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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/chapter3.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">
@@ -869,10 +879,10 @@ number <span class="math notranslate nohighlight">\(i\)</span> is left out. Usin
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Runtime: 0.136236 sec
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Runtime: 0.134565 sec
Jackknife Statistics :
original bias std. error
99.979 99.969 0.14845
100.2 100.19 0.146591
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@@ -1091,7 +1101,7 @@ theorem.</p>
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Bootstrap Statistics :
original bias std. error
99.8342 14.8306 99.8351 0.14857
99.9919 15.0954 99.9924 0.150989
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@@ -1313,14 +1323,14 @@ Error: 0.06844519414009445
Bias^2: 0.06453579006728322
Var: 0.003909404072811221
0.06844519414009445 &gt;= 0.06453579006728322 + 0.003909404072811221 = 0.06844519414009444
Polynomial degree: 5
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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
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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
@@ -1640,12 +1650,12 @@ Mean squared error on test data: 1371.99051150
Degree of polynomial: 20
Mean squared error on training data: 0.00137818
Mean squared error on test data: 1887.86252988
Degree of polynomial: 21
Mean squared error on training data: 0.00118508
Mean squared error on test data: 14859.69908626
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Degree of polynomial: 22
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Degree of polynomial: 21
Mean squared error on training data: 0.00118508
Mean squared error on test data: 14859.69908626
Degree of polynomial: 22
Mean squared error on training data: 0.00092647
Mean squared error on test data: 876.51191552
Degree of polynomial: 23
@@ -1660,12 +1670,12 @@ Mean squared error on test data: 128664.31650694
Degree of polynomial: 26
Mean squared error on training data: 0.00076905
Mean squared error on test data: 19003.94822514
Degree of polynomial: 27
Mean squared error on training data: 0.00068946
Mean squared error on test data: 2379.66219404
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Degree of polynomial: 28
<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>Degree of polynomial: 27
Mean squared error on training data: 0.00068946
Mean squared error on test data: 2379.66219404
Degree of polynomial: 28
Mean squared error on training data: 0.00062595
Mean squared error on test data: 4082.19983530
Degree of polynomial: 29
@@ -1673,9 +1683,9 @@ Mean squared error on training data: 0.00060705
Mean squared error on test data: 3250.17647619
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31624/626635268.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_10962/626635268.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_31624/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/626635268.py:74: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(testerror), label=&#39;Test Error&#39;)
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@@ -1909,7 +1919,7 @@ cross-validation (LOOCV).</p>
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/3817475779.py:63: RuntimeWarning: divide by zero encountered in log10
plt.plot(polynomial, np.log10(estimated_mse_sklearn), label=&#39;Test Error&#39;)
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@@ -2798,9 +2808,9 @@ linear system as an equation would reduce this down to
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31624/4162706317.py:6: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/4162706317.py:6: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.
cb = fig.colorbar(im)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31624/4162706317.py:7: UserWarning: FixedFormatter should only be used together with FixedLocator
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/4162706317.py:7: UserWarning: FixedFormatter should only be used together with FixedLocator
cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)
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@@ -2944,9 +2954,9 @@ with the form utilized in linear regression, viz.</p>
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/3777801602.py:6: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.
cb = fig.colorbar(im)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31624/3777801602.py:7: UserWarning: FixedFormatter should only be used together with FixedLocator
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/3777801602.py:7: UserWarning: FixedFormatter should only be used together with FixedLocator
cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)
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@@ -2986,9 +2996,9 @@ cost function is given by</p>
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31624/438060758.py:9: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/438060758.py:9: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.
cb = fig.colorbar(im)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31624/438060758.py:10: UserWarning: FixedFormatter should only be used together with FixedLocator
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/438060758.py:10: UserWarning: FixedFormatter should only be used together with FixedLocator
cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)
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@@ -3023,9 +3033,9 @@ cost function is given by</p>
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<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31624/3544313922.py:8: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.
<div class="output stderr highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/3544313922.py:8: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.
cb = fig.colorbar(im)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31624/3544313922.py:9: UserWarning: FixedFormatter should only be used together with FixedLocator
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/3544313922.py:9: UserWarning: FixedFormatter should only be used together with FixedLocator
cb.ax.set_yticklabels(cb.ax.get_yticklabels(), fontsize=18)
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@@ -3078,43 +3088,43 @@ constant as opposed to ridge and OLS. We get a sparse solution with
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model = cd_fast.enet_coordinate_descent(
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@@ -3261,9 +3271,9 @@ which polynomial fits the data best.</p>
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ax = fig.gca(projection=&#39;3d&#39;)
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_31624/3980313467.py:37: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.
/var/folders/td/3yk470mj5p931p9dtkk0y6jw0000gn/T/ipykernel_10962/3980313467.py:37: MatplotlibDeprecationWarning: Auto-removal of grids by pcolor() and pcolormesh() is deprecated since 3.5 and will be removed two minor releases later; please call grid(False) first.
fig.colorbar(surf, shrink=0.5, aspect=5)
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