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Morten Hjorth-Jensen
2023-10-26 15:34:50 +02:00
parent 8a7d32f497
commit fd7cfb5b72
20 changed files with 32092 additions and 2643 deletions
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@@ -1149,6 +1149,8 @@ doconce format html week41.do.txt --no_mako -->
<ul class="simple">
<li><p>Neural Networks, setting up the basic steps, from the simple perceptron model to the multi-layer perceptron model.</p></li>
<li><p>Building our own Feed-forward Neural Network</p></li>
<li><p><a class="reference external" href="https://youtu.be/5-RRTO9uDvI">Video of lecture notes</a></p></li>
<li><p><a class="reference external" href="https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesOct12.pdf">Whiteboard notes</a></p></li>
<li><p>Readings and Videos:</p>
<ul>
<li><p>These lecture notes</p></li>
@@ -2805,7 +2807,7 @@ the <em>Hadamard product</em>, meaning element-wise multiplication.</p>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Old accuracy on training data: 0.1440501043841336
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3141,7 +3143,7 @@ Lambda = 10.0
Accuracy score on test set: 0.19166666666666668
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3150,7 +3152,7 @@ Lambda = 1e-05
Accuracy score on test set: 0.10555555555555556
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3159,7 +3161,7 @@ Lambda = 0.0001
Accuracy score on test set: 0.08611111111111111
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3168,7 +3170,7 @@ Lambda = 0.001
Accuracy score on test set: 0.10555555555555556
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3177,7 +3179,7 @@ Lambda = 0.01
Accuracy score on test set: 0.08888888888888889
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3186,7 +3188,7 @@ Lambda = 0.1
Accuracy score on test set: 0.08611111111111111
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3195,7 +3197,7 @@ Lambda = 1.0
Accuracy score on test set: 0.08888888888888889
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3204,11 +3206,11 @@ Lambda = 10.0
Accuracy score on test set: 0.09166666666666666
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3217,11 +3219,11 @@ Lambda = 1e-05
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3230,11 +3232,11 @@ Lambda = 0.0001
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3243,11 +3245,11 @@ Lambda = 0.001
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3256,11 +3258,11 @@ Lambda = 0.01
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3269,7 +3271,7 @@ Lambda = 0.1
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3278,11 +3280,11 @@ Lambda = 1.0
Accuracy score on test set: 0.10555555555555556
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3291,11 +3293,11 @@ Lambda = 10.0
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3304,11 +3306,11 @@ Lambda = 1e-05
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3317,11 +3319,11 @@ Lambda = 0.0001
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3330,11 +3332,11 @@ Lambda = 0.001
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3343,11 +3345,11 @@ Lambda = 0.01
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3356,11 +3358,11 @@ Lambda = 0.1
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3369,11 +3371,11 @@ Lambda = 1.0
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -3426,15 +3428,15 @@ Accuracy score on test set: 0.07777777777777778
</div>
</div>
<div class="cell_output docutils container">
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11118/953065564.py:4: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19431/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -3698,9 +3700,8 @@ Accuracy score on test set: 0.9888888888888889
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate = 0.01
Lambda = 1.0
Accuracy score on test set: 0.9722222222222222
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate = 0.01
Learning rate = 0.01
Lambda = 10.0
Accuracy score on test set: 0.9527777777777777
</pre></div>
@@ -3752,13 +3753,13 @@ 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
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>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
</pre></div>
@@ -4221,9 +4222,8 @@ Accuracy score on data set: 0.5
Learning rate = 1.0
Lambda = 10.0
Accuracy score on data set: 0.5
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate = 10.0
Learning rate = 10.0
Lambda = 1e-05
Accuracy score on data set: 0.5
@@ -4274,7 +4274,7 @@ Accuracy score on data set: 0.5
warnings.warn(
</pre></div>
</div>
<img alt="_images/week41_211_3.png" src="_images/week41_211_3.png" />
<img alt="_images/week41_211_2.png" src="_images/week41_211_2.png" />
</div>
</div>
</div>
doc/LectureNotes/_build/html/week42.html
+97 -92
View File
@@ -990,6 +990,8 @@ doconce format html week42.do.txt --no_mako -->
<li><p>Readings and Videos:</p>
<ul>
<li><p>These lecture notes</p></li>
<li><p><a class="reference external" href="https://youtu.be/0q5-PhovchQ">Video of lecture</a></p></li>
<li><p><a class="reference external" href="https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesOct19.pdf">Whiteboard notes</a></p></li>
<li><p><a class="reference external" href="https://github.com/CompPhysics/MachineLearning/blob/master/doc/Textbooks/TensorflowML.pdf">Aurelien Geron’s chapters 10-11</a></p></li>
<li><p>For a more in depth discussion on neural networks we recommend Goodfellow et al chapters 6 and 7.</p></li>
<li><p><a class="reference external" href="https://www.youtube.com/watch?v=bxe2T-V8XRs&amp;list=PLiaHhY2iBX9hdHaRr6b7XevZtgZRa1PoU&amp;ab_channel=WelchLabs">Neural Networks demystified</a></p></li>
@@ -1685,7 +1687,7 @@ the <em>Hadamard product</em>, meaning element-wise multiplication.</p>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Old accuracy on training data: 0.1440501043841336
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2021,7 +2023,7 @@ Lambda = 10.0
Accuracy score on test set: 0.19166666666666668
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2030,7 +2032,7 @@ Lambda = 1e-05
Accuracy score on test set: 0.10555555555555556
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2039,7 +2041,7 @@ Lambda = 0.0001
Accuracy score on test set: 0.08611111111111111
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2048,7 +2050,7 @@ Lambda = 0.001
Accuracy score on test set: 0.10555555555555556
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2057,7 +2059,7 @@ Lambda = 0.01
Accuracy score on test set: 0.08888888888888889
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2066,7 +2068,7 @@ Lambda = 0.1
Accuracy score on test set: 0.08611111111111111
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2075,7 +2077,7 @@ Lambda = 1.0
Accuracy score on test set: 0.08888888888888889
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2084,11 +2086,11 @@ Lambda = 10.0
Accuracy score on test set: 0.09166666666666666
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2097,11 +2099,11 @@ Lambda = 1e-05
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2110,11 +2112,11 @@ Lambda = 0.0001
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2123,11 +2125,11 @@ Lambda = 0.001
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2136,11 +2138,11 @@ Lambda = 0.01
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2149,7 +2151,7 @@ Lambda = 0.1
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2158,11 +2160,11 @@ Lambda = 1.0
Accuracy score on test set: 0.10555555555555556
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2171,11 +2173,11 @@ Lambda = 10.0
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2184,11 +2186,11 @@ Lambda = 1e-05
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2197,11 +2199,11 @@ Lambda = 0.0001
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2210,11 +2212,11 @@ Lambda = 0.001
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2223,11 +2225,11 @@ Lambda = 0.01
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2236,11 +2238,11 @@ Lambda = 0.1
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2249,11 +2251,11 @@ Lambda = 1.0
Accuracy score on test set: 0.07777777777777778
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:43: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:43: RuntimeWarning: overflow encountered in exp
exp_term = np.exp(self.z_o)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/1630775253.py:44: RuntimeWarning: invalid value encountered in true_divide
self.probabilities = exp_term / np.sum(exp_term, axis=1, keepdims=True)
</pre></div>
</div>
@@ -2306,15 +2308,15 @@ Accuracy score on test set: 0.07777777777777778
</div>
</div>
<div class="cell_output docutils container">
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11123/953065564.py:4: RuntimeWarning: overflow encountered in exp
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19440/953065564.py:4: RuntimeWarning: overflow encountered in exp
return 1/(1 + np.exp(-x))
</pre></div>
</div>
@@ -2618,40 +2620,39 @@ 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
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate = 1.0
Lambda = 0.0001
Lambda = 0.001
Accuracy score on test set: 0.10555555555555556
Learning rate = 1.0
Lambda = 0.001
Accuracy score on test set: 0.10555555555555556
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>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
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>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
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>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
@@ -3096,8 +3097,34 @@ Accuracy score on data set: 0.5
Learning rate = 1.0
Lambda = 1.0
Accuracy score on data set: 0.5
Learning rate = 1.0
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Learning rate =
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span> 1.0
Lambda = 10.0
Accuracy score on data set: 0.5
@@ -3130,29 +3157,7 @@ Lambda = 10.0
Accuracy score on data set: 0.5
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
/Users/mhjensen/miniforge3/envs/myenv/lib/python3.9/site-packages/sklearn/neural_network/_multilayer_perceptron.py:692: ConvergenceWarning: Stochastic Optimizer: Maximum iterations (100) reached and the optimization hasn&#39;t converged yet.
warnings.warn(
</pre></div>
</div>
<img alt="_images/week42_88_2.png" src="_images/week42_88_2.png" />
<img alt="_images/week42_88_4.png" src="_images/week42_88_4.png" />
</div>
</div>
</div>
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@@ -30,6 +30,10 @@
#
# * Building our own Feed-forward Neural Network
#
# * [Video of lecture notes](https://youtu.be/5-RRTO9uDvI)
#
# * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesOct12.pdf)
#
# * Readings and Videos:
#
# * These lecture notes
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#
# * These lecture notes
#
# * [Video of lecture](https://youtu.be/0q5-PhovchQ)
#
# * [Whiteboard notes](https://github.com/CompPhysics/MachineLearning/blob/master/doc/HandWrittenNotes/2023/NotesOct19.pdf)
#
# * [Aurelien Geron's chapters 10-11](https://github.com/CompPhysics/MachineLearning/blob/master/doc/Textbooks/TensorflowML.pdf)
#
# * For a more in depth discussion on neural networks we recommend Goodfellow et al chapters 6 and 7.
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@@ -32,6 +32,8 @@
#
# * Solving differential equations with Neural Networks and intro to **Tensorflow** with examples.
#
# * [Video of lecture](https://youtu.be/_-AwbBh4G-8)
#
# * Readings and Videos:
#
# * These lecture notes
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