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<div class="section" id="handwritten-digit-recognition">
<span id="handwritten-digit-recognition"></span><h1>Handwritten Digit Recognition<a class="headerlink" href="#handwritten-digit-recognition" title="Permalink to this headline"></a></h1>
<p>This Scala tutorial guides you through a classic computer vision application: identifying hand written digits.</p>
<p>Let’s train a 3-layer network (i.e multilayer perceptron network) on the MNIST dataset to classify handwritten digits.</p>
<div class="section" id="define-the-network">
<span id="define-the-network"></span><h2>Define the Network<a class="headerlink" href="#define-the-network" title="Permalink to this headline"></a></h2>
<p>First, define the neural network’s architecture using the Symbol API:</p>
<div class="highlight-scala"><div class="highlight"><pre><span></span><span class="k">import</span> <span class="nn">ml.dmlc.mxnet._</span>
<span class="k">import</span> <span class="nn">ml.dmlc.mxnet.optimizer.SGD</span>
<span class="c1">// model definition</span>
<span class="k">val</span> <span class="n">data</span> <span class="k">=</span> <span class="nc">Symbol</span><span class="o">.</span><span class="nc">Variable</span><span class="o">(</span><span class="s">"data"</span><span class="o">)</span>
<span class="k">val</span> <span class="n">fc1</span> <span class="k">=</span> <span class="nc">Symbol</span><span class="o">.</span><span class="nc">FullyConnected</span><span class="o">(</span><span class="n">name</span> <span class="k">=</span> <span class="s">"fc1"</span><span class="o">)()(</span><span class="nc">Map</span><span class="o">(</span><span class="s">"data"</span> <span class="o">-></span> <span class="n">data</span><span class="o">,</span> <span class="s">"num_hidden"</span> <span class="o">-></span> <span class="mi">128</span><span class="o">))</span>
<span class="k">val</span> <span class="n">act1</span> <span class="k">=</span> <span class="nc">Symbol</span><span class="o">.</span><span class="nc">Activation</span><span class="o">(</span><span class="n">name</span> <span class="k">=</span> <span class="s">"relu1"</span><span class="o">)()(</span><span class="nc">Map</span><span class="o">(</span><span class="s">"data"</span> <span class="o">-></span> <span class="n">fc1</span><span class="o">,</span> <span class="s">"act_type"</span> <span class="o">-></span> <span class="s">"relu"</span><span class="o">))</span>
<span class="k">val</span> <span class="n">fc2</span> <span class="k">=</span> <span class="nc">Symbol</span><span class="o">.</span><span class="nc">FullyConnected</span><span class="o">(</span><span class="n">name</span> <span class="k">=</span> <span class="s">"fc2"</span><span class="o">)()(</span><span class="nc">Map</span><span class="o">(</span><span class="s">"data"</span> <span class="o">-></span> <span class="n">act1</span><span class="o">,</span> <span class="s">"num_hidden"</span> <span class="o">-></span> <span class="mi">64</span><span class="o">))</span>
<span class="k">val</span> <span class="n">act2</span> <span class="k">=</span> <span class="nc">Symbol</span><span class="o">.</span><span class="nc">Activation</span><span class="o">(</span><span class="n">name</span> <span class="k">=</span> <span class="s">"relu2"</span><span class="o">)()(</span><span class="nc">Map</span><span class="o">(</span><span class="s">"data"</span> <span class="o">-></span> <span class="n">fc2</span><span class="o">,</span> <span class="s">"act_type"</span> <span class="o">-></span> <span class="s">"relu"</span><span class="o">))</span>
<span class="k">val</span> <span class="n">fc3</span> <span class="k">=</span> <span class="nc">Symbol</span><span class="o">.</span><span class="nc">FullyConnected</span><span class="o">(</span><span class="n">name</span> <span class="k">=</span> <span class="s">"fc3"</span><span class="o">)()(</span><span class="nc">Map</span><span class="o">(</span><span class="s">"data"</span> <span class="o">-></span> <span class="n">act2</span><span class="o">,</span> <span class="s">"num_hidden"</span> <span class="o">-></span> <span class="mi">10</span><span class="o">))</span>
<span class="k">val</span> <span class="n">mlp</span> <span class="k">=</span> <span class="nc">Symbol</span><span class="o">.</span><span class="nc">SoftmaxOutput</span><span class="o">(</span><span class="n">name</span> <span class="k">=</span> <span class="s">"sm"</span><span class="o">)()(</span><span class="nc">Map</span><span class="o">(</span><span class="s">"data"</span> <span class="o">-></span> <span class="n">fc3</span><span class="o">))</span>
</pre></div>
</div>
</div>
<div class="section" id="load-the-data">
<span id="load-the-data"></span><h2>Load the Data<a class="headerlink" href="#load-the-data" title="Permalink to this headline"></a></h2>
<p>Then, load the training and validation data using DataIterators.</p>
<p>You can download the MNIST data using the <a class="reference external" href="https://github.com/dmlc/mxnet/blob/master/scala-package/core/scripts/get_mnist_data.sh">get_mnist_data script</a>. We’ve already written a DataIterator for the MNIST dataset:</p>
<div class="highlight-scala"><div class="highlight"><pre><span></span><span class="c1">// load MNIST dataset</span>
<span class="k">val</span> <span class="n">trainDataIter</span> <span class="k">=</span> <span class="nc">IO</span><span class="o">.</span><span class="nc">MNISTIter</span><span class="o">(</span><span class="nc">Map</span><span class="o">(</span>
<span class="s">"image"</span> <span class="o">-></span> <span class="s">"data/train-images-idx3-ubyte"</span><span class="o">,</span>
<span class="s">"label"</span> <span class="o">-></span> <span class="s">"data/train-labels-idx1-ubyte"</span><span class="o">,</span>
<span class="s">"data_shape"</span> <span class="o">-></span> <span class="s">"(1, 28, 28)"</span><span class="o">,</span>
<span class="s">"label_name"</span> <span class="o">-></span> <span class="s">"sm_label"</span><span class="o">,</span>
<span class="s">"batch_size"</span> <span class="o">-></span> <span class="s">"50"</span><span class="o">,</span>
<span class="s">"shuffle"</span> <span class="o">-></span> <span class="s">"1"</span><span class="o">,</span>
<span class="s">"flat"</span> <span class="o">-></span> <span class="s">"0"</span><span class="o">,</span>
<span class="s">"silent"</span> <span class="o">-></span> <span class="s">"0"</span><span class="o">,</span>
<span class="s">"seed"</span> <span class="o">-></span> <span class="s">"10"</span><span class="o">))</span>
<span class="k">val</span> <span class="n">valDataIter</span> <span class="k">=</span> <span class="nc">IO</span><span class="o">.</span><span class="nc">MNISTIter</span><span class="o">(</span><span class="nc">Map</span><span class="o">(</span>
<span class="s">"image"</span> <span class="o">-></span> <span class="s">"data/t10k-images-idx3-ubyte"</span><span class="o">,</span>
<span class="s">"label"</span> <span class="o">-></span> <span class="s">"data/t10k-labels-idx1-ubyte"</span><span class="o">,</span>
<span class="s">"data_shape"</span> <span class="o">-></span> <span class="s">"(1, 28, 28)"</span><span class="o">,</span>
<span class="s">"label_name"</span> <span class="o">-></span> <span class="s">"sm_label"</span><span class="o">,</span>
<span class="s">"batch_size"</span> <span class="o">-></span> <span class="s">"50"</span><span class="o">,</span>
<span class="s">"shuffle"</span> <span class="o">-></span> <span class="s">"1"</span><span class="o">,</span>
<span class="s">"flat"</span> <span class="o">-></span> <span class="s">"0"</span><span class="o">,</span> <span class="s">"silent"</span> <span class="o">-></span> <span class="s">"0"</span><span class="o">))</span>
</pre></div>
</div>
</div>
<div class="section" id="train-the-model">
<span id="train-the-model"></span><h2>Train the model<a class="headerlink" href="#train-the-model" title="Permalink to this headline"></a></h2>
<p>We can use the FeedForward builder to train our network:</p>
<div class="highlight-scala"><div class="highlight"><pre><span></span><span class="c1">// setup model and fit the training data</span>
<span class="k">val</span> <span class="n">model</span> <span class="k">=</span> <span class="nc">FeedForward</span><span class="o">.</span><span class="n">newBuilder</span><span class="o">(</span><span class="n">mlp</span><span class="o">)</span>
<span class="o">.</span><span class="n">setContext</span><span class="o">(</span><span class="nc">Context</span><span class="o">.</span><span class="n">cpu</span><span class="o">())</span>
<span class="o">.</span><span class="n">setNumEpoch</span><span class="o">(</span><span class="mi">10</span><span class="o">)</span>
<span class="o">.</span><span class="n">setOptimizer</span><span class="o">(</span><span class="k">new</span> <span class="nc">SGD</span><span class="o">(</span><span class="n">learningRate</span> <span class="k">=</span> <span class="mf">0.1f</span><span class="o">,</span> <span class="n">momentum</span> <span class="k">=</span> <span class="mf">0.9f</span><span class="o">,</span> <span class="n">wd</span> <span class="k">=</span> <span class="mf">0.0001f</span><span class="o">))</span>
<span class="o">.</span><span class="n">setTrainData</span><span class="o">(</span><span class="n">trainDataIter</span><span class="o">)</span>
<span class="o">.</span><span class="n">setEvalData</span><span class="o">(</span><span class="n">valDataIter</span><span class="o">)</span>
<span class="o">.</span><span class="n">build</span><span class="o">()</span>
</pre></div>
</div>
</div>
<div class="section" id="make-predictions">
<span id="make-predictions"></span><h2>Make predictions<a class="headerlink" href="#make-predictions" title="Permalink to this headline"></a></h2>
<p>Finally, let’s make predictions against the validation dataset and compare the predicted labels with the real labels.</p>
<div class="highlight-scala"><div class="highlight"><pre><span></span><span class="k">val</span> <span class="n">probArrays</span> <span class="k">=</span> <span class="n">model</span><span class="o">.</span><span class="n">predict</span><span class="o">(</span><span class="n">valDataIter</span><span class="o">)</span>
<span class="c1">// in this case, we do not have multiple outputs</span>
<span class="n">require</span><span class="o">(</span><span class="n">probArrays</span><span class="o">.</span><span class="n">length</span> <span class="o">==</span> <span class="mi">1</span><span class="o">)</span>
<span class="k">val</span> <span class="n">prob</span> <span class="k">=</span> <span class="n">probArrays</span><span class="o">(</span><span class="mi">0</span><span class="o">)</span>
<span class="c1">// get real labels</span>
<span class="k">import</span> <span class="nn">scala.collection.mutable.ListBuffer</span>
<span class="n">valDataIter</span><span class="o">.</span><span class="n">reset</span><span class="o">()</span>
<span class="k">val</span> <span class="n">labels</span> <span class="k">=</span> <span class="nc">ListBuffer</span><span class="o">.</span><span class="n">empty</span><span class="o">[</span><span class="kt">NDArray</span><span class="o">]</span>
<span class="k">while</span> <span class="o">(</span><span class="n">valDataIter</span><span class="o">.</span><span class="n">hasNext</span><span class="o">)</span> <span class="o">{</span>
<span class="k">val</span> <span class="n">evalData</span> <span class="k">=</span> <span class="n">valDataIter</span><span class="o">.</span><span class="n">next</span><span class="o">()</span>
<span class="n">labels</span> <span class="o">+=</span> <span class="n">evalData</span><span class="o">.</span><span class="n">label</span><span class="o">(</span><span class="mi">0</span><span class="o">).</span><span class="n">copy</span><span class="o">()</span>
<span class="o">}</span>
<span class="k">val</span> <span class="n">y</span> <span class="k">=</span> <span class="nc">NDArray</span><span class="o">.</span><span class="n">concatenate</span><span class="o">(</span><span class="n">labels</span><span class="o">)</span>
<span class="c1">// get predicted labels</span>
<span class="k">val</span> <span class="n">predictedY</span> <span class="k">=</span> <span class="nc">NDArray</span><span class="o">.</span><span class="n">argmaxChannel</span><span class="o">(</span><span class="n">prob</span><span class="o">)</span>
<span class="n">require</span><span class="o">(</span><span class="n">y</span><span class="o">.</span><span class="n">shape</span> <span class="o">==</span> <span class="n">predictedY</span><span class="o">.</span><span class="n">shape</span><span class="o">)</span>
<span class="c1">// calculate accuracy</span>
<span class="k">var</span> <span class="n">numCorrect</span> <span class="k">=</span> <span class="mi">0</span>
<span class="k">var</span> <span class="n">numTotal</span> <span class="k">=</span> <span class="mi">0</span>
<span class="k">for</span> <span class="o">((</span><span class="n">labelElem</span><span class="o">,</span> <span class="n">predElem</span><span class="o">)</span> <span class="k"><-</span> <span class="n">y</span><span class="o">.</span><span class="n">toArray</span> <span class="n">zip</span> <span class="n">predictedY</span><span class="o">.</span><span class="n">toArray</span><span class="o">)</span> <span class="o">{</span>
<span class="k">if</span> <span class="o">(</span><span class="n">labelElem</span> <span class="o">==</span> <span class="n">predElem</span><span class="o">)</span> <span class="o">{</span>
<span class="n">numCorrect</span> <span class="o">+=</span> <span class="mi">1</span>
<span class="o">}</span>
<span class="n">numTotal</span> <span class="o">+=</span> <span class="mi">1</span>
<span class="o">}</span>
<span class="k">val</span> <span class="n">acc</span> <span class="k">=</span> <span class="n">numCorrect</span><span class="o">.</span><span class="n">toFloat</span> <span class="o">/</span> <span class="n">numTotal</span>
<span class="n">println</span><span class="o">(</span><span class="s">s"Final accuracy = </span><span class="si">$acc</span><span class="s">"</span><span class="o">)</span>
</pre></div>
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<ul>
<li><a class="reference internal" href="#">Handwritten Digit Recognition</a><ul>
<li><a class="reference internal" href="#define-the-network">Define the Network</a></li>
<li><a class="reference internal" href="#load-the-data">Load the Data</a></li>
<li><a class="reference internal" href="#train-the-model">Train the model</a></li>
<li><a class="reference internal" href="#make-predictions">Make predictions</a></li>
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