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<h1 class="post-title">Callback Function</h1>
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<h1 id="callback-function">Callback Function</h1>
<p>This tutorial provides guidelines for using and writing callback functions,
which can very useful in model training.</p>
<h2 id="model-training-example">Model Training Example</h2>
<p>Let&#39;s begin with a small example. We can build and train a model with the following code:</p>
<div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">library</span><span class="p">(</span><span class="n">mxnet</span><span class="p">)</span><span class="w">
</span><span class="n">data</span><span class="p">(</span><span class="n">BostonHousing</span><span class="p">,</span><span class="w"> </span><span class="n">package</span><span class="o">=</span><span class="s2">"mlbench"</span><span class="p">)</span><span class="w">
</span><span class="n">train.ind</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">seq</span><span class="p">(</span><span class="m">1</span><span class="p">,</span><span class="w"> </span><span class="m">506</span><span class="p">,</span><span class="w"> </span><span class="m">3</span><span class="p">)</span><span class="w">
</span><span class="n">train.x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">data.matrix</span><span class="p">(</span><span class="n">BostonHousing</span><span class="p">[</span><span class="n">train.ind</span><span class="p">,</span><span class="w"> </span><span class="m">-14</span><span class="p">])</span><span class="w">
</span><span class="n">train.y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">BostonHousing</span><span class="p">[</span><span class="n">train.ind</span><span class="p">,</span><span class="w"> </span><span class="m">14</span><span class="p">]</span><span class="w">
</span><span class="n">test.x</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">data.matrix</span><span class="p">(</span><span class="n">BostonHousing</span><span class="p">[</span><span class="o">-</span><span class="n">train.ind</span><span class="p">,</span><span class="w"> </span><span class="m">-14</span><span class="p">])</span><span class="w">
</span><span class="n">test.y</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">BostonHousing</span><span class="p">[</span><span class="o">-</span><span class="n">train.ind</span><span class="p">,</span><span class="w"> </span><span class="m">14</span><span class="p">]</span><span class="w">
</span><span class="n">data</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">mx.symbol.Variable</span><span class="p">(</span><span class="s2">"data"</span><span class="p">)</span><span class="w">
</span><span class="n">fc1</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">mx.symbol.FullyConnected</span><span class="p">(</span><span class="n">data</span><span class="p">,</span><span class="w"> </span><span class="n">num_hidden</span><span class="o">=</span><span class="m">1</span><span class="p">)</span><span class="w">
</span><span class="n">lro</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">mx.symbol.LinearRegressionOutput</span><span class="p">(</span><span class="n">fc1</span><span class="p">)</span><span class="w">
</span><span class="n">mx.set.seed</span><span class="p">(</span><span class="m">0</span><span class="p">)</span><span class="w">
</span><span class="n">model</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">mx.model.FeedForward.create</span><span class="p">(</span><span class="w">
</span><span class="n">lro</span><span class="p">,</span><span class="w"> </span><span class="n">X</span><span class="o">=</span><span class="n">train.x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="o">=</span><span class="n">train.y</span><span class="p">,</span><span class="w">
</span><span class="n">eval.data</span><span class="o">=</span><span class="nf">list</span><span class="p">(</span><span class="n">data</span><span class="o">=</span><span class="n">test.x</span><span class="p">,</span><span class="w"> </span><span class="n">label</span><span class="o">=</span><span class="n">test.y</span><span class="p">),</span><span class="w">
</span><span class="n">ctx</span><span class="o">=</span><span class="n">mx.cpu</span><span class="p">(),</span><span class="w"> </span><span class="n">num.round</span><span class="o">=</span><span class="m">10</span><span class="p">,</span><span class="w"> </span><span class="n">array.batch.size</span><span class="o">=</span><span class="m">20</span><span class="p">,</span><span class="w">
</span><span class="n">learning.rate</span><span class="o">=</span><span class="m">2e-6</span><span class="p">,</span><span class="w"> </span><span class="n">momentum</span><span class="o">=</span><span class="m">0.9</span><span class="p">,</span><span class="w"> </span><span class="n">eval.metric</span><span class="o">=</span><span class="n">mx.metric.rmse</span><span class="p">)</span><span class="w">
</span></code></pre></div><div class="highlight"><pre><code class="language-" data-lang=""> ## Auto detect layout of input matrix, use row major..
## Start training with 1 devices
## [1] Train-rmse=16.063282524034
## [1] Validation-rmse=10.1766446093622
## [2] Train-rmse=12.2792375712573
## [2] Validation-rmse=12.4331776190813
## [3] Train-rmse=11.1984634005885
## [3] Validation-rmse=10.3303041888193
## [4] Train-rmse=10.2645236892904
## [4] Validation-rmse=8.42760407903415
## [5] Train-rmse=9.49711005504284
## [5] Validation-rmse=8.44557808483234
## [6] Train-rmse=9.07733734175182
## [6] Validation-rmse=8.33225500266177
## [7] Train-rmse=9.07884450847991
## [7] Validation-rmse=8.38827833418459
## [8] Train-rmse=9.10463850277417
## [8] Validation-rmse=8.37394452365264
## [9] Train-rmse=9.03977049028532
## [9] Validation-rmse=8.25927979725672
## [10] Train-rmse=8.96870685004475
## [10] Validation-rmse=8.19509291481822
</code></pre></div>
<p>We also provide two optional parameters, <code>batch.end.callback</code> and <code>epoch.end.callback</code>, which can provide great flexibility in model training.</p>
<h2 id="how-to-use-callback-functions">How to Use Callback Functions</h2>
<p>This package provides two callback functions:</p>
<ul>
<li><code>mx.callback.save.checkpoint</code> saves a checkpoint to files during each period iteration.</li>
</ul>
<div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">model</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">mx.model.FeedForward.create</span><span class="p">(</span><span class="w">
</span><span class="n">lro</span><span class="p">,</span><span class="w"> </span><span class="n">X</span><span class="o">=</span><span class="n">train.x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="o">=</span><span class="n">train.y</span><span class="p">,</span><span class="w">
</span><span class="n">eval.data</span><span class="o">=</span><span class="nf">list</span><span class="p">(</span><span class="n">data</span><span class="o">=</span><span class="n">test.x</span><span class="p">,</span><span class="w"> </span><span class="n">label</span><span class="o">=</span><span class="n">test.y</span><span class="p">),</span><span class="w">
</span><span class="n">ctx</span><span class="o">=</span><span class="n">mx.cpu</span><span class="p">(),</span><span class="w"> </span><span class="n">num.round</span><span class="o">=</span><span class="m">10</span><span class="p">,</span><span class="w"> </span><span class="n">array.batch.size</span><span class="o">=</span><span class="m">20</span><span class="p">,</span><span class="w">
</span><span class="n">learning.rate</span><span class="o">=</span><span class="m">2e-6</span><span class="p">,</span><span class="w"> </span><span class="n">momentum</span><span class="o">=</span><span class="m">0.9</span><span class="p">,</span><span class="w"> </span><span class="n">eval.metric</span><span class="o">=</span><span class="n">mx.metric.rmse</span><span class="p">,</span><span class="w">
</span><span class="n">epoch.end.callback</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mx.callback.save.checkpoint</span><span class="p">(</span><span class="s2">"boston"</span><span class="p">))</span><span class="w">
</span></code></pre></div><div class="highlight"><pre><code class="language-" data-lang=""> ## Auto detect layout of input matrix, use row major..
## Start training with 1 devices
## [1] Train-rmse=19.1621424021617
## [1] Validation-rmse=20.721515592165
## Model checkpoint saved to boston-0001.params
## [2] Train-rmse=13.5127391952367
## [2] Validation-rmse=14.1822123675007
## Model checkpoint saved to boston-0002.params
</code></pre></div>
<ul>
<li><code>mx.callback.log.train.metric</code> logs a training metric each period. You can use it either as a <code>batch.end.callback</code> or an
<code>epoch.end.callback</code>.</li>
</ul>
<div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">model</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">mx.model.FeedForward.create</span><span class="p">(</span><span class="w">
</span><span class="n">lro</span><span class="p">,</span><span class="w"> </span><span class="n">X</span><span class="o">=</span><span class="n">train.x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="o">=</span><span class="n">train.y</span><span class="p">,</span><span class="w">
</span><span class="n">eval.data</span><span class="o">=</span><span class="nf">list</span><span class="p">(</span><span class="n">data</span><span class="o">=</span><span class="n">test.x</span><span class="p">,</span><span class="w"> </span><span class="n">label</span><span class="o">=</span><span class="n">test.y</span><span class="p">),</span><span class="w">
</span><span class="n">ctx</span><span class="o">=</span><span class="n">mx.cpu</span><span class="p">(),</span><span class="w"> </span><span class="n">num.round</span><span class="o">=</span><span class="m">10</span><span class="p">,</span><span class="w"> </span><span class="n">array.batch.size</span><span class="o">=</span><span class="m">20</span><span class="p">,</span><span class="w">
</span><span class="n">learning.rate</span><span class="o">=</span><span class="m">2e-6</span><span class="p">,</span><span class="w"> </span><span class="n">momentum</span><span class="o">=</span><span class="m">0.9</span><span class="p">,</span><span class="w"> </span><span class="n">eval.metric</span><span class="o">=</span><span class="n">mx.metric.rmse</span><span class="p">,</span><span class="w">
</span><span class="n">batch.end.callback</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mx.callback.log.train.metric</span><span class="p">(</span><span class="m">5</span><span class="p">))</span><span class="w">
</span></code></pre></div><div class="highlight"><pre><code class="language-" data-lang=""> ## Auto detect layout of input matrix, use row major..
## Start training with 1 devices
## Batch [5] Train-rmse=17.6514558545416
## [1] Train-rmse=15.2879610219001
## [1] Validation-rmse=12.3332062820921
## Batch [5] Train-rmse=11.939392828565
## [2] Train-rmse=11.4382242547217
## [2] Validation-rmse=9.91176550103181
............
</code></pre></div>
<p>You also can save the training and evaluation errors for later use by passing a reference class:</p>
<div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">logger</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">mx.metric.logger</span><span class="o">$</span><span class="n">new</span><span class="p">()</span><span class="w">
</span><span class="n">model</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">mx.model.FeedForward.create</span><span class="p">(</span><span class="w">
</span><span class="n">lro</span><span class="p">,</span><span class="w"> </span><span class="n">X</span><span class="o">=</span><span class="n">train.x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="o">=</span><span class="n">train.y</span><span class="p">,</span><span class="w">
</span><span class="n">eval.data</span><span class="o">=</span><span class="nf">list</span><span class="p">(</span><span class="n">data</span><span class="o">=</span><span class="n">test.x</span><span class="p">,</span><span class="w"> </span><span class="n">label</span><span class="o">=</span><span class="n">test.y</span><span class="p">),</span><span class="w">
</span><span class="n">ctx</span><span class="o">=</span><span class="n">mx.cpu</span><span class="p">(),</span><span class="w"> </span><span class="n">num.round</span><span class="o">=</span><span class="m">10</span><span class="p">,</span><span class="w"> </span><span class="n">array.batch.size</span><span class="o">=</span><span class="m">20</span><span class="p">,</span><span class="w">
</span><span class="n">learning.rate</span><span class="o">=</span><span class="m">2e-6</span><span class="p">,</span><span class="w"> </span><span class="n">momentum</span><span class="o">=</span><span class="m">0.9</span><span class="p">,</span><span class="w"> </span><span class="n">eval.metric</span><span class="o">=</span><span class="n">mx.metric.rmse</span><span class="p">,</span><span class="w">
</span><span class="n">epoch.end.callback</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mx.callback.log.train.metric</span><span class="p">(</span><span class="m">5</span><span class="p">,</span><span class="w"> </span><span class="n">logger</span><span class="p">))</span><span class="w">
</span></code></pre></div><div class="highlight"><pre><code class="language-" data-lang=""> ## Auto detect layout of input matrix, use row major..
## Start training with 1 devices
## [1] Train-rmse=19.1083228733256
## [1] Validation-rmse=12.7150687428974
## [2] Train-rmse=15.7684378116157
## [2] Validation-rmse=14.8105319420491
............
</code></pre></div><div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">head</span><span class="p">(</span><span class="n">logger</span><span class="o">$</span><span class="n">train</span><span class="p">)</span><span class="w">
</span></code></pre></div><div class="highlight"><pre><code class="language-" data-lang=""> ## [1] 19.108323 15.768438 13.531470 11.386050 9.555477 9.351324
</code></pre></div><div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">head</span><span class="p">(</span><span class="n">logger</span><span class="o">$</span><span class="n">eval</span><span class="p">)</span><span class="w">
</span></code></pre></div><div class="highlight"><pre><code class="language-" data-lang=""> ## [1] 12.715069 14.810532 15.840361 10.898733 9.349706 9.363087
</code></pre></div>
<h2 id="how-to-write-your-own-callback-functions">How to Write Your Own Callback Functions</h2>
<p>You can find the source code for the two callback functions on <a href="https://github.com/dmlc/mxnet/blob/master/R-package/R/callback.R">GitHub</a> and use it as a template:</p>
<p>Basically, all callback functions follow the following structure:</p>
<div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">mx.callback.fun</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="k">function</span><span class="p">()</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="k">function</span><span class="p">(</span><span class="n">iteration</span><span class="p">,</span><span class="w"> </span><span class="n">nbatch</span><span class="p">,</span><span class="w"> </span><span class="n">env</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="p">}</span><span class="w">
</span></code></pre></div>
<p>The following <code>mx.callback.save.checkpoint</code> function is stateless. It gets the model from the environment and saves it:.</p>
<div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">mx.callback.save.checkpoint</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="k">function</span><span class="p">(</span><span class="n">prefix</span><span class="p">,</span><span class="w"> </span><span class="n">period</span><span class="o">=</span><span class="m">1</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="k">function</span><span class="p">(</span><span class="n">iteration</span><span class="p">,</span><span class="w"> </span><span class="n">nbatch</span><span class="p">,</span><span class="w"> </span><span class="n">env</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">iteration</span><span class="w"> </span><span class="o">%%</span><span class="w"> </span><span class="n">period</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="m">0</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="n">mx.model.save</span><span class="p">(</span><span class="n">env</span><span class="o">$</span><span class="n">model</span><span class="p">,</span><span class="w"> </span><span class="n">prefix</span><span class="p">,</span><span class="w"> </span><span class="n">iteration</span><span class="p">)</span><span class="w">
</span><span class="n">cat</span><span class="p">(</span><span class="n">sprintf</span><span class="p">(</span><span class="s2">"Model checkpoint saved to %s-%04d.params\n"</span><span class="p">,</span><span class="w"> </span><span class="n">prefix</span><span class="p">,</span><span class="w"> </span><span class="n">iteration</span><span class="p">))</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="nf">return</span><span class="p">(</span><span class="kc">TRUE</span><span class="p">)</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="p">}</span><span class="w">
</span></code></pre></div>
<p>The <code>mx.callback.log.train.metric</code> is a little more complex. It holds a reference class and updates it during the training
process:</p>
<div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">mx.callback.log.train.metric</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="k">function</span><span class="p">(</span><span class="n">period</span><span class="p">,</span><span class="w"> </span><span class="n">logger</span><span class="o">=</span><span class="kc">NULL</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="k">function</span><span class="p">(</span><span class="n">iteration</span><span class="p">,</span><span class="w"> </span><span class="n">nbatch</span><span class="p">,</span><span class="w"> </span><span class="n">env</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">nbatch</span><span class="w"> </span><span class="o">%%</span><span class="w"> </span><span class="n">period</span><span class="w"> </span><span class="o">==</span><span class="w"> </span><span class="m">0</span><span class="w"> </span><span class="o">&amp;&amp;</span><span class="w"> </span><span class="o">!</span><span class="nf">is.null</span><span class="p">(</span><span class="n">env</span><span class="o">$</span><span class="n">metric</span><span class="p">))</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="n">result</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">env</span><span class="o">$</span><span class="n">metric</span><span class="o">$</span><span class="n">get</span><span class="p">(</span><span class="n">env</span><span class="o">$</span><span class="n">train.metric</span><span class="p">)</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">nbatch</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="m">0</span><span class="p">)</span><span class="w">
</span><span class="n">cat</span><span class="p">(</span><span class="n">paste0</span><span class="p">(</span><span class="s2">"Batch ["</span><span class="p">,</span><span class="w"> </span><span class="n">nbatch</span><span class="p">,</span><span class="w"> </span><span class="s2">"] Train-"</span><span class="p">,</span><span class="w"> </span><span class="n">result</span><span class="o">$</span><span class="n">name</span><span class="p">,</span><span class="w"> </span><span class="s2">"="</span><span class="p">,</span><span class="w"> </span><span class="n">result</span><span class="o">$</span><span class="n">value</span><span class="p">,</span><span class="w"> </span><span class="s2">"\n"</span><span class="p">))</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="nf">is.null</span><span class="p">(</span><span class="n">logger</span><span class="p">))</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="nf">class</span><span class="p">(</span><span class="n">logger</span><span class="p">)</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="s2">"mx.metric.logger"</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="n">stop</span><span class="p">(</span><span class="s2">"Invalid mx.metric.logger."</span><span class="p">)</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="n">logger</span><span class="o">$</span><span class="n">train</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="nf">c</span><span class="p">(</span><span class="n">logger</span><span class="o">$</span><span class="n">train</span><span class="p">,</span><span class="w"> </span><span class="n">result</span><span class="o">$</span><span class="n">value</span><span class="p">)</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="nf">is.null</span><span class="p">(</span><span class="n">env</span><span class="o">$</span><span class="n">eval.metric</span><span class="p">))</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="n">result</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">env</span><span class="o">$</span><span class="n">metric</span><span class="o">$</span><span class="n">get</span><span class="p">(</span><span class="n">env</span><span class="o">$</span><span class="n">eval.metric</span><span class="p">)</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">nbatch</span><span class="w"> </span><span class="o">!=</span><span class="w"> </span><span class="m">0</span><span class="p">)</span><span class="w">
</span><span class="n">cat</span><span class="p">(</span><span class="n">paste0</span><span class="p">(</span><span class="s2">"Batch ["</span><span class="p">,</span><span class="w"> </span><span class="n">nbatch</span><span class="p">,</span><span class="w"> </span><span class="s2">"] Validation-"</span><span class="p">,</span><span class="w"> </span><span class="n">result</span><span class="o">$</span><span class="n">name</span><span class="p">,</span><span class="w"> </span><span class="s2">"="</span><span class="p">,</span><span class="w"> </span><span class="n">result</span><span class="o">$</span><span class="n">value</span><span class="p">,</span><span class="w"> </span><span class="s2">"\n"</span><span class="p">))</span><span class="w">
</span><span class="n">logger</span><span class="o">$</span><span class="n">eval</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="nf">c</span><span class="p">(</span><span class="n">logger</span><span class="o">$</span><span class="n">eval</span><span class="p">,</span><span class="w"> </span><span class="n">result</span><span class="o">$</span><span class="n">value</span><span class="p">)</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="nf">return</span><span class="p">(</span><span class="kc">TRUE</span><span class="p">)</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="p">}</span><span class="w">
</span></code></pre></div>
<p>Now you might be curious why both callback functions <code>return(TRUE)</code>.</p>
<p>Can we <code>return(FALSE)</code>?</p>
<p>Yes! You can stop the training early with <code>return(FALSE)</code>. See the following examples.</p>
<div class="highlight"><pre><code class="language-r" data-lang="r"><span class="w"> </span><span class="n">mx.callback.early.stop</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="k">function</span><span class="p">(</span><span class="n">eval.metric</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="k">function</span><span class="p">(</span><span class="n">iteration</span><span class="p">,</span><span class="w"> </span><span class="n">nbatch</span><span class="p">,</span><span class="w"> </span><span class="n">env</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="nf">is.null</span><span class="p">(</span><span class="n">env</span><span class="o">$</span><span class="n">metric</span><span class="p">))</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="o">!</span><span class="nf">is.null</span><span class="p">(</span><span class="n">eval.metric</span><span class="p">))</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="n">result</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">env</span><span class="o">$</span><span class="n">metric</span><span class="o">$</span><span class="n">get</span><span class="p">(</span><span class="n">env</span><span class="o">$</span><span class="n">eval.metric</span><span class="p">)</span><span class="w">
</span><span class="k">if</span><span class="w"> </span><span class="p">(</span><span class="n">result</span><span class="o">$</span><span class="n">value</span><span class="w"> </span><span class="o">&lt;</span><span class="w"> </span><span class="n">eval.metric</span><span class="p">)</span><span class="w"> </span><span class="p">{</span><span class="w">
</span><span class="nf">return</span><span class="p">(</span><span class="kc">FALSE</span><span class="p">)</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="nf">return</span><span class="p">(</span><span class="kc">TRUE</span><span class="p">)</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="p">}</span><span class="w">
</span><span class="n">model</span><span class="w"> </span><span class="o">&lt;-</span><span class="w"> </span><span class="n">mx.model.FeedForward.create</span><span class="p">(</span><span class="w">
</span><span class="n">lro</span><span class="p">,</span><span class="w"> </span><span class="n">X</span><span class="o">=</span><span class="n">train.x</span><span class="p">,</span><span class="w"> </span><span class="n">y</span><span class="o">=</span><span class="n">train.y</span><span class="p">,</span><span class="w">
</span><span class="n">eval.data</span><span class="o">=</span><span class="nf">list</span><span class="p">(</span><span class="n">data</span><span class="o">=</span><span class="n">test.x</span><span class="p">,</span><span class="w"> </span><span class="n">label</span><span class="o">=</span><span class="n">test.y</span><span class="p">),</span><span class="w">
</span><span class="n">ctx</span><span class="o">=</span><span class="n">mx.cpu</span><span class="p">(),</span><span class="w"> </span><span class="n">num.round</span><span class="o">=</span><span class="m">10</span><span class="p">,</span><span class="w"> </span><span class="n">array.batch.size</span><span class="o">=</span><span class="m">20</span><span class="p">,</span><span class="w">
</span><span class="n">learning.rate</span><span class="o">=</span><span class="m">2e-6</span><span class="p">,</span><span class="w"> </span><span class="n">momentum</span><span class="o">=</span><span class="m">0.9</span><span class="p">,</span><span class="w"> </span><span class="n">eval.metric</span><span class="o">=</span><span class="n">mx.metric.rmse</span><span class="p">,</span><span class="w">
</span><span class="n">epoch.end.callback</span><span class="w"> </span><span class="o">=</span><span class="w"> </span><span class="n">mx.callback.early.stop</span><span class="p">(</span><span class="m">10</span><span class="p">))</span><span class="w">
</span></code></pre></div><div class="highlight"><pre><code class="language-" data-lang=""> ## Auto detect layout of input matrix, use row major..
## Start training with 1 devices
## [1] Train-rmse=18.5897984387033
## [1] Validation-rmse=13.5555213820571
## [2] Train-rmse=12.5867564040256
## [2] Validation-rmse=9.76304967080928
</code></pre></div>
<p>When the validation metric dips below the threshold we set, the training process stops.</p>
<h2 id="next-steps">Next Steps</h2>
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<li><a href="/api/r/docs/tutorials/five_minutes_neural_network">Neural Networks with MXNet in Five Minutes</a></li>
<li><a href="/api/r/docs/tutorials/classify_real_image_with_pretrained_model">Classify Real-World Images with a Pretrained Model</a></li>
<li><a href="/api/r/docs/tutorials/mnist_competition">Handwritten Digits Classification Competition</a></li>
<li><a href="/api/r/docs/tutorials/char_rnn_model">Character Language Model Using RNN</a></li>
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