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<div class="title">machine_learning Namespace 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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<p>Machine learning algorithms.
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<table class="memberdecls">
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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">adaline</a></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:a1d577f5d95b774ae97eb6838852d0df5"><td class="memItemLeft" align="right" valign="top">int </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a1d577f5d95b774ae97eb6838852d0df5">save_u_matrix</a> (const char *fname, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >>> &W)</td></tr>
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<tr class="separator:a1d577f5d95b774ae97eb6838852d0df5"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac4010fe3a52a74e8b5b1aaadfe38b46f"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#ac4010fe3a52a74e8b5b1aaadfe38b46f">update_weights</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double > &X, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >>> *W, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> *D, double alpha, int R)</td></tr>
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<tr class="separator:ac4010fe3a52a74e8b5b1aaadfe38b46f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:adc731720947b4bc2ab047c141e7d0299"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#adc731720947b4bc2ab047c141e7d0299">kohonen_som</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> &X, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >>> *W, double alpha_min)</td></tr>
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<tr class="separator:adc731720947b4bc2ab047c141e7d0299"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a361674452869413536ee501f053129a8"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a361674452869413536ee501f053129a8">update_weights</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double > &x, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> *W, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double > *D, double alpha, int R)</td></tr>
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<tr class="memitem:acc6a28f40512dbda75ab1a3969248898"><td class="memItemLeft" align="right" valign="top">void </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#acc6a28f40512dbda75ab1a3969248898">kohonen_som_tracer</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> &X, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> *W, double alpha_min)</td></tr>
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<tr class="separator:acc6a28f40512dbda75ab1a3969248898"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8e8b54aaa62ad7f906aec0756ca3a500"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a8e8b54aaa62ad7f906aec0756ca3a500"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a8e8b54aaa62ad7f906aec0756ca3a500">operator<<</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &out, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> const &A)</td></tr>
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<tr class="separator:a8e8b54aaa62ad7f906aec0756ca3a500"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2a282c162e12f193c58232f26f0fa62d"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a2a282c162e12f193c58232f26f0fa62d"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a2a282c162e12f193c58232f26f0fa62d">operator<<</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &out, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< T, T > &A)</td></tr>
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<tr class="separator:a2a282c162e12f193c58232f26f0fa62d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad0302cde64c0479379be18286962f6df"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:ad0302cde64c0479379be18286962f6df"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#ad0302cde64c0479379be18286962f6df">operator<<</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> &out, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > &A)</td></tr>
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<tr class="separator:ad0302cde64c0479379be18286962f6df"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a725d4ccceda4f32c96348ba1d593cd3c"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a725d4ccceda4f32c96348ba1d593cd3c"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a725d4ccceda4f32c96348ba1d593cd3c">insert_element</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > &A, const T &ele)</td></tr>
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<tr class="separator:a725d4ccceda4f32c96348ba1d593cd3c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ad9d119e7520fa5c2d2428433f578c0bc"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:ad9d119e7520fa5c2d2428433f578c0bc"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#ad9d119e7520fa5c2d2428433f578c0bc">pop_front</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > &A)</td></tr>
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<tr class="separator:ad9d119e7520fa5c2d2428433f578c0bc"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a4dd9a9df9f8f05327bcf7b58b0a86576"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a4dd9a9df9f8f05327bcf7b58b0a86576"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a4dd9a9df9f8f05327bcf7b58b0a86576">pop_back</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > &A)</td></tr>
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<tr class="separator:a4dd9a9df9f8f05327bcf7b58b0a86576"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:aaf373bce30d78abce6e237cea702a885"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:aaf373bce30d78abce6e237cea702a885"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#aaf373bce30d78abce6e237cea702a885">equal_shuffle</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> > &A, <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> > &B)</td></tr>
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<tr class="separator:aaf373bce30d78abce6e237cea702a885"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a73ee7ed3546ab9e8792a92336d0d14ab"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a73ee7ed3546ab9e8792a92336d0d14ab"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a73ee7ed3546ab9e8792a92336d0d14ab">uniform_random_initialization</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< size_t, size_t > &shape, const T &low, const T &high)</td></tr>
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<tr class="memitem:abf136b863d804899647f46eeb2e1392b"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:abf136b863d804899647f46eeb2e1392b"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#abf136b863d804899647f46eeb2e1392b">unit_matrix_initialization</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< size_t, size_t > &shape)</td></tr>
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<tr class="memitem:a4d136cbf20e3126ed9b934ab2d03f18b"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a4d136cbf20e3126ed9b934ab2d03f18b"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a4d136cbf20e3126ed9b934ab2d03f18b">zeroes_initialization</a> (<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< size_t, size_t > &shape)</td></tr>
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<tr class="memitem:a5305cc18d11943d3dc0d66e70d7e9c44"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a5305cc18d11943d3dc0d66e70d7e9c44"><td class="memTemplItemLeft" align="right" valign="top">T </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a5305cc18d11943d3dc0d66e70d7e9c44">sum</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A)</td></tr>
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<tr class="memitem:abe6b58ec16abe0f6f8ac195e04aa8abd"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:abe6b58ec16abe0f6f8ac195e04aa8abd"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< size_t, size_t > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A)</td></tr>
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<tr class="separator:abe6b58ec16abe0f6f8ac195e04aa8abd"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a05b9445c6ab65053b9bf9897a96af82d"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a05b9445c6ab65053b9bf9897a96af82d"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a05b9445c6ab65053b9bf9897a96af82d">minmax_scaler</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >>> &A, const T &low, const T &high)</td></tr>
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<tr class="separator:a05b9445c6ab65053b9bf9897a96af82d"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1b42d24ad7bedbfa8e5b59fe96987a44"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a1b42d24ad7bedbfa8e5b59fe96987a44"><td class="memTemplItemLeft" align="right" valign="top">size_t </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a1b42d24ad7bedbfa8e5b59fe96987a44">argmax</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A)</td></tr>
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<tr class="memitem:ac33041816bc333896b86a9c2042047fd"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:ac33041816bc333896b86a9c2042047fd"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#ac33041816bc333896b86a9c2042047fd">apply_function</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, T(*func)(const T &))</td></tr>
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<tr class="memitem:a2e7242fd513e4184ad783f5d9658f750"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a2e7242fd513e4184ad783f5d9658f750"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a2e7242fd513e4184ad783f5d9658f750">operator*</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, const T &val)</td></tr>
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<tr class="separator:a2e7242fd513e4184ad783f5d9658f750"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a8c24000ea2a0ef6a46d06d2717b62984"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a8c24000ea2a0ef6a46d06d2717b62984"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a8c24000ea2a0ef6a46d06d2717b62984">operator/</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, const T &val)</td></tr>
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<tr class="memitem:ac480dcc290990d8e93093fa08d915830"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:ac480dcc290990d8e93093fa08d915830"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#ac480dcc290990d8e93093fa08d915830">transpose</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A)</td></tr>
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<tr class="memitem:ad8791a48ac0f519e9e7e4b333b126c7b"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:ad8791a48ac0f519e9e7e4b333b126c7b"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#ad8791a48ac0f519e9e7e4b333b126c7b">operator+</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &B)</td></tr>
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<tr class="memitem:a140ec294f73b3ee0709d515d2ee269c1"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a140ec294f73b3ee0709d515d2ee269c1"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a140ec294f73b3ee0709d515d2ee269c1">operator-</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &B)</td></tr>
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<tr class="memitem:a8c42a1a712b725e2aa7d4e5dc2cebcf9"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a8c42a1a712b725e2aa7d4e5dc2cebcf9"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a8c42a1a712b725e2aa7d4e5dc2cebcf9">multiply</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &B)</td></tr>
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<tr class="separator:a8c42a1a712b725e2aa7d4e5dc2cebcf9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9e3ef7d310219dfcb2caecb9b167c35b"><td class="memTemplParams" colspan="2">template<typename T > </td></tr>
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<tr class="memitem:a9e3ef7d310219dfcb2caecb9b167c35b"><td class="memTemplItemLeft" align="right" valign="top"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > > </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a9e3ef7d310219dfcb2caecb9b167c35b">hadamard_product</a> (const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &A, const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> &B)</td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="var-members"></a>
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Variables</h2></td></tr>
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<tr class="memitem:a7220dbb7fa896d83bfb7a50e4fce1786"><td class="memItemLeft" align="right" valign="top">constexpr double </td><td class="memItemRight" valign="bottom"><a class="el" href="../../d8/d77/namespacemachine__learning.html#a7220dbb7fa896d83bfb7a50e4fce1786">MIN_DISTANCE</a> = 1e-4</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>Machine learning algorithms. </p>
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<p>Machine Learning algorithms. </p>
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</div><h2 class="groupheader">Function Documentation</h2>
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<a id="ac33041816bc333896b86a9c2042047fd"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#ac33041816bc333896b86a9c2042047fd">◆ </a></span>apply_function()</h2>
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template<typename T > </div>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a><<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a> <T> > machine_learning::apply_function </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<td class="paramname"><em>A</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">T(*)(const T &) </td>
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<td class="paramname"><em>func</em> </td>
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<td></td>
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<td>)</td>
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</div><div class="memdoc">
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<p>Function which applys supplied function to every element of 2D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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</dd>
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</dl>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>2D vector on which function will be applied </td></tr>
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<tr><td class="paramname">func</td><td>Function to be applied </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00316"></a><span class="lineno"> 316</span>  {</div>
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<div class="line"><a name="l00317"></a><span class="lineno"> 317</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> B = A; <span class="comment">// New vector to store resultant vector</span></div>
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<div class="line"><a name="l00318"></a><span class="lineno"> 318</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &b : B) { <span class="comment">// For every row in vector</span></div>
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<div class="line"><a name="l00319"></a><span class="lineno"> 319</span>  b = b.apply(func); <span class="comment">// Apply function to that row</span></div>
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<div class="line"><a name="l00320"></a><span class="lineno"> 320</span>  }</div>
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<div class="line"><a name="l00321"></a><span class="lineno"> 321</span>  <span class="keywordflow">return</span> B; <span class="comment">// Return new resultant 2D vector</span></div>
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<div class="line"><a name="l00322"></a><span class="lineno"> 322</span> }</div>
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</div><!-- fragment -->
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<a id="a1b42d24ad7bedbfa8e5b59fe96987a44"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a1b42d24ad7bedbfa8e5b59fe96987a44">◆ </a></span>argmax()</h2>
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<td class="memname">size_t machine_learning::argmax </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<td class="paramname"><em>A</em></td><td>)</td>
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<td></td>
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</div><div class="memdoc">
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<p>Function to get index of maximum element in 2D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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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="paramname">A</td><td>2D vector for which maximum index is required </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>index of maximum element </dd></dl>
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<div class="fragment"><div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  {</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(A);</div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  <span class="comment">// As this function is used on predicted (or target) vector, shape should be (1, X) </span></div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  <span class="keywordflow">if</span>(shape.first != 1) {</div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"ERROR: (argmax) Supplied vector is ineligible for argmax"</span> << <a class="codeRef" 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 name="l00301"></a><span class="lineno"> 301</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a>(EXIT_FAILURE); </div>
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<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  }</div>
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<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  <span class="comment">// Return distance of max element from first element (i.e. index)</span></div>
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<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  <span class="keywordflow">return</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/distance.html">std::distance</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(A[0]), <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max_element.html">std::max_element</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(A[0]), <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(A[0])));</div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#aaf373bce30d78abce6e237cea702a885">◆ </a></span>equal_shuffle()</h2>
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<td class="memname">void machine_learning::equal_shuffle </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> > & </td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> > & </td>
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<td class="paramname"><em>B</em> </td>
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<p>Function to equally shuffle two 3D vectors (used for shuffling training data) </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>First 3D vector </td></tr>
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<tr><td class="paramname">B</td><td>Second 3D vector </td></tr>
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<div class="fragment"><div class="line"><a name="l00134"></a><span class="lineno"> 134</span>  {</div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="comment">// If two vectors have different sizes</span></div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="keywordflow">if</span>(A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() != B.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>())</div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  {</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"ERROR : Can not equally shuffle two vectors with different sizes: "</span>;</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() << <span class="stringliteral">" and "</span> << B.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() << <a class="codeRef" 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 name="l00140"></a><span class="lineno"> 140</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a>(EXIT_FAILURE);</div>
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<div class="line"><a name="l00141"></a><span class="lineno"> 141</span>  }</div>
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<div class="line"><a name="l00142"></a><span class="lineno"> 142</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) { <span class="comment">// For every element in A and B</span></div>
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<div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  <span class="comment">// Genrating random index < size of A and B</span></div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/srand.html">std::srand</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/system_clock/now.html">std::chrono::system_clock::now</a>().time_since_epoch().count());</div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordtype">size_t</span> random_index = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/rand.html">std::rand</a>() % A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>();</div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <span class="comment">// Swap elements in both A and B with same random index</span></div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(A[i], A[random_index]);</div>
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<div class="line"><a name="l00148"></a><span class="lineno"> 148</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a>(B[i], B[random_index]);</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  }</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#abe6b58ec16abe0f6f8ac195e04aa8abd">◆ </a></span>get_shape()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a><size_t, size_t> machine_learning::get_shape </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<p>Function to get shape of given 2D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>2D vector for which shape is required </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>shape as pair </dd></dl>
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<div class="fragment"><div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  {</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="keyword">const</span> <span class="keywordtype">size_t</span> sub_size = (*A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/begin.html">begin</a>()).size();</div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span>  <span class="keywordflow">for</span>(<span class="keyword">const</span> <span class="keyword">auto</span> &a : A) {</div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="comment">// If supplied vector don't have same shape in all rows</span></div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="keywordflow">if</span>(a.size() != sub_size) {</div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"ERROR: (get_shape) Supplied vector is not 2D Matrix"</span> << <a class="codeRef" 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 name="l00249"></a><span class="lineno"> 249</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a>(EXIT_FAILURE);</div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span>  }</div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  }</div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  <span class="keywordflow">return</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a>(A.size(), sub_size); <span class="comment">// Return shape as pair</span></div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a9e3ef7d310219dfcb2caecb9b167c35b">◆ </a></span>hadamard_product()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a><<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a> <T> > machine_learning::hadamard_product </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<p>Function to get hadamard product of two 2D vectors </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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<tr><td class="paramname">A</td><td>First 2D vector </td></tr>
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<tr><td class="paramname">B</td><td>Second 2D vector </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00466"></a><span class="lineno"> 466</span>  {</div>
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<div class="line"><a name="l00467"></a><span class="lineno"> 467</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape_a = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(A);</div>
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<div class="line"><a name="l00468"></a><span class="lineno"> 468</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape_b = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(B);</div>
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<div class="line"><a name="l00469"></a><span class="lineno"> 469</span>  <span class="comment">// If vectors are not eligible for hadamard product</span></div>
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<div class="line"><a name="l00470"></a><span class="lineno"> 470</span>  <span class="keywordflow">if</span>(shape_a.first != shape_b.first || shape_a.second != shape_b.second) {</div>
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<div class="line"><a name="l00471"></a><span class="lineno"> 471</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"ERROR: (hadamard_product) Supplied vectors have different shapes "</span>;</div>
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<div class="line"><a name="l00472"></a><span class="lineno"> 472</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << shape_a << <span class="stringliteral">" and "</span> << shape_b << <a class="codeRef" 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 name="l00473"></a><span class="lineno"> 473</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a>(EXIT_FAILURE);</div>
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<div class="line"><a name="l00474"></a><span class="lineno"> 474</span>  }</div>
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<div class="line"><a name="l00475"></a><span class="lineno"> 475</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<T></a>> C; <span class="comment">// Vector to store result</span></div>
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<div class="line"><a name="l00476"></a><span class="lineno"> 476</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) {</div>
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<div class="line"><a name="l00477"></a><span class="lineno"> 477</span>  C.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(A[i] * B[i]); <span class="comment">// Elementwise multiplication</span></div>
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<div class="line"><a name="l00478"></a><span class="lineno"> 478</span>  }</div>
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<div class="line"><a name="l00479"></a><span class="lineno"> 479</span>  <span class="keywordflow">return</span> C; <span class="comment">// Return new resultant 2D vector</span></div>
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<div class="line"><a name="l00480"></a><span class="lineno"> 480</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a725d4ccceda4f32c96348ba1d593cd3c">◆ </a></span>insert_element()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a><T> machine_learning::insert_element </td>
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<p>Function to insert element into 1D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the 1D vector and the element </td></tr>
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<tr><td class="paramname">A</td><td>1D vector in which element will to be inserted </td></tr>
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<tr><td class="paramname">ele</td><td>element to be inserted </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  {</div>
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<div class="line"><a name="l00085"></a><span class="lineno"> 85</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray <T></a> B; <span class="comment">// New 1D vector to store resultant vector</span></div>
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<div class="line"><a name="l00086"></a><span class="lineno"> 86</span>  B.resize(A.size() + 1); <span class="comment">// Resizing it accordingly</span></div>
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<div class="line"><a name="l00087"></a><span class="lineno"> 87</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < A.size(); i++) { <span class="comment">// For every element in A</span></div>
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<div class="line"><a name="l00088"></a><span class="lineno"> 88</span>  B[i] = A[i]; <span class="comment">// Copy element in B</span></div>
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<div class="line"><a name="l00089"></a><span class="lineno"> 89</span>  }</div>
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<div class="line"><a name="l00090"></a><span class="lineno"> 90</span>  B[B.size() - 1] = ele; <span class="comment">// Inserting new element in last position</span></div>
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<div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">return</span> B; <span class="comment">// Return resultant vector</span></div>
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<div class="line"><a name="l00092"></a><span class="lineno"> 92</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#adc731720947b4bc2ab047c141e7d0299">◆ </a></span>kohonen_som()</h2>
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<td class="memname">void machine_learning::kohonen_som </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> & </td>
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<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >>> * </td>
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<td class="paramname"><em>W</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>alpha_min</em> </td>
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</tr>
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<td></td>
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<td>)</td>
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<p>Apply incremental algorithm with updating neighborhood and learning rates on all samples in the given datset.</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">X</td><td>data set </td></tr>
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<tr><td class="paramdir">[in,out]</td><td class="paramname">W</td><td>weights matrix </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">alpha_min</td><td>terminal value of alpha </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 name="l00271"></a><span class="lineno"> 271</span>  {</div>
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<div class="line"><a name="l00272"></a><span class="lineno"> 272</span>  <span class="keywordtype">size_t</span> num_samples = X.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// number of rows</span></div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  <span class="comment">// size_t num_features = X[0].size(); // number of columns</span></div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="keywordtype">size_t</span> num_out = W-><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// output matrix size</span></div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  <span class="keywordtype">size_t</span> R = num_out >> 2, iter = 0;</div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keywordtype">double</span> alpha = 1.f;</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  </div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> D(num_out);</div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < num_out; i++) D[i] = std::valarray<double>(num_out);</div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  </div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keywordtype">double</span> dmin = 1.f; <span class="comment">// average minimum distance of all samples</span></div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="keywordtype">double</span> past_dmin = 1.f; <span class="comment">// average minimum distance of all samples</span></div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  <span class="keywordtype">double</span> dmin_ratio = 1.f; <span class="comment">// change per step</span></div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  </div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  <span class="comment">// Loop alpha from 1 to slpha_min</span></div>
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keywordflow">for</span> (; alpha > 0 && dmin_ratio > 1e-5; alpha -= 1e-4, iter++) {</div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span>  <span class="comment">// Loop for each sample pattern in the data set</span></div>
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<div class="line"><a name="l00288"></a><span class="lineno"> 288</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> sample = 0; sample < num_samples; sample++) {</div>
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<div class="line"><a name="l00289"></a><span class="lineno"> 289</span>  <span class="comment">// update weights for the current input pattern sample</span></div>
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<div class="line"><a name="l00290"></a><span class="lineno"> 290</span>  dmin += <a class="code" href="../../d8/d77/namespacemachine__learning.html#ac4010fe3a52a74e8b5b1aaadfe38b46f">update_weights</a>(X[sample], W, &D, alpha, R);</div>
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<div class="line"><a name="l00291"></a><span class="lineno"> 291</span>  }</div>
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<div class="line"><a name="l00292"></a><span class="lineno"> 292</span>  </div>
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<div class="line"><a name="l00293"></a><span class="lineno"> 293</span>  <span class="comment">// every 100th iteration, reduce the neighborhood range</span></div>
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<div class="line"><a name="l00294"></a><span class="lineno"> 294</span>  <span class="keywordflow">if</span> (iter % 300 == 0 && R > 1) {</div>
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<div class="line"><a name="l00295"></a><span class="lineno"> 295</span>  R--;</div>
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<div class="line"><a name="l00296"></a><span class="lineno"> 296</span>  }</div>
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<div class="line"><a name="l00297"></a><span class="lineno"> 297</span>  </div>
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<div class="line"><a name="l00298"></a><span class="lineno"> 298</span>  dmin /= num_samples;</div>
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<div class="line"><a name="l00299"></a><span class="lineno"> 299</span>  </div>
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<div class="line"><a name="l00300"></a><span class="lineno"> 300</span>  <span class="comment">// termination condition variable -> % change in minimum distance</span></div>
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<div class="line"><a name="l00301"></a><span class="lineno"> 301</span>  dmin_ratio = (past_dmin - dmin) / past_dmin;</div>
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<div class="line"><a name="l00302"></a><span class="lineno"> 302</span>  <span class="keywordflow">if</span> (dmin_ratio < 0) {</div>
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<div class="line"><a name="l00303"></a><span class="lineno"> 303</span>  dmin_ratio = 1.f;</div>
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<div class="line"><a name="l00304"></a><span class="lineno"> 304</span>  }</div>
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<div class="line"><a name="l00305"></a><span class="lineno"> 305</span>  past_dmin = dmin;</div>
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<div class="line"><a name="l00306"></a><span class="lineno"> 306</span>  </div>
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<div class="line"><a name="l00307"></a><span class="lineno"> 307</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"iter: "</span> << iter << <span class="stringliteral">"\t alpha: "</span> << alpha << <span class="stringliteral">"\t R: "</span> << R</div>
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<div class="line"><a name="l00308"></a><span class="lineno"> 308</span>  << <span class="stringliteral">"\t d_min: "</span> << dmin_ratio << <span class="stringliteral">"\r"</span>;</div>
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<div class="line"><a name="l00309"></a><span class="lineno"> 309</span>  }</div>
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<div class="line"><a name="l00310"></a><span class="lineno"> 310</span>  </div>
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<div class="line"><a name="l00311"></a><span class="lineno"> 311</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cout</a> << <span class="stringliteral">"\n"</span>;</div>
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<div class="line"><a name="l00312"></a><span class="lineno"> 312</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#acc6a28f40512dbda75ab1a3969248898">◆ </a></span>kohonen_som_tracer()</h2>
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<td class="memname">void machine_learning::kohonen_som_tracer </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> & </td>
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<td class="paramname"><em>X</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> * </td>
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<td class="paramname"><em>W</em>, </td>
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<tr>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>alpha_min</em> </td>
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</tr>
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<tr>
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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>Apply incremental algorithm with updating neighborhood and learning rates on all samples in the given datset.</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">X</td><td>data set </td></tr>
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<tr><td class="paramdir">[in,out]</td><td class="paramname">W</td><td>weights matrix </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">alpha_min</td><td>terminal value of alpha </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 name="l00151"></a><span class="lineno"> 151</span>  {</div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordtype">int</span> num_samples = X.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// number of rows</span></div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  <span class="comment">// int num_features = X[0].size(); // number of columns</span></div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordtype">int</span> num_out = W-><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// number of rows</span></div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordtype">int</span> R = num_out >> 2, iter = 0;</div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordtype">double</span> alpha = 1.f;</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  </div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<double></a> D(num_out);</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  </div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="comment">// Loop alpha from 1 to slpha_min</span></div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordflow">do</span> {</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="comment">// Loop for each sample pattern in the data set</span></div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> sample = 0; sample < num_samples; sample++) {</div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span>  <span class="comment">// update weights for the current input pattern sample</span></div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  <a class="code" href="../../d8/d77/namespacemachine__learning.html#a361674452869413536ee501f053129a8">update_weights</a>(X[sample], W, &D, alpha, R);</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  }</div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  </div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="comment">// every 10th iteration, reduce the neighborhood range</span></div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordflow">if</span> (iter % 10 == 0 && R > 1) {</div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  R--;</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  }</div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  </div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  alpha -= 0.01;</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  iter++;</div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  } <span class="keywordflow">while</span> (alpha > alpha_min);</div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a05b9445c6ab65053b9bf9897a96af82d">◆ </a></span>minmax_scaler()</h2>
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template<typename T > </div>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a><<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a><<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a><T> > > machine_learning::minmax_scaler </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >>> & </td>
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<p>Function to scale given 3D vector using min-max scaler </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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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="paramname">A</td><td>3D vector which will be scaled </td></tr>
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<tr><td class="paramname">low</td><td>new minimum value </td></tr>
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<tr><td class="paramname">high</td><td>new maximum value </td></tr>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>new scaled 3D vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00265"></a><span class="lineno"> 265</span>  {</div>
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<div class="line"><a name="l00266"></a><span class="lineno"> 266</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::vector<std::valarray<T></a>>> B = A; <span class="comment">// Copying into new vector B</span></div>
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<div class="line"><a name="l00267"></a><span class="lineno"> 267</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(B[0]); <span class="comment">// Storing shape of B's every element</span></div>
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<div class="line"><a name="l00268"></a><span class="lineno"> 268</span>  <span class="comment">// As this function is used for scaling training data vector should be of shape (1, X)</span></div>
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<div class="line"><a name="l00269"></a><span class="lineno"> 269</span>  <span class="keywordflow">if</span>(shape.first != 1) {</div>
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<div class="line"><a name="l00270"></a><span class="lineno"> 270</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"ERROR: (MinMax Scaling) Supplied vector is not supported for minmax scaling, shape: "</span>;</div>
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<div class="line"><a name="l00271"></a><span class="lineno"> 271</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << shape << <a class="codeRef" 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 name="l00272"></a><span class="lineno"> 272</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a>(EXIT_FAILURE);</div>
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<div class="line"><a name="l00273"></a><span class="lineno"> 273</span>  }</div>
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<div class="line"><a name="l00274"></a><span class="lineno"> 274</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < shape.second; i++) {</div>
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<div class="line"><a name="l00275"></a><span class="lineno"> 275</span>  T <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">min</a> = B[0][0][i], <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a> = B[0][0][i]; </div>
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<div class="line"><a name="l00276"></a><span class="lineno"> 276</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> j = 0; j < B.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); j++) {</div>
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<div class="line"><a name="l00277"></a><span class="lineno"> 277</span>  <span class="comment">// Updating minimum and maximum values</span></div>
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<div class="line"><a name="l00278"></a><span class="lineno"> 278</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">min</a> = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(min, B[j][0][i]);</div>
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<div class="line"><a name="l00279"></a><span class="lineno"> 279</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">max</a> = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(max, B[j][0][i]);</div>
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<div class="line"><a name="l00280"></a><span class="lineno"> 280</span>  }</div>
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<div class="line"><a name="l00281"></a><span class="lineno"> 281</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> j = 0; j < B.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); j++) {</div>
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<div class="line"><a name="l00282"></a><span class="lineno"> 282</span>  <span class="comment">// Applying min-max scaler formula</span></div>
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<div class="line"><a name="l00283"></a><span class="lineno"> 283</span>  B[j][0][i] = ((B[j][0][i] - <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">min</a>) / (max - min)) * (high - low) + low;</div>
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<div class="line"><a name="l00284"></a><span class="lineno"> 284</span>  }</div>
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<div class="line"><a name="l00285"></a><span class="lineno"> 285</span>  }</div>
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<div class="line"><a name="l00286"></a><span class="lineno"> 286</span>  <span class="keywordflow">return</span> B; <span class="comment">// Return new resultant 3D vector</span></div>
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<div class="line"><a name="l00287"></a><span class="lineno"> 287</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a8c42a1a712b725e2aa7d4e5dc2cebcf9">◆ </a></span>multiply()</h2>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<td class="paramname"><em>B</em> </td>
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<p>Function to multiply two 2D vectors </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>First 2D vector </td></tr>
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<tr><td class="paramname">B</td><td>Second 2D vector </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00434"></a><span class="lineno"> 434</span>  {</div>
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<div class="line"><a name="l00435"></a><span class="lineno"> 435</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape_a = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(A);</div>
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<div class="line"><a name="l00436"></a><span class="lineno"> 436</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape_b = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(B);</div>
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<div class="line"><a name="l00437"></a><span class="lineno"> 437</span>  <span class="comment">// If vectors are not eligible for multiplication</span></div>
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<div class="line"><a name="l00438"></a><span class="lineno"> 438</span>  <span class="keywordflow">if</span>(shape_a.second != shape_b.first ) {</div>
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<div class="line"><a name="l00439"></a><span class="lineno"> 439</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"ERROR: (multiply) Supplied vectors are not eligible for multiplication "</span>;</div>
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<div class="line"><a name="l00440"></a><span class="lineno"> 440</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << shape_a << <span class="stringliteral">" and "</span> << shape_b << <a class="codeRef" 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 name="l00441"></a><span class="lineno"> 441</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a>(EXIT_FAILURE);</div>
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<div class="line"><a name="l00442"></a><span class="lineno"> 442</span>  }</div>
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<div class="line"><a name="l00443"></a><span class="lineno"> 443</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<T></a>> C; <span class="comment">// Vector to store result</span></div>
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<div class="line"><a name="l00444"></a><span class="lineno"> 444</span>  <span class="comment">// Normal matrix multiplication </span></div>
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<div class="line"><a name="l00445"></a><span class="lineno"> 445</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < shape_a.first; i++) {</div>
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<div class="line"><a name="l00446"></a><span class="lineno"> 446</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray<T></a> row;</div>
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<div class="line"><a name="l00447"></a><span class="lineno"> 447</span>  row.resize(shape_b.second);</div>
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<div class="line"><a name="l00448"></a><span class="lineno"> 448</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> j = 0; j < shape_b.second; j++) {</div>
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<div class="line"><a name="l00449"></a><span class="lineno"> 449</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> k = 0; k < shape_a.second; k++) {</div>
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<div class="line"><a name="l00450"></a><span class="lineno"> 450</span>  row[j] += A[i][k] * B[k][j];</div>
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<div class="line"><a name="l00451"></a><span class="lineno"> 451</span>  }</div>
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<div class="line"><a name="l00452"></a><span class="lineno"> 452</span>  }</div>
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<div class="line"><a name="l00453"></a><span class="lineno"> 453</span>  C.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(row);</div>
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<div class="line"><a name="l00454"></a><span class="lineno"> 454</span>  }</div>
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<div class="line"><a name="l00455"></a><span class="lineno"> 455</span>  <span class="keywordflow">return</span> C; <span class="comment">// Return new resultant 2D vector</span></div>
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<div class="line"><a name="l00456"></a><span class="lineno"> 456</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2e7242fd513e4184ad783f5d9658f750">◆ </a></span>operator*()</h2>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<p>Overloaded operator "*" to multiply given 2D vector with scaler </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of both vector and the scaler </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>2D vector to which scaler will be multiplied </td></tr>
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<tr><td class="paramname">val</td><td>Scaler value which will be multiplied </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00332"></a><span class="lineno"> 332</span>  {</div>
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<div class="line"><a name="l00333"></a><span class="lineno"> 333</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> B = A; <span class="comment">// New vector to store resultant vector</span></div>
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<div class="line"><a name="l00334"></a><span class="lineno"> 334</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &b : B) { <span class="comment">// For every row in vector</span></div>
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<div class="line"><a name="l00335"></a><span class="lineno"> 335</span>  b = b * val; <span class="comment">// Multiply row with scaler</span></div>
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<div class="line"><a name="l00336"></a><span class="lineno"> 336</span>  }</div>
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<div class="line"><a name="l00337"></a><span class="lineno"> 337</span>  <span class="keywordflow">return</span> B; <span class="comment">// Return new resultant 2D vector</span></div>
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<div class="line"><a name="l00338"></a><span class="lineno"> 338</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad8791a48ac0f519e9e7e4b333b126c7b">◆ </a></span>operator+()</h2>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<p>Overloaded operator "+" to add two 2D vectors </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>First 2D vector </td></tr>
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<tr><td class="paramname">B</td><td>Second 2D vector </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00386"></a><span class="lineno"> 386</span>  {</div>
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<div class="line"><a name="l00387"></a><span class="lineno"> 387</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape_a = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(A);</div>
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<div class="line"><a name="l00388"></a><span class="lineno"> 388</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape_b = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(B);</div>
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<div class="line"><a name="l00389"></a><span class="lineno"> 389</span>  <span class="comment">// If vectors don't have equal shape</span></div>
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<div class="line"><a name="l00390"></a><span class="lineno"> 390</span>  <span class="keywordflow">if</span>(shape_a.first != shape_b.first || shape_a.second != shape_b.second) {</div>
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<div class="line"><a name="l00391"></a><span class="lineno"> 391</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"ERROR: (vector addition) Supplied vectors have different shapes "</span>;</div>
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<div class="line"><a name="l00392"></a><span class="lineno"> 392</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << shape_a << <span class="stringliteral">" and "</span> << shape_b << <a class="codeRef" 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 name="l00393"></a><span class="lineno"> 393</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a>(EXIT_FAILURE);</div>
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<div class="line"><a name="l00394"></a><span class="lineno"> 394</span>  }</div>
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<div class="line"><a name="l00395"></a><span class="lineno"> 395</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray <T></a>> C;</div>
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<div class="line"><a name="l00396"></a><span class="lineno"> 396</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) { <span class="comment">// For every row</span></div>
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<div class="line"><a name="l00397"></a><span class="lineno"> 397</span>  C.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(A[i] + B[i]); <span class="comment">// Elementwise addition</span></div>
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<div class="line"><a name="l00398"></a><span class="lineno"> 398</span>  }</div>
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<div class="line"><a name="l00399"></a><span class="lineno"> 399</span>  <span class="keywordflow">return</span> C; <span class="comment">// Return new resultant 2D vector</span></div>
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<div class="line"><a name="l00400"></a><span class="lineno"> 400</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a140ec294f73b3ee0709d515d2ee269c1">◆ </a></span>operator-()</h2>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<p>Overloaded operator "-" to add subtract 2D vectors </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00410"></a><span class="lineno"> 410</span>  {</div>
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<div class="line"><a name="l00411"></a><span class="lineno"> 411</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape_a = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(A);</div>
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<div class="line"><a name="l00412"></a><span class="lineno"> 412</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape_b = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(B);</div>
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<div class="line"><a name="l00413"></a><span class="lineno"> 413</span>  <span class="comment">// If vectors don't have equal shape</span></div>
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<div class="line"><a name="l00414"></a><span class="lineno"> 414</span>  <span class="keywordflow">if</span>(shape_a.first != shape_b.first || shape_a.second != shape_b.second) {</div>
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<div class="line"><a name="l00415"></a><span class="lineno"> 415</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"ERROR: (vector subtraction) Supplied vectors have different shapes "</span>;</div>
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<div class="line"><a name="l00416"></a><span class="lineno"> 416</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << shape_a << <span class="stringliteral">" and "</span> << shape_b << <a class="codeRef" 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 name="l00417"></a><span class="lineno"> 417</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/program/exit.html">std::exit</a>(EXIT_FAILURE);</div>
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<div class="line"><a name="l00418"></a><span class="lineno"> 418</span>  }</div>
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<div class="line"><a name="l00419"></a><span class="lineno"> 419</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<T></a>> C; <span class="comment">// Vector to store result</span></div>
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<div class="line"><a name="l00420"></a><span class="lineno"> 420</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) { <span class="comment">// For every row</span></div>
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<div class="line"><a name="l00421"></a><span class="lineno"> 421</span>  C.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(A[i] - B[i]); <span class="comment">// Elementwise substraction</span></div>
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<div class="line"><a name="l00422"></a><span class="lineno"> 422</span>  }</div>
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<div class="line"><a name="l00423"></a><span class="lineno"> 423</span>  <span class="keywordflow">return</span> C; <span class="comment">// Return new resultant 2D vector</span></div>
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<div class="line"><a name="l00424"></a><span class="lineno"> 424</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a8c24000ea2a0ef6a46d06d2717b62984">◆ </a></span>operator/()</h2>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<p>Overloaded operator "/" to divide given 2D vector with scaler </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>2D vector to which scaler will be divided </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00348"></a><span class="lineno"> 348</span>  {</div>
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<div class="line"><a name="l00349"></a><span class="lineno"> 349</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector<std::valarray<double></a>> B = A; <span class="comment">// New vector to store resultant vector</span></div>
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<div class="line"><a name="l00350"></a><span class="lineno"> 350</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &b : B) { <span class="comment">// For every row in vector</span></div>
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<div class="line"><a name="l00351"></a><span class="lineno"> 351</span>  b = b / val; <span class="comment">// Divide row with scaler</span></div>
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<div class="line"><a name="l00352"></a><span class="lineno"> 352</span>  }</div>
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<div class="line"><a name="l00353"></a><span class="lineno"> 353</span>  <span class="keywordflow">return</span> B; <span class="comment">// Return new resultant 2D vector</span></div>
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<div class="line"><a name="l00354"></a><span class="lineno"> 354</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a2a282c162e12f193c58232f26f0fa62d">◆ </a></span>operator<<() <span class="overload">[1/3]</span></h2>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::ostream</a> & </td>
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<p>Overloaded operator "<<" to print a pair </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the pair </td></tr>
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<tr><td class="paramname">out</td><td><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html" title="STL class.">std::ostream</a> to output </td></tr>
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<div class="fragment"><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>  {</div>
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<div class="line"><a name="l00052"></a><span class="lineno"> 52</span>  <span class="comment">// Setting output precision to 4 in case of floating point numbers</span></div>
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<div class="line"><a name="l00053"></a><span class="lineno"> 53</span>  out.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/ios_base/precision.html">precision</a>(4);</div>
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<div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  <span class="comment">// printing pair in the form (p, q)</span></div>
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<div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"("</span> << A.first << <span class="stringliteral">", "</span> << A.second << <span class="stringliteral">")"</span>;</div>
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<div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">return</span> out;</div>
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<div class="line"><a name="l00057"></a><span class="lineno"> 57</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad0302cde64c0479379be18286962f6df">◆ </a></span>operator<<() <span class="overload">[2/3]</span></h2>
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<p>Overloaded operator "<<" to print a 1D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">out</td><td><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html" title="STL class.">std::ostream</a> to output </td></tr>
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<div class="fragment"><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  {</div>
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<div class="line"><a name="l00067"></a><span class="lineno"> 67</span>  <span class="comment">// Setting output precision to 4 in case of floating point numbers</span></div>
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<div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  out.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/ios_base/precision.html">precision</a>(4);</div>
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<div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  <span class="keywordflow">for</span>(<span class="keyword">const</span> <span class="keyword">auto</span> &a : A) { <span class="comment">// For every element in the vector.</span></div>
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<div class="line"><a name="l00070"></a><span class="lineno"> 70</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << a << <span class="charliteral">' '</span>; <span class="comment">// Print element</span></div>
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<div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  }</div>
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<div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <a class="codeRef" 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 name="l00073"></a><span class="lineno"> 73</span>  <span class="keywordflow">return</span> out;</div>
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<div class="line"><a name="l00074"></a><span class="lineno"> 74</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a8e8b54aaa62ad7f906aec0756ca3a500">◆ </a></span>operator<<() <span class="overload">[3/3]</span></h2>
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<p>Overloaded operator "<<" to print 2D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<div class="fragment"><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  {</div>
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<div class="line"><a name="l00033"></a><span class="lineno"> 33</span>  <span class="comment">// Setting output precision to 4 in case of floating point numbers</span></div>
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<div class="line"><a name="l00034"></a><span class="lineno"> 34</span>  out.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/ios_base/precision.html">precision</a>(4); </div>
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<div class="line"><a name="l00035"></a><span class="lineno"> 35</span>  <span class="keywordflow">for</span>(<span class="keyword">const</span> <span class="keyword">auto</span> &a : A) { <span class="comment">// For each row in A</span></div>
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<div class="line"><a name="l00036"></a><span class="lineno"> 36</span>  <span class="keywordflow">for</span>(<span class="keyword">const</span> <span class="keyword">auto</span> &x : a) { <span class="comment">// For each element in row</span></div>
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<div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << x << <span class="charliteral">' '</span>; <span class="comment">// print element </span></div>
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<div class="line"><a name="l00038"></a><span class="lineno"> 38</span>  }</div>
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<div class="line"><a name="l00039"></a><span class="lineno"> 39</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <a class="codeRef" 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 name="l00040"></a><span class="lineno"> 40</span>  }</div>
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<div class="line"><a name="l00041"></a><span class="lineno"> 41</span>  <span class="keywordflow">return</span> out;</div>
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<div class="line"><a name="l00042"></a><span class="lineno"> 42</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4dd9a9df9f8f05327bcf7b58b0a86576">◆ </a></span>pop_back()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a><T> machine_learning::pop_back </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > & </td>
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<p>Function to remove last element from 1D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>1D vector from which last element will be removed </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  {</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray <T></a> B; <span class="comment">// New 1D vector to store resultant vector</span></div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  B.resize(A.size() - 1); <span class="comment">// Resizing it accordingly</span></div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < A.size() - 1; i ++) { <span class="comment">// For every (except last) element in A </span></div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  B[i] = A[i]; <span class="comment">// Copy element in B</span></div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  }</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="keywordflow">return</span> B; <span class="comment">// Return resultant vector</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ad9d119e7520fa5c2d2428433f578c0bc">◆ </a></span>pop_front()</h2>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T > & </td>
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<p>Function to remove first element from 1D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>1D vector from which first element will be removed </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>  {</div>
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<div class="line"><a name="l00102"></a><span class="lineno"> 102</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray <T></a> B; <span class="comment">// New 1D vector to store resultant vector</span></div>
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<div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  B.resize(A.size() - 1); <span class="comment">// Resizing it accordingly</span></div>
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<div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 1; i < A.size(); i ++) { <span class="comment">// // For every (except first) element in A </span></div>
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<div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  B[i - 1] = A[i]; <span class="comment">// Copy element in B with left shifted position</span></div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  }</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordflow">return</span> B; <span class="comment">// Return resultant vector</span></div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a1d577f5d95b774ae97eb6838852d0df5">◆ </a></span>save_u_matrix()</h2>
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<td class="memname">int machine_learning::save_u_matrix </td>
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<td>(</td>
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<td class="paramtype">const char * </td>
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<td class="paramname"><em>fname</em>, </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >>> & </td>
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<td class="paramname"><em>W</em> </td>
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<p>Create the distance matrix or <a href="https://en.wikipedia.org/wiki/U-matrix">U-matrix</a> from the trained 3D weiths matrix and save to disk.</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">fname</td><td>filename to save in (gets overwriten without confirmation) </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">W</td><td>model matrix to save </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>0 if all ok </dd>
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-1 if file creation failed </dd></dl>
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<div class="fragment"><div class="line"><a name="l00143"></a><span class="lineno"> 143</span>  {</div>
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<div class="line"><a name="l00144"></a><span class="lineno"> 144</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a> fp(fname);</div>
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<div class="line"><a name="l00145"></a><span class="lineno"> 145</span>  <span class="keywordflow">if</span> (!fp) { <span class="comment">// error with fopen</span></div>
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<div class="line"><a name="l00146"></a><span class="lineno"> 146</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/io/basic_ostream.html">std::cerr</a> << <span class="stringliteral">"File error ("</span> << fname << <span class="stringliteral">"): "</span> << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/string/byte/strerror.html">std::strerror</a>(errno)</div>
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<div class="line"><a name="l00147"></a><span class="lineno"> 147</span>  << <a class="codeRef" 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 name="l00148"></a><span class="lineno"> 148</span>  <span class="keywordflow">return</span> -1;</div>
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<div class="line"><a name="l00149"></a><span class="lineno"> 149</span>  }</div>
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<div class="line"><a name="l00150"></a><span class="lineno"> 150</span>  </div>
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<div class="line"><a name="l00151"></a><span class="lineno"> 151</span>  <span class="comment">// neighborhood range</span></div>
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<div class="line"><a name="l00152"></a><span class="lineno"> 152</span>  <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> R = 1;</div>
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<div class="line"><a name="l00153"></a><span class="lineno"> 153</span>  </div>
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<div class="line"><a name="l00154"></a><span class="lineno"> 154</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> i = 0; i < W.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); i++) { <span class="comment">// for each x</span></div>
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<div class="line"><a name="l00155"></a><span class="lineno"> 155</span>  <span class="keywordflow">for</span> (<span class="keywordtype">int</span> j = 0; j < W[0].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); j++) { <span class="comment">// for each y</span></div>
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<div class="line"><a name="l00156"></a><span class="lineno"> 156</span>  <span class="keywordtype">double</span> <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/distance.html">distance</a> = 0.f;</div>
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<div class="line"><a name="l00157"></a><span class="lineno"> 157</span>  </div>
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<div class="line"><a name="l00158"></a><span class="lineno"> 158</span>  <span class="keywordtype">int</span> from_x = std::max<int>(0, i - R);</div>
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<div class="line"><a name="l00159"></a><span class="lineno"> 159</span>  <span class="keywordtype">int</span> to_x = std::min<int>(W.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(), i + R + 1);</div>
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<div class="line"><a name="l00160"></a><span class="lineno"> 160</span>  <span class="keywordtype">int</span> from_y = std::max<int>(0, j - R);</div>
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<div class="line"><a name="l00161"></a><span class="lineno"> 161</span>  <span class="keywordtype">int</span> to_y = std::min<int>(W[0].size(), j + R + 1);</div>
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<div class="line"><a name="l00162"></a><span class="lineno"> 162</span>  <span class="keywordtype">int</span> l = 0, m = 0;</div>
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<div class="line"><a name="l00163"></a><span class="lineno"> 163</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00164"></a><span class="lineno"> 164</span> <span class="preprocessor">#pragma omp parallel for reduction(+ : distance)</span></div>
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<div class="line"><a name="l00165"></a><span class="lineno"> 165</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  <span class="keywordflow">for</span> (l = from_x; l < to_x; l++) { <span class="comment">// scan neighborhoor in x</span></div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="keywordflow">for</span> (m = from_y; m < to_y; m++) { <span class="comment">// scan neighborhood in y</span></div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <span class="keyword">auto</span> d = W[i][j] - W[l][m];</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <span class="keywordtype">double</span> d2 = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a>(d, 2).sum();</div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/distance.html">distance</a> += <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>(d2);</div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <span class="comment">// distance += d2;</span></div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  }</div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  }</div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  </div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/distance.html">distance</a> /= R * R; <span class="comment">// mean distance from neighbors</span></div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  fp << <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/distance.html">distance</a>; <span class="comment">// print the mean separation</span></div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  <span class="keywordflow">if</span> (j < W[0].size() - 1) { <span class="comment">// if not the last column</span></div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  fp << <span class="charliteral">','</span>; <span class="comment">// suffix comma</span></div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span>  }</div>
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<div class="line"><a name="l00180"></a><span class="lineno"> 180</span>  }</div>
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<div class="line"><a name="l00181"></a><span class="lineno"> 181</span>  <span class="keywordflow">if</span> (i < W.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>() - 1) { <span class="comment">// if not the last row</span></div>
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<div class="line"><a name="l00182"></a><span class="lineno"> 182</span>  fp << <span class="charliteral">'\n'</span>; <span class="comment">// start a new line</span></div>
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<div class="line"><a name="l00183"></a><span class="lineno"> 183</span>  }</div>
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<div class="line"><a name="l00184"></a><span class="lineno"> 184</span>  }</div>
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<div class="line"><a name="l00185"></a><span class="lineno"> 185</span>  </div>
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<div class="line"><a name="l00186"></a><span class="lineno"> 186</span>  fp.close();</div>
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<div class="line"><a name="l00187"></a><span class="lineno"> 187</span>  <span class="keywordflow">return</span> 0;</div>
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<div class="line"><a name="l00188"></a><span class="lineno"> 188</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a5305cc18d11943d3dc0d66e70d7e9c44">◆ </a></span>sum()</h2>
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<td class="memname">T machine_learning::sum </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<p>Function to get sum of all elements in 2D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>2D vector for which sum is required </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>returns sum of all elements of 2D vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  {</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  T cur_sum = 0; <span class="comment">// Initially sum is zero</span></div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  <span class="keywordflow">for</span>(<span class="keyword">const</span> <span class="keyword">auto</span> &a : A) { <span class="comment">// For every row in A</span></div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  cur_sum += a.sum(); <span class="comment">// Add sum of that row to current sum</span></div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  }</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordflow">return</span> cur_sum; <span class="comment">// Return sum</span></div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ac480dcc290990d8e93093fa08d915830">◆ </a></span>transpose()</h2>
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<td class="memname"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a><<a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a> <T> > machine_learning::transpose </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<p>Function to get transpose of 2D vector </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>2D vector which will be transposed </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>new resultant vector </dd></dl>
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<div class="fragment"><div class="line"><a name="l00363"></a><span class="lineno"> 363</span>  {</div>
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<div class="line"><a name="l00364"></a><span class="lineno"> 364</span>  <span class="keyword">const</span> <span class="keyword">auto</span> shape = <a class="code" href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">get_shape</a>(A); <span class="comment">// Current shape of vector</span></div>
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<div class="line"><a name="l00365"></a><span class="lineno"> 365</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector <std::valarray <T></a> > B; <span class="comment">// New vector to store result</span></div>
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<div class="line"><a name="l00366"></a><span class="lineno"> 366</span>  <span class="comment">// Storing transpose values of A in B</span></div>
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<div class="line"><a name="l00367"></a><span class="lineno"> 367</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> j = 0; j < shape.second; j++) { </div>
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<div class="line"><a name="l00368"></a><span class="lineno"> 368</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray <T></a> row; </div>
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<div class="line"><a name="l00369"></a><span class="lineno"> 369</span>  row.resize(shape.first);</div>
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<div class="line"><a name="l00370"></a><span class="lineno"> 370</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < shape.first; i++) {</div>
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<div class="line"><a name="l00371"></a><span class="lineno"> 371</span>  row[i] = A[i][j];</div>
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<div class="line"><a name="l00372"></a><span class="lineno"> 372</span>  }</div>
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<div class="line"><a name="l00373"></a><span class="lineno"> 373</span>  B.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(row);</div>
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<div class="line"><a name="l00374"></a><span class="lineno"> 374</span>  }</div>
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<div class="line"><a name="l00375"></a><span class="lineno"> 375</span>  <span class="keywordflow">return</span> B; <span class="comment">// Return new resultant 2D vector</span></div>
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<div class="line"><a name="l00376"></a><span class="lineno"> 376</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a73ee7ed3546ab9e8792a92336d0d14ab">◆ </a></span>uniform_random_initialization()</h2>
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<td class="memname">void machine_learning::uniform_random_initialization </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<td class="paramname"><em>A</em>, </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< size_t, size_t > & </td>
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<td class="paramname"><em>shape</em>, </td>
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<td class="paramtype">const T & </td>
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<td class="paramname"><em>low</em>, </td>
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<p>Function to initialize given 2D vector using uniform random initialization </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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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="paramname">A</td><td>2D vector to be initialized </td></tr>
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<tr><td class="paramname">shape</td><td>required shape </td></tr>
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<tr><td class="paramname">low</td><td>lower limit on value </td></tr>
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<tr><td class="paramname">high</td><td>upper limit on value </td></tr>
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<div class="fragment"><div class="line"><a name="l00165"></a><span class="lineno"> 165</span>  {</div>
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<div class="line"><a name="l00166"></a><span class="lineno"> 166</span>  A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/clear.html">clear</a>(); <span class="comment">// Making A empty </span></div>
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<div class="line"><a name="l00167"></a><span class="lineno"> 167</span>  <span class="comment">// Uniform distribution in range [low, high]</span></div>
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<div class="line"><a name="l00168"></a><span class="lineno"> 168</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random.html">std::default_random_engine</a> generator(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/chrono/system_clock/now.html">std::chrono::system_clock::now</a>().time_since_epoch().count());</div>
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<div class="line"><a name="l00169"></a><span class="lineno"> 169</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/random/uniform_real_distribution.html">std::uniform_real_distribution <T></a> distribution(low, high);</div>
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<div class="line"><a name="l00170"></a><span class="lineno"> 170</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < shape.first; i++) { <span class="comment">// For every row </span></div>
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<div class="line"><a name="l00171"></a><span class="lineno"> 171</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray <T></a> row; <span class="comment">// Making empty row which will be inserted in vector</span></div>
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<div class="line"><a name="l00172"></a><span class="lineno"> 172</span>  row.resize(shape.second);</div>
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<div class="line"><a name="l00173"></a><span class="lineno"> 173</span>  <span class="keywordflow">for</span>(<span class="keyword">auto</span> &r : row) { <span class="comment">// For every element in row</span></div>
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<div class="line"><a name="l00174"></a><span class="lineno"> 174</span>  r = distribution(generator); <span class="comment">// copy random number </span></div>
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<div class="line"><a name="l00175"></a><span class="lineno"> 175</span>  } </div>
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<div class="line"><a name="l00176"></a><span class="lineno"> 176</span>  A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(row); <span class="comment">// Insert new row in vector</span></div>
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<div class="line"><a name="l00177"></a><span class="lineno"> 177</span>  }</div>
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<div class="line"><a name="l00178"></a><span class="lineno"> 178</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00179"></a><span class="lineno"> 179</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#abf136b863d804899647f46eeb2e1392b">◆ </a></span>unit_matrix_initialization()</h2>
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<td class="memname">void machine_learning::unit_matrix_initialization </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< size_t, size_t > & </td>
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<td class="paramname"><em>shape</em> </td>
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<p>Function to Intialize 2D vector as unit matrix </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<table class="tparams">
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>2D vector to be initialized </td></tr>
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<tr><td class="paramname">shape</td><td>required shape </td></tr>
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<div class="fragment"><div class="line"><a name="l00191"></a><span class="lineno"> 191</span>  {</div>
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<div class="line"><a name="l00192"></a><span class="lineno"> 192</span>  A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/clear.html">clear</a>(); <span class="comment">// Making A empty </span></div>
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<div class="line"><a name="l00193"></a><span class="lineno"> 193</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < shape.first; i++) {</div>
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<div class="line"><a name="l00194"></a><span class="lineno"> 194</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray <T></a> row; <span class="comment">// Making empty row which will be inserted in vector</span></div>
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<div class="line"><a name="l00195"></a><span class="lineno"> 195</span>  row.resize(shape.second);</div>
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<div class="line"><a name="l00196"></a><span class="lineno"> 196</span>  row[i] = T(1); <span class="comment">// Insert 1 at ith position </span></div>
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<div class="line"><a name="l00197"></a><span class="lineno"> 197</span>  A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(row); <span class="comment">// Insert new row in vector</span></div>
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<div class="line"><a name="l00198"></a><span class="lineno"> 198</span>  }</div>
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<div class="line"><a name="l00199"></a><span class="lineno"> 199</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00200"></a><span class="lineno"> 200</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a361674452869413536ee501f053129a8">◆ </a></span>update_weights() <span class="overload">[1/2]</span></h2>
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<td class="memname">void machine_learning::update_weights </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double > & </td>
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<td class="paramname"><em>x</em>, </td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> * </td>
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<td class="paramname"><em>W</em>, </td>
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<p>Update weights of the SOM using Kohonen algorithm</p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramdir">[in]</td><td class="paramname">X</td><td>data point </td></tr>
|
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<tr><td class="paramdir">[in,out]</td><td class="paramname">W</td><td>weights matrix </td></tr>
|
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<tr><td class="paramdir">[in,out]</td><td class="paramname">D</td><td>temporary vector to store distances </td></tr>
|
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<tr><td class="paramdir">[in]</td><td class="paramname">alpha</td><td>learning rate \(0<\alpha\le1\) </td></tr>
|
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<tr><td class="paramdir">[in]</td><td class="paramname">R</td><td>neighborhood range </td></tr>
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<div class="fragment"><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  {</div>
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<div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordtype">int</span> j = 0, k = 0;</div>
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<div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  <span class="keywordtype">int</span> num_out = W-><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>(); <span class="comment">// number of SOM output nodes</span></div>
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<div class="line"><a name="l00108"></a><span class="lineno"> 108</span>  <span class="comment">// int num_features = x.size(); // number of data features</span></div>
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<div class="line"><a name="l00109"></a><span class="lineno"> 109</span>  </div>
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<div class="line"><a name="l00110"></a><span class="lineno"> 110</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00111"></a><span class="lineno"> 111</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00113"></a><span class="lineno"> 113</span>  <span class="comment">// step 1: for each output point</span></div>
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<div class="line"><a name="l00114"></a><span class="lineno"> 114</span>  <span class="keywordflow">for</span> (j = 0; j < num_out; j++) {</div>
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<div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="comment">// compute Euclidian distance of each output</span></div>
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<div class="line"><a name="l00116"></a><span class="lineno"> 116</span>  <span class="comment">// point from the current sample</span></div>
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<div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  (*D)[j] = (((*W)[j] - x) * ((*W)[j] - x)).sum();</div>
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<div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  }</div>
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<div class="line"><a name="l00119"></a><span class="lineno"> 119</span>  </div>
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<div class="line"><a name="l00120"></a><span class="lineno"> 120</span>  <span class="comment">// step 2: get closest node i.e., node with snallest Euclidian distance to</span></div>
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<div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  <span class="comment">// the current pattern</span></div>
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<div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  <span class="keyword">auto</span> result = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min_element.html">std::min_element</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(*D), <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a>(*D));</div>
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<div class="line"><a name="l00123"></a><span class="lineno"> 123</span>  <span class="comment">// double d_min = *result;</span></div>
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<div class="line"><a name="l00124"></a><span class="lineno"> 124</span>  <span class="keywordtype">int</span> d_min_idx = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/distance.html">std::distance</a>(<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a>(*D), result);</div>
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<div class="line"><a name="l00125"></a><span class="lineno"> 125</span>  </div>
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<div class="line"><a name="l00126"></a><span class="lineno"> 126</span>  <span class="comment">// step 3a: get the neighborhood range</span></div>
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<div class="line"><a name="l00127"></a><span class="lineno"> 127</span>  <span class="keywordtype">int</span> from_node = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(0, d_min_idx - R);</div>
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<div class="line"><a name="l00128"></a><span class="lineno"> 128</span>  <span class="keywordtype">int</span> to_node = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(num_out, d_min_idx + R + 1);</div>
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<div class="line"><a name="l00129"></a><span class="lineno"> 129</span>  </div>
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<div class="line"><a name="l00130"></a><span class="lineno"> 130</span>  <span class="comment">// step 3b: update the weights of nodes in the</span></div>
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<div class="line"><a name="l00131"></a><span class="lineno"> 131</span>  <span class="comment">// neighborhood</span></div>
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<div class="line"><a name="l00132"></a><span class="lineno"> 132</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00133"></a><span class="lineno"> 133</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00134"></a><span class="lineno"> 134</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00135"></a><span class="lineno"> 135</span>  <span class="keywordflow">for</span> (j = from_node; j < to_node; j++) {</div>
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<div class="line"><a name="l00136"></a><span class="lineno"> 136</span>  <span class="comment">// update weights of nodes in the neighborhood</span></div>
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<div class="line"><a name="l00137"></a><span class="lineno"> 137</span>  (*W)[j] += alpha * (x - (*W)[j]);</div>
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<div class="line"><a name="l00138"></a><span class="lineno"> 138</span>  }</div>
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<div class="line"><a name="l00139"></a><span class="lineno"> 139</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#ac4010fe3a52a74e8b5b1aaadfe38b46f">◆ </a></span>update_weights() <span class="overload">[2/2]</span></h2>
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<td class="memname">double machine_learning::update_weights </td>
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<td>(</td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double > & </td>
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<td class="paramname"><em>X</em>, </td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >>> * </td>
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<td class="paramname"><em>W</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< double >> * </td>
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<td class="paramname"><em>D</em>, </td>
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<td class="paramtype">double </td>
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<td class="paramname"><em>alpha</em>, </td>
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<td class="paramtype">int </td>
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<td class="paramname"><em>R</em> </td>
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<td></td>
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<td>)</td>
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</div><div class="memdoc">
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<p>Update weights of the SOM using Kohonen algorithm</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">X</td><td>data point - N features </td></tr>
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<tr><td class="paramdir">[in,out]</td><td class="paramname">W</td><td>weights matrix - PxQxN </td></tr>
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<tr><td class="paramdir">[in,out]</td><td class="paramname">D</td><td>temporary vector to store distances PxQ </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">alpha</td><td>learning rate \(0<\alpha\le1\) </td></tr>
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<tr><td class="paramdir">[in]</td><td class="paramname">R</td><td>neighborhood range </td></tr>
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</table>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>minimum distance of sample and trained weights </dd></dl>
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<div class="fragment"><div class="line"><a name="l00203"></a><span class="lineno"> 203</span>  {</div>
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<div class="line"><a name="l00204"></a><span class="lineno"> 204</span>  <span class="keywordtype">int</span> x = 0, y = 0;</div>
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<div class="line"><a name="l00205"></a><span class="lineno"> 205</span>  <span class="keywordtype">int</span> num_out_x = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(W-><a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()); <span class="comment">// output nodes - in X</span></div>
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<div class="line"><a name="l00206"></a><span class="lineno"> 206</span>  <span class="keywordtype">int</span> num_out_y = <span class="keyword">static_cast<</span><span class="keywordtype">int</span><span class="keyword">></span>(W[0][0].<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/size.html">size</a>()); <span class="comment">// output nodes - in Y</span></div>
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<div class="line"><a name="l00207"></a><span class="lineno"> 207</span>  <span class="comment">// int num_features = static_cast<int>(W[0][0][0].size()); // features =</span></div>
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<div class="line"><a name="l00208"></a><span class="lineno"> 208</span>  <span class="comment">// in Z</span></div>
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<div class="line"><a name="l00209"></a><span class="lineno"> 209</span>  <span class="keywordtype">double</span> d_min = 0.f;</div>
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<div class="line"><a name="l00210"></a><span class="lineno"> 210</span>  </div>
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<div class="line"><a name="l00211"></a><span class="lineno"> 211</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <span class="comment">// step 1: for each output point</span></div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  <span class="keywordflow">for</span> (x = 0; x < num_out_x; x++) {</div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  <span class="keywordflow">for</span> (y = 0; y < num_out_y; y++) {</div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  (*D)[x][y] = 0.f;</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="comment">// compute Euclidian distance of each output</span></div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span>  <span class="comment">// point from the current sample</span></div>
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<div class="line"><a name="l00220"></a><span class="lineno"> 220</span>  <span class="keyword">auto</span> d = ((*W)[x][y] - X);</div>
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<div class="line"><a name="l00221"></a><span class="lineno"> 221</span>  (*D)[x][y] = (d * d).<a class="code" href="../../d8/d77/namespacemachine__learning.html#a5305cc18d11943d3dc0d66e70d7e9c44">sum</a>();</div>
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<div class="line"><a name="l00222"></a><span class="lineno"> 222</span>  (*D)[x][y] = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a>((*D)[x][y]);</div>
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<div class="line"><a name="l00223"></a><span class="lineno"> 223</span>  }</div>
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<div class="line"><a name="l00224"></a><span class="lineno"> 224</span>  }</div>
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<div class="line"><a name="l00225"></a><span class="lineno"> 225</span>  </div>
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<div class="line"><a name="l00226"></a><span class="lineno"> 226</span>  <span class="comment">// step 2: get closest node i.e., node with snallest Euclidian distance</span></div>
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<div class="line"><a name="l00227"></a><span class="lineno"> 227</span>  <span class="comment">// to the current pattern</span></div>
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<div class="line"><a name="l00228"></a><span class="lineno"> 228</span>  <span class="keywordtype">int</span> d_min_x = 0, d_min_y = 0;</div>
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<div class="line"><a name="l00229"></a><span class="lineno"> 229</span>  <a class="code" href="../../d9/d66/group__machine__learning.html#gab53c14440b2b2dd3172c66afc5c2f63f">get_min_2d</a>(*D, &d_min, &d_min_x, &d_min_y);</div>
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<div class="line"><a name="l00230"></a><span class="lineno"> 230</span>  </div>
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<div class="line"><a name="l00231"></a><span class="lineno"> 231</span>  <span class="comment">// step 3a: get the neighborhood range</span></div>
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<div class="line"><a name="l00232"></a><span class="lineno"> 232</span>  <span class="keywordtype">int</span> from_x = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(0, d_min_x - R);</div>
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<div class="line"><a name="l00233"></a><span class="lineno"> 233</span>  <span class="keywordtype">int</span> to_x = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(num_out_x, d_min_x + R + 1);</div>
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<div class="line"><a name="l00234"></a><span class="lineno"> 234</span>  <span class="keywordtype">int</span> from_y = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/max.html">std::max</a>(0, d_min_y - R);</div>
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<div class="line"><a name="l00235"></a><span class="lineno"> 235</span>  <span class="keywordtype">int</span> to_y = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a>(num_out_y, d_min_y + R + 1);</div>
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<div class="line"><a name="l00236"></a><span class="lineno"> 236</span>  </div>
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<div class="line"><a name="l00237"></a><span class="lineno"> 237</span>  <span class="comment">// step 3b: update the weights of nodes in the</span></div>
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<div class="line"><a name="l00238"></a><span class="lineno"> 238</span>  <span class="comment">// neighborhood</span></div>
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<div class="line"><a name="l00239"></a><span class="lineno"> 239</span> <span class="preprocessor">#ifdef _OPENMP</span></div>
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<div class="line"><a name="l00240"></a><span class="lineno"> 240</span> <span class="preprocessor">#pragma omp for</span></div>
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<div class="line"><a name="l00241"></a><span class="lineno"> 241</span> <span class="preprocessor">#endif</span></div>
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<div class="line"><a name="l00242"></a><span class="lineno"> 242</span>  <span class="keywordflow">for</span> (x = from_x; x < to_x; x++) {</div>
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<div class="line"><a name="l00243"></a><span class="lineno"> 243</span>  <span class="keywordflow">for</span> (y = from_y; y < to_y; y++) {</div>
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<div class="line"><a name="l00244"></a><span class="lineno"> 244</span>  <span class="comment">/* you can enable the following normalization if needed.</span></div>
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<div class="line"><a name="l00245"></a><span class="lineno"> 245</span> <span class="comment"> personally, I found it detrimental to convergence */</span></div>
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<div class="line"><a name="l00246"></a><span class="lineno"> 246</span>  <span class="comment">// const double s2pi = sqrt(2.f * M_PI);</span></div>
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<div class="line"><a name="l00247"></a><span class="lineno"> 247</span>  <span class="comment">// double normalize = 1.f / (alpha * s2pi);</span></div>
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<div class="line"><a name="l00248"></a><span class="lineno"> 248</span>  </div>
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<div class="line"><a name="l00249"></a><span class="lineno"> 249</span>  <span class="comment">/* apply scaling inversely proportional to distance from the</span></div>
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<div class="line"><a name="l00250"></a><span class="lineno"> 250</span> <span class="comment"> current node */</span></div>
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<div class="line"><a name="l00251"></a><span class="lineno"> 251</span>  <span class="keywordtype">double</span> d2 =</div>
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<div class="line"><a name="l00252"></a><span class="lineno"> 252</span>  (d_min_x - x) * (d_min_x - x) + (d_min_y - y) * (d_min_y - y);</div>
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<div class="line"><a name="l00253"></a><span class="lineno"> 253</span>  <span class="keywordtype">double</span> scale_factor = <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/math/exp.html">std::exp</a>(-d2 / (2.f * alpha * alpha));</div>
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<div class="line"><a name="l00254"></a><span class="lineno"> 254</span>  </div>
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<div class="line"><a name="l00255"></a><span class="lineno"> 255</span>  (*W)[x][y] += (X - (*W)[x][y]) * alpha * scale_factor;</div>
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<div class="line"><a name="l00256"></a><span class="lineno"> 256</span>  }</div>
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<div class="line"><a name="l00257"></a><span class="lineno"> 257</span>  }</div>
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<div class="line"><a name="l00258"></a><span class="lineno"> 258</span>  <span class="keywordflow">return</span> d_min;</div>
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<div class="line"><a name="l00259"></a><span class="lineno"> 259</span> }</div>
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<h2 class="memtitle"><span class="permalink"><a href="#a4d136cbf20e3126ed9b934ab2d03f18b">◆ </a></span>zeroes_initialization()</h2>
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template<typename T > </div>
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<td class="memname">void machine_learning::zeroes_initialization </td>
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<td>(</td>
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<td class="paramtype"><a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector.html">std::vector</a>< <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a>< T >> & </td>
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<td class="paramtype">const <a class="elRef" target="_blank" href="http://en.cppreference.com/w/cpp/utility/pair.html">std::pair</a>< size_t, size_t > & </td>
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<td class="paramname"><em>shape</em> </td>
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<p>Function to Intialize 2D vector as zeroes </p><dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">T</td><td>typename of the vector </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">A</td><td>2D vector to be initialized </td></tr>
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<tr><td class="paramname">shape</td><td>required shape </td></tr>
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<div class="fragment"><div class="line"><a name="l00211"></a><span class="lineno"> 211</span>  {</div>
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<div class="line"><a name="l00212"></a><span class="lineno"> 212</span>  A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/clear.html">clear</a>(); <span class="comment">// Making A empty </span></div>
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<div class="line"><a name="l00213"></a><span class="lineno"> 213</span>  <span class="keywordflow">for</span>(<span class="keywordtype">size_t</span> i = 0; i < shape.first; i++) {</div>
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<div class="line"><a name="l00214"></a><span class="lineno"> 214</span>  <a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray <T></a> row; <span class="comment">// Making empty row which will be inserted in vector</span></div>
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<div class="line"><a name="l00215"></a><span class="lineno"> 215</span>  row.resize(shape.second); <span class="comment">// By default all elements are zero</span></div>
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<div class="line"><a name="l00216"></a><span class="lineno"> 216</span>  A.<a class="codeRef" target="_blank" href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">push_back</a>(row); <span class="comment">// Insert new row in vector</span></div>
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<div class="line"><a name="l00217"></a><span class="lineno"> 217</span>  }</div>
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<div class="line"><a name="l00218"></a><span class="lineno"> 218</span>  <span class="keywordflow">return</span>;</div>
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<div class="line"><a name="l00219"></a><span class="lineno"> 219</span> }</div>
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<h2 class="groupheader">Variable Documentation</h2>
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<a id="a7220dbb7fa896d83bfb7a50e4fce1786"></a>
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<h2 class="memtitle"><span class="permalink"><a href="#a7220dbb7fa896d83bfb7a50e4fce1786">◆ </a></span>MIN_DISTANCE</h2>
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<td class="memname">constexpr double machine_learning::MIN_DISTANCE = 1e-4</td>
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<span class="mlabels"><span class="mlabel">constexpr</span></span> </td>
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<p>Minimum average distance of image nodes </p>
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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="amax_element_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/max_element.html">std::max_element</a></div><div class="ttdeci">T max_element(T... args)</div></div>
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<div class="ttc" id="anamespacemachine__learning_html_a361674452869413536ee501f053129a8"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a361674452869413536ee501f053129a8">machine_learning::update_weights</a></div><div class="ttdeci">void update_weights(const std::valarray< double > &x, std::vector< std::valarray< double >> *W, std::valarray< double > *D, double alpha, int R)</div><div class="ttdef"><b>Definition:</b> kohonen_som_trace.cpp:103</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 class="ttdoc">STL class.</div></div>
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<div class="ttc" id="asize_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/size.html">std::vector::size</a></div><div class="ttdeci">T size(T... args)</div></div>
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<div class="ttc" id="arandom_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random.html">std::default_random_engine</a></div></div>
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<div class="ttc" id="adistance_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/distance.html">std::distance</a></div><div class="ttdeci">T distance(T... args)</div></div>
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<div class="ttc" id="astrerror_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/string/byte/strerror.html">std::strerror</a></div><div class="ttdeci">T strerror(T... args)</div></div>
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<div class="ttc" id="anamespacemachine__learning_html_ac4010fe3a52a74e8b5b1aaadfe38b46f"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#ac4010fe3a52a74e8b5b1aaadfe38b46f">machine_learning::update_weights</a></div><div class="ttdeci">double update_weights(const std::valarray< double > &X, std::vector< std::vector< std::valarray< double >>> *W, std::vector< std::valarray< double >> *D, double alpha, int R)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:200</div></div>
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<div class="ttc" id="agroup__machine__learning_html_gab53c14440b2b2dd3172c66afc5c2f63f"><div class="ttname"><a href="../../d9/d66/group__machine__learning.html#gab53c14440b2b2dd3172c66afc5c2f63f">get_min_2d</a></div><div class="ttdeci">void get_min_2d(const std::vector< std::valarray< double >> &X, double *val, int *x_idx, int *y_idx)</div><div class="ttdef"><b>Definition:</b> kohonen_som_topology.cpp:105</div></div>
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<div class="ttc" id="asqrt_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/sqrt.html">std::sqrt</a></div><div class="ttdeci">T sqrt(T... args)</div></div>
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<div class="ttc" id="aclear_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/clear.html">std::vector::clear</a></div><div class="ttdeci">T clear(T... args)</div></div>
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<div class="ttc" id="auniform_real_distribution_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/random/uniform_real_distribution.html">std::uniform_real_distribution</a></div></div>
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<div class="ttc" id="apush_back_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/container/vector/push_back.html">std::vector::push_back</a></div><div class="ttdeci">T push_back(T... args)</div></div>
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<div class="ttc" id="abasic_ofstream_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/basic_ofstream.html">std::ofstream</a></div><div class="ttdoc">STL class.</div></div>
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<div class="ttc" id="amin_element_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min_element.html">std::min_element</a></div><div class="ttdeci">T min_element(T... args)</div></div>
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<div class="ttc" id="avalarray_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/valarray.html">std::valarray</a></div><div class="ttdoc">STL class.</div></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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<div class="ttc" id="aswap_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/swap.html">std::swap</a></div><div class="ttdeci">T swap(T... args)</div></div>
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<div class="ttc" id="amin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/algorithm/min.html">std::min</a></div><div class="ttdeci">T min(T... args)</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="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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<div class="ttc" id="abegin_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/begin.html">std::begin</a></div><div class="ttdeci">T begin(T... args)</div></div>
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<div class="ttc" id="anamespacemachine__learning_html_abe6b58ec16abe0f6f8ac195e04aa8abd"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#abe6b58ec16abe0f6f8ac195e04aa8abd">machine_learning::get_shape</a></div><div class="ttdeci">std::pair< size_t, size_t > get_shape(const std::vector< std::valarray< T >> &A)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:243</div></div>
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<div class="ttc" id="amake_pair_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/utility/pair/make_pair.html">std::make_pair</a></div><div class="ttdeci">T make_pair(T... args)</div></div>
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<div class="ttc" id="aend_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/iterator/end.html">std::end</a></div><div class="ttdeci">T end(T... args)</div></div>
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<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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<div class="ttc" id="aprecision_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/io/ios_base/precision.html">std::ostream::precision</a></div><div class="ttdeci">T precision(T... args)</div></div>
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<div class="ttc" id="anamespacemachine__learning_html_a5305cc18d11943d3dc0d66e70d7e9c44"><div class="ttname"><a href="../../d8/d77/namespacemachine__learning.html#a5305cc18d11943d3dc0d66e70d7e9c44">machine_learning::sum</a></div><div class="ttdeci">T sum(const std::vector< std::valarray< T >> &A)</div><div class="ttdef"><b>Definition:</b> vector_ops.hpp:228</div></div>
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<div class="ttc" id="apow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/numeric/math/pow.html">std::pow</a></div><div class="ttdeci">T pow(T... args)</div></div>
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<div class="ttc" id="anow_html"><div class="ttname"><a href="http://en.cppreference.com/w/cpp/chrono/system_clock/now.html">std::chrono::system_clock::now</a></div><div class="ttdeci">T now(T... args)</div></div>
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