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Morten Hjorth-Jensen
2024-10-21 13:45:48 +02:00
parent 0a03ba583c
commit de6a6d8bcb
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doc/LectureNotes/_build/html/week39.html
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@@ -343,6 +343,11 @@ const thebe_selector_output = ".output, .cell_output"
Week 43: Deep Learning: Constructing a Neural Network code and solving differential equations
</a>
</li>
<li class="toctree-l1">
<a class="reference internal" href="exercisesweek43.html">
Exercises week 43
</a>
</li>
</ul>
<p aria-level="2" class="caption" role="heading">
<span class="caption-text">
@@ -1822,7 +1827,7 @@ 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;mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x130ca6a60&gt;
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>&lt;mpl_toolkits.mplot3d.art3d.Poly3DCollection at 0x1220ecf70&gt;
</pre></div>
</div>
<img alt="_images/week39_82_1.png" src="_images/week39_82_1.png" />
@@ -1880,7 +1885,7 @@ 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 0x13134a100&gt;]
<div class="output text_plain highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[&lt;matplotlib.lines.Line2D at 0x122eac100&gt;]
</pre></div>
</div>
<img alt="_images/week39_90_1.png" src="_images/week39_90_1.png" />
@@ -2174,11 +2179,11 @@ when <span class="math notranslate nohighlight">\(||\nabla_\beta C(\beta_k) || \
</div>
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<div class="cell_output docutils container">
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Eigenvalues of Hessian Matrix:[0.33357783 4.08691139]
[[3.94040981]
[2.96332346]]
[[3.94040981]
[2.96332346]]
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Eigenvalues of Hessian Matrix:[0.2823954 4.41825413]
[[3.80708727]
[3.19057517]]
[[3.80708727]
[3.19057517]]
</pre></div>
</div>
<img alt="_images/week39_153_1.png" src="_images/week39_153_1.png" />
@@ -2209,9 +2214,9 @@ 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>[[4.33718234]
[2.67555087]]
[4.32262934] [2.68074588]
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[3.93061247]
[3.05485826]]
[3.94361404] [3.09345236]
</pre></div>
</div>
</div>
@@ -2311,11 +2316,11 @@ minimum of this function.</p>
</div>
</div>
<div class="cell_output docutils container">
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Eigenvalues of Hessian Matrix:[0.29716773 4.6565507 ]
[[3.75592582]
[3.18603548]]
[[3.75409398]
[3.18750351]]
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Eigenvalues of Hessian Matrix:[0.28261591 4.24106633]
[[4.11425439]
[2.70819495]]
[[4.11313433]
[2.70917646]]
</pre></div>
</div>
<img alt="_images/week39_166_1.png" src="_images/week39_166_1.png" />
@@ -2429,7 +2434,7 @@ minimum of this function.</p>
&gt;29 f([0.00115631]) = 0.00000
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_87566/394505933.py:33: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_94310/394505933.py:33: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
print(&#39;&gt;%d f(%s) = %.5f&#39; % (i, solution, solution_eval))
</pre></div>
</div>
@@ -2540,7 +2545,7 @@ minimum of this function.</p>
&gt;29 f([6.17748881e-07]) = 0.00000
</pre></div>
</div>
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_87566/476849792.py:39: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_94310/476849792.py:39: DeprecationWarning: Conversion of an array with ndim &gt; 0 to a scalar is deprecated, and will error in future. Ensure you extract a single element from your array before performing this operation. (Deprecated NumPy 1.25.)
print(&#39;&gt;%d f(%s) = %.5f&#39; % (i, solution, solution_eval))
</pre></div>
</div>
@@ -3605,13 +3610,11 @@ Eigenvalues of Hessian Matrix:[0.31248425 4.44418124]
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own gd
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[3.94499279]
[[3.94499279]
[3.03306538]]
</pre></div>
</div>
<img alt="_images/week39_263_3.png" src="_images/week39_263_3.png" />
<img alt="_images/week39_263_2.png" src="_images/week39_263_2.png" />
</div>
</div>
</div>
@@ -3900,14 +3903,18 @@ beta from own Newton code
[[4.0586484]
[3.0718316]]
Eigenvalues of Hessian Matrix:[0.29860173 3.8931686 ]
theta from own gd
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own gd
[[4.0586484]
[3.0718316]]
</pre></div>
</div>
<img alt="_images/week39_269_1.png" src="_images/week39_269_1.png" />
<img alt="_images/week39_269_2.png" src="_images/week39_269_2.png" />
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own sdg
[[4.02496085]
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[4.02496085]
[3.12081773]]
</pre></div>
</div>
@@ -3996,9 +4003,7 @@ Eigenvalues of Hessian Matrix:[0.27470622 4.24106503]
theta from own gd
[[3.95906059]
[3.02296298]]
</pre></div>
</div>
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>theta from own sdg with momentum
theta from own sdg with momentum
[[3.95611042]
[2.99475306]]
</pre></div>