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adding dft slides

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Morten Hjorth-Jensen
2023-10-25 15:38:49 +02:00
parent 248fa398fc
commit 9587aff02c
142 changed files with 2211 additions and 3328 deletions
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doc/LectureNotes/_build/html/week37.html
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@@ -333,6 +333,16 @@ const thebe_selector_output = ".output, .cell_output"
Week 42 Constructing a Neural Network code with introduction to Tensor flow
</a>
</li>
<li class="toctree-l1">
<a class="reference internal" href="exercisesweek43.html">
Exercises weeks 43 and 44
</a>
</li>
<li class="toctree-l1">
<a class="reference internal" href="week43.html">
Week 43: Deep Learning: Constructing a Neural Network code and solving differential equations
</a>
</li>
</ul>
<p aria-level="2" class="caption" role="heading">
<span class="caption-text">
@@ -1817,7 +1827,7 @@ 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
100.115 15.1213 100.117 0.151517
99.9889 15.1336 99.9892 0.150749
</pre></div>
</div>
</div>
@@ -2079,7 +2089,9 @@ Error: 0.026605727637184558
Bias^2: 0.010018312644139219
Var: 0.016587414993045335
0.026605727637184558 &gt;= 0.010018312644139219 + 0.016587414993045335 = 0.026605727637184554
Polynomial degree: 10
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Polynomial degree: 10
Error: 0.021592704588021178
Bias^2: 0.010516485576646504
Var: 0.01107621901137467
@@ -2089,23 +2101,19 @@ Error: 0.07160048164232538
Bias^2: 0.014436800088896381
Var: 0.05716368155342902
0.07160048164232538 &gt;= 0.014436800088896381 + 0.05716368155342902 = 0.0716004816423254
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Polynomial degree: 12
Polynomial degree: 12
Error: 0.11547777218876518
Bias^2: 0.016285782696017142
Var: 0.09919198949274803
0.11547777218876518 &gt;= 0.016285782696017142 + 0.09919198949274803 = 0.11547777218876518
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Polynomial degree: 13
Polynomial degree: 13
Error: 0.2284246870217162
Bias^2: 0.01975416527168255
Var: 0.20867052175003364
0.2284246870217162 &gt;= 0.01975416527168255 + 0.20867052175003364 = 0.2284246870217162
</pre></div>
</div>
<img alt="_images/week37_162_4.png" src="_images/week37_162_4.png" />
<img alt="_images/week37_162_3.png" src="_images/week37_162_3.png" />
</div>
</div>
</div>
@@ -2558,9 +2566,9 @@ Mean squared error on training data: 0.00063862
Mean squared error on test data: 3073.63180447
</pre></div>
</div>
<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
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11090/626635268.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_31736/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11090/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(testerror), label=&#39;Test Error&#39;)
</pre></div>
</div>
@@ -2645,7 +2653,7 @@ Mean squared error on test data: 3073.63180447
</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_31736/3817475779.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_11090/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(estimated_mse_sklearn), label=&#39;Test Error&#39;)
</pre></div>
</div>