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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/chapteroptimization.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">
@@ -1047,11 +1057,11 @@ which equals</p>
</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_31672/483257001.py:18: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_11016/483257001.py:18: MatplotlibDeprecationWarning: Calling gca() with keyword arguments was deprecated in Matplotlib 3.4. Starting two minor releases later, gca() will take no keyword arguments. The gca() function should only be used to get the current axes, or if no axes exist, create new axes with default keyword arguments. To create a new axes with non-default arguments, use plt.axes() or plt.subplot().
ax = fig.gca(projection=&quot;3d&quot;)
</pre></div>
</div>
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x1183f2640&gt;
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x122d2e790&gt;
</pre></div>
</div>
<img alt="_images/chapteroptimization_61_2.png" src="_images/chapteroptimization_61_2.png" />
@@ -1109,7 +1119,7 @@ which equals</p>
</div>
</div>
<div class="cell_output docutils container">
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x118c9b1c0&gt;]
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x12334c310&gt;]
</pre></div>
</div>
<img alt="_images/chapteroptimization_69_1.png" src="_images/chapteroptimization_69_1.png" />
@@ -1366,11 +1376,11 @@ when <span class="math notranslate nohighlight">\(||\nabla_\beta C(\beta_k) || \
</div>
</div>
<div class="cell_output docutils container">
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[0.29633889 4.15119514]
[[3.90793019]
[3.18761375]]
[[3.90793019]
[3.18761375]]
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[0.27637358 4.69167569]
[[4.08692465]
[2.84462849]]
[[4.08692465]
[2.84462849]]
</pre></div>
</div>
<img alt="_images/chapteroptimization_123_1.png" src="_images/chapteroptimization_123_1.png" />
@@ -1399,9 +1409,9 @@ when <span class="math notranslate nohighlight">\(||\nabla_\beta C(\beta_k) || \
</div>
</div>
<div class="cell_output docutils container">
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[3.96783837]
[3.23305112]]
[3.95982273] [3.21682143]
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[4.17086577]
[2.92317667]]
[4.14538257] [2.90670236]
</pre></div>
</div>
</div>
@@ -1472,10 +1482,10 @@ C_{\text{ridge}}(\beta) = \frac{1}{n}||X\beta -\mathbf{y}||^2 + \lambda ||\beta|
</div>
</div>
<div class="cell_output docutils container">
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[3.91619855]
[3.20101684]]
[[3.85813693]
[3.24679418]]
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[4.11027723]
[2.92805329]]
[[4.04931542]
[2.97504526]]
</pre></div>
</div>
<img alt="_images/chapteroptimization_132_1.png" src="_images/chapteroptimization_132_1.png" />
@@ -1725,15 +1735,15 @@ function.</p>
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<div class="cell_output docutils container">
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Own inversion
[[3.70224083]
[3.16389131]]
Eigenvalues of Hessian Matrix:[0.29022057 4.66510547]
[[3.22532324]
[3.44210664]]
Eigenvalues of Hessian Matrix:[0.30012384 4.62464344]
theta from own gd
[[3.70224083]
[3.16389131]]
[[3.22532324]
[3.44210664]]
theta from own sdg
[[3.67541155]
[3.1532465 ]]
[[3.17736035]
[3.48289037]]
</pre></div>
</div>
<img alt="_images/chapteroptimization_148_1.png" src="_images/chapteroptimization_148_1.png" />