updated typos
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@@ -110,20 +110,19 @@ Automatically generated HTML file from DocOnce source
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('Improving performance', 2, None, '___sec44'),
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('Full object-oriented implementation', 2, None, '___sec45'),
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('Evaluate model performance on test data', 2, None, '___sec46'),
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('Adjust hyperparameters (if necessary, network architecture',
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2,
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None,
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'___sec47'),
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('scikit-learn implementation', 2, None, '___sec48'),
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('Adjust hyperparameters', 2, None, '___sec47'),
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('Visualization', 2, None, '___sec48'),
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('scikit-learn implementation', 2, None, '___sec49'),
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('Visualization', 2, None, '___sec50'),
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('Building neural networks in Tensorflow and Keras',
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2,
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None,
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'___sec49'),
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('Tensorflow', 2, None, '___sec50'),
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('Collect and pre-process data', 2, None, '___sec51'),
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('Using TensorFlow backend', 2, None, '___sec52'),
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('Optimizing and using gradient descent', 2, None, '___sec53'),
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('Using Keras', 2, None, '___sec54')]}
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'___sec51'),
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('Tensorflow', 2, None, '___sec52'),
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('Collect and pre-process data', 2, None, '___sec53'),
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('Using TensorFlow backend', 2, None, '___sec54'),
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('Optimizing and using gradient descent', 2, None, '___sec55'),
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('Using Keras', 2, None, '___sec56')]}
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end of tocinfo -->
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<body>
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@@ -208,14 +207,16 @@ MathJax.Hub.Config({
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs045.html#___sec44" style="font-size: 80%;"><b>Improving performance</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs046.html#___sec45" style="font-size: 80%;"><b>Full object-oriented implementation</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs047.html#___sec46" style="font-size: 80%;"><b>Evaluate model performance on test data</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs048.html#___sec47" style="font-size: 80%;"><b>Adjust hyperparameters (if necessary, network architecture</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs049.html#___sec48" style="font-size: 80%;"><b>scikit-learn implementation</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs050.html#___sec49" style="font-size: 80%;"><b>Building neural networks in Tensorflow and Keras</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs051.html#___sec50" style="font-size: 80%;"><b>Tensorflow</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs052.html#___sec51" style="font-size: 80%;"><b>Collect and pre-process data</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs053.html#___sec52" style="font-size: 80%;"><b>Using TensorFlow backend</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs054.html#___sec53" style="font-size: 80%;"><b>Optimizing and using gradient descent</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs055.html#___sec54" style="font-size: 80%;"><b>Using Keras</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs048.html#___sec47" style="font-size: 80%;"><b>Adjust hyperparameters</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs049.html#___sec48" style="font-size: 80%;"><b>Visualization</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs050.html#___sec49" style="font-size: 80%;"><b>scikit-learn implementation</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs051.html#___sec50" style="font-size: 80%;"><b>Visualization</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs052.html#___sec51" style="font-size: 80%;"><b>Building neural networks in Tensorflow and Keras</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs053.html#___sec52" style="font-size: 80%;"><b>Tensorflow</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs054.html#___sec53" style="font-size: 80%;"><b>Collect and pre-process data</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs055.html#___sec54" style="font-size: 80%;"><b>Using TensorFlow backend</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs056.html#___sec55" style="font-size: 80%;"><b>Optimizing and using gradient descent</b></a></li>
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<!-- navigation toc: --> <li><a href="._NeuralNet-bs057.html#___sec56" style="font-size: 80%;"><b>Using Keras</b></a></li>
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</ul>
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</li>
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@@ -252,7 +253,7 @@ $$
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<p>
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This is an important expression. The second term on the right handside
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measures how fast the cost is changing as a function of the $j$th
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measures how fast the cost function is changing as a function of the $j$th
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output activation. If, for example, the cost function doesn't depend
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much on a particular output node \( j \), then \( \delta_j^L \) will be small,
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which is what we would expect. The first term on the right, measures
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@@ -264,9 +265,9 @@ Notice that everything in the above equations is easily computed. In
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particular, we compute \( z_j^L \) while computing the behaviour of the
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network, and it is only a small additional overhead to compute
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\( f'(z^L_j) \). The exact form of the derivative with respect to the
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outpuwill, of course, depend on the form of the cost function.
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output depends on the form of the cost function.
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However, provided the cost function is known there should be little
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trouble computing
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trouble in calculating
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$$
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\frac{\partial {\cal C}}{\partial (a_j^L)}
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@@ -304,7 +305,7 @@ $$
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<li><a href="._NeuralNet-bs034.html">35</a></li>
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<li><a href="._NeuralNet-bs035.html">36</a></li>
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<li><a href="">...</a></li>
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<li><a href="._NeuralNet-bs055.html">56</a></li>
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<li><a href="._NeuralNet-bs057.html">58</a></li>
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<li><a href="._NeuralNet-bs027.html">»</a></li>
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</ul>
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<!-- ------------------- end of main content --------------- -->
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