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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="prerequisites"> <span id="prerequisites"></span><h2>Prerequisites<a class="headerlink" href="#prerequisites" title="Permalink to this headline">¶</a></h2> <p>To complete this tutorial, we need:</p> <ul class="simple"> <li>to compile the latest MXNet version. See the MXNet installation instructions for your operating system in <a class="reference external" href="/versions/0.11.0/get_started/install.html">Setup and Installation</a>.</li> <li>to compile the Scala API. See Scala API build instructions in <a class="reference external" href="https://github.com/dmlc/mxnet/tree/0.11.0/scala-package">Build</a>.</li> </ul> </div> <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/0.11.0/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">argmax_channel</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> </div> <p>Check out more MXNet Scala examples below.</p> </div> <div class="section" id="next-steps"> <span id="next-steps"></span><h2>Next Steps<a class="headerlink" href="#next-steps" title="Permalink to this headline">¶</a></h2> <div class="toctree-wrapper compound"> <ul> <li class="toctree-l1"><a class="reference external" href="/versions/0.11.0/api/scala/">Scala API</a></li> <li class="toctree-l1"><a class="reference external" href="https://github.com/dmlc/mxnet/tree/0.11.0/scala-package/examples/">More Scala Examples</a></li> <li class="toctree-l1"><a class="reference external" href="/versions/0.11.0/tutorials/index.html">MXNet tutorials index</a></li> </ul> </div> </div> </div> </div> </div> <div aria-label="main navigation" class="sphinxsidebar rightsidebar" role="navigation"> <div class="sphinxsidebarwrapper"> <h3><a href="../../index.html">Table Of Contents</a></h3> <ul> <li><a class="reference internal" href="#">Handwritten Digit Recognition</a><ul> <li><a class="reference internal" href="#prerequisites">Prerequisites</a></li> <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> <li><a class="reference internal" href="#next-steps">Next Steps</a></li> </ul> </li> </ul> </div> </div> </div><div class="footer"> <div class="section-disclaimer"> <div class="container"> <div> <img height="60" 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Incubation is required of all newly accepted projects until a further review indicates that the infrastructure, communications, and decision making process have stabilized in a manner consistent with other successful ASF projects. While incubation status is not necessarily a reflection of the completeness or stability of the code, it does indicate that the project has yet to be fully endorsed by the ASF. </p> <p> "Copyright © 2017-2018, The Apache Software Foundation Apache MXNet, MXNet, Apache, the Apache feather, and the Apache MXNet project logo are either registered trademarks or trademarks of the Apache Software Foundation." </p> </div> </div> </div> </div> <!-- pagename != index --> </div> <script crossorigin="anonymous" integrity="sha384-0mSbJDEHialfmuBBQP6A4Qrprq5OVfW37PRR3j5ELqxss1yVqOtnepnHVP9aJ7xS" src="https://maxcdn.bootstrapcdn.com/bootstrap/3.3.6/js/bootstrap.min.js"></script> <script src="../../_static/js/sidebar.js" type="text/javascript"></script> <script src="../../_static/js/search.js" type="text/javascript"></script> <script src="../../_static/js/navbar.js" type="text/javascript"></script> <script src="../../_static/js/clipboard.min.js" type="text/javascript"></script> <script src="../../_static/js/copycode.js" type="text/javascript"></script> <script src="../../_static/js/page.js" type="text/javascript"></script> <script src="../../_static/js/docversion.js" type="text/javascript"></script> <script type="text/javascript"> $('body').ready(function () { $('body').css('visibility', 'visible'); }); </script> </body> </html>