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<div class="headertitle"><div class="title">adaline_learning.cpp File Reference<div class="ingroups"><a class="el" href="../../d9/d66/group__machine__learning.html">Machine Learning Algorithms</a></div></div></div>
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<div class="contents">
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<p><a href="https://en.wikipedia.org/wiki/ADALINE" target="_blank">Adaptive Linear Neuron (ADALINE)</a> implementation
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<a href="#details">More...</a></p>
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<div class="textblock"><code>#include <array></code><br />
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<code>#include <cassert></code><br />
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<code>#include <climits></code><br />
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<code>#include <cmath></code><br />
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<code>#include <cstdlib></code><br />
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<code>#include <ctime></code><br />
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<code>#include <iostream></code><br />
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<code>#include <numeric></code><br />
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<code>#include <vector></code><br />
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</div><div class="textblock"><div class="dynheader">
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Include dependency graph for adaline_learning.cpp:</div>
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<div class="dyncontent">
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d7/da7/adaline__learning_8cpp__incl.svg" width="100%" height="395"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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Classes</h2></td></tr>
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<tr class="memitem:"><td class="memItemLeft" align="right" valign="top">class  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d6/d30/classmachine__learning_1_1adaline.html">machine_learning::adaline</a></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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Namespaces</h2></td></tr>
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<tr class="memitem:d8/d77/namespacemachine__learning"><td class="memItemLeft" align="right" valign="top">namespace  </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html">machine_learning</a></td></tr>
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<tr class="memdesc:d8/d77/namespacemachine__learning"><td class="mdescLeft"> </td><td class="mdescRight"><a href="https://en.wikipedia.org/wiki/A*_search_algorithm" target="_blank">A* search algorithm</a> <br /></td></tr>
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<tr class="separator:"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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Functions</h2></td></tr>
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<tr class="memitem:a52053d88ea1bcbbed9aca67ab4eeb499"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/db0/adaline__learning_8cpp.html#a52053d88ea1bcbbed9aca67ab4eeb499">test1</a> (double eta=0.01)</td></tr>
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<tr class="separator:a52053d88ea1bcbbed9aca67ab4eeb499"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a379f7488a305f2571f2932b319931f82"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/db0/adaline__learning_8cpp.html#a379f7488a305f2571f2932b319931f82">test2</a> (double eta=0.01)</td></tr>
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<tr class="separator:a379f7488a305f2571f2932b319931f82"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a992bdf1fdb0b9d414bcf7981d2d87aa9"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">test3</a> (double eta=0.01)</td></tr>
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<tr class="separator:a992bdf1fdb0b9d414bcf7981d2d87aa9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3c04138a5bfe5d72780bb7e82a18e627"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d5/db0/adaline__learning_8cpp.html#a3c04138a5bfe5d72780bb7e82a18e627">main</a> (int argc, char **argv)</td></tr>
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a id="var-members" name="var-members"></a>
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Variables</h2></td></tr>
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<tr class="memitem:ga5118e5cbc4f0886e27b3a7a2544dded1"><td class="memItemLeft" align="right" valign="top">constexpr int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d9/d66/group__machine__learning.html#ga5118e5cbc4f0886e27b3a7a2544dded1">MAX_ITER</a> = 500</td></tr>
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</table>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
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<div class="textblock"><p ><a href="https://en.wikipedia.org/wiki/ADALINE" target="_blank">Adaptive Linear Neuron (ADALINE)</a> implementation </p>
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<dl class="section author"><dt>Author</dt><dd><a href="https://github.com/kvedala" target="_blank">Krishna Vedala</a></dd></dl>
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<p><a href="https://commons.wikimedia.org/wiki/File:Adaline_flow_chart.gif"><img src="https://upload.wikimedia.org/wikipedia/commons/b/be/Adaline_flow_chart.gif" alt="Structure of an ADALINE network. Source: Wikipedia" style="width:200px; float:right;" class="inline"/></a></p>
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<p >ADALINE is one of the first and simplest single layer artificial neural network. The algorithm essentially implements a linear function </p><p class="formulaDsp">
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\[ f\left(x_0,x_1,x_2,\ldots\right) = \sum_j x_jw_j+\theta \]
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</p>
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<p> where \(x_j\) are the input features of a sample, \(w_j\) are the coefficients of the linear function and \(\theta\) is a constant. If we know the \(w_j\), then for any given set of features, \(y\) can be computed. Computing the \(w_j\) is a supervised learning algorithm wherein a set of features and their corresponding outputs are given and weights are computed using stochastic gradient descent method. </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="a3c04138a5bfe5d72780bb7e82a18e627" name="a3c04138a5bfe5d72780bb7e82a18e627"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a3c04138a5bfe5d72780bb7e82a18e627">◆ </a></span>main()</h2>
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<td class="memname">int main </td>
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<td>(</td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>argc</em>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">char ** </td>
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<td class="paramname"><em>argv</em> </td>
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<td></td>
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<td>)</td>
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<td></td><td></td>
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</div><div class="memdoc">
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<p >Main function </p>
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<div class="fragment"><div class="line"><a id="l00357" name="l00357"></a><span class="lineno"> 357</span> {</div>
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<div class="line"><a id="l00358" name="l00358"></a><span class="lineno"> 358</span> <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a>(<span class="keyword">nullptr</span>)); <span class="comment">// initialize random number generator</span></div>
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<div class="line"><a id="l00359" name="l00359"></a><span class="lineno"> 359</span> </div>
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<div class="line"><a id="l00360" name="l00360"></a><span class="lineno"> 360</span> <span class="keywordtype">double</span> eta = 0.1; <span class="comment">// default value of eta</span></div>
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<div class="line"><a id="l00361" name="l00361"></a><span class="lineno"> 361</span> <span class="keywordflow">if</span> (argc == 2) { <span class="comment">// read eta value from commandline argument if present</span></div>
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<div class="line"><a id="l00362" name="l00362"></a><span class="lineno"> 362</span> eta = <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strtof.html">strtof</a>(argv[1], <span class="keyword">nullptr</span>);</div>
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<div class="line"><a id="l00363" name="l00363"></a><span class="lineno"> 363</span> }</div>
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<div class="line"><a id="l00364" name="l00364"></a><span class="lineno"> 364</span> </div>
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<div class="line"><a id="l00365" name="l00365"></a><span class="lineno"> 365</span> <a class="code hl_function" href="../../d5/db0/adaline__learning_8cpp.html#a52053d88ea1bcbbed9aca67ab4eeb499">test1</a>(eta);</div>
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<div class="line"><a id="l00366" name="l00366"></a><span class="lineno"> 366</span> </div>
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<div class="line"><a id="l00367" name="l00367"></a><span class="lineno"> 367</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Press ENTER to continue..."</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00368" name="l00368"></a><span class="lineno"> 368</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a>.get();</div>
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<div class="line"><a id="l00369" name="l00369"></a><span class="lineno"> 369</span> </div>
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<div class="line"><a id="l00370" name="l00370"></a><span class="lineno"> 370</span> <a class="code hl_function" href="../../d5/db0/adaline__learning_8cpp.html#a379f7488a305f2571f2932b319931f82">test2</a>(eta);</div>
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<div class="line"><a id="l00371" name="l00371"></a><span class="lineno"> 371</span> </div>
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<div class="line"><a id="l00372" name="l00372"></a><span class="lineno"> 372</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Press ENTER to continue..."</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00373" name="l00373"></a><span class="lineno"> 373</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a>.get();</div>
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<div class="line"><a id="l00374" name="l00374"></a><span class="lineno"> 374</span> </div>
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<div class="line"><a id="l00375" name="l00375"></a><span class="lineno"> 375</span> <a class="code hl_function" href="../../d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">test3</a>(eta);</div>
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<div class="line"><a id="l00376" name="l00376"></a><span class="lineno"> 376</span> </div>
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<div class="line"><a id="l00377" name="l00377"></a><span class="lineno"> 377</span> <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a id="l00378" name="l00378"></a><span class="lineno"> 378</span>}</div>
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<div class="ttc" id="aadaline__learning_8cpp_html_a379f7488a305f2571f2932b319931f82"><div class="ttname"><a href="../../d5/db0/adaline__learning_8cpp.html#a379f7488a305f2571f2932b319931f82">test2</a></div><div class="ttdeci">void test2(double eta=0.01)</div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:262</div></div>
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<div class="ttc" id="aadaline__learning_8cpp_html_a52053d88ea1bcbbed9aca67ab4eeb499"><div class="ttname"><a href="../../d5/db0/adaline__learning_8cpp.html#a52053d88ea1bcbbed9aca67ab4eeb499">test1</a></div><div class="ttdeci">void test1(double eta=0.01)</div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:224</div></div>
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<div class="ttc" id="aadaline__learning_8cpp_html_a992bdf1fdb0b9d414bcf7981d2d87aa9"><div class="ttname"><a href="../../d5/db0/adaline__learning_8cpp.html#a992bdf1fdb0b9d414bcf7981d2d87aa9">test3</a></div><div class="ttdeci">void test3(double eta=0.01)</div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:313</div></div>
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<div class="ttc" id="abasic_istream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_istream.html">std::cin</a></div></div>
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<div class="ttc" id="abasic_ostream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a></div></div>
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<div class="ttc" id="aendl_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a></div><div class="ttdeci">T endl(T... args)</div></div>
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<div class="ttc" id="asrand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a></div><div class="ttdeci">T srand(T... args)</div></div>
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<div class="ttc" id="astrtof_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/strtof.html">std::strtof</a></div><div class="ttdeci">T strtof(T... args)</div></div>
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<div class="ttc" id="atime_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/c/time.html">std::time</a></div><div class="ttdeci">T time(T... args)</div></div>
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Here is the call graph for this function:</div>
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<div class="center"><div class="zoom"><iframe scrolling="no" frameborder="0" src="../../d5/db0/adaline__learning_8cpp_a3c04138a5bfe5d72780bb7e82a18e627_cgraph.svg" width="100%" height="600"><p><b>This browser is not able to show SVG: try Firefox, Chrome, Safari, or Opera instead.</b></p></iframe></div>
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<a id="a52053d88ea1bcbbed9aca67ab4eeb499" name="a52053d88ea1bcbbed9aca67ab4eeb499"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a52053d88ea1bcbbed9aca67ab4eeb499">◆ </a></span>test1()</h2>
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<td class="memname">void test1 </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>eta</em> = <code>0.01</code></td><td>)</td>
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<p >test function to predict points in a 2D coordinate system above the line \(x=y\) as +1 and others as -1. Note that each point is defined by 2 values or 2 features. </p><dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">eta</td><td>learning rate (optional, default=0.01) </td></tr>
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<div class="fragment"><div class="line"><a id="l00224" name="l00224"></a><span class="lineno"> 224</span> {</div>
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<div class="line"><a id="l00225" name="l00225"></a><span class="lineno"> 225</span> <a class="code hl_class" href="../../d6/d30/classmachine__learning_1_1adaline.html">adaline</a> ada(2, eta); <span class="comment">// 2 features</span></div>
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<div class="line"><a id="l00226" name="l00226"></a><span class="lineno"> 226</span> </div>
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<div class="line"><a id="l00227" name="l00227"></a><span class="lineno"> 227</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = 10; <span class="comment">// number of sample points</span></div>
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<div class="line"><a id="l00228" name="l00228"></a><span class="lineno"> 228</span> </div>
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<div class="line"><a id="l00229" name="l00229"></a><span class="lineno"> 229</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<std::vector<double></a>, <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>> X = {</div>
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<div class="line"><a id="l00230" name="l00230"></a><span class="lineno"> 230</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({0, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({1, -2}),</div>
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<div class="line"><a id="l00231" name="l00231"></a><span class="lineno"> 231</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({2, 3}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({3, -1}),</div>
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<div class="line"><a id="l00232" name="l00232"></a><span class="lineno"> 232</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({4, 1}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({6, -5}),</div>
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<div class="line"><a id="l00233" name="l00233"></a><span class="lineno"> 233</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({-7, -3}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({-8, 5}),</div>
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<div class="line"><a id="l00234" name="l00234"></a><span class="lineno"> 234</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({-9, 2}), <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({-10, -15})};</div>
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<div class="line"><a id="l00235" name="l00235"></a><span class="lineno"> 235</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, N></a> y = {1, -1, 1, -1, -1,</div>
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<div class="line"><a id="l00236" name="l00236"></a><span class="lineno"> 236</span> -1, 1, 1, 1, -1}; <span class="comment">// corresponding y-values</span></div>
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<div class="line"><a id="l00237" name="l00237"></a><span class="lineno"> 237</span> </div>
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<div class="line"><a id="l00238" name="l00238"></a><span class="lineno"> 238</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"------- Test 1 -------"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00239" name="l00239"></a><span class="lineno"> 239</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Model before fit: "</span> << ada << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00240" name="l00240"></a><span class="lineno"> 240</span> </div>
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<div class="line"><a id="l00241" name="l00241"></a><span class="lineno"> 241</span> ada.fit<<a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>>(X, y);</div>
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<div class="line"><a id="l00242" name="l00242"></a><span class="lineno"> 242</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Model after fit: "</span> << ada << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00243" name="l00243"></a><span class="lineno"> 243</span> </div>
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<div class="line"><a id="l00244" name="l00244"></a><span class="lineno"> 244</span> <span class="keywordtype">int</span> predict = ada.predict({5, -3});</div>
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<div class="line"><a id="l00245" name="l00245"></a><span class="lineno"> 245</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Predict for x=(5,-3): "</span> << predict;</div>
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<div class="line"><a id="l00246" name="l00246"></a><span class="lineno"> 246</span> assert(predict == -1);</div>
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<div class="line"><a id="l00247" name="l00247"></a><span class="lineno"> 247</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">" ...passed"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00248" name="l00248"></a><span class="lineno"> 248</span> </div>
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<div class="line"><a id="l00249" name="l00249"></a><span class="lineno"> 249</span> predict = ada.predict({5, 8});</div>
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<div class="line"><a id="l00250" name="l00250"></a><span class="lineno"> 250</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Predict for x=(5,8): "</span> << predict;</div>
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<div class="line"><a id="l00251" name="l00251"></a><span class="lineno"> 251</span> assert(predict == 1);</div>
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<div class="line"><a id="l00252" name="l00252"></a><span class="lineno"> 252</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">" ...passed"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00253" name="l00253"></a><span class="lineno"> 253</span>}</div>
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<div class="ttc" id="aarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/array.html">std::array</a></div></div>
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<div class="ttc" id="aclassmachine__learning_1_1adaline_html"><div class="ttname"><a href="../../d6/d30/classmachine__learning_1_1adaline.html">machine_learning::adaline</a></div><div class="ttdef"><b>Definition:</b> adaline_learning.cpp:46</div></div>
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<div class="ttc" id="adata__structures_2sparse__table_8cpp_html_a10f3ffb3f6f7e1b83d556b9c8de89a5d"><div class="ttname"><a href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">data_structures::sparse_table::N</a></div><div class="ttdeci">constexpr uint32_t N</div><div class="ttdoc">A struct to represent sparse table for min() as their invariant function, for the given array A....</div><div class="ttdef"><b>Definition:</b> sparse_table.cpp:47</div></div>
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<div class="ttc" id="avector_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a></div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a379f7488a305f2571f2932b319931f82">◆ </a></span>test2()</h2>
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<td class="memname">void test2 </td>
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<td>(</td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>eta</em> = <code>0.01</code></td><td>)</td>
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<p >test function to predict points in a 2D coordinate system above the line \(x+3y=-1\) as +1 and others as -1. Note that each point is defined by 2 values or 2 features. The function will create random sample points for training and test purposes. </p><dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">eta</td><td>learning rate (optional, default=0.01) </td></tr>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a id="l00262" name="l00262"></a><span class="lineno"> 262</span> {</div>
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<div class="line"><a id="l00263" name="l00263"></a><span class="lineno"> 263</span> <a class="code hl_class" href="../../d6/d30/classmachine__learning_1_1adaline.html">adaline</a> ada(2, eta); <span class="comment">// 2 features</span></div>
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<div class="line"><a id="l00264" name="l00264"></a><span class="lineno"> 264</span> </div>
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<div class="line"><a id="l00265" name="l00265"></a><span class="lineno"> 265</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = 50; <span class="comment">// number of sample points</span></div>
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<div class="line"><a id="l00266" name="l00266"></a><span class="lineno"> 266</span> </div>
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<div class="line"><a id="l00267" name="l00267"></a><span class="lineno"> 267</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<std::vector<double></a>, <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>> X;</div>
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<div class="line"><a id="l00268" name="l00268"></a><span class="lineno"> 268</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, N></a> Y{}; <span class="comment">// corresponding y-values</span></div>
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<div class="line"><a id="l00269" name="l00269"></a><span class="lineno"> 269</span> </div>
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<div class="line"><a id="l00270" name="l00270"></a><span class="lineno"> 270</span> <span class="comment">// generate sample points in the interval</span></div>
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<div class="line"><a id="l00271" name="l00271"></a><span class="lineno"> 271</span> <span class="comment">// [-range2/100 , (range2-1)/100]</span></div>
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<div class="line"><a id="l00272" name="l00272"></a><span class="lineno"> 272</span> <span class="keywordtype">int</span> range = 500; <span class="comment">// sample points full-range</span></div>
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<div class="line"><a id="l00273" name="l00273"></a><span class="lineno"> 273</span> <span class="keywordtype">int</span> range2 = range >> 1; <span class="comment">// sample points half-range</span></div>
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<div class="line"><a id="l00274" name="l00274"></a><span class="lineno"> 274</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
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<div class="line"><a id="l00275" name="l00275"></a><span class="lineno"> 275</span> <span class="keywordtype">double</span> x0 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00276" name="l00276"></a><span class="lineno"> 276</span> <span class="keywordtype">double</span> x1 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00277" name="l00277"></a><span class="lineno"> 277</span> X[i] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({x0, x1});</div>
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<div class="line"><a id="l00278" name="l00278"></a><span class="lineno"> 278</span> Y[i] = (x0 + 3. * x1) > -1 ? 1 : -1;</div>
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<div class="line"><a id="l00279" name="l00279"></a><span class="lineno"> 279</span> }</div>
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<div class="line"><a id="l00280" name="l00280"></a><span class="lineno"> 280</span> </div>
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<div class="line"><a id="l00281" name="l00281"></a><span class="lineno"> 281</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"------- Test 2 -------"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00282" name="l00282"></a><span class="lineno"> 282</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Model before fit: "</span> << ada << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00283" name="l00283"></a><span class="lineno"> 283</span> </div>
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<div class="line"><a id="l00284" name="l00284"></a><span class="lineno"> 284</span> ada.fit(X, Y);</div>
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<div class="line"><a id="l00285" name="l00285"></a><span class="lineno"> 285</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Model after fit: "</span> << ada << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00286" name="l00286"></a><span class="lineno"> 286</span> </div>
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<div class="line"><a id="l00287" name="l00287"></a><span class="lineno"> 287</span> <span class="keywordtype">int</span> N_test_cases = 5;</div>
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<div class="line"><a id="l00288" name="l00288"></a><span class="lineno"> 288</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_test_cases; i++) {</div>
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<div class="line"><a id="l00289" name="l00289"></a><span class="lineno"> 289</span> <span class="keywordtype">double</span> x0 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00290" name="l00290"></a><span class="lineno"> 290</span> <span class="keywordtype">double</span> x1 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00291" name="l00291"></a><span class="lineno"> 291</span> </div>
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<div class="line"><a id="l00292" name="l00292"></a><span class="lineno"> 292</span> <span class="keywordtype">int</span> predict = ada.predict({x0, x1});</div>
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<div class="line"><a id="l00293" name="l00293"></a><span class="lineno"> 293</span> </div>
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<div class="line"><a id="l00294" name="l00294"></a><span class="lineno"> 294</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Predict for x=("</span> << x0 << <span class="stringliteral">","</span> << x1 << <span class="stringliteral">"): "</span> << predict;</div>
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<div class="line"><a id="l00295" name="l00295"></a><span class="lineno"> 295</span> </div>
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<div class="line"><a id="l00296" name="l00296"></a><span class="lineno"> 296</span> <span class="keywordtype">int</span> expected_val = (x0 + 3. * x1) > -1 ? 1 : -1;</div>
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<div class="line"><a id="l00297" name="l00297"></a><span class="lineno"> 297</span> assert(predict == expected_val);</div>
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<div class="line"><a id="l00298" name="l00298"></a><span class="lineno"> 298</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">" ...passed"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00299" name="l00299"></a><span class="lineno"> 299</span> }</div>
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<div class="line"><a id="l00300" name="l00300"></a><span class="lineno"> 300</span>}</div>
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<div class="ttc" id="arand_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a></div><div class="ttdeci">T rand(T... args)</div></div>
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<h2 class="memtitle"><span class="permalink"><a href="#a992bdf1fdb0b9d414bcf7981d2d87aa9">◆ </a></span>test3()</h2>
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<td class="memname">void test3 </td>
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<td>(</td>
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<p >test function to predict points in a 3D coordinate system lying within the sphere of radius 1 and centre at origin as +1 and others as -1. Note that each point is defined by 3 values but we use 6 features. The function will create random sample points for training and test purposes. The sphere centred at origin and radius 1 is defined as: \(x^2+y^2+z^2=r^2=1\) and if the \(r^2<1\), point lies within the sphere else, outside.</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<table class="params">
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<tr><td class="paramdir">[in]</td><td class="paramname">eta</td><td>learning rate (optional, default=0.01) </td></tr>
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</table>
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</dd>
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</dl>
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<div class="fragment"><div class="line"><a id="l00313" name="l00313"></a><span class="lineno"> 313</span> {</div>
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<div class="line"><a id="l00314" name="l00314"></a><span class="lineno"> 314</span> <a class="code hl_class" href="../../d6/d30/classmachine__learning_1_1adaline.html">adaline</a> ada(6, eta); <span class="comment">// 2 features</span></div>
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<div class="line"><a id="l00315" name="l00315"></a><span class="lineno"> 315</span> </div>
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<div class="line"><a id="l00316" name="l00316"></a><span class="lineno"> 316</span> <span class="keyword">const</span> <span class="keywordtype">int</span> <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a> = 100; <span class="comment">// number of sample points</span></div>
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<div class="line"><a id="l00317" name="l00317"></a><span class="lineno"> 317</span> </div>
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<div class="line"><a id="l00318" name="l00318"></a><span class="lineno"> 318</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<std::vector<double></a>, <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>> X;</div>
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<div class="line"><a id="l00319" name="l00319"></a><span class="lineno"> 319</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/array.html">std::array<int, N></a> Y{}; <span class="comment">// corresponding y-values</span></div>
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<div class="line"><a id="l00320" name="l00320"></a><span class="lineno"> 320</span> </div>
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<div class="line"><a id="l00321" name="l00321"></a><span class="lineno"> 321</span> <span class="comment">// generate sample points in the interval</span></div>
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<div class="line"><a id="l00322" name="l00322"></a><span class="lineno"> 322</span> <span class="comment">// [-range2/100 , (range2-1)/100]</span></div>
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<div class="line"><a id="l00323" name="l00323"></a><span class="lineno"> 323</span> <span class="keywordtype">int</span> range = 200; <span class="comment">// sample points full-range</span></div>
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<div class="line"><a id="l00324" name="l00324"></a><span class="lineno"> 324</span> <span class="keywordtype">int</span> range2 = range >> 1; <span class="comment">// sample points half-range</span></div>
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<div class="line"><a id="l00325" name="l00325"></a><span class="lineno"> 325</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < <a class="code hl_variable" href="../../d6/d42/data__structures_2sparse__table_8cpp.html#a10f3ffb3f6f7e1b83d556b9c8de89a5d">N</a>; i++) {</div>
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<div class="line"><a id="l00326" name="l00326"></a><span class="lineno"> 326</span> <span class="keywordtype">double</span> x0 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00327" name="l00327"></a><span class="lineno"> 327</span> <span class="keywordtype">double</span> x1 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00328" name="l00328"></a><span class="lineno"> 328</span> <span class="keywordtype">double</span> x2 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00329" name="l00329"></a><span class="lineno"> 329</span> X[i] = <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<double></a>({x0, x1, x2, x0 * x0, x1 * x1, x2 * x2});</div>
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<div class="line"><a id="l00330" name="l00330"></a><span class="lineno"> 330</span> Y[i] = ((x0 * x0) + (x1 * x1) + (x2 * x2)) <= 1.f ? 1 : -1;</div>
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<div class="line"><a id="l00331" name="l00331"></a><span class="lineno"> 331</span> }</div>
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<div class="line"><a id="l00332" name="l00332"></a><span class="lineno"> 332</span> </div>
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<div class="line"><a id="l00333" name="l00333"></a><span class="lineno"> 333</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"------- Test 3 -------"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00334" name="l00334"></a><span class="lineno"> 334</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Model before fit: "</span> << ada << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00335" name="l00335"></a><span class="lineno"> 335</span> </div>
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<div class="line"><a id="l00336" name="l00336"></a><span class="lineno"> 336</span> ada.fit(X, Y);</div>
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<div class="line"><a id="l00337" name="l00337"></a><span class="lineno"> 337</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Model after fit: "</span> << ada << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00338" name="l00338"></a><span class="lineno"> 338</span> </div>
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<div class="line"><a id="l00339" name="l00339"></a><span class="lineno"> 339</span> <span class="keywordtype">int</span> N_test_cases = 5;</div>
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<div class="line"><a id="l00340" name="l00340"></a><span class="lineno"> 340</span> <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < N_test_cases; i++) {</div>
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<div class="line"><a id="l00341" name="l00341"></a><span class="lineno"> 341</span> <span class="keywordtype">double</span> x0 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00342" name="l00342"></a><span class="lineno"> 342</span> <span class="keywordtype">double</span> x1 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00343" name="l00343"></a><span class="lineno"> 343</span> <span class="keywordtype">double</span> x2 = (<span class="keyword">static_cast<</span><span class="keywordtype">double</span><span class="keyword">></span>(<a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % range) - range2) / 100.f;</div>
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<div class="line"><a id="l00344" name="l00344"></a><span class="lineno"> 344</span> </div>
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<div class="line"><a id="l00345" name="l00345"></a><span class="lineno"> 345</span> <span class="keywordtype">int</span> predict = ada.predict({x0, x1, x2, x0 * x0, x1 * x1, x2 * x2});</div>
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<div class="line"><a id="l00346" name="l00346"></a><span class="lineno"> 346</span> </div>
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<div class="line"><a id="l00347" name="l00347"></a><span class="lineno"> 347</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"Predict for x=("</span> << x0 << <span class="stringliteral">","</span> << x1 << <span class="stringliteral">","</span> << x2</div>
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<div class="line"><a id="l00348" name="l00348"></a><span class="lineno"> 348</span> << <span class="stringliteral">"): "</span> << predict;</div>
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<div class="line"><a id="l00349" name="l00349"></a><span class="lineno"> 349</span> </div>
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<div class="line"><a id="l00350" name="l00350"></a><span class="lineno"> 350</span> <span class="keywordtype">int</span> expected_val = ((x0 * x0) + (x1 * x1) + (x2 * x2)) <= 1.f ? 1 : -1;</div>
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<div class="line"><a id="l00351" name="l00351"></a><span class="lineno"> 351</span> assert(predict == expected_val);</div>
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<div class="line"><a id="l00352" name="l00352"></a><span class="lineno"> 352</span> <a class="code hl_classRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">" ...passed"</span> << <a class="code hl_functionRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/manip/endl.html">std::endl</a>;</div>
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<div class="line"><a id="l00353" name="l00353"></a><span class="lineno"> 353</span> }</div>
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<div class="line"><a id="l00354" name="l00354"></a><span class="lineno"> 354</span>}</div>
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