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<div id="projectname">Algorithms_in_C++<span id="projectnumber">&#160;1.0.0</span>
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<div id="projectbrief">Set of algorithms implemented in C++.</div>
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<p>Implementation of <a href="https://en.wikipedia.org/wiki/Multilayer_perceptron" target="_blank">Multilayer Perceptron</a>.
<p>Implementation of [Multilayer Perceptron] (<a href="https://en.wikipedia.org/wiki/Multilayer_perceptron">https://en.wikipedia.org/wiki/Multilayer_perceptron</a>).
<a href="#details">More...</a></p>
<div class="textblock"><code>#include &lt;algorithm&gt;</code><br />
<code>#include &lt;cassert&gt;</code><br />
@@ -168,7 +168,7 @@ Functions</h2></td></tr>
<tr class="separator:ae66f6b31b5ad750f1fe042a706a4e3d4"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p >Implementation of <a href="https://en.wikipedia.org/wiki/Multilayer_perceptron" target="_blank">Multilayer Perceptron</a>. </p>
<div class="textblock"><p >Implementation of [Multilayer Perceptron] (<a href="https://en.wikipedia.org/wiki/Multilayer_perceptron">https://en.wikipedia.org/wiki/Multilayer_perceptron</a>). </p>
<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/imdeep2905" target="_blank">Deep Raval</a></dd></dl>
<p>A multilayer perceptron (MLP) is a class of feedforward artificial neural network (ANN). The term MLP is used ambiguously, sometimes loosely to any feedforward ANN, sometimes strictly to refer to networks composed of multiple layers of perceptrons (with threshold activation). Multilayer perceptrons are sometimes colloquially referred to as "vanilla" neural networks, especially when they have a single hidden layer.</p>
<p >An MLP consists of at least three layers of nodes: an input layer, a hidden layer and an output layer. Except for the input nodes, each node is a neuron that uses a nonlinear activation function. MLP utilizes a supervised learning technique called backpropagation for training. Its multiple layers and non-linear activation distinguish MLP from a linear perceptron. It can distinguish data that is not linearly separable.</p>
@@ -197,7 +197,7 @@ Functions</h2></td></tr>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>derivative of relu(x) </dd></dl>
<div class="fragment"><div class="line"><a id="l00081" name="l00081"></a><span class="lineno"> 81</span>{ <span class="keywordflow">return</span> x &gt;= 0.0 ? 1.0 : 0.0; }</div>
<div class="fragment"><div class="line"><span class="lineno"> 81</span>{ <span class="keywordflow">return</span> x &gt;= 0.0 ? 1.0 : 0.0; }</div>
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<dl class="section return"><dt>Returns</dt><dd>Returns derivative of sigmoid(x) </dd></dl>
<div class="fragment"><div class="line"><a id="l00067" name="l00067"></a><span class="lineno"> 67</span>{ <span class="keywordflow">return</span> x * (1 - x); }</div>
<div class="fragment"><div class="line"><span class="lineno"> 67</span>{ <span class="keywordflow">return</span> x * (1 - x); }</div>
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<dl class="section return"><dt>Returns</dt><dd>Returns derivative of tanh(x) </dd></dl>
<div class="fragment"><div class="line"><a id="l00095" name="l00095"></a><span class="lineno"> 95</span>{ <span class="keywordflow">return</span> 1 - x * x; }</div>
<div class="fragment"><div class="line"><span class="lineno"> 95</span>{ <span class="keywordflow">return</span> 1 - x * x; }</div>
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<dl class="section return"><dt>Returns</dt><dd>Returns x </dd></dl>
<div class="fragment"><div class="line"><a id="l00112" name="l00112"></a><span class="lineno"> 112</span>{ <span class="keywordflow">return</span> x; }</div>
<div class="fragment"><div class="line"><span class="lineno"> 112</span>{ <span class="keywordflow">return</span> x; }</div>
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<p>Main function. </p>
<dl class="section return"><dt>Returns</dt><dd>0 on exit </dd></dl>
<div class="fragment"><div class="line"><a id="l00833" name="l00833"></a><span class="lineno"> 833</span> {</div>
<div class="line"><a id="l00834" name="l00834"></a><span class="lineno"> 834</span> <span class="comment">// Testing</span></div>
<div class="line"><a id="l00835" name="l00835"></a><span class="lineno"> 835</span> <a class="code hl_function" href="../../d2/d58/neural__network_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><a id="l00836" name="l00836"></a><span class="lineno"> 836</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><a id="l00837" name="l00837"></a><span class="lineno"> 837</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 833</span> {</div>
<div class="line"><span class="lineno"> 834</span> <span class="comment">// Testing</span></div>
<div class="line"><span class="lineno"> 835</span> <a class="code hl_function" href="../../d2/d58/neural__network_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a>();</div>
<div class="line"><span class="lineno"> 836</span> <span class="keywordflow">return</span> 0;</div>
<div class="line"><span class="lineno"> 837</span>}</div>
<div class="ttc" id="aneural__network_8cpp_html_aa8dca7b867074164d5f45b0f3851269d"><div class="ttname"><a href="../../d2/d58/neural__network_8cpp.html#aa8dca7b867074164d5f45b0f3851269d">test</a></div><div class="ttdeci">static void test()</div><div class="ttdef"><b>Definition:</b> neural_network.cpp:805</div></div>
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<dl class="section return"><dt>Returns</dt><dd>relu(x) </dd></dl>
<div class="fragment"><div class="line"><a id="l00074" name="l00074"></a><span class="lineno"> 74</span>{ <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(0.0, x); }</div>
<div class="fragment"><div class="line"><span class="lineno"> 74</span>{ <span class="keywordflow">return</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(0.0, x); }</div>
<div class="ttc" id="amax_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a></div><div class="ttdeci">T max(T... args)</div></div>
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<dl class="section return"><dt>Returns</dt><dd>Returns sigmoid(x) </dd></dl>
<div class="fragment"><div class="line"><a id="l00060" name="l00060"></a><span class="lineno"> 60</span>{ <span class="keywordflow">return</span> 1.0 / (1.0 + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">std::exp</a>(-x)); }</div>
<div class="fragment"><div class="line"><span class="lineno"> 60</span>{ <span class="keywordflow">return</span> 1.0 / (1.0 + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">std::exp</a>(-x)); }</div>
<div class="ttc" id="aexp_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">std::exp</a></div><div class="ttdeci">T exp(T... args)</div></div>
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<dl class="section return"><dt>Returns</dt><dd>Returns x * x </dd></dl>
<div class="fragment"><div class="line"><a id="l00106" name="l00106"></a><span class="lineno"> 106</span>{ <span class="keywordflow">return</span> x * x; }</div>
<div class="fragment"><div class="line"><span class="lineno"> 106</span>{ <span class="keywordflow">return</span> x * x; }</div>
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<dl class="section return"><dt>Returns</dt><dd>Returns tanh(x) </dd></dl>
<div class="fragment"><div class="line"><a id="l00088" name="l00088"></a><span class="lineno"> 88</span>{ <span class="keywordflow">return</span> 2 / (1 + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">std::exp</a>(-2 * x)) - 1; }</div>
<div class="fragment"><div class="line"><span class="lineno"> 88</span>{ <span class="keywordflow">return</span> 2 / (1 + <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">std::exp</a>(-2 * x)) - 1; }</div>
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<p >Function to test neural network </p><dl class="section return"><dt>Returns</dt><dd>none </dd></dl>
<div class="fragment"><div class="line"><a id="l00805" name="l00805"></a><span class="lineno"> 805</span> {</div>
<div class="line"><a id="l00806" name="l00806"></a><span class="lineno"> 806</span> <span class="comment">// Creating network with 3 layers for &quot;iris.csv&quot;</span></div>
<div class="line"><a id="l00807" name="l00807"></a><span class="lineno"> 807</span> <a class="code hl_class" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html">machine_learning::neural_network::NeuralNetwork</a> myNN =</div>
<div class="line"><a id="l00808" name="l00808"></a><span class="lineno"> 808</span> <a class="code hl_class" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html">machine_learning::neural_network::NeuralNetwork</a>({</div>
<div class="line"><a id="l00809" name="l00809"></a><span class="lineno"> 809</span> {4, <span class="stringliteral">&quot;none&quot;</span>}, <span class="comment">// First layer with 3 neurons and &quot;none&quot; as activation</span></div>
<div class="line"><a id="l00810" name="l00810"></a><span class="lineno"> 810</span> {6,</div>
<div class="line"><a id="l00811" name="l00811"></a><span class="lineno"> 811</span> <span class="stringliteral">&quot;relu&quot;</span>}, <span class="comment">// Second layer with 6 neurons and &quot;relu&quot; as activation</span></div>
<div class="line"><a id="l00812" name="l00812"></a><span class="lineno"> 812</span> {3, <span class="stringliteral">&quot;sigmoid&quot;</span>} <span class="comment">// Third layer with 3 neurons and &quot;sigmoid&quot; as</span></div>
<div class="line"><a id="l00813" name="l00813"></a><span class="lineno"> 813</span> <span class="comment">// activation</span></div>
<div class="line"><a id="l00814" name="l00814"></a><span class="lineno"> 814</span> });</div>
<div class="line"><a id="l00815" name="l00815"></a><span class="lineno"> 815</span> <span class="comment">// Printing summary of model</span></div>
<div class="line"><a id="l00816" name="l00816"></a><span class="lineno"> 816</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a61d30113d13304c664057118b92a5931">summary</a>();</div>
<div class="line"><a id="l00817" name="l00817"></a><span class="lineno"> 817</span> <span class="comment">// Training Model</span></div>
<div class="line"><a id="l00818" name="l00818"></a><span class="lineno"> 818</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a5172a6791b9bd24f4232bab8d6b81fff">fit_from_csv</a>(<span class="stringliteral">&quot;iris.csv&quot;</span>, <span class="keyword">true</span>, 100, 0.3, <span class="keyword">false</span>, 2, 32, <span class="keyword">true</span>);</div>
<div class="line"><a id="l00819" name="l00819"></a><span class="lineno"> 819</span> <span class="comment">// Testing predictions of model</span></div>
<div class="line"><a id="l00820" name="l00820"></a><span class="lineno"> 820</span> assert(<a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a50480fccfb39de20ca47f1bf51ecb6ec">machine_learning::argmax</a>(</div>
<div class="line"><a id="l00821" name="l00821"></a><span class="lineno"> 821</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a3b9eac1824d365dce715fb17c33cb96f">single_predict</a>({{5, 3.4, 1.6, 0.4}})) == 0);</div>
<div class="line"><a id="l00822" name="l00822"></a><span class="lineno"> 822</span> assert(<a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a50480fccfb39de20ca47f1bf51ecb6ec">machine_learning::argmax</a>(</div>
<div class="line"><a id="l00823" name="l00823"></a><span class="lineno"> 823</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a3b9eac1824d365dce715fb17c33cb96f">single_predict</a>({{6.4, 2.9, 4.3, 1.3}})) == 1);</div>
<div class="line"><a id="l00824" name="l00824"></a><span class="lineno"> 824</span> assert(<a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a50480fccfb39de20ca47f1bf51ecb6ec">machine_learning::argmax</a>(</div>
<div class="line"><a id="l00825" name="l00825"></a><span class="lineno"> 825</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a3b9eac1824d365dce715fb17c33cb96f">single_predict</a>({{6.2, 3.4, 5.4, 2.3}})) == 2);</div>
<div class="line"><a id="l00826" name="l00826"></a><span class="lineno"> 826</span> <span class="keywordflow">return</span>;</div>
<div class="line"><a id="l00827" name="l00827"></a><span class="lineno"> 827</span>}</div>
<div class="fragment"><div class="line"><span class="lineno"> 805</span> {</div>
<div class="line"><span class="lineno"> 806</span> <span class="comment">// Creating network with 3 layers for &quot;iris.csv&quot;</span></div>
<div class="line"><span class="lineno"> 807</span> <a class="code hl_class" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html">machine_learning::neural_network::NeuralNetwork</a> myNN =</div>
<div class="line"><span class="lineno"> 808</span> <a class="code hl_class" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html">machine_learning::neural_network::NeuralNetwork</a>({</div>
<div class="line"><span class="lineno"> 809</span> {4, <span class="stringliteral">&quot;none&quot;</span>}, <span class="comment">// First layer with 3 neurons and &quot;none&quot; as activation</span></div>
<div class="line"><span class="lineno"> 810</span> {6,</div>
<div class="line"><span class="lineno"> 811</span> <span class="stringliteral">&quot;relu&quot;</span>}, <span class="comment">// Second layer with 6 neurons and &quot;relu&quot; as activation</span></div>
<div class="line"><span class="lineno"> 812</span> {3, <span class="stringliteral">&quot;sigmoid&quot;</span>} <span class="comment">// Third layer with 3 neurons and &quot;sigmoid&quot; as</span></div>
<div class="line"><span class="lineno"> 813</span> <span class="comment">// activation</span></div>
<div class="line"><span class="lineno"> 814</span> });</div>
<div class="line"><span class="lineno"> 815</span> <span class="comment">// Printing summary of model</span></div>
<div class="line"><span class="lineno"> 816</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a61d30113d13304c664057118b92a5931">summary</a>();</div>
<div class="line"><span class="lineno"> 817</span> <span class="comment">// Training Model</span></div>
<div class="line"><span class="lineno"> 818</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a5172a6791b9bd24f4232bab8d6b81fff">fit_from_csv</a>(<span class="stringliteral">&quot;iris.csv&quot;</span>, <span class="keyword">true</span>, 100, 0.3, <span class="keyword">false</span>, 2, 32, <span class="keyword">true</span>);</div>
<div class="line"><span class="lineno"> 819</span> <span class="comment">// Testing predictions of model</span></div>
<div class="line"><span class="lineno"> 820</span> assert(<a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a50480fccfb39de20ca47f1bf51ecb6ec">machine_learning::argmax</a>(</div>
<div class="line"><span class="lineno"> 821</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a3b9eac1824d365dce715fb17c33cb96f">single_predict</a>({{5, 3.4, 1.6, 0.4}})) == 0);</div>
<div class="line"><span class="lineno"> 822</span> assert(<a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a50480fccfb39de20ca47f1bf51ecb6ec">machine_learning::argmax</a>(</div>
<div class="line"><span class="lineno"> 823</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a3b9eac1824d365dce715fb17c33cb96f">single_predict</a>({{6.4, 2.9, 4.3, 1.3}})) == 1);</div>
<div class="line"><span class="lineno"> 824</span> assert(<a class="code hl_function" href="../../d8/d77/namespacemachine__learning.html#a50480fccfb39de20ca47f1bf51ecb6ec">machine_learning::argmax</a>(</div>
<div class="line"><span class="lineno"> 825</span> myNN.<a class="code hl_function" href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a3b9eac1824d365dce715fb17c33cb96f">single_predict</a>({{6.2, 3.4, 5.4, 2.3}})) == 2);</div>
<div class="line"><span class="lineno"> 826</span> <span class="keywordflow">return</span>;</div>
<div class="line"><span class="lineno"> 827</span>}</div>
<div class="ttc" id="aclassmachine__learning_1_1neural__network_1_1_neural_network_html"><div class="ttname"><a href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html">machine_learning::neural_network::NeuralNetwork</a></div><div class="ttdef"><b>Definition:</b> neural_network.cpp:247</div></div>
<div class="ttc" id="aclassmachine__learning_1_1neural__network_1_1_neural_network_html_a3b9eac1824d365dce715fb17c33cb96f"><div class="ttname"><a href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a3b9eac1824d365dce715fb17c33cb96f">machine_learning::neural_network::NeuralNetwork::single_predict</a></div><div class="ttdeci">std::vector&lt; std::valarray&lt; double &gt; &gt; single_predict(const std::vector&lt; std::valarray&lt; double &gt; &gt; &amp;X)</div><div class="ttdef"><b>Definition:</b> neural_network.cpp:451</div></div>
<div class="ttc" id="aclassmachine__learning_1_1neural__network_1_1_neural_network_html_a5172a6791b9bd24f4232bab8d6b81fff"><div class="ttname"><a href="../../d4/df4/classmachine__learning_1_1neural__network_1_1_neural_network.html#a5172a6791b9bd24f4232bab8d6b81fff">machine_learning::neural_network::NeuralNetwork::fit_from_csv</a></div><div class="ttdeci">void fit_from_csv(const std::string &amp;file_name, const bool &amp;last_label, const int &amp;epochs, const double &amp;learning_rate, const bool &amp;normalize, const int &amp;slip_lines=1, const size_t &amp;batch_size=32, const bool &amp;shuffle=true)</div><div class="ttdef"><b>Definition:</b> neural_network.cpp:587</div></div>
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