBcg0qIAAAAABMQwICAAAAwDS0YAEAAABG0ILlElRAAAAAAJiGBAQAAACAaWjBAgAAAIygBcslqIAAAAAAMA0JCAAAAADT0IIFAAAAGMCNCF2DCggAAAAA05CAAAAAADANLVgAAACAEbRguQQVEAAAAACmIQEBAAAAYBpasAAAAAAjaMFyCSogAAAAAExDAgIAAADANLRgAQAAAAZwI0LXoAICAAAAwDQkIAAAAABMQwsWAAAAYAQtWC5BBQQAAACAaUhAAAAAAJiGFiwAAADAAFbBcg0qIAAAAABMQwICAAAAwDS0YAEAAABG0ILlElRAAAAAAJiGBAQAAACAaUhAAAAAAJiGBAQAAAAwwllEH9fA4XBo+vTpat++vYKDg9W7d28lJiYa2verr75Sw4YNdfDgwULNSQICAAAAlFCzZ89WdHS0JkyYoJiYGNlsNvXr108ZGRmX3e/QoUMaN27cVc1JAgIAAACUQBkZGYqKitLgwYMVGhqqwMBATZs2TcnJyYqNjS1wP4fDoZEjR6px48ZXNS8JCAAAAGCArYg+rlZCQoLOnDmj1q1b54z5+voqKChIcXFxBe43Z84cZWZmasCAAVc1L/cBAQAAAEqgw4cPS5KqVq2aa7xy5cpKSkrKd5+tW7cqKipKCxcuVHJy8lXNSwICAAAAFGMdO3a87POrV6/Od/zcuXOSJLvdnmvc09NTp06dyrP92bNnNWLECI0YMUJ16tQhAQEAAACuKze7E7qXl5ek7GtBLv5bktLT0+Xt7Z1n+wkTJqhOnTp67LHHrmleEhAAAACgGCuownElF1uvUlJSVKtWrZzxlJQUBQYG5tl+0aJFstvtat68uSQpKytLknTffffpgQce0Pjx4w3NSwICAAAAlECBgYHy8fHR+vXrcxKQ1NRUxcfHq3v37nm2X7VqVa6ft2zZopEjR2ru3LkKCAgwPC8JCAAAAGCAzc1asOx2u7p3764pU6bIz89P1atX1+TJk+Xv76+wsDBlZWXp+PHjKl++vLy8vFS7du1c+1+8iL1atWq68cYbDc/LMrwAAABACRUREaGuXbtq9OjRCg8Pl4eHhyIjI2W325WUlKR27dppxYoVLp3T5nQ6i2Qud//992vu3Ll5lgW7Fp18e7nstZCX4++VFHD9lMrngjC4juN8utUhuD+nw+oI3J+N7xavJ1upa7nrAoz49vynVodQoOAh06wOIV9b3h5qdQiFYmkL1tKlSwt8LjExUStXrpSfn58kqUuXLuYEBQAAAOSnSH5tX/xYmoCMGzdO58+flyTlV4h58803JUk2m40EBAAAAHADliYgixcv1ogRI1S+fHlNmjRJVapUyXmuefPm+vLLL1WzZk0LIwQAAADgSpY2itatW1cxMTFq1qyZHnzwQZdf4AIAAAC4jLOIPooZy69UK126tIYNG6YZM2ZoypQpGj58uE6fPm11WAAAAACuA8sTkItatGiRc1H6fffdp8zMTGsDAgAAAOByRepGhL6+vpo6daqWLl2qxYsXy9PT0+qQAAAAAEnudyNCqxSpBOSiLl26sOoVAAAA4IaKTAsWAAAAAPdXJCsgAAAAQJFDC5ZLUAEBAAAAYBoSEAAAAACmoQULAAAAMIBVsFyDCggAAAAA05CAAAAAADANLVgAAACAEbRguQQVEAAAAACmIQEBAAAAYBpasAAAAAADWAXLNaiAAAAAADANCQgAAAAA09CCBQAAABhBC5ZLUAEBAAAAYBoSEAAAAACmoQULAAAAMIIWLJegAgIAAADANCQgAAAAAExDCxYAAABgADcidA0qIAAAAABMQwICAAAAwDS0YAEAAABG0ILlElRAAAAAAJiGBAQAAACAaWjBAgAAAAywOenBcgUqIAAAAABMQwICAAAAwDS0YAEAAABG0IHlElRAAAAAAJiGBAQAAACAaWjBAgAAAAyw0YLlElRAAAAAAJiGBAQAAACAaWjBAgAAAIygBcslqIAAAAAAMA0JCAAAAADT0IIFAAAAGMAqWK5BBQQAAACAaUhAAAAAAJiGFiwAAADACFqwXIIKCAAAAADTkIAAAAAAMA0tWAAAAIABrILlGlRAAAAAAJiGBAQAAACAaWjBAgAAAIygBcslqIAAAAAAME2JqoBkpaVZHQJwTTiHAVyJh4+31SG4Nd6HgWtXohIQAAAA4GqxCpZr0IIFAAAAwDQkIAAAAABMQwsWAAAAYISTHixXoAICAAAAwDQkIAAAAABMQwsWAAAAYACrYLkGFRAAAAAApiEBAQAAAGAaWrAAAAAAI2jBcgkqIAAAAABMQwICAAAAwDS0YAEAAAAG2BxWR+AeqIAAAAAAMA0JCAAAAADT0IIFAAAAGMEqWC5BBQQAAACAaUhAAAAAAJiGFiwAAADAABstWC5BBQQAAAAooRwOh6ZPn6727dsrODhYvXv3VmJiYoHbb9++XT169FDz5s3VunVrjRkzRqmpqYWakwQEAAAAKKFmz56t6OhoTZgwQTExMbLZbOrXr58yMjLybJuSkqJevXqpVq1aWrJkiWbPnq3NmzfrueeeK9ScJCAAAACAEU5n0XxcpYyMDEVFRWnw4MEKDQ1VYGCgpk2bpuTkZMXGxubZ/tChQ2rfvr3Gjh2rOnXq6JZbbtG//vUv/fzzz4WalwQEAAAAKIESEhJ05swZtW7dOmfM19dXQUFBiouLy7N98+bN9dZbb6l06ezLyP/44w8tWbJEbdu2LdS8XIQOAAAAFGMdO3a87POrV6/Od/zw4cOSpKpVq+Yar1y5spKSki77mnfffbf27dun6tWra/bs2YWIlgoIAAAAYIjNWTQfV+vcuXOSJLvdnmvc09NT6enpl913ypQpmj9/vipVqqQnn3xSZ86cMTwvFRAAAACgGCuownElXl5ekrKvBbn4b0lKT0+Xt7f3Zfdt2rSpJGnGjBkKDQ1VbGysunTpYmheKiAAAABACXSx9SolJSXXeEpKivz9/fNsv2fPHq1ZsybXWOXKlVWhQgUlJycbnpcEBAAAADDCWUQfVykwMFA+Pj5av359zlhqaqri4+MVEhKSZ/u1a9fq2WefVVpaWs7Y/v37deLECQUEBBielwQEAAAAKIHsdru6d++uKVOmaPXq1UpISNDQoUPl7++vsLAwZWVl6ciRIzp//rwk6cEHH1T58uU1cuRI7d69Wxs3blRERISaNWumDh06GJ6XBAQAAAAooSIiItS1a1eNHj1a4eHh8vDwUGRkpOx2u5KSktSuXTutWLFCklSxYkV9/PHHcjgcCg8P16BBgxQUFKTIyEh5eHgYntPmdF7D3UuKmbBS/7I6BAAArisPHx+rQ3BrWf/TeoLrI9bxhdUhFKj9Q1OsDiFfa5eMsDqEQqECAgAAAMA0JCAAAAAATMN9QAAAAAAjSs6VC9cVFRAAAAAApiEBAQAAAGAaWrAAAAAAA2x0YLkEFRAAAAAApiEBAQAAAGAaWrAAAAAAI2jBcgkqIAAAAABMQwICAAAAwDS0YAEAAAAGsAqWa1ABAQAAAGAaEhAAAAAApqEFCwAAADDCQQ+WK1ABAQAAAGAaEhAAAAAApqEFCwAAADCCDiyXoAICAAAAwDQkIAAAAABMQwsWAAAAYAA3InQNSysgCxcuVEZGRq6xX375Rf3799cDDzyg4cOH648//rAoOgAAAACuZmkC8vLLL+v06dM5P69bt069evWSw+FQu3btdOTIET3yyCPavHmzhVECAAAAcBVLW7Ccztx1rNmzZ+vJJ5/UCy+8kDM2ceJETZkyRQsWLDA7PAAAAOC/nPRguUKRugg9MTFRDz74YK6xRx99VPHx8RZFBAAAAMCVLE1AbDZbrp/r1Kmjs2fP5ho7ceKEypcvb2ZYAAAAAK4Ty1uwOnbsqLp16yogIEB2u12TJ0/W/PnzVaZMGW3evFnjxo1TaGiolWECAAAArILlIpYmIN9//7127typXbt2aefOnTpy5Ij27dunrKwslSlTRn369FHDhg01fPhwK8MEAAAA4CKWJiDVqlVTtWrV1KFDh5yxzMxMlSlTRpIUHR2tm266KU+rFgAAAIDiqcjdiPBi8iFJDRs2tDASAAAA4H/QguUSRWoVLAAAAADujQQEAAAAgGmKXAsWAAAAUBTZuBGhS1ABAQAAAGAaEhAAAAAApqEFCwAAADDCYXUA7oEKCAAAAADTkIAAAAAAMA0tWAAAAIABrILlGlRAAAAAAJiGBAQAAACAaWjBAgAAAIygA8slqIAAAAAAMA0JCAAAAADT0IIFAAAAGMEqWC5BBQQAAACAaUhAAAAAAJiGFiwAAADAABsdWC5BBQQAAACAaUhAAAAAAJiGFiwAAADACFbBcgkqIAAAAABMQwICAAAAwDS0YAEAAAAG2BxWR+AeqIAAAAAAMA0JCAAAAADT0IIFAAAAGMEqWC5BBQQAAACAaUhAAAAAAJiGFiwAAADACDqwXIIKCAAAAADTkIAAAAAAMA0tWAAAAIABNlbBcgkqIAAAAABMQwICAAAAwDS0YAEAAABG0ILlElRAAAAAAJiGBAQAAACAaWjBAgAAAIxwWB2Ae6ACAgAAAMA0JCAAAAAATEMLFgAAAGAANyJ0DSogAAAAAExDAgIAAADANLRgAQAAAEbQguUSVEAAAAAAmIYEBAAAACihHA6Hpk+frvbt2ys4OFi9e/dWYmJigdvv3r1b/fv3V6tWrdSmTRtFRETor7/+KtScJCAAAACAEU5n0Xxcg9mzZys6OloTJkxQTEyMbDab+vXrp4yMjDzbnjhxQr169VK5cuU0f/58zZs3TydOnFDfvn2Vnp5ueE6uAQEAwI1kpaVZHQKAYiIjI0NRUVEaOXKkQkNDJUnTpk1T+/btFRsbq86dO+fa/rvvvtO5c+f0xhtvyNPTU5I0efJkhYaGavPmzWrTpo2heamAAAAAACVQQkKCzpw5o9atW+eM+fr6KigoSHFxcXm2b9OmjWbNmpWTfPyvU6dOGZ6XCggAAABghMPqAPLXsWPHyz6/evXqfMcPHz4sSapatWqu8cqVKyspKSnP9jVq1FCNGjVyjb333nvy9PRUixYtDMdLBQQAAAAogc6dOydJstvtucY9PT0NXdPx8ccfa8GCBRo2bJhuvPFGw/NSAQEAAACKsYIqHFfi5eUlKftakIv/lqT09HR5e3sXuJ/T6dQ777yjd999VwMGDFDPnj0LNS8JCAAAAGCAzc1uRHix9SolJUW1atXKGU9JSVFgYGC++2RmZuqFF17Q8uXLNWrUKPXp06fQ89KCBQAAAJRAgYGB8vHx0fr163PGUlNTFR8fr5CQkHz3GTVqlL755htNnTr1qpIPiQoIAAAAUCLZ7XZ1795dU6ZMkZ+fn6pXr67JkyfL399fYWFhysrK0vHjx1W+fHl5eXlp8eLFWrFihUaNGqWWLVvqyJEjOa91cRsjqIAAAAAARlh9w8HrcCPCiIgIde3aVaNHj1Z4eLg8PDwUGRkpu92upKQktWvXTitWrJAkLV++XJL05ptvql27drkeF7cxwuZ0ulkz22WElfqX1SEAAADgMmIdX1gdQoE6Bb9sdQj5+mbLq1aHUChUQAAAAACYhmtAAAAAACNKTuPQdUUFBAAAAIBpSEAAAAAAmIYWLAAAAMAIWrBcggoIAAAAANOQgAAAAAAwDS1YAAAAgBEOqwNwD1RAAAAAAJiGBAQAAACAaWjBAgAAAAywsQqWS1ABAQAAAGAaEhAAAAAApqEFCwAAADCCFiyXoAICAAAAwDQkIAAAAABMQwsWAAAAYISDFixXoAICAAAAwDQkIAAAAABMQwsWAAAAYASrYLkEFRAAAAAApiEBAQAAAGAaWrAAAAAAI2jBcgkqIAAAAABMQwICAAAAwDS0YAEAAABG0ILlElRAAAAAAJiGBAQAAACAaWjBAgAAAIxw0ILlClRAAAAAAJiGBAQAAACAaWjBAgAAAIxwOqyOwC1QAQEAAABgGhIQAAAAAKahBQsAAAAwghsRugQVEAAAAACmIQEBAAAAYBpasAAAAAAjuBGhS1ABAQAAAGAaEhAAAAAApqEFCwAAADCCVbBcggoIAAAAANOQgAAAAAAwjeUtWFu2bNH69evVv39/SdIvv/yiDz/8UAcPHlStWrXUu3dvhYSEWBwlAAAASjxasFzC0grIN998o/DwcG3YsEGS9J///Ee9evWS0+lUaGioMjMz1aNHD/3nP/+xMkwAAAAALmJpBWTmzJl65plnNHDgQEnSu+++q6eeekrPPvtszjbvvvuupk+frg4dOlgVJgAAAAAXsbQCsn//ft1///05Px88eFB33313rm3uu+8+7dmzx+zQAAAAgNyczqL5KGYsTUBq1qypNWvW5PzcqFEjJSQk5Npm69atqlKlitmhAQAAALgOLG3B6tevn1566SUdPnxY9913nwYOHKjnn39e6enpatCggbZs2aJZs2bpmWeesTJMAAAAAC5iaQLSpUsX2Ww2TZ8+Xe+//75sNpucTqfGjh0rSSpXrpz69u2rnj17WhkmAAAAIDkcVkfgFixfhvfBBx/Ugw8+qD///FP79u1TWlqaypQpI39/fwUFBcnT09PqEAEAAAC4iOUJyEX16tVTvXr1rA4DAAAAwHVUZBIQAAAAoEgrhitOFUWWroIFAAAAoGQhAQEAAABgGlqwAAAAACNowXIJKiAAAAAATEMCAgAAAMA0tGABAAAARjhowXIFKiAAAAAATEMCAgAAAMA0tGABAAAABjidDqtDcAtUQAAAAACYhgQEAAAAgGlowQIAAACMYBUsl6ACAgAAAMA0JCAAAAAATEMLFgAAAGCEkxYsV6ACAgAAAMA0JCAAAAAATEMLFgAAAGCEgxsRugIVEAAAAACmIQEBAAAAYBpasAAAAAAjWAXLJaiAAAAAADANCQgAAABQQjkcDk2fPl3t27dXcHCwevfurcTEREP79enTRzNmzCj0nCQgAAAAgAFOh6NIPq7F7NmzFR0drQkTJigmJkY2m039+vVTRkZGgfucP39eI0eO1Lp1665qThIQAAAAoATKyMhQVFSUBg8erNDQUAUGBmratGlKTk5WbGxsvvts3rxZDz30kLZs2SJfX9+rmpcEBAAAACiBEhISdObMGbVu3TpnzNfXV0FBQYqLi8t3n7Vr1yosLExLly5V+fLlr2peVsECAAAAjHCzVbAOHz4sSapatWqu8cqVKyspKSnffZ599tlrnpcEBAAAACjGOnbseNnnV69ene/4uXPnJEl2uz3XuKenp06dOuWa4PJBCxYAAABQAnl5eUlSngvO09PT5e3tfd3mpQICAAAAGOEomi1YBVU4ruRi61VKSopq1aqVM56SkqLAwECXxJYfKiAAAABACRQYGCgfHx+tX78+Zyw1NVXx8fEKCQm5bvNSAQEAAABKILvdru7du2vKlCny8/NT9erVNXnyZPn7+yssLExZWVk6fvy4ypcvn9Ou5QokIAAAAIARzmu76V9RFBERoQsXLmj06NE6f/68WrRoocjISNntdh08eFAdO3bUxIkT9fDDD7tsTpvT6WbriV1GWKl/WR0CAAAALiPW8YXVIRTobq9uVoeQr2/Pf2p1CIXCNSAAAAAATEMLFgAAAGCAs4iuglXcUAEBAAAAYBoSEAAAAACmoQULAAAAMMINV8GyAhUQAAAAAKYhAQEAAABgGlqwAAAAAANYBcs1qIAAAAAAMA0JCAAAAADT0IIFAAAAGMEqWC5BBQQAAACAaUhAAAAAAJjG5nQ6uZwfAAAAgCmogAAAAAAwDQkIAAAAANOQgAAAAAAwDQkIAAAAANOQgAAAAAAwDQkIAAAAANOQgAAAAAAwDQkIAAAAANOQgAAAAAAwDQkIAAAAANOQgAAAAAAwDQkIAAAAANOQgAAAAAAwDQlIEeNwODR9+nS1b99ewcHB6t27txITE60Oy23Nnj1bTzzxhNVhuJWTJ09qzJgxuv3223XLLbcoPDxcGzdutDost3Ls2DGNHDlSrVu3VvPmzdW/f3/98ccfVofllvbu3avmzZtr8eLFVofiVg4dOqSGDRvmeXzxxRdWh+ZWli5dqnvvvVdNmzZV586dtXLlSqtDAiSRgBQ5s2f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    " - ] - }, - "metadata": { - "filenames": { - "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter10_59_2.png" - } - }, - "output_type": "display_data" - } - ], + "outputs": [], "source": [ "# visual representation of grid search\n", "# uses seaborn heatmap, you can also do this with matplotlib imshow\n", @@ -2235,602 +2083,7 @@ "collapsed": false, "editable": true }, - "outputs": [ - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 1e-05\n", - "Lambda = 1e-05\n", - "Accuracy score on test set: 0.18333333333333332\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 1e-05\n", - "Lambda = 0.0001\n", - "Accuracy score on test set: 0.18611111111111112\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 1e-05\n", - "Lambda = 0.001\n", - "Accuracy score on test set: 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"Lambda = 0.1\n", - "Accuracy score on test set: 0.23333333333333334\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 1e-05\n", - "Lambda = 1.0\n", - "Accuracy score on test set: 0.12777777777777777\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 1e-05\n", - "Lambda = 10.0\n", - "Accuracy score on test set: 0.1527777777777778\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.0001\n", - "Lambda = 1e-05\n", - "Accuracy score on test set: 0.9111111111111111\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.0001\n", - "Lambda = 0.0001\n", - "Accuracy score on test set: 0.8888888888888888\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.0001\n", - "Lambda = 0.001\n", - "Accuracy score on test set: 0.8722222222222222\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.0001\n", - "Lambda = 0.01\n", - "Accuracy score on test set: 0.8305555555555556\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.0001\n", - "Lambda = 0.1\n", - "Accuracy score on test set: 0.8888888888888888\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.0001\n", - "Lambda = 1.0\n", - "Accuracy score on test set: 0.8805555555555555\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.0001\n", - "Lambda = 10.0\n", - "Accuracy score on test set: 0.8944444444444445\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.001\n", - "Lambda = 1e-05\n", - "Accuracy score on test set: 0.975\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.001\n", - "Lambda = 0.0001\n", - "Accuracy score on test set: 0.9777777777777777\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.001\n", - "Lambda = 0.001\n", - "Accuracy score on test set: 0.9805555555555555\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.001\n", - "Lambda = 0.01\n", - "Accuracy score on test set: 0.9861111111111112\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.001\n", - "Lambda = 0.1\n", - "Accuracy score on test set: 0.9805555555555555\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.001\n", - "Lambda = 1.0\n", - "Accuracy score on test set: 0.9777777777777777\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.001\n", - "Lambda = 10.0\n", - "Accuracy score on test set: 0.9444444444444444\n", - "\n" - ] - }, - { - "name": "stderr", - "output_type": "stream", - "text": [ - "/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:691: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn't converged yet.\n", - " warnings.warn(\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.01\n", - "Lambda = 1e-05\n", - "Accuracy score on test set: 0.9861111111111112\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.01\n", - "Lambda = 0.0001\n", - "Accuracy score on test set: 0.9888888888888889\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.01\n", - "Lambda = 0.001\n", - "Accuracy score on test set: 0.9888888888888889\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.01\n", - "Lambda = 0.01\n", - "Accuracy score on test set: 0.9861111111111112\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.01\n", - "Lambda = 0.1\n", - "Accuracy score on test set: 0.9888888888888889\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.01\n", - "Lambda = 1.0\n", - "Accuracy score on test set: 0.9722222222222222\n", - "\n", - "Learning rate = 0.01\n", - "Lambda = 10.0\n", - "Accuracy score on test set: 0.9527777777777777\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.1\n", - "Lambda = 1e-05\n", - "Accuracy score on test set: 0.9027777777777778\n", - "\n", - "Learning rate = 0.1\n", - "Lambda = 0.0001\n", - "Accuracy score on test set: 0.8583333333333333\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.1\n", - "Lambda = 0.001\n", - "Accuracy score on test set: 0.8722222222222222\n", - "\n", - "Learning rate = 0.1\n", - "Lambda = 0.01\n", - "Accuracy score on test set: 0.9055555555555556\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.1\n", - "Lambda = 0.1\n", - "Accuracy score on test set: 0.8805555555555555\n", - "\n", - "Learning rate = 0.1\n", - "Lambda = 1.0\n", - "Accuracy score on test set: 0.8722222222222222\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 0.1\n", - "Lambda = 10.0\n", - "Accuracy score on test set: 0.8666666666666667\n", - "\n", - "Learning rate = 1.0\n", - "Lambda = 1e-05\n", - "Accuracy score on test set: 0.08611111111111111\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 1.0\n", - "Lambda = 0.0001\n", - "Accuracy score on test set: 0.10555555555555556\n", - "\n", - "Learning rate = 1.0\n", - "Lambda = 0.001\n", - "Accuracy score on test set: 0.10555555555555556\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 1.0\n", - "Lambda = 0.01\n", - "Accuracy score on test set: 0.17777777777777778\n", - "\n", - "Learning rate = 1.0\n", - "Lambda = 0.1\n", - "Accuracy score on test set: 0.08333333333333333\n", - "\n", - "Learning rate = 1.0\n", - "Lambda = 1.0\n", - "Accuracy score on test set: 0.08888888888888889\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 1.0\n", - "Lambda = 10.0\n", - "Accuracy score on test set: 0.09444444444444444\n", - "\n", - "Learning rate = 10.0\n", - "Lambda = 1e-05\n", - "Accuracy score on test set: 0.17222222222222222\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 10.0\n", - "Lambda = 0.0001\n", - "Accuracy score on test set: 0.11666666666666667\n", - "\n", - "Learning rate = 10.0\n", - "Lambda = 0.001\n", - "Accuracy score on test set: 0.10555555555555556\n", - "\n", - "Learning rate = 10.0\n", - "Lambda = 0.01\n", - "Accuracy score on test set: 0.1388888888888889\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 10.0\n", - "Lambda = 0.1\n", - "Accuracy score on test set: 0.11388888888888889\n", - "\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ - "Learning rate = 10.0\n", - "Lambda = 1.0\n", - "Accuracy score on test set: 0.10555555555555556\n", - "\n", - "Learning rate = 10.0\n", - "Lambda = 10.0\n", - "Accuracy score on test set: 0.09444444444444444\n", - "\n" - ] - } - ], + "outputs": [], "source": [ "from sklearn.neural_network import MLPClassifier\n", "# store models for later use\n", @@ -2868,36 +2121,7 @@ "collapsed": false, "editable": true }, - "outputs": [ - { - "data": { - "image/png": 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start_node \u001b[38;5;241m=\u001b[39m VJPNode\u001b[38;5;241m.\u001b[39mnew_root()\n\u001b[0;32m---> 10\u001b[0m end_value, end_node \u001b[38;5;241m=\u001b[39m \u001b[43mtrace\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstart_node\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mfun\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 11\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m end_node \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 12\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mvjp\u001b[39m(g): \u001b[38;5;28;01mreturn\u001b[39;00m vspace(x)\u001b[38;5;241m.\u001b[39mzeros()\n", "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:10\u001b[0m, in \u001b[0;36mtrace\u001b[0;34m(start_node, fun, x)\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m trace_stack\u001b[38;5;241m.\u001b[39mnew_trace() \u001b[38;5;28;01mas\u001b[39;00m t:\n\u001b[1;32m 9\u001b[0m start_box \u001b[38;5;241m=\u001b[39m new_box(x, t, start_node)\n\u001b[0;32m---> 10\u001b[0m end_box \u001b[38;5;241m=\u001b[39m \u001b[43mfun\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstart_box\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 11\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m isbox(end_box) \u001b[38;5;129;01mand\u001b[39;00m end_box\u001b[38;5;241m.\u001b[39m_trace \u001b[38;5;241m==\u001b[39m start_box\u001b[38;5;241m.\u001b[39m_trace:\n\u001b[1;32m 12\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m end_box\u001b[38;5;241m.\u001b[39m_value, end_box\u001b[38;5;241m.\u001b[39m_node\n", "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:15\u001b[0m, in \u001b[0;36munary_to_nary..nary_operator..nary_f..unary_f\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 14\u001b[0m subargs \u001b[38;5;241m=\u001b[39m subvals(args, \u001b[38;5;28mzip\u001b[39m(argnum, x))\n\u001b[0;32m---> 15\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfun\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43msubargs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", - "Cell \u001b[0;32mIn[9], line 79\u001b[0m, in \u001b[0;36mcost_function\u001b[0;34m(P, x, t)\u001b[0m\n\u001b[1;32m 76\u001b[0m point \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39marray([x_,t_])\n\u001b[1;32m 78\u001b[0m g_t \u001b[38;5;241m=\u001b[39m g_trial(point,P)\n\u001b[0;32m---> 79\u001b[0m g_t_jacobian \u001b[38;5;241m=\u001b[39m \u001b[43mg_t_jacobian_func\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpoint\u001b[49m\u001b[43m,\u001b[49m\u001b[43mP\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 80\u001b[0m g_t_hessian \u001b[38;5;241m=\u001b[39m g_t_hessian_func(point,P)\n\u001b[1;32m 82\u001b[0m g_t_dt \u001b[38;5;241m=\u001b[39m g_t_jacobian[\u001b[38;5;241m1\u001b[39m]\n", + "Cell \u001b[0;32mIn[9], line 80\u001b[0m, in \u001b[0;36mcost_function\u001b[0;34m(P, x, t)\u001b[0m\n\u001b[1;32m 78\u001b[0m g_t \u001b[38;5;241m=\u001b[39m g_trial(point,P)\n\u001b[1;32m 79\u001b[0m g_t_jacobian \u001b[38;5;241m=\u001b[39m g_t_jacobian_func(point,P)\n\u001b[0;32m---> 80\u001b[0m g_t_hessian \u001b[38;5;241m=\u001b[39m \u001b[43mg_t_hessian_func\u001b[49m\u001b[43m(\u001b[49m\u001b[43mpoint\u001b[49m\u001b[43m,\u001b[49m\u001b[43mP\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 82\u001b[0m g_t_dt \u001b[38;5;241m=\u001b[39m g_t_jacobian[\u001b[38;5;241m1\u001b[39m]\n\u001b[1;32m 83\u001b[0m g_t_d2x \u001b[38;5;241m=\u001b[39m g_t_hessian[\u001b[38;5;241m0\u001b[39m][\u001b[38;5;241m0\u001b[39m]\n", "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:20\u001b[0m, in \u001b[0;36munary_to_nary..nary_operator..nary_f\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 18\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 19\u001b[0m x \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mtuple\u001b[39m(args[i] \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m argnum)\n\u001b[0;32m---> 20\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43munary_operator\u001b[49m\u001b[43m(\u001b[49m\u001b[43munary_f\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mnary_op_args\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mnary_op_kwargs\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:64\u001b[0m, in \u001b[0;36mjacobian\u001b[0;34m(fun, x)\u001b[0m\n\u001b[1;32m 62\u001b[0m jacobian_shape \u001b[38;5;241m=\u001b[39m ans_vspace\u001b[38;5;241m.\u001b[39mshape \u001b[38;5;241m+\u001b[39m vspace(x)\u001b[38;5;241m.\u001b[39mshape\n\u001b[1;32m 63\u001b[0m grads \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mmap\u001b[39m(vjp, ans_vspace\u001b[38;5;241m.\u001b[39mstandard_basis())\n\u001b[0;32m---> 64\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m np\u001b[38;5;241m.\u001b[39mreshape(\u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mstack\u001b[49m\u001b[43m(\u001b[49m\u001b[43mgrads\u001b[49m\u001b[43m)\u001b[49m, jacobian_shape)\n", - "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_wrapper.py:88\u001b[0m, in \u001b[0;36mstack\u001b[0;34m(arrays, axis)\u001b[0m\n\u001b[1;32m 83\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mstack\u001b[39m(arrays, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m):\n\u001b[1;32m 84\u001b[0m \u001b[38;5;66;03m# this code is basically copied from numpy/core/shape_base.py's stack\u001b[39;00m\n\u001b[1;32m 85\u001b[0m \u001b[38;5;66;03m# we need it here because we want to re-implement stack in terms of the\u001b[39;00m\n\u001b[1;32m 86\u001b[0m \u001b[38;5;66;03m# primitives defined in this file\u001b[39;00m\n\u001b[0;32m---> 88\u001b[0m arrays \u001b[38;5;241m=\u001b[39m [array(arr) \u001b[38;5;28;01mfor\u001b[39;00m arr \u001b[38;5;129;01min\u001b[39;00m arrays]\n\u001b[1;32m 89\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m arrays:\n\u001b[1;32m 90\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mneed at least one array to stack\u001b[39m\u001b[38;5;124m'\u001b[39m)\n", - "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_wrapper.py:88\u001b[0m, in \u001b[0;36m\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m 83\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mstack\u001b[39m(arrays, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m):\n\u001b[1;32m 84\u001b[0m \u001b[38;5;66;03m# this code is basically copied from numpy/core/shape_base.py's stack\u001b[39;00m\n\u001b[1;32m 85\u001b[0m \u001b[38;5;66;03m# we need it here because we want to re-implement stack in terms of the\u001b[39;00m\n\u001b[1;32m 86\u001b[0m \u001b[38;5;66;03m# primitives defined in this file\u001b[39;00m\n\u001b[0;32m---> 88\u001b[0m arrays \u001b[38;5;241m=\u001b[39m [array(arr) \u001b[38;5;28;01mfor\u001b[39;00m arr \u001b[38;5;129;01min\u001b[39;00m arrays]\n\u001b[1;32m 89\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m arrays:\n\u001b[1;32m 90\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mValueError\u001b[39;00m(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124mneed at least one array to stack\u001b[39m\u001b[38;5;124m'\u001b[39m)\n", - "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:14\u001b[0m, in \u001b[0;36mmake_vjp..vjp\u001b[0;34m(g)\u001b[0m\n\u001b[0;32m---> 14\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mvjp\u001b[39m(g): \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mbackward_pass\u001b[49m\u001b[43m(\u001b[49m\u001b[43mg\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mend_node\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:21\u001b[0m, in \u001b[0;36mbackward_pass\u001b[0;34m(g, end_node)\u001b[0m\n\u001b[1;32m 19\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m node \u001b[38;5;129;01min\u001b[39;00m toposort(end_node):\n\u001b[1;32m 20\u001b[0m outgrad \u001b[38;5;241m=\u001b[39m outgrads\u001b[38;5;241m.\u001b[39mpop(node)\n\u001b[0;32m---> 21\u001b[0m ingrads \u001b[38;5;241m=\u001b[39m \u001b[43mnode\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mvjp\u001b[49m\u001b[43m(\u001b[49m\u001b[43moutgrad\u001b[49m\u001b[43m[\u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m]\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 22\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m parent, ingrad \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mzip\u001b[39m(node\u001b[38;5;241m.\u001b[39mparents, ingrads):\n\u001b[1;32m 23\u001b[0m outgrads[parent] \u001b[38;5;241m=\u001b[39m add_outgrads(outgrads\u001b[38;5;241m.\u001b[39mget(parent), ingrad)\n", - "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:67\u001b[0m, in \u001b[0;36mdefvjp..vjp_argnums..\u001b[0;34m(g)\u001b[0m\n\u001b[1;32m 64\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mNotImplementedError\u001b[39;00m(\n\u001b[1;32m 65\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mVJP of \u001b[39m\u001b[38;5;132;01m{}\u001b[39;00m\u001b[38;5;124m wrt argnum 0 not defined\u001b[39m\u001b[38;5;124m\"\u001b[39m\u001b[38;5;241m.\u001b[39mformat(fun\u001b[38;5;241m.\u001b[39m\u001b[38;5;18m__name__\u001b[39m))\n\u001b[1;32m 66\u001b[0m vjp \u001b[38;5;241m=\u001b[39m vjpfun(ans, \u001b[38;5;241m*\u001b[39margs, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[0;32m---> 67\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;01mlambda\u001b[39;00m g: (\u001b[43mvjp\u001b[49m\u001b[43m(\u001b[49m\u001b[43mg\u001b[49m\u001b[43m)\u001b[49m,)\n\u001b[1;32m 68\u001b[0m \u001b[38;5;28;01melif\u001b[39;00m L \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m2\u001b[39m:\n\u001b[1;32m 69\u001b[0m argnum_0, argnum_1 \u001b[38;5;241m=\u001b[39m argnums\n", - "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_vjps.py:660\u001b[0m, in \u001b[0;36munbroadcast_f..\u001b[0;34m(g)\u001b[0m\n\u001b[1;32m 658\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21munbroadcast_f\u001b[39m(target, f):\n\u001b[1;32m 659\u001b[0m target_meta \u001b[38;5;241m=\u001b[39m anp\u001b[38;5;241m.\u001b[39mmetadata(target)\n\u001b[0;32m--> 660\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;01mlambda\u001b[39;00m g: \u001b[43munbroadcast\u001b[49m\u001b[43m(\u001b[49m\u001b[43mf\u001b[49m\u001b[43m(\u001b[49m\u001b[43mg\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mtarget_meta\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_vjps.py:653\u001b[0m, in \u001b[0;36munbroadcast\u001b[0;34m(x, target_meta, broadcast_idx)\u001b[0m\n\u001b[1;32m 651\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m axis, size \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28menumerate\u001b[39m(target_shape):\n\u001b[1;32m 652\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m size \u001b[38;5;241m==\u001b[39m \u001b[38;5;241m1\u001b[39m:\n\u001b[0;32m--> 653\u001b[0m x \u001b[38;5;241m=\u001b[39m \u001b[43manp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43msum\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43maxis\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mkeepdims\u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[38;5;28;43;01mTrue\u001b[39;49;00m\u001b[43m)\u001b[49m\n\u001b[1;32m 654\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m anp\u001b[38;5;241m.\u001b[39miscomplexobj(x) \u001b[38;5;129;01mand\u001b[39;00m \u001b[38;5;129;01mnot\u001b[39;00m target_iscomplex:\n\u001b[1;32m 655\u001b[0m x \u001b[38;5;241m=\u001b[39m anp\u001b[38;5;241m.\u001b[39mreal(x)\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:81\u001b[0m, in \u001b[0;36mhessian\u001b[0;34m(fun, x)\u001b[0m\n\u001b[1;32m 78\u001b[0m \u001b[38;5;129m@unary_to_nary\u001b[39m\n\u001b[1;32m 79\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mhessian\u001b[39m(fun, x):\n\u001b[1;32m 80\u001b[0m \u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mReturns a function that computes the exact Hessian.\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[0;32m---> 81\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mjacobian\u001b[49m\u001b[43m(\u001b[49m\u001b[43mjacobian\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfun\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\u001b[43m(\u001b[49m\u001b[43mx\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:20\u001b[0m, in \u001b[0;36munary_to_nary..nary_operator..nary_f\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 18\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 19\u001b[0m x \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mtuple\u001b[39m(args[i] \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m argnum)\n\u001b[0;32m---> 20\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43munary_operator\u001b[49m\u001b[43m(\u001b[49m\u001b[43munary_f\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mnary_op_args\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mnary_op_kwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:60\u001b[0m, in \u001b[0;36mjacobian\u001b[0;34m(fun, x)\u001b[0m\n\u001b[1;32m 50\u001b[0m \u001b[38;5;129m@unary_to_nary\u001b[39m\n\u001b[1;32m 51\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mjacobian\u001b[39m(fun, x):\n\u001b[1;32m 52\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 53\u001b[0m \u001b[38;5;124;03m Returns a function which computes the Jacobian of `fun` with respect to\u001b[39;00m\n\u001b[1;32m 54\u001b[0m \u001b[38;5;124;03m positional argument number `argnum`, which must be a scalar or array. Unlike\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 58\u001b[0m \u001b[38;5;124;03m (out1, out2, ...) then the Jacobian has shape (out1, out2, ..., in1, in2, ...).\u001b[39;00m\n\u001b[1;32m 59\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m---> 60\u001b[0m vjp, ans \u001b[38;5;241m=\u001b[39m \u001b[43m_make_vjp\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfun\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 61\u001b[0m ans_vspace \u001b[38;5;241m=\u001b[39m vspace(ans)\n\u001b[1;32m 62\u001b[0m jacobian_shape \u001b[38;5;241m=\u001b[39m ans_vspace\u001b[38;5;241m.\u001b[39mshape \u001b[38;5;241m+\u001b[39m vspace(x)\u001b[38;5;241m.\u001b[39mshape\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:10\u001b[0m, in \u001b[0;36mmake_vjp\u001b[0;34m(fun, x)\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mmake_vjp\u001b[39m(fun, x):\n\u001b[1;32m 9\u001b[0m start_node \u001b[38;5;241m=\u001b[39m VJPNode\u001b[38;5;241m.\u001b[39mnew_root()\n\u001b[0;32m---> 10\u001b[0m end_value, end_node \u001b[38;5;241m=\u001b[39m \u001b[43mtrace\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstart_node\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mfun\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 11\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m end_node \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 12\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mvjp\u001b[39m(g): \u001b[38;5;28;01mreturn\u001b[39;00m vspace(x)\u001b[38;5;241m.\u001b[39mzeros()\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:10\u001b[0m, in \u001b[0;36mtrace\u001b[0;34m(start_node, fun, x)\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m trace_stack\u001b[38;5;241m.\u001b[39mnew_trace() \u001b[38;5;28;01mas\u001b[39;00m t:\n\u001b[1;32m 9\u001b[0m start_box \u001b[38;5;241m=\u001b[39m new_box(x, t, start_node)\n\u001b[0;32m---> 10\u001b[0m end_box \u001b[38;5;241m=\u001b[39m \u001b[43mfun\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstart_box\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 11\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m isbox(end_box) \u001b[38;5;129;01mand\u001b[39;00m end_box\u001b[38;5;241m.\u001b[39m_trace \u001b[38;5;241m==\u001b[39m start_box\u001b[38;5;241m.\u001b[39m_trace:\n\u001b[1;32m 12\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m end_box\u001b[38;5;241m.\u001b[39m_value, end_box\u001b[38;5;241m.\u001b[39m_node\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:15\u001b[0m, in \u001b[0;36munary_to_nary..nary_operator..nary_f..unary_f\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 14\u001b[0m subargs \u001b[38;5;241m=\u001b[39m subvals(args, \u001b[38;5;28mzip\u001b[39m(argnum, x))\n\u001b[0;32m---> 15\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfun\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43msubargs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:20\u001b[0m, in \u001b[0;36munary_to_nary..nary_operator..nary_f\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 18\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 19\u001b[0m x \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mtuple\u001b[39m(args[i] \u001b[38;5;28;01mfor\u001b[39;00m i \u001b[38;5;129;01min\u001b[39;00m argnum)\n\u001b[0;32m---> 20\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43munary_operator\u001b[49m\u001b[43m(\u001b[49m\u001b[43munary_f\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mnary_op_args\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mnary_op_kwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/differential_operators.py:60\u001b[0m, in \u001b[0;36mjacobian\u001b[0;34m(fun, x)\u001b[0m\n\u001b[1;32m 50\u001b[0m \u001b[38;5;129m@unary_to_nary\u001b[39m\n\u001b[1;32m 51\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mjacobian\u001b[39m(fun, x):\n\u001b[1;32m 52\u001b[0m \u001b[38;5;250m \u001b[39m\u001b[38;5;124;03m\"\"\"\u001b[39;00m\n\u001b[1;32m 53\u001b[0m \u001b[38;5;124;03m Returns a function which computes the Jacobian of `fun` with respect to\u001b[39;00m\n\u001b[1;32m 54\u001b[0m \u001b[38;5;124;03m positional argument number `argnum`, which must be a scalar or array. Unlike\u001b[39;00m\n\u001b[0;32m (...)\u001b[0m\n\u001b[1;32m 58\u001b[0m \u001b[38;5;124;03m (out1, out2, ...) then the Jacobian has shape (out1, out2, ..., in1, in2, ...).\u001b[39;00m\n\u001b[1;32m 59\u001b[0m \u001b[38;5;124;03m \"\"\"\u001b[39;00m\n\u001b[0;32m---> 60\u001b[0m vjp, ans \u001b[38;5;241m=\u001b[39m \u001b[43m_make_vjp\u001b[49m\u001b[43m(\u001b[49m\u001b[43mfun\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 61\u001b[0m ans_vspace \u001b[38;5;241m=\u001b[39m vspace(ans)\n\u001b[1;32m 62\u001b[0m jacobian_shape \u001b[38;5;241m=\u001b[39m ans_vspace\u001b[38;5;241m.\u001b[39mshape \u001b[38;5;241m+\u001b[39m vspace(x)\u001b[38;5;241m.\u001b[39mshape\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:10\u001b[0m, in \u001b[0;36mmake_vjp\u001b[0;34m(fun, x)\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mmake_vjp\u001b[39m(fun, x):\n\u001b[1;32m 9\u001b[0m start_node \u001b[38;5;241m=\u001b[39m VJPNode\u001b[38;5;241m.\u001b[39mnew_root()\n\u001b[0;32m---> 10\u001b[0m end_value, end_node \u001b[38;5;241m=\u001b[39m \u001b[43mtrace\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstart_node\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mfun\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 11\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m end_node \u001b[38;5;129;01mis\u001b[39;00m \u001b[38;5;28;01mNone\u001b[39;00m:\n\u001b[1;32m 12\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mvjp\u001b[39m(g): \u001b[38;5;28;01mreturn\u001b[39;00m vspace(x)\u001b[38;5;241m.\u001b[39mzeros()\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:10\u001b[0m, in \u001b[0;36mtrace\u001b[0;34m(start_node, fun, x)\u001b[0m\n\u001b[1;32m 8\u001b[0m \u001b[38;5;28;01mwith\u001b[39;00m trace_stack\u001b[38;5;241m.\u001b[39mnew_trace() \u001b[38;5;28;01mas\u001b[39;00m t:\n\u001b[1;32m 9\u001b[0m start_box \u001b[38;5;241m=\u001b[39m new_box(x, t, start_node)\n\u001b[0;32m---> 10\u001b[0m end_box \u001b[38;5;241m=\u001b[39m \u001b[43mfun\u001b[49m\u001b[43m(\u001b[49m\u001b[43mstart_box\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 11\u001b[0m \u001b[38;5;28;01mif\u001b[39;00m isbox(end_box) \u001b[38;5;129;01mand\u001b[39;00m end_box\u001b[38;5;241m.\u001b[39m_trace \u001b[38;5;241m==\u001b[39m start_box\u001b[38;5;241m.\u001b[39m_trace:\n\u001b[1;32m 12\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m end_box\u001b[38;5;241m.\u001b[39m_value, end_box\u001b[38;5;241m.\u001b[39m_node\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:15\u001b[0m, in \u001b[0;36munary_to_nary..nary_operator..nary_f..unary_f\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 14\u001b[0m subargs \u001b[38;5;241m=\u001b[39m subvals(args, \u001b[38;5;28mzip\u001b[39m(argnum, x))\n\u001b[0;32m---> 15\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfun\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43msubargs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/wrap_util.py:15\u001b[0m, in \u001b[0;36munary_to_nary..nary_operator..nary_f..unary_f\u001b[0;34m(x)\u001b[0m\n\u001b[1;32m 13\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n\u001b[1;32m 14\u001b[0m subargs \u001b[38;5;241m=\u001b[39m subvals(args, \u001b[38;5;28mzip\u001b[39m(argnum, x))\n\u001b[0;32m---> 15\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[43mfun\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43msubargs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", + "Cell \u001b[0;32mIn[9], line 61\u001b[0m, in \u001b[0;36mg_trial\u001b[0;34m(point, P)\u001b[0m\n\u001b[1;32m 59\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mg_trial\u001b[39m(point,P):\n\u001b[1;32m 60\u001b[0m x,t \u001b[38;5;241m=\u001b[39m point\n\u001b[0;32m---> 61\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m (\u001b[38;5;241m1\u001b[39m\u001b[38;5;241m-\u001b[39mt)\u001b[38;5;241m*\u001b[39mu(x) \u001b[38;5;241m+\u001b[39m x\u001b[38;5;241m*\u001b[39m(\u001b[38;5;241m1\u001b[39m\u001b[38;5;241m-\u001b[39mx)\u001b[38;5;241m*\u001b[39mt\u001b[38;5;241m*\u001b[39m\u001b[43mdeep_neural_network\u001b[49m\u001b[43m(\u001b[49m\u001b[43mP\u001b[49m\u001b[43m,\u001b[49m\u001b[43mpoint\u001b[49m\u001b[43m)\u001b[49m\n", + "Cell \u001b[0;32mIn[9], line 48\u001b[0m, in \u001b[0;36mdeep_neural_network\u001b[0;34m(deep_params, x)\u001b[0m\n\u001b[1;32m 45\u001b[0m w_output \u001b[38;5;241m=\u001b[39m deep_params[\u001b[38;5;241m-\u001b[39m\u001b[38;5;241m1\u001b[39m]\n\u001b[1;32m 47\u001b[0m \u001b[38;5;66;03m# Include bias:\u001b[39;00m\n\u001b[0;32m---> 48\u001b[0m x_prev \u001b[38;5;241m=\u001b[39m \u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mconcatenate\u001b[49m\u001b[43m(\u001b[49m\u001b[43m(\u001b[49m\u001b[43mnp\u001b[49m\u001b[38;5;241;43m.\u001b[39;49m\u001b[43mones\u001b[49m\u001b[43m(\u001b[49m\u001b[43m(\u001b[49m\u001b[38;5;241;43m1\u001b[39;49m\u001b[43m,\u001b[49m\u001b[43mnum_points\u001b[49m\u001b[43m)\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mx_prev\u001b[49m\u001b[43m)\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43maxis\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m=\u001b[39;49m\u001b[43m \u001b[49m\u001b[38;5;241;43m0\u001b[39;49m\u001b[43m)\u001b[49m\n\u001b[1;32m 50\u001b[0m z_output \u001b[38;5;241m=\u001b[39m np\u001b[38;5;241m.\u001b[39mmatmul(w_output, x_prev)\n\u001b[1;32m 51\u001b[0m x_output \u001b[38;5;241m=\u001b[39m z_output\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_wrapper.py:38\u001b[0m, in \u001b[0;36m\u001b[0;34m(arr_list, axis)\u001b[0m\n\u001b[1;32m 35\u001b[0m \u001b[38;5;129m@primitive\u001b[39m\n\u001b[1;32m 36\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mconcatenate_args\u001b[39m(axis, \u001b[38;5;241m*\u001b[39margs):\n\u001b[1;32m 37\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m _np\u001b[38;5;241m.\u001b[39mconcatenate(args, axis)\u001b[38;5;241m.\u001b[39mview(ndarray)\n\u001b[0;32m---> 38\u001b[0m concatenate \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mlambda\u001b[39;00m arr_list, axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m : \u001b[43mconcatenate_args\u001b[49m\u001b[43m(\u001b[49m\u001b[43maxis\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43marr_list\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 39\u001b[0m vstack \u001b[38;5;241m=\u001b[39m row_stack \u001b[38;5;241m=\u001b[39m \u001b[38;5;28;01mlambda\u001b[39;00m tup: concatenate([atleast_2d(_m) \u001b[38;5;28;01mfor\u001b[39;00m _m \u001b[38;5;129;01min\u001b[39;00m tup], axis\u001b[38;5;241m=\u001b[39m\u001b[38;5;241m0\u001b[39m)\n\u001b[1;32m 40\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mhstack\u001b[39m(tup):\n", "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/tracer.py:45\u001b[0m, in \u001b[0;36mprimitive..f_wrapped\u001b[0;34m(*args, **kwargs)\u001b[0m\n\u001b[1;32m 43\u001b[0m argnums \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mtuple\u001b[39m(argnum \u001b[38;5;28;01mfor\u001b[39;00m argnum, _ \u001b[38;5;129;01min\u001b[39;00m boxed_args)\n\u001b[1;32m 44\u001b[0m ans \u001b[38;5;241m=\u001b[39m f_wrapped(\u001b[38;5;241m*\u001b[39margvals, \u001b[38;5;241m*\u001b[39m\u001b[38;5;241m*\u001b[39mkwargs)\n\u001b[0;32m---> 45\u001b[0m node \u001b[38;5;241m=\u001b[39m \u001b[43mnode_constructor\u001b[49m\u001b[43m(\u001b[49m\u001b[43mans\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mf_wrapped\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43margvals\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43margnums\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mparents\u001b[49m\u001b[43m)\u001b[49m\n\u001b[1;32m 46\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m new_box(ans, trace, node)\n\u001b[1;32m 47\u001b[0m \u001b[38;5;28;01melse\u001b[39;00m:\n", "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:36\u001b[0m, in \u001b[0;36mVJPNode.__init__\u001b[0;34m(self, value, fun, args, kwargs, parent_argnums, parents)\u001b[0m\n\u001b[1;32m 33\u001b[0m fun_name \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mgetattr\u001b[39m(fun, \u001b[38;5;124m'\u001b[39m\u001b[38;5;124m__name__\u001b[39m\u001b[38;5;124m'\u001b[39m, fun)\n\u001b[1;32m 34\u001b[0m \u001b[38;5;28;01mraise\u001b[39;00m \u001b[38;5;167;01mNotImplementedError\u001b[39;00m(\u001b[38;5;124m\"\u001b[39m\u001b[38;5;124mVJP of \u001b[39m\u001b[38;5;132;01m{}\u001b[39;00m\u001b[38;5;124m wrt argnums \u001b[39m\u001b[38;5;132;01m{}\u001b[39;00m\u001b[38;5;124m not defined\u001b[39m\u001b[38;5;124m\"\u001b[39m\n\u001b[1;32m 35\u001b[0m \u001b[38;5;241m.\u001b[39mformat(fun_name, parent_argnums))\n\u001b[0;32m---> 36\u001b[0m \u001b[38;5;28mself\u001b[39m\u001b[38;5;241m.\u001b[39mvjp \u001b[38;5;241m=\u001b[39m \u001b[43mvjpmaker\u001b[49m\u001b[43m(\u001b[49m\u001b[43mparent_argnums\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mvalue\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43margs\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[43mkwargs\u001b[49m\u001b[43m)\u001b[49m\n", - "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:56\u001b[0m, in \u001b[0;36mdefvjp..vjp_argnums\u001b[0;34m(argnums, ans, args, kwargs)\u001b[0m\n\u001b[1;32m 53\u001b[0m argnums \u001b[38;5;241m=\u001b[39m kwargs\u001b[38;5;241m.\u001b[39mget(\u001b[38;5;124m'\u001b[39m\u001b[38;5;124margnums\u001b[39m\u001b[38;5;124m'\u001b[39m, count())\n\u001b[1;32m 54\u001b[0m vjps_dict \u001b[38;5;241m=\u001b[39m {argnum : translate_vjp(vjpmaker, fun, argnum)\n\u001b[1;32m 55\u001b[0m \u001b[38;5;28;01mfor\u001b[39;00m argnum, vjpmaker \u001b[38;5;129;01min\u001b[39;00m \u001b[38;5;28mzip\u001b[39m(argnums, vjpmakers)}\n\u001b[0;32m---> 56\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mvjp_argnums\u001b[39m(argnums, ans, args, kwargs):\n\u001b[1;32m 57\u001b[0m L \u001b[38;5;241m=\u001b[39m \u001b[38;5;28mlen\u001b[39m(argnums)\n\u001b[1;32m 58\u001b[0m \u001b[38;5;66;03m# These first two cases are just optimizations\u001b[39;00m\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:48\u001b[0m, in \u001b[0;36mdefvjp_argnum..vjp_argnums\u001b[0;34m(argnums, *args)\u001b[0m\n\u001b[1;32m 47\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mvjp_argnums\u001b[39m(argnums, \u001b[38;5;241m*\u001b[39margs):\n\u001b[0;32m---> 48\u001b[0m vjps \u001b[38;5;241m=\u001b[39m [vjpmaker(argnum, \u001b[38;5;241m*\u001b[39margs) \u001b[38;5;28;01mfor\u001b[39;00m argnum \u001b[38;5;129;01min\u001b[39;00m argnums]\n\u001b[1;32m 49\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;01mlambda\u001b[39;00m g: (vjp(g) \u001b[38;5;28;01mfor\u001b[39;00m vjp \u001b[38;5;129;01min\u001b[39;00m vjps)\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/core.py:48\u001b[0m, in \u001b[0;36m\u001b[0;34m(.0)\u001b[0m\n\u001b[1;32m 47\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mvjp_argnums\u001b[39m(argnums, \u001b[38;5;241m*\u001b[39margs):\n\u001b[0;32m---> 48\u001b[0m vjps \u001b[38;5;241m=\u001b[39m [\u001b[43mvjpmaker\u001b[49m\u001b[43m(\u001b[49m\u001b[43margnum\u001b[49m\u001b[43m,\u001b[49m\u001b[43m \u001b[49m\u001b[38;5;241;43m*\u001b[39;49m\u001b[43margs\u001b[49m\u001b[43m)\u001b[49m \u001b[38;5;28;01mfor\u001b[39;00m argnum \u001b[38;5;129;01min\u001b[39;00m argnums]\n\u001b[1;32m 49\u001b[0m \u001b[38;5;28;01mreturn\u001b[39;00m \u001b[38;5;28;01mlambda\u001b[39;00m g: (vjp(g) \u001b[38;5;28;01mfor\u001b[39;00m vjp \u001b[38;5;129;01min\u001b[39;00m vjps)\n", + "File \u001b[0;32m~/miniforge3/envs/myenv/lib/python3.9/site-packages/autograd/numpy/numpy_vjps.py:537\u001b[0m, in \u001b[0;36mgrad_concatenate_args\u001b[0;34m(argnum, ans, axis_args, kwargs)\u001b[0m\n\u001b[1;32m 532\u001b[0m defvjp(tensordot_adjoint_1, \u001b[38;5;28;01mlambda\u001b[39;00m ans, A, G, axes, An, Bn: \u001b[38;5;28;01mlambda\u001b[39;00m B: match_complex(A, tensordot_adjoint_0(B, G, axes, An, Bn)),\n\u001b[1;32m 533\u001b[0m \u001b[38;5;28;01mlambda\u001b[39;00m ans, A, G, axes, An, Bn: \u001b[38;5;28;01mlambda\u001b[39;00m B: match_complex(G, anp\u001b[38;5;241m.\u001b[39mtensordot(A, B, axes)))\n\u001b[1;32m 534\u001b[0m defvjp(anp\u001b[38;5;241m.\u001b[39mouter, \u001b[38;5;28;01mlambda\u001b[39;00m ans, a, b : \u001b[38;5;28;01mlambda\u001b[39;00m g: match_complex(a, anp\u001b[38;5;241m.\u001b[39mdot(g, b\u001b[38;5;241m.\u001b[39mT)),\n\u001b[1;32m 535\u001b[0m \u001b[38;5;28;01mlambda\u001b[39;00m ans, a, b : \u001b[38;5;28;01mlambda\u001b[39;00m g: match_complex(b, anp\u001b[38;5;241m.\u001b[39mdot(a\u001b[38;5;241m.\u001b[39mT, g)))\n\u001b[0;32m--> 537\u001b[0m \u001b[38;5;28;01mdef\u001b[39;00m \u001b[38;5;21mgrad_concatenate_args\u001b[39m(argnum, ans, axis_args, kwargs):\n\u001b[1;32m 538\u001b[0m axis, args \u001b[38;5;241m=\u001b[39m axis_args[\u001b[38;5;241m0\u001b[39m], axis_args[\u001b[38;5;241m1\u001b[39m:]\n\u001b[1;32m 539\u001b[0m sizes \u001b[38;5;241m=\u001b[39m [anp\u001b[38;5;241m.\u001b[39mshape(a)[axis] \u001b[38;5;28;01mfor\u001b[39;00m a \u001b[38;5;129;01min\u001b[39;00m args[:argnum]]\n", "\u001b[0;31mKeyboardInterrupt\u001b[0m: " ] } diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter1_17_0.png b/doc/LectureNotes/_build/jupyter_execute/chapter1_17_0.png index f84642a99558b209e1bcc3387abf6eb0b859ffe6..da9f24db5f34e5a221d101f691475eda2d0341fc 100644 GIT binary patch literal 13441 zcmeHuXIN8F)^4zYB47oiD~JNpqzZ?XXehmGjo63U!TuoL~^pvK6|hIu6Mob%>#X1b%uRx`%owp zgT|$c1}M}H6%>l*Gup(6PM06s_s`cI#8&5MAaqcSLaTH zCYoQ3?5n)E)?oYI`fDKOpnKk4xanH#jfMa_-VH^;Wnw#R*LJm%1oP(I^GO5T8v7 z%+mdagH4NSw<_n}k+=vOi_L50q3bfio7BE2i-r_*pk(M)P?7Rv?H0Lq>E|O+X=gNQ z<{;h<)ihT;hOEOz|WsQ ze;K*iT`^lVUtT9g{};jJ+r8Du6YZHj(vZ@tDfH#bO% z34Bqk;vWcA?&D4IvCeaB>|$4L-DBjm7%hf5%3-E6_a5f27!VW`EV((NLY?_;SX^8@ 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z^4vhK)Dd|i>wvKHg5vDr#~YxbxkfnXw0pe_UW)^gGAnx*a`uJ{ytCLGYL?H_kYE3nyQI4|az9^etPO^3$PX%NdVE fRLoDGaJjLzmjaxTVO$FTQRYK*O|D>cZan%Q)!A#= diff --git a/doc/LectureNotes/Project1.ipynb b/doc/LectureNotes/Project1.ipynb index 816cc7c52..7b1164ca6 100644 --- a/doc/LectureNotes/Project1.ipynb +++ b/doc/LectureNotes/Project1.ipynb @@ -2,7 +2,7 @@ "cells": [ { "cell_type": "markdown", - "id": "6c8c59f8", + "id": "34471c23", "metadata": { "editable": true }, @@ -14,7 +14,7 @@ }, { "cell_type": "markdown", - "id": "24af4cf5", + "id": "947e566c", "metadata": { "editable": true }, @@ -27,7 +27,7 @@ }, { "cell_type": "markdown", - "id": "2971d68f", + "id": "91b68c62", "metadata": { "editable": true }, @@ -60,7 +60,7 @@ }, { "cell_type": "markdown", - "id": "eba3be6a", + "id": "6161e2ec", "metadata": { "editable": true }, @@ -89,7 +89,7 @@ }, { "cell_type": "markdown", - "id": "50da25e5", + "id": "d598eabc", "metadata": { "editable": true }, @@ -111,7 +111,7 @@ }, { "cell_type": "markdown", - "id": "7757fb0c", + "id": "6f94bf24", "metadata": { "editable": true }, @@ -126,7 +126,7 @@ }, { "cell_type": "markdown", - "id": "83fbdb79", + "id": "2d87bd3d", "metadata": { "editable": true }, @@ -159,7 +159,7 @@ { "cell_type": "code", "execution_count": 1, - "id": "39b900ad", + "id": "3ea47a48", "metadata": { "collapsed": false, "editable": true @@ -176,8 +176,7 @@ "from random import random, seed\n", "\n", "fig = plt.figure()\n", - "ax = fig.gca(projection='3d')\n", - "\n", + "ax = fig.add_subplot(projection = '3d')\n", "# Make data.\n", "x = np.arange(0, 1, 0.05)\n", "y = np.arange(0, 1, 0.05)\n", @@ -211,7 +210,7 @@ }, { "cell_type": "markdown", - "id": "ef99fea4", + "id": "681ae810", "metadata": { "editable": true }, @@ -221,7 +220,7 @@ }, { "cell_type": "markdown", - "id": "b1a7f51d", + "id": "0bf63b42", "metadata": { "editable": true }, @@ -243,7 +242,7 @@ }, { "cell_type": "markdown", - "id": "d4bd58e3", + "id": "bda22453", "metadata": { "editable": true }, @@ -256,7 +255,7 @@ }, { "cell_type": "markdown", - "id": "32f767b4", + "id": "7cc65393", "metadata": { "editable": true }, @@ -268,7 +267,7 @@ }, { "cell_type": "markdown", - "id": "bae0d9d6", + "id": "0e5859cb", "metadata": { "editable": true }, @@ -280,7 +279,7 @@ }, { "cell_type": "markdown", - "id": "8f0b2ec9", + "id": "5969702e", "metadata": { "editable": true }, @@ -290,7 +289,7 @@ }, { "cell_type": "markdown", - "id": "8a455920", + "id": "6fc7cf78", "metadata": { "editable": true }, @@ -302,7 +301,7 @@ }, { "cell_type": "markdown", - "id": "3f7ffe3e", + "id": "fad83915", "metadata": { "editable": true }, @@ -333,7 +332,7 @@ }, { "cell_type": "markdown", - "id": "cf4d70a4", + "id": "5ca41535", "metadata": { "editable": true }, @@ -351,7 +350,7 @@ }, { "cell_type": "markdown", - "id": "8cc60702", + "id": "eafba188", "metadata": { "editable": true }, @@ -368,7 +367,7 @@ }, { "cell_type": "markdown", - "id": "bd9d1dd3", + "id": "ca22f9c3", "metadata": { "editable": true }, @@ -384,7 +383,7 @@ }, { "cell_type": "markdown", - "id": "03fab7b5", + "id": "62e8987d", "metadata": { "editable": true }, @@ -396,7 +395,7 @@ }, { "cell_type": "markdown", - "id": "009b7fb9", + "id": "3a837289", "metadata": { "editable": true }, @@ -407,7 +406,7 @@ }, { "cell_type": "markdown", - "id": "5bf0a0d5", + "id": "c4103004", "metadata": { "editable": true }, @@ -419,7 +418,7 @@ }, { "cell_type": "markdown", - "id": "52c48acb", + "id": "8802447b", "metadata": { "editable": true }, @@ -431,7 +430,7 @@ }, { "cell_type": "markdown", - "id": "3158357a", + "id": "b129e460", "metadata": { "editable": true }, @@ -443,7 +442,7 @@ }, { "cell_type": "markdown", - "id": "021253bc", + "id": "91bb15a6", "metadata": { "editable": true }, @@ -454,7 +453,7 @@ }, { "cell_type": "markdown", - "id": "9e89d5fe", + "id": "d6ac051f", "metadata": { "editable": true }, @@ -466,7 +465,7 @@ }, { "cell_type": "markdown", - "id": "5f79916c", + "id": "6d2b1477", "metadata": { "editable": true }, @@ -479,7 +478,7 @@ }, { "cell_type": "markdown", - "id": "a6e62eff", + "id": "ffb13255", "metadata": { "editable": true }, @@ -491,7 +490,7 @@ }, { "cell_type": "markdown", - "id": "7e833f14", + "id": "031020e1", "metadata": { "editable": true }, @@ -501,7 +500,7 @@ }, { "cell_type": "markdown", - "id": "14ef5a97", + "id": "ba8af75f", "metadata": { "editable": true }, @@ -513,7 +512,7 @@ }, { "cell_type": "markdown", - "id": "a9443b1d", + "id": "c5c4d7e6", "metadata": { "editable": true }, @@ -524,7 +523,7 @@ }, { "cell_type": "markdown", - "id": "ff0c2a46", + "id": "62633d34", "metadata": { "editable": true }, @@ -557,7 +556,7 @@ }, { "cell_type": "markdown", - "id": "4c8ea78a", + "id": "18f1b5b0", "metadata": { "editable": true }, @@ -569,7 +568,7 @@ }, { "cell_type": "markdown", - "id": "1d119b3e", + "id": "76dc98a9", "metadata": { "editable": true }, @@ -588,7 +587,7 @@ }, { "cell_type": "markdown", - "id": "b9782b21", + "id": "ea4f7a95", "metadata": { "editable": true }, @@ -600,7 +599,7 @@ }, { "cell_type": "markdown", - "id": "457bd0ae", + "id": "21225b69", "metadata": { "editable": true }, @@ -614,7 +613,7 @@ }, { "cell_type": "markdown", - "id": "fbc011e0", + "id": "c259efb1", "metadata": { "editable": true }, @@ -626,7 +625,7 @@ }, { "cell_type": "markdown", - "id": "5bb40600", + "id": "2bf21344", "metadata": { "editable": true }, @@ -636,7 +635,7 @@ }, { "cell_type": "markdown", - "id": "e5aebe0a", + "id": "2b5dd2b9", "metadata": { "editable": true }, @@ -648,7 +647,7 @@ }, { "cell_type": "markdown", - "id": "6f243211", + "id": "90c065aa", "metadata": { "editable": true }, @@ -658,7 +657,7 @@ }, { "cell_type": "markdown", - "id": "850e1403", + "id": "c29e34b2", "metadata": { "editable": true }, @@ -670,7 +669,7 @@ }, { "cell_type": "markdown", - "id": "86066fab", + "id": "f928062b", "metadata": { "editable": true }, @@ -689,7 +688,7 @@ }, { "cell_type": "markdown", - "id": "aedb0de8", + "id": "ba0fe639", "metadata": { "editable": true }, @@ -712,7 +711,7 @@ }, { "cell_type": "markdown", - "id": "09e42708", + "id": "82f076b3", "metadata": { "editable": true }, @@ -740,7 +739,7 @@ { "cell_type": "code", "execution_count": 2, - "id": "a7412176", + "id": "b5f7adac", "metadata": { "collapsed": false, "editable": true @@ -752,7 +751,7 @@ }, { "cell_type": "markdown", - "id": "2462a733", + "id": "5e55285e", "metadata": { "editable": true }, @@ -764,7 +763,7 @@ { "cell_type": "code", "execution_count": 3, - "id": "e299ff99", + "id": "a66f3a48", "metadata": { "collapsed": false, "editable": true @@ -790,7 +789,7 @@ }, { "cell_type": "markdown", - "id": "58bfbdc9", + "id": "1015d4e5", "metadata": { "editable": true }, @@ -815,7 +814,7 @@ }, { "cell_type": "markdown", - "id": "5c69b9d7", + "id": "23b093c7", "metadata": { "editable": true }, @@ -829,7 +828,7 @@ }, { "cell_type": "markdown", - "id": "a92b1a41", + "id": "fe5834fa", "metadata": { "editable": true }, @@ -859,7 +858,7 @@ }, { "cell_type": "markdown", - "id": "3da35987", + "id": "a238d8fe", 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