diff --git a/doc/LectureNotes/DataFiles/cancer.dot b/doc/LectureNotes/DataFiles/cancer.dot index c3d106ff5..20dfde934 100644 --- a/doc/LectureNotes/DataFiles/cancer.dot +++ b/doc/LectureNotes/DataFiles/cancer.dot @@ -6,7 +6,7 @@ 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="radius error <= 0.643\ngini = 0.008\nsamples = 242\nvalue = [[241, 1]\n[1, 241]]", fillcolor="#e5833c"] ; +3 [label="area error <= 48.975\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 ; @@ -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="area error <= 13.475\ngini = 0.278\nsamples = 6\nvalue = [[1, 5]\n[5, 1]]", fillcolor="#f4caac"] ; +11 [label="worst texture <= 24.785\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 radius <= 17.74\ngini = 0.375\nsamples = 16\nvalue = [[12, 4]\n[4, 12]]", fillcolor="#f9e3d4"] ; +15 [label="worst perimeter <= 116.8\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="mean compactness <= 0.079\ngini = 0.32\nsamples = 5\nvalue = [[1, 4]\n[4, 1]]", fillcolor="#f6d5bd"] ; +17 [label="worst smoothness <= 0.106\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 ; diff --git a/doc/LectureNotes/DataFiles/cancer.png b/doc/LectureNotes/DataFiles/cancer.png index 2906761a1..088d43c77 100644 Binary files a/doc/LectureNotes/DataFiles/cancer.png and b/doc/LectureNotes/DataFiles/cancer.png differ diff --git a/doc/LectureNotes/_build/.doctrees/chapter3.doctree b/doc/LectureNotes/_build/.doctrees/chapter3.doctree index d3af76586..9b6c4bdf6 100644 Binary files a/doc/LectureNotes/_build/.doctrees/chapter3.doctree and b/doc/LectureNotes/_build/.doctrees/chapter3.doctree differ diff --git a/doc/LectureNotes/_build/.doctrees/chapter6.doctree b/doc/LectureNotes/_build/.doctrees/chapter6.doctree index e96347884..8bd9302b2 100644 Binary files a/doc/LectureNotes/_build/.doctrees/chapter6.doctree and b/doc/LectureNotes/_build/.doctrees/chapter6.doctree differ diff --git a/doc/LectureNotes/_build/.doctrees/chapter8.doctree b/doc/LectureNotes/_build/.doctrees/chapter8.doctree index 1b0c4ece5..40c79d96e 100644 Binary files a/doc/LectureNotes/_build/.doctrees/chapter8.doctree and b/doc/LectureNotes/_build/.doctrees/chapter8.doctree differ diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter3.ipynb b/doc/LectureNotes/_build/jupyter_execute/chapter3.ipynb index 51948fb2f..d40c38662 100644 --- a/doc/LectureNotes/_build/jupyter_execute/chapter3.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/chapter3.ipynb @@ -489,10 +489,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "Runtime: 0.14708 sec\n", + "Runtime: 0.165272 sec\n", "Jackknife Statistics :\n", "original bias std. error\n", - " 100.034 100.024 0.147836\n" + " 99.6801 99.6702 0.149483\n" ] } ], @@ -917,7 +917,7 @@ "text": [ "Bootstrap Statistics :\n", "original bias std. error\n", - " 100.179 15.0422 100.179 0.151522\n" + " 100.121 15.022 100.121 0.149904\n" ] } ], @@ -975,7 +975,7 @@ "outputs": [ { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1287,18 +1287,18 @@ "Error: 0.06547790180152355\n", "Bias^2: 0.06208238634231949\n", "Var: 0.0033955154592040936\n", - "0.06547790180152355 >= 0.06208238634231949 + 0.0033955154592040936 = 0.06547790180152359\n", - "Polynomial degree: 4\n", - "Error: 0.06844519414009445\n", - "Bias^2: 0.06453579006728324\n", - "Var: 0.003909404072811226\n", - "0.06844519414009445 >= 0.06453579006728324 + 0.003909404072811226 = 0.06844519414009446\n" + "0.06547790180152355 >= 0.06208238634231949 + 0.0033955154592040936 = 0.06547790180152359\n" ] }, { "name": "stdout", "output_type": "stream", "text": [ + "Polynomial degree: 4\n", + "Error: 0.06844519414009445\n", + "Bias^2: 0.06453579006728324\n", + "Var: 0.003909404072811226\n", + "0.06844519414009445 >= 0.06453579006728324 + 0.003909404072811226 = 0.06844519414009446\n", "Polynomial degree: 5\n", "Error: 0.05227921801205686\n", "Bias^2: 0.0481872773043029\n", @@ -1308,7 +1308,13 @@ "Error: 0.037813671417389005\n", "Bias^2: 0.033657685071527665\n", "Var: 0.00415598634586135\n", - "0.037813671417389005 >= 0.033657685071527665 + 0.00415598634586135 = 0.03781367141738902\n", + "0.037813671417389005 >= 0.033657685071527665 + 0.00415598634586135 = 0.03781367141738902\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ "Polynomial degree: 7\n", "Error: 0.02760977349102253\n", "Bias^2: 0.022999498260366312\n", @@ -1318,13 +1324,7 @@ "Error: 0.017355848195593347\n", "Bias^2: 0.010331721306655127\n", "Var: 0.007024126888938232\n", - "0.017355848195593347 >= 0.010331721306655127 + 0.007024126888938232 = 0.01735584819559336\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ + "0.017355848195593347 >= 0.010331721306655127 + 0.007024126888938232 = 0.01735584819559336\n", "Polynomial degree: 9\n", "Error: 0.02660572763718093\n", "Bias^2: 0.010018312644137363\n", @@ -1339,7 +1339,13 @@ "Error: 0.07160048164233104\n", "Bias^2: 0.014436800088904942\n", "Var: 0.05716368155342608\n", - "0.07160048164233104 >= 0.014436800088904942 + 0.05716368155342608 = 0.07160048164233102\n", + "0.07160048164233104 >= 0.014436800088904942 + 0.05716368155342608 = 0.07160048164233102\n" + ] + }, + { + "name": "stdout", + "output_type": "stream", + "text": [ "Polynomial degree: 12\n", "Error: 0.11547777218872497\n", "Bias^2: 0.01628578269596628\n", @@ -1361,7 +1367,7 @@ }, "metadata": { "filenames": { - "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter3_66_3.png" + "image/png": "/Users/mhjensen/Teaching/MachineLearning/doc/LectureNotes/_build/jupyter_execute/chapter3_66_4.png" } }, "output_type": "display_data" @@ -1725,9 +1731,9 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/626635268.py:73: RuntimeWarning: divide by zero encountered in log10\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_6403/626635268.py:73: RuntimeWarning: divide by zero encountered in log10\n", " plt.plot(polynomial, np.log10(trainingerror), label='Training Error')\n", - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/626635268.py:74: RuntimeWarning: divide by zero encountered in log10\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_6403/626635268.py:74: RuntimeWarning: divide by zero encountered in log10\n", " plt.plot(polynomial, np.log10(testerror), label='Test Error')\n" ] }, @@ -2069,7 +2075,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_1390/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_6403/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10\n", " plt.plot(polynomial, np.log10(estimated_mse_sklearn), label='Test Error')\n" ] }, @@ -3743,7 +3749,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/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.\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_6403/4162706317.py:7: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.\n", " cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)\n" ] }, @@ -4053,7 +4059,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/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.\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_6403/3777801602.py:7: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.\n", " cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)\n" ] }, @@ -4130,7 +4136,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/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.\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_6403/438060758.py:10: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.\n", " cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)\n" ] }, @@ -4215,7 +4221,7 @@ "name": "stderr", "output_type": "stream", "text": [ - "/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.\n", + "/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_6403/3544313922.py:9: UserWarning: set_ticklabels() should only be used with a fixed number of ticks, i.e. after set_ticks() or using a FixedLocator.\n", " cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)\n" ] }, @@ -4276,7 +4282,7 @@ "output_type": "stream", "text": [ "\r", - " 0%| | 0/10 [00:00" ] @@ -107,7 +107,7 @@ }, { "data": { - "image/png": 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", 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", "text/plain": [ "
" ] @@ -1338,13 +1338,7 @@ "name": "stdout", "output_type": "stream", "text": [ - "Test set accuracy with SVM: 0.63\n" - ] - }, - { - "name": "stdout", - "output_type": "stream", - "text": [ + "Test set accuracy with SVM: 0.63\n", "Test set accuracy with Decision Trees: 0.90\n", "Test set accuracy Logistic Regression with scaled data: 0.96\n", "Test set accuracy SVM with scaled data: 0.96\n", diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter6_1_1.png b/doc/LectureNotes/_build/jupyter_execute/chapter6_1_1.png index b5985a26b..e7544fb2b 100644 Binary files a/doc/LectureNotes/_build/jupyter_execute/chapter6_1_1.png and b/doc/LectureNotes/_build/jupyter_execute/chapter6_1_1.png differ diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter6_1_2.png b/doc/LectureNotes/_build/jupyter_execute/chapter6_1_2.png index 87ae2ed44..cf0561643 100644 Binary files a/doc/LectureNotes/_build/jupyter_execute/chapter6_1_2.png and b/doc/LectureNotes/_build/jupyter_execute/chapter6_1_2.png differ diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter8.ipynb b/doc/LectureNotes/_build/jupyter_execute/chapter8.ipynb index e55630f7f..2674163de 100644 --- a/doc/LectureNotes/_build/jupyter_execute/chapter8.ipynb +++ b/doc/LectureNotes/_build/jupyter_execute/chapter8.ipynb @@ -295,10 +295,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "-0.1477190177681485\n", - "3.5426270409877345\n", - "[[1.01393496 3.02432309]\n", - " [3.02432309 9.86643649]]\n" + "0.10541723644166373\n", + "4.575870409023631\n", + "[[0.84972787 2.5321613 ]\n", + " [2.5321613 8.59875207]]\n" ] } ], @@ -340,10 +340,10 @@ "name": "stdout", "output_type": "stream", "text": [ - "0.08793554992813543\n", - "1.9271707090281667\n", - "[[1. 0.6690108]\n", - " [0.6690108 1. ]]\n" + "0.0768805855280187\n", + "1.6568154596723088\n", + "[[1. 0.69438869]\n", + " [0.69438869 1. ]]\n" ] } ], @@ -397,30 +397,30 @@ "name": "stdout", "output_type": "stream", "text": [ - "[[-0.95395895 -3.11535632]\n", - " [ 1.05641352 3.6533977 ]\n", - " [ 0.801356 4.56475921]\n", - " [-0.69136414 -1.7642448 ]\n", - " [ 0.68822559 0.63896182]\n", - " [ 0.30916988 1.25233253]\n", - " [ 0.10008326 0.10539984]\n", - " [-0.52155823 -1.85777073]\n", - " [ 0.24377554 0.94616709]\n", - " [-1.03214247 -4.42364634]]\n", + "[[-1.6629598 -6.60625144]\n", + " [-1.59424119 -4.17676247]\n", + " [ 0.13699574 -1.26680052]\n", + " [ 1.67275915 7.04206048]\n", + " [ 1.48931464 4.73718419]\n", + " [ 0.82341746 3.16411163]\n", + " [ 0.56141009 1.13137881]\n", + " [ 0.38616125 0.98338288]\n", + " [-1.28000355 -3.69734609]\n", + " [-0.53285379 -1.31095745]]\n", " 0 1\n", - "0 -0.953959 -3.115356\n", - "1 1.056414 3.653398\n", - "2 0.801356 4.564759\n", - "3 -0.691364 -1.764245\n", - "4 0.688226 0.638962\n", - "5 0.309170 1.252333\n", - "6 0.100083 0.105400\n", - "7 -0.521558 -1.857771\n", - "8 0.243776 0.946167\n", - "9 -1.032142 -4.423646\n", + "0 -1.662960 -6.606251\n", + "1 -1.594241 -4.176762\n", + "2 0.136996 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1.994474\n", + "1 1.994474 2.001468\n", + "[[3.98636199 1.99447418]\n", + " [1.99447418 2.00146807]]\n" ] } ], @@ -949,13 +949,13 @@ "output_type": "stream", "text": [ "Centered covariance using own code\n", - "[[3.97082748 1.97253307]\n", - " [1.97253307 1.96865004]]\n" + "[[3.98636199 1.99447418]\n", + " [1.99447418 2.00146807]]\n" ] }, { "data": { - "image/png": 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", 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", 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" ] @@ -1044,12 +1044,12 @@ "output_type": "stream", "text": [ "Eigenvalues of Covariance matrix\n", - "5.181766185664273\n", - "0.7577113351177733\n", + "5.221666864828611\n", + "0.766163196245293\n", "First eigenvector\n", - "[0.85222243 0.52317963]\n", + "[0.85014487 0.52654886]\n", "Second eigenvector\n", - "[-0.52317963 0.85222243]\n" + "[-0.52654886 0.85014487]\n" ] }, { @@ -1057,7 +1057,7 @@ "output_type": "stream", "text": [ "Eigenvector of largest eigenvalue\n", - "[0.85222243 0.52317963]\n" + "[-0.85014487 -0.52654886]\n" ] } ], diff --git a/doc/LectureNotes/_build/jupyter_execute/chapter8_65_1.png b/doc/LectureNotes/_build/jupyter_execute/chapter8_65_1.png index d147fd156..8a31d1778 100644 Binary files a/doc/LectureNotes/_build/jupyter_execute/chapter8_65_1.png and b/doc/LectureNotes/_build/jupyter_execute/chapter8_65_1.png differ