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<a class="navbar-brand" href="week44-bs.html">Week 44, Convolutional Neural Networks (CNN)</a>
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<!-- navigation toc: --> <li><a href="._week44-bs001.html#plan-for-week-44" style="font-size: 80%;"><b>Plan for week 44</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs002.html#lab-sessions-on-tuesday-and-wednesday" style="font-size: 80%;"><b>Lab sessions on Tuesday and Wednesday</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs003.html#material-for-lecture-monday-october-28" style="font-size: 80%;"><b>Material for Lecture Monday October 28</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs004.html#convolutional-neural-networks-recognizing-images" style="font-size: 80%;"><b>Convolutional Neural Networks (recognizing images)</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs005.html#what-is-the-difference" style="font-size: 80%;"><b>What is the Difference</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs006.html#neural-networks-vs-cnns" style="font-size: 80%;"><b>Neural Networks vs CNNs</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs007.html#why-cnns-for-images-sound-files-medical-images-from-ct-scans-etc" style="font-size: 80%;"><b>Why CNNS for images, sound files, medical images from CT scans etc?</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs008.html#regular-nns-don-t-scale-well-to-full-images" style="font-size: 80%;"><b>Regular NNs dont scale well to full images</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs009.html#3d-volumes-of-neurons" style="font-size: 80%;"><b>3D volumes of neurons</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs010.html#more-on-dimensionalities" style="font-size: 80%;"><b>More on Dimensionalities</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs011.html#further-remarks" style="font-size: 80%;"><b>Further remarks</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs012.html#layers-used-to-build-cnns" style="font-size: 80%;"><b>Layers used to build CNNs</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs013.html#transforming-images" style="font-size: 80%;"><b>Transforming images</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs014.html#cnns-in-brief" style="font-size: 80%;"><b>CNNs in brief</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs015.html#a-deep-cnn-model-from-raschka-et-al-https-github-com-rasbt-machine-learning-book" style="font-size: 80%;"><b>A deep CNN model ("From Raschka et al":"https://github.com/rasbt/machine-learning-book")</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs016.html#key-idea" style="font-size: 80%;"><b>Key Idea</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs017.html#mathematics-of-cnns" style="font-size: 80%;"><b>Mathematics of CNNs</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs018.html#convolution-examples-polynomial-multiplication" style="font-size: 80%;"><b>Convolution Examples: Polynomial multiplication</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs019.html#efficient-polynomial-multiplication" style="font-size: 80%;"><b>Efficient Polynomial Multiplication</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs020.html#further-simplification" style="font-size: 80%;"><b>Further simplification</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs021.html#a-more-efficient-way-of-coding-the-above-convolution" style="font-size: 80%;"><b>A more efficient way of coding the above Convolution</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs022.html#fourier-series-and-toeplitz-matrices" style="font-size: 80%;"><b>Fourier series and Toeplitz matrices</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs023.html#generalizing-the-above-one-dimensional-case" style="font-size: 80%;"><b>Generalizing the above one-dimensional case</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs023.html#two-dimensional-objects" style="font-size: 80%;"><b>Two-dimensional Objects</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs024.html#cnns-in-more-detail" style="font-size: 80%;"><b>CNNs in more detail</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs025.html#performing-a-discrete-convolution-with-padding-from-raschka-et-al-https-github-com-rasbt-machine-learning-book" style="font-size: 80%;"><b>Performing a discrete convolution with padding ("From Raschka et al":"https://github.com/rasbt/machine-learning-book")</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs026.html#performing-a-general-discrete-convolution-from-raschka-et-al-https-github-com-rasbt-machine-learning-book" style="font-size: 80%;"><b>Performing a general discrete convolution ("From Raschka et al":"https://github.com/rasbt/machine-learning-book")</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs027.html#set-of-filters" style="font-size: 80%;"><b>Set of filters</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs028.html#pooling" style="font-size: 80%;"><b>Pooling</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs029.html#no-zero-padding-unit-strides" style="font-size: 80%;"><b>No zero padding, unit strides</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs030.html#zero-padding-unit-strides" style="font-size: 80%;"><b>Zero padding, unit strides</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs031.html#half-same-padding" style="font-size: 80%;"><b>Half (same) padding</b></a></li>
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<!-- navigation toc: --> <li><a href="._week44-bs033.html#pooling-arithmetic" style="font-size: 80%;"><b>Pooling arithmetic</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs034.html#pooling-types-from-raschka-et-al-https-github-com-rasbt-machine-learning-book" style="font-size: 80%;"><b>Pooling types ("From Raschka et al":"https://github.com/rasbt/machine-learning-book")</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#building-our-own-cnn-code" style="font-size: 80%;"><b>Building our own CNN code</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#list-of-contents" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;List of contents:</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#schedulers" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Schedulers</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#usage-of-schedulers" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Usage of schedulers</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#cost-functions" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Cost functions</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#usage-of-cost-functions" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Usage of cost functions</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#activation-functions" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Activation functions</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#usage-of-activation-functions" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Usage of activation functions</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#convolution" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Convolution</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#layers" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Layers</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#convolution2dlayer-convolution-in-a-hidden-layer" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Convolution2DLayer: convolution in a hidden layer</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#backpropagation-in-the-convolutional-layer" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Backpropagation in the convolutional layer</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#demonstration" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Demonstration</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#pooling-layer" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Pooling Layer</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#flattening-layer" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Flattening Layer</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#fully-connected-layers" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Fully Connected Layers</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#optimized-convolution2dlayer" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Optimized Convolution2DLayer</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#the-convolutional-neural-network-cnn" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;The Convolutional Neural Network (CNN)</a></li>
<!-- navigation toc: --> <li><a href="._week44-bs035.html#usage-of-cnn-code" style="font-size: 80%;">&nbsp;&nbsp;&nbsp;Usage of CNN code</a></li>
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<!-- navigation toc: --> <li><a href="._week44-bs036.html#building-convolutional-neural-networks-in-tensorflow-and-keras" style="font-size: 80%;"><b>Building convolutional neural networks in Tensorflow and Keras</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs037.html#setting-it-up" style="font-size: 80%;"><b>Setting it up</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs038.html#the-mnist-dataset-again" style="font-size: 80%;"><b>The MNIST dataset again</b></a></li>
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<!-- navigation toc: --> <li><a href="._week44-bs042.html#prerequisites-collect-and-pre-process-data" style="font-size: 80%;"><b>Prerequisites: Collect and pre-process data</b></a></li>
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<!-- navigation toc: --> <li><a href="._week44-bs045.html#final-part" style="font-size: 80%;"><b>Final part</b></a></li>
<!-- navigation toc: --> <li><a href="._week44-bs046.html#final-visualization" style="font-size: 80%;"><b>Final visualization</b></a></li>
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<h1>Week 44, Convolutional Neural Networks (CNN)</h1>
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<!-- author(s): Morten Hjorth-Jensen -->
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<b>Morten Hjorth-Jensen</b> [1, 2]
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[1] <b>Department of Physics, University of Oslo</b>
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[2] <b>Department of Physics and Astronomy and National Superconducting Cyclotron Laboratory, Michigan State University</b>
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<h4>October 28-November 1 </h4>
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