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Morten Hjorth-Jensen
2023-10-15 21:55:49 +02:00
parent cb5ab447ad
commit edf33b439c
171 changed files with 18722 additions and 1691 deletions
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doc/LectureNotes/_build/html/week37.html
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@@ -313,6 +313,26 @@ const thebe_selector_output = ".output, .cell_output"
Week 40: Gradient descent methods (continued) and start Neural networks
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<a class="reference internal" href="exercisesweek41.html">
Exercises week 41
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Week 41 Neural networks and constructing a neural network code
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<a class="reference internal" href="exercisesweek42.html">
Exercises week 42
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<a class="reference internal" href="week42.html">
Week 42 Constructing a Neural Network code with introduction to Tensor flow
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<p aria-level="2" class="caption" role="heading">
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@@ -325,6 +345,11 @@ const thebe_selector_output = ".output, .cell_output"
Project 1 on Machine Learning, deadline October 9 (midnight), 2023
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Project 2 on Machine Learning, deadline November 13 (Midnight)
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@@ -1792,7 +1817,7 @@ theorem.</p>
<div class="cell_output docutils container">
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Bootstrap Statistics :
original bias std. error
99.8182 15.0632 99.8197 0.152701
100.115 15.1213 100.117 0.151517
</pre></div>
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@@ -2027,14 +2052,14 @@ Error: 0.06844519414009445
Bias^2: 0.06453579006728322
Var: 0.003909404072811221
0.06844519414009445 &gt;= 0.06453579006728322 + 0.003909404072811221 = 0.06844519414009444
Polynomial degree: 5
</pre></div>
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Polynomial degree: 5
Error: 0.05227921801205679
Bias^2: 0.04818727730430286
Var: 0.004091940707753925
0.05227921801205679 &gt;= 0.04818727730430286 + 0.004091940707753925 = 0.05227921801205679
</pre></div>
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Polynomial degree: 6
Polynomial degree: 6
Error: 0.03781367141738902
Bias^2: 0.03365768507152769
Var: 0.0041559863458613296
@@ -2049,9 +2074,7 @@ Error: 0.017355848195593312
Bias^2: 0.010331721306655165
Var: 0.007024126888938144
0.017355848195593312 &gt;= 0.010331721306655165 + 0.007024126888938144 = 0.01735584819559331
</pre></div>
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Polynomial degree: 9
Polynomial degree: 9
Error: 0.026605727637184558
Bias^2: 0.010018312644139219
Var: 0.016587414993045335
@@ -2066,19 +2089,23 @@ Error: 0.07160048164232538
Bias^2: 0.014436800088896381
Var: 0.05716368155342902
0.07160048164232538 &gt;= 0.014436800088896381 + 0.05716368155342902 = 0.0716004816423254
Polynomial degree: 12
</pre></div>
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Polynomial degree: 12
Error: 0.11547777218876518
Bias^2: 0.016285782696017142
Var: 0.09919198949274803
0.11547777218876518 &gt;= 0.016285782696017142 + 0.09919198949274803 = 0.11547777218876518
Polynomial degree: 13
</pre></div>
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Polynomial degree: 13
Error: 0.2284246870217162
Bias^2: 0.01975416527168255
Var: 0.20867052175003364
0.2284246870217162 &gt;= 0.01975416527168255 + 0.20867052175003364 = 0.2284246870217162
</pre></div>
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<img alt="_images/week37_162_3.png" src="_images/week37_162_3.png" />
<img alt="_images/week37_162_4.png" src="_images/week37_162_4.png" />
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@@ -2531,9 +2558,9 @@ Mean squared error on training data: 0.00063862
Mean squared error on test data: 3073.63180447
</pre></div>
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19367/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31736/626635268.py:73: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(trainingerror), label=&#39;Training Error&#39;)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_19367/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31736/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(testerror), label=&#39;Test Error&#39;)
</pre></div>
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@@ -2618,7 +2645,7 @@ Mean squared error on test data: 3073.63180447
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<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_19367/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31736/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(estimated_mse_sklearn), label=&#39;Test Error&#39;)
</pre></div>
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