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mhjensen
2018-10-04 05:35:51 +02:00
parent ff08e04b6e
commit 0c44eedada
64 changed files with 1948 additions and 2013 deletions
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doc/pub/NeuralNet/html/._NeuralNet-bs015.html
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@@ -110,20 +110,19 @@ Automatically generated HTML file from DocOnce source
('Improving performance', 2, None, '___sec44'),
('Full object-oriented implementation', 2, None, '___sec45'),
('Evaluate model performance on test data', 2, None, '___sec46'),
('Adjust hyperparameters (if necessary, network architecture',
2,
None,
'___sec47'),
('scikit-learn implementation', 2, None, '___sec48'),
('Adjust hyperparameters', 2, None, '___sec47'),
('Visualization', 2, None, '___sec48'),
('scikit-learn implementation', 2, None, '___sec49'),
('Visualization', 2, None, '___sec50'),
('Building neural networks in Tensorflow and Keras',
2,
None,
'___sec49'),
('Tensorflow', 2, None, '___sec50'),
('Collect and pre-process data', 2, None, '___sec51'),
('Using TensorFlow backend', 2, None, '___sec52'),
('Optimizing and using gradient descent', 2, None, '___sec53'),
('Using Keras', 2, None, '___sec54')]}
'___sec51'),
('Tensorflow', 2, None, '___sec52'),
('Collect and pre-process data', 2, None, '___sec53'),
('Using TensorFlow backend', 2, None, '___sec54'),
('Optimizing and using gradient descent', 2, None, '___sec55'),
('Using Keras', 2, None, '___sec56')]}
end of tocinfo -->
<body>
@@ -208,14 +207,16 @@ MathJax.Hub.Config({
<!-- navigation toc: --> <li><a href="._NeuralNet-bs045.html#___sec44" style="font-size: 80%;"><b>Improving performance</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs046.html#___sec45" style="font-size: 80%;"><b>Full object-oriented implementation</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs047.html#___sec46" style="font-size: 80%;"><b>Evaluate model performance on test data</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs048.html#___sec47" style="font-size: 80%;"><b>Adjust hyperparameters (if necessary, network architecture</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs049.html#___sec48" style="font-size: 80%;"><b>scikit-learn implementation</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs050.html#___sec49" style="font-size: 80%;"><b>Building neural networks in Tensorflow and Keras</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs051.html#___sec50" style="font-size: 80%;"><b>Tensorflow</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs052.html#___sec51" style="font-size: 80%;"><b>Collect and pre-process data</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs053.html#___sec52" style="font-size: 80%;"><b>Using TensorFlow backend</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs054.html#___sec53" style="font-size: 80%;"><b>Optimizing and using gradient descent</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs055.html#___sec54" style="font-size: 80%;"><b>Using Keras</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs048.html#___sec47" style="font-size: 80%;"><b>Adjust hyperparameters</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs049.html#___sec48" style="font-size: 80%;"><b>Visualization</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs050.html#___sec49" style="font-size: 80%;"><b>scikit-learn implementation</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs051.html#___sec50" style="font-size: 80%;"><b>Visualization</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs052.html#___sec51" style="font-size: 80%;"><b>Building neural networks in Tensorflow and Keras</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs053.html#___sec52" style="font-size: 80%;"><b>Tensorflow</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs054.html#___sec53" style="font-size: 80%;"><b>Collect and pre-process data</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs055.html#___sec54" style="font-size: 80%;"><b>Using TensorFlow backend</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs056.html#___sec55" style="font-size: 80%;"><b>Optimizing and using gradient descent</b></a></li>
<!-- navigation toc: --> <li><a href="._NeuralNet-bs057.html#___sec56" style="font-size: 80%;"><b>Using Keras</b></a></li>
</ul>
</li>
@@ -244,7 +245,7 @@ is the bias \( b_i^l \) and activation \( y_i^l \) of node \( i \) in layer \( l
<p>
We have that \( \mathrm{W}_l \) is an \( N_{l-1} \times N_l \) matrix, while \( \hat{b}_l \) and \( \hat{y}_l \) are \( N_l \times 1 \) column vectors.
With this notation, the sum becomes a matrix-vector multiplication, and we can write
the equation for the activations of hidden layer 2 as
the equation for the activations of hidden layer 2 (assuming three nodes for simplicity) as
$$
\begin{equation}
\hat{y}_2 = f_2(\mathrm{W}_2 \hat{y}_{1} + \hat{b}_{2}) =
@@ -293,7 +294,7 @@ $$
<li><a href="._NeuralNet-bs023.html">24</a></li>
<li><a href="._NeuralNet-bs024.html">25</a></li>
<li><a href="">...</a></li>
<li><a href="._NeuralNet-bs055.html">56</a></li>
<li><a href="._NeuralNet-bs057.html">58</a></li>
<li><a href="._NeuralNet-bs016.html">&raquo;</a></li>
</ul>
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