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[Convolutional Neural Networks] week2. Deep convolutional models: case studies
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<time datetime="2017-11-22T00:00:00+01:00"><i class="fa fa-calendar"></i> Wed, 22 Nov 2017</time>
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<span class="label label-default">Series</span>
Part 11 of «Andrew Ng Deep Learning MOOC»
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目录
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<div id="toc"><ul><li><a class="toc-href" href="#i-case-studies" title="I-Case studies">I-Case studies</a><ul><li><a class="toc-href" href="#why-look-at-case-studies" title="Why look at case studies?">Why look at case studies?</a></li><li><a class="toc-href" href="#classic-networks" title="Classic Networks">Classic Networks</a></li><li><a class="toc-href" href="#resnets" title="ResNets">ResNets</a></li><li><a class="toc-href" href="#why-resnets-work" title="Why ResNets Work">Why ResNets Work</a></li><li><a class="toc-href" href="#networks-in-networks-and-1x1-convolutions" title="Networks in Networks and 1x1 Convolutions">Networks in Networks and 1x1 Convolutions</a></li><li><a class="toc-href" href="#inception-network-motivation" title="Inception Network Motivation">Inception Network Motivation</a></li></ul></li><li><a class="toc-href" href="#computation-11192-282816-5516-282832-124m_2" title="computation = 11192 * 282816 + 5516 * 282832 = 12.4M">computation = 11192 * 282816 + 5516 * 282832 = 12.4M</a><ul><li><a class="toc-href" href="#inception-network" title="Inception Network">Inception Network</a></li><li><a class="toc-href" href="#ii-practical-advice-for-using-convnets_1" title="II-Practical advice for using ConvNets">II-Practical advice for using ConvNets</a><ul><li><a class="toc-href" href="#using-open-source-implementation" title="Using Open-Source Implementation">Using Open-Source Implementation</a></li><li><a class="toc-href" href="#transfer-learning" title="Transfer Learning">Transfer Learning</a></li><li><a class="toc-href" href="#data-augmentation" title="Data Augmentation">Data Augmentation</a></li><li><a class="toc-href" href="#state-of-computer-vision" title="State of Computer Vision">State of Computer Vision</a></li></ul></li></ul></li></ul></div>
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</div>
<h2 id="i-case-studies">I-Case studies</h2>
<h3 id="why-look-at-case-studies">Why look at case studies?</h3>
<p>Good way to get intuition of different component of CNN: case study & reading paper.<br/>
<strong>Outline</strong> </p>
<ul>
<li>classic networks: <ul>
<li>LeNet-5 </li>
<li>AlexNet </li>
<li>VGG </li>
</ul>
</li>
<li>ResNet (152-layer NN) </li>
<li>Inception </li>
</ul>
<h3 id="classic-networks">Classic Networks</h3>
<p><strong>LeNet-5</strong>(1998)<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image002.png"/><br/>
Goal: recognize hand-written digits.<br/>
image → 2 CONV-MEANPOOL layers, all CONV are valid (without padding) → 2 FC → softmax<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image.png"/><br/>
takeaway (patterns still used today): </p>
<ul>
<li>as go deeper, n_H, n_W goes down, n_C goes up </li>
<li>conv-pool repeated some times, then FC-FC-output </li>
</ul>
<p>sidenote: </p>
<ul>
<li>used sigmoid/tanh as activation, instead of ReLU. </li>
<li>has non-linearity after pooling </li>
<li>orignial paper hard to read </li>
</ul>
<p><strong>AlexNet</strong><br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image006.png"/><br/>
Same pattern: conv-maxpool layers → FC layers → softmax<br/>
but much more params.<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image004.png"/><br/>
sidenote: </p>
<ul>
<li>use ReLU as activation </li>
<li>multi-GPU training </li>
<li>"local response normalization" (LRN): normalize across all channels (not widely used today). </li>
<li>a lot hparams to pick </li>
</ul>
<p><strong>VGG-16</strong><br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image007.png"/><br/>
Much less hparams:<br/>
All <strong>CONV: 3<em>3,s=1,padding=same, MAXPOOL: 2</em>2,s=2</strong><br/>
→ e.g. "(CONV 64) * 2" meaning 2 conv layers (3*3,s=1,padding=same) of 64 channels.<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image008.png"/> </p>
<p>note: </p>
<ul>
<li>pretty large even by modern standard: 138M params </li>
<li>simplicity in architecture: POOL reduce n_H/n_W by 2 each time; CONV n_C=64->128->256->512 (increase by 2), very systematic. </li>
</ul>
<h3 id="resnets">ResNets</h3>
<p>Very deep NN are hard to train → ResNet: <em>skip connections</em>, to be able to train ~100 layers NN. </p>
<p><strong>Residual block</strong><br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image012.png"/><br/>
Normal NN: from a[l] to a[l+2], two linear & ReLU operations. <em>"main path"</em>.<br/>
ResNet: a[l] taks shortcut and <em>goes directly to a[l+2]'s non-linearity</em>. "<em>shortcut</em>" / "<em>skip connection</em>".<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image010.png"/><br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image009.png"/><br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image039.png"/> </p>
<p>Using residual block allows training <em>very deep</em> NN:<br/>
stack them to get ResNet (i.e. add shortcuts to "plain" NN). </p>
<p><img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image013.png"/> </p>
<p>Problem of training plain NN: <em>training error goes up (in practice) when having deeper NN</em>.<br/>
Because deeper NN are harder to train (vanishing/exploding gradients, etc.)<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image016.png"/><br/>
With ResNet: training error goes down even with deeper layers.<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image015.png"/> </p>
<h3 id="why-resnets-work">Why ResNets Work</h3>
<div class="highlight"><pre><span class="code-line"><span></span><span class="n">a</span><span class="o">[</span><span class="n">l+2</span><span class="o">]</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">g</span><span class="p">(</span><span class="n">z</span><span class="o">[</span><span class="n">l+2</span><span class="o">]</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">a</span><span class="o">[</span><span class="n">l</span><span class="o">]</span><span class="p">)</span><span class="w"> </span></span>
<span class="code-line"><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">g</span><span class="p">(</span><span class="n">w</span><span class="o">[</span><span class="n">l+1</span><span class="o">]</span><span class="w"> </span><span class="o">*</span><span class="w"> </span><span class="n">a</span><span class="o">[</span><span class="n">l+1</span><span class="o">]</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">b</span><span class="o">[</span><span class="n">l+1</span><span class="o">]</span><span class="w"> </span><span class="o">+</span><span class="w"> </span><span class="n">a</span><span class="o">[</span><span class="n">l</span><span class="o">]</span><span class="p">)</span><span class="w"></span></span>
</pre></div>
<p>→ note: when applying weight decay, w can be small (w~=0, b~=0)<br/>
⇒ a[l+2] ~= g(a[l]) = a[l] (assume g=ReLU)<br/>
⇒ it's easy to get a[l+2]=a[l], i.e. <em>identity function from a[l] to a[l+2] is easily learned</em><br/>
→ whereas in plain NN, it's difficult to learn an identity function between layers, thus more layers make result <em>worse</em><br/>
→ adding 2 layers doesn't hurt the network to learn a shallower NN's function, i.e. performance is not hurt when increasing #layers.<br/>
→ when necessary can do even better than learning identity function<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image017.png"/> </p>
<p>Side note: </p>
<ul>
<li><code>z[l+2]</code> and <code>a[l]</code> have the same dimension (so that they can be added in g) → i.e. many "same" padding are used to preserve dimension. </li>
<li>If their dimensions are not matched (e.g. for pooling layers) → add extra <code>w_s</code> to be applied on <code>a[l]</code>. </li>
</ul>
<p><img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image018.png"/> </p>
<p><img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image019.png"/> </p>
<h3 id="networks-in-networks-and-1x1-convolutions">Networks in Networks and 1x1 Convolutions</h3>
<p><img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image021.png"/><br/>
Using 1*1 conv: for one single channel, just multiply the input image(slice) by a constant...<br/>
But for >1 channels: each output number is inner prod of input channel "slice" and conv filter. </p>
<p><img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image020.png"/> </p>
<p>1<em>1 conv: ~= fully-connected layer applied to each of n_H</em>n_W slices, adds non-linearity to NN.<br/>
→ 1<em>1 conv also called "</em>network in network*" </p>
<p>example:<br/>
To <em>shrink</em> #channels via 1*1 conv.<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image022.png"/> </p>
<h3 id="inception-network-motivation">Inception Network Motivation</h3>
<p><img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image023.png"/><br/>
Instead of choosing filter size, <em>do them all in parallel.</em><br/>
note: use SAME padding & stride=1 to have the same n_H, n_W<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image024.png"/> </p>
<p>Problem: computation cost.<br/>
example: input shape = 28<em>28</em>192, filter 5<em>5</em>192, 32 filters, output shape = 28<em>28</em>32<br/>
totoal #multiplication = 28 * 28 * 32 * 5 * 5 * 192 = 120M<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image025.png"/><br/>
→ <strong>reduce #computation with 1*1 conv</strong><br/>
Reduce n_C of input by 1<em>1 conv ("bottleneck-layer") before doing the 5</em>5 conv. </p>
<h1 id="computation-11192-282816-5516-282832-124m_2">computation = 1<em>1</em>192 * 28<em>28</em>16 + 5<em>5</em>16 * 28<em>28</em>32 = 12.4M</h1>
<p><img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image027.png"/><br/>
Does bottleneck layer hurt model performance ? → no. </p>
<h3 id="inception-network">Inception Network</h3>
<p><strong>Inception module</strong>:<br/>
For max pooling layer, out n_C equals input n_C → <em>use a 1</em>1 conv to shrink n_C*.<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image028.png"/> </p>
<p><strong>Inception network:</strong> </p>
<ul>
<li>Putting inception modules together. </li>
<li>Have <em>side branches</em>: taking hidden layer and feed to FC for output. </li>
</ul>
<p>— ensure features from hidden units at intermediate layers are not too bad for prediction — kind of regularization<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image030.png"/> </p>
<p>The name "inception" come from: a meme...<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image031.png"/> </p>
<h2 id="ii-practical-advice-for-using-convnets_1">II-Practical advice for using ConvNets</h2>
<p>Advices on how to use these classical CNN models. </p>
<h3 id="using-open-source-implementation">Using Open-Source Implementation</h3>
<p>Difficult to replicate the work just from paper: a lot of details&hparams<br/>
→ use open-sourced version. </p>
<h3 id="transfer-learning">Transfer Learning</h3>
<p>Download weights of other's NN as pretrained params.<br/>
→ pretrained params are trained on huge datasets, and takes weeks to train on multiple GPUs.<br/>
example: cat detector </p>
<ul>
<li>3 class: tigger/misty/neither </li>
<li>training set at hand is small </li>
<li>→ download both code and weights online </li>
</ul>
<p>e.g. ImageNet NN<br/>
→ change last layer's softmax<br/>
→ all Conv/Pool layers set <em>frozen</em> (not trainable)<br/>
→ only training softmax layer's weight with training set.<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image032.png"/><br/>
OR:<br/>
<em>Precompute</em> the hidden layer (fixed function mapping from x to feature vector) and save to disk.<br/>
→ train a shallow model on top. → save computation. </p>
<p>If have a large training set at hand ⇒ freeze a few layers and train the rest.<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image033.png"/> </p>
<p>If have a <em>huge</em> dataset: train the whole NN. </p>
<h3 id="data-augmentation">Data Augmentation</h3>
<p>More data are alway welcome.<br/>
<strong>Common augmentation method</strong>: </p>
<ul>
<li>Mirroring </li>
<li>Randome cropping </li>
<li>Rotation/Shearing/Local warping: used a bit less in practice </li>
<li>Color shifting </li>
</ul>
<p><img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image035.png"/><br/>
In practice: shifts drawn from some random distribution.<br/>
e.g. PCA-color-augmentation (details in AlexNet paper): ~keep overall color the same. </p>
<p><strong>Implementaing distortions during training</strong><br/>
If data is huge → CPU thread to get <em>stream</em> of images → add distortion for each image → form minibatch of data → pass to training.<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image036.png"/> </p>
<h3 id="state-of-computer-vision">State of Computer Vision</h3>
<p>Observations for DL for CV. </p>
<p><strong>Data VS. hand-engineering</strong><br/>
As more data are available → simpler algo, less hand-engineering.<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image037.png"/><br/>
Learing algo has 2 sources of knowledge: </p>
<ul>
<li>labeled data </li>
<li>hand engineered features / network architecture / specialized components </li>
</ul>
<p>Transfer learning can help when dataset is small. </p>
<p><strong>Tips for doing well on benchmarks/winning competitions</strong> </p>
<ul>
<li>Ensembling: </li>
</ul>
<p>Train several(3~15) NN independently, then <em>average their outputs</em>. </p>
<ul>
<li><em>Multi-crop at test time</em> </li>
</ul>
<p>Predict on multiple versions of test images and average results.<br/>
e.g. 10-crop at test time<br/>
<img alt="" class="img-responsive" src="../images/Ng_DLMooc_c4wk2/pasted_image038.png"/> </p>
</div>
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<div id="toc"><ul><li><a class="toc-href" href="#i-case-studies" title="I-Case studies">I-Case studies</a><ul><li><a class="toc-href" href="#why-look-at-case-studies" title="Why look at case studies?">Why look at case studies?</a></li><li><a class="toc-href" href="#classic-networks" title="Classic Networks">Classic Networks</a></li><li><a class="toc-href" href="#resnets" title="ResNets">ResNets</a></li><li><a class="toc-href" href="#why-resnets-work" title="Why ResNets Work">Why ResNets Work</a></li><li><a class="toc-href" href="#networks-in-networks-and-1x1-convolutions" title="Networks in Networks and 1x1 Convolutions">Networks in Networks and 1x1 Convolutions</a></li><li><a class="toc-href" href="#inception-network-motivation" title="Inception Network Motivation">Inception Network Motivation</a></li></ul></li><li><a class="toc-href" href="#computation-11192-282816-5516-282832-124m_2" title="computation = 11192 * 282816 + 5516 * 282832 = 12.4M">computation = 11192 * 282816 + 5516 * 282832 = 12.4M</a><ul><li><a class="toc-href" href="#inception-network" title="Inception Network">Inception Network</a></li><li><a class="toc-href" href="#ii-practical-advice-for-using-convnets_1" title="II-Practical advice for using ConvNets">II-Practical advice for using ConvNets</a><ul><li><a class="toc-href" href="#using-open-source-implementation" title="Using Open-Source Implementation">Using Open-Source Implementation</a></li><li><a class="toc-href" href="#transfer-learning" title="Transfer Learning">Transfer Learning</a></li><li><a class="toc-href" href="#data-augmentation" title="Data Augmentation">Data Augmentation</a></li><li><a class="toc-href" href="#state-of-computer-vision" title="State of Computer Vision">State of Computer Vision</a></li></ul></li></ul></li></ul></div>
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