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@@ -343,6 +343,16 @@ const thebe_selector_output = ".output, .cell_output"
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Week 43: Deep Learning: Constructing a Neural Network code and solving differential equations
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</a>
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</li>
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<li class="toctree-l1">
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<a class="reference internal" href="week44.html">
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Week 44, Convolutional Neural Networks (CNN)
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</a>
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</li>
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<li class="toctree-l1">
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<a class="reference internal" href="week45.html">
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Week 45, Recurrent Neural Networks
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</a>
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</li>
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</ul>
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<p aria-level="2" class="caption" role="heading">
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<span class="caption-text">
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@@ -1325,10 +1335,10 @@ covariance matrix through the <strong>np.linalg.eig()</strong> function.</p>
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</div>
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</div>
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<div class="cell_output docutils container">
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>0.023888460698069384
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4.161573669199933
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[[0.708589 2.01323615]
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[2.01323615 6.75406265]]
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>0.07752620206774397
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4.3068687590657415
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[[1.01031184 2.85759522]
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[2.85759522 9.0542566 ]]
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</pre></div>
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</div>
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</div>
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@@ -1365,10 +1375,10 @@ a more brute force way. Here we scale the mean values for each column of the des
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</div>
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</div>
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<div class="cell_output docutils container">
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>0.08737007811453563
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1.792898603630095
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[[1. 0.65673455]
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[0.65673455 1. ]]
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>0.07472152457534222
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1.4560786541572335
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[[1. 0.61219726]
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[0.61219726 1. ]]
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</pre></div>
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</div>
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</div>
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@@ -1398,30 +1408,30 @@ this matrix we easily see that it is a positive definite matrix.</p>
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</div>
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</div>
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<div class="cell_output docutils container">
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[ 0.1036544 0.17432695]
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[ 0.51758232 1.25700419]
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[-1.37236385 -4.22805937]
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[-0.46766277 -1.52501047]
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[ 0.99175336 3.59187177]
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[-2.34718587 -5.3512747 ]
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[ 1.94980712 6.99450177]
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[ 0.24849282 -0.56424167]
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[-0.35408251 -2.3930301 ]
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[ 0.73000497 2.04391163]]
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span>[[-0.59265811 -0.57943748]
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[ 0.08641073 0.06656566]
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[-0.68596176 -2.59060904]
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[ 0.47558206 1.64482901]
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[ 0.21597684 -0.67723533]
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[ 1.22935165 5.02293408]
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[-0.51249881 -3.38478181]
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[ 0.29220202 1.35149796]
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[ 0.10955639 0.86177342]
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[-0.61796102 -1.71553646]]
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0 1
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0 0.103654 0.174327
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1 0.517582 1.257004
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2 -1.372364 -4.228059
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3 -0.467663 -1.525010
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4 0.991753 3.591872
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5 -2.347186 -5.351275
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6 1.949807 6.994502
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7 0.248493 -0.564242
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8 -0.354083 -2.393030
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9 0.730005 2.043912
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0 -0.592658 -0.579437
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1 0.086411 0.066566
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2 -0.685962 -2.590609
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3 0.475582 1.644829
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4 0.215977 -0.677235
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5 1.229352 5.022934
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6 -0.512499 -3.384782
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7 0.292202 1.351498
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8 0.109556 0.861773
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9 -0.617961 -1.715536
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0 1
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0 1.000000 0.966337
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1 0.966337 1.000000
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0 1.000000 0.921567
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1 0.921567 1.000000
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</pre></div>
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</div>
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</div>
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@@ -1478,37 +1488,37 @@ this matrix we easily see that it is a positive definite matrix.</p>
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<div class="cell_output docutils container">
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<div class="output stream highlight-myst-ansi notranslate"><div class="highlight"><pre><span></span> 0 1 2 3 4 5 6 7 \
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0 0.0 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
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1 0.0 0.084489 0.079202 0.083269 0.079700 0.076331 0.074355 0.071456
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2 0.0 0.079202 0.075352 0.079849 0.077042 0.074328 0.072527 0.070086
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3 0.0 0.083269 0.079849 0.087761 0.084946 0.082203 0.081779 0.079170
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4 0.0 0.079700 0.077042 0.084946 0.082590 0.080248 0.079820 0.077517
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5 0.0 0.076331 0.074328 0.082203 0.080248 0.078258 0.077833 0.075804
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6 0.0 0.074355 0.072527 0.081779 0.079820 0.077833 0.078423 0.076337
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7 0.0 0.071456 0.070086 0.079170 0.077517 0.075804 0.076337 0.074477
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8 0.0 0.068743 0.067765 0.076678 0.075294 0.073824 0.074307 0.072650
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9 0.0 0.066200 0.065559 0.074301 0.073154 0.071901 0.072338 0.070865
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10 0.0 0.065631 0.064814 0.074306 0.072976 0.071564 0.072718 0.071080
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11 0.0 0.063225 0.062696 0.071960 0.070845 0.069629 0.070705 0.069239
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12 0.0 0.060971 0.060691 0.069733 0.068809 0.067769 0.068771 0.067462
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13 0.0 0.058856 0.058793 0.067619 0.066865 0.065984 0.066919 0.065753
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14 0.0 0.056870 0.056996 0.065613 0.065012 0.064275 0.065147 0.064113
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1 0.0 0.079330 0.084471 0.080541 0.081753 0.082306 0.073011 0.072990
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2 0.0 0.084471 0.092487 0.087280 0.089513 0.090777 0.079391 0.079777
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3 0.0 0.080541 0.087280 0.087211 0.088900 0.089752 0.082231 0.082329
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4 0.0 0.081753 0.089513 0.088900 0.091023 0.092206 0.083848 0.084164
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5 0.0 0.082306 0.090777 0.089752 0.092206 0.093657 0.084672 0.085172
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6 0.0 0.073011 0.079391 0.082231 0.083848 0.084672 0.079611 0.079715
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7 0.0 0.072990 0.079777 0.082329 0.084164 0.085172 0.079715 0.079958
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8 0.0 0.072802 0.079892 0.082196 0.084212 0.085382 0.079597 0.079964
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9 0.0 0.072527 0.079854 0.081937 0.084110 0.085425 0.079353 0.079836
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10 0.0 0.064985 0.070571 0.075171 0.076586 0.077304 0.074181 0.074265
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11 0.0 0.064627 0.070400 0.074809 0.076355 0.077194 0.073842 0.074026
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12 0.0 0.064245 0.070170 0.074403 0.076066 0.077017 0.073458 0.073736
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13 0.0 0.063864 0.069919 0.073987 0.075758 0.076814 0.073063 0.073431
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14 0.0 0.063500 0.069672 0.073582 0.075454 0.076612 0.072676 0.073131
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8 9 10 11 12 13 14
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0 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000 0.000000
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1 0.068743 0.066200 0.065631 0.063225 0.060971 0.058856 0.056870
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2 0.067765 0.065559 0.064814 0.062696 0.060691 0.058793 0.056996
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3 0.076678 0.074301 0.074306 0.071960 0.069733 0.067619 0.065613
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4 0.075294 0.073154 0.072976 0.070845 0.068809 0.066865 0.065012
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5 0.073824 0.071901 0.071564 0.069629 0.067769 0.065984 0.064275
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6 0.074307 0.072338 0.072718 0.070705 0.068771 0.066919 0.065147
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7 0.072650 0.070865 0.071080 0.069239 0.067462 0.065753 0.064113
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8 0.071008 0.069391 0.069456 0.067774 0.066143 0.064568 0.063051
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9 0.069391 0.067929 0.067859 0.066323 0.064827 0.063378 0.061977
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10 0.069456 0.067859 0.068437 0.066752 0.065119 0.063542 0.062023
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11 0.067774 0.066323 0.066752 0.065207 0.063705 0.062250 0.060845
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12 0.066143 0.064827 0.065119 0.063705 0.062325 0.060983 0.059685
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13 0.064568 0.063378 0.063542 0.062250 0.060983 0.059749 0.058550
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14 0.063051 0.061977 0.062023 0.060845 0.059685 0.058550 0.057446
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1 0.072802 0.072527 0.064985 0.064627 0.064245 0.063864 0.063500
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2 0.079892 0.079854 0.070571 0.070400 0.070170 0.069919 0.069672
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3 0.082196 0.081937 0.075171 0.074809 0.074403 0.073987 0.073582
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4 0.084212 0.084110 0.076586 0.076355 0.076066 0.075758 0.075454
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5 0.085382 0.085425 0.077304 0.077194 0.077017 0.076814 0.076612
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6 0.079597 0.079353 0.074181 0.073842 0.073458 0.073063 0.072676
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7 0.079964 0.079836 0.074265 0.074026 0.073736 0.073431 0.073131
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8 0.080086 0.080069 0.074152 0.074008 0.073810 0.073592 0.073378
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9 0.080069 0.080157 0.073929 0.073876 0.073766 0.073635 0.073504
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10 0.074152 0.073929 0.070129 0.069821 0.069475 0.069119 0.068771
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11 0.074008 0.073876 0.069821 0.069595 0.069327 0.069048 0.068774
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12 0.073810 0.073766 0.069475 0.069327 0.069136 0.068931 0.068731
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13 0.073592 0.073635 0.069119 0.069048 0.068931 0.068800 0.068671
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14 0.073378 0.073504 0.068771 0.068774 0.068731 0.068671 0.068612
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</pre></div>
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</div>
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</div>
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