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405 lines
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<a href="#pub-static-methods">Static Public Member Functions</a> |
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<div class="title">mlpack::ann::LogisticFunction Class Reference</div> </div>
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</div><!--header-->
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<div class="contents">
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<p>The logistic function, defined by.
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<a href="classmlpack_1_1ann_1_1LogisticFunction.html#details">More...</a></p>
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<table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-static-methods"></a>
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Static Public Member Functions</h2></td></tr>
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<tr class="memitem:a068a36a9f089525012e4d60c8ca35557"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1LogisticFunction.html#a068a36a9f089525012e4d60c8ca35557">Deriv</a> (const double y)</td></tr>
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<tr class="memdesc:a068a36a9f089525012e4d60c8ca35557"><td class="mdescLeft"> </td><td class="mdescRight">Computes the first derivative of the logistic function. <a href="#a068a36a9f089525012e4d60c8ca35557">More...</a><br /></td></tr>
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<tr class="separator:a068a36a9f089525012e4d60c8ca35557"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a75b4c43eb03549807d17027d0d3dd7f6"><td class="memTemplParams" colspan="2">template<typename InputVecType , typename OutputVecType > </td></tr>
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<tr class="memitem:a75b4c43eb03549807d17027d0d3dd7f6"><td class="memTemplItemLeft" align="right" valign="top">static void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1LogisticFunction.html#a75b4c43eb03549807d17027d0d3dd7f6">Deriv</a> (const InputVecType &y, OutputVecType &x)</td></tr>
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<tr class="memdesc:a75b4c43eb03549807d17027d0d3dd7f6"><td class="mdescLeft"> </td><td class="mdescRight">Computes the first derivatives of the logistic function. <a href="#a75b4c43eb03549807d17027d0d3dd7f6">More...</a><br /></td></tr>
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<tr class="separator:a75b4c43eb03549807d17027d0d3dd7f6"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af75b6672b3baf430bc58e712d0b1a82f"><td class="memTemplParams" colspan="2">template<typename eT > </td></tr>
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<tr class="memitem:af75b6672b3baf430bc58e712d0b1a82f"><td class="memTemplItemLeft" align="right" valign="top">static double </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1LogisticFunction.html#af75b6672b3baf430bc58e712d0b1a82f">Fn</a> (const eT x)</td></tr>
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<tr class="memdesc:af75b6672b3baf430bc58e712d0b1a82f"><td class="mdescLeft"> </td><td class="mdescRight">Computes the logistic function. <a href="#af75b6672b3baf430bc58e712d0b1a82f">More...</a><br /></td></tr>
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<tr class="separator:af75b6672b3baf430bc58e712d0b1a82f"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2200886c6c3e4ccf646d09654b17723c"><td class="memTemplParams" colspan="2">template<typename InputVecType , typename OutputVecType > </td></tr>
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<tr class="memitem:a2200886c6c3e4ccf646d09654b17723c"><td class="memTemplItemLeft" align="right" valign="top">static void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1LogisticFunction.html#a2200886c6c3e4ccf646d09654b17723c">Fn</a> (const InputVecType &x, OutputVecType &y)</td></tr>
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<tr class="memdesc:a2200886c6c3e4ccf646d09654b17723c"><td class="mdescLeft"> </td><td class="mdescRight">Computes the logistic function. <a href="#a2200886c6c3e4ccf646d09654b17723c">More...</a><br /></td></tr>
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<tr class="separator:a2200886c6c3e4ccf646d09654b17723c"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac9ad2166977be46593e31bdd8aa9b5e9"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1LogisticFunction.html#ac9ad2166977be46593e31bdd8aa9b5e9">Inv</a> (const double y)</td></tr>
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<tr class="memdesc:ac9ad2166977be46593e31bdd8aa9b5e9"><td class="mdescLeft"> </td><td class="mdescRight">Computes the inverse of the logistic function. <a href="#ac9ad2166977be46593e31bdd8aa9b5e9">More...</a><br /></td></tr>
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<tr class="separator:ac9ad2166977be46593e31bdd8aa9b5e9"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a90c45e5ee5838cf6b4157a6f68f30c80"><td class="memTemplParams" colspan="2">template<typename InputVecType , typename OutputVecType > </td></tr>
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<tr class="memitem:a90c45e5ee5838cf6b4157a6f68f30c80"><td class="memTemplItemLeft" align="right" valign="top">static void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1LogisticFunction.html#a90c45e5ee5838cf6b4157a6f68f30c80">Inv</a> (const InputVecType &y, OutputVecType &x)</td></tr>
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<tr class="memdesc:a90c45e5ee5838cf6b4157a6f68f30c80"><td class="mdescLeft"> </td><td class="mdescRight">Computes the inverse of the logistic function. <a href="#a90c45e5ee5838cf6b4157a6f68f30c80">More...</a><br /></td></tr>
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<tr class="separator:a90c45e5ee5838cf6b4157a6f68f30c80"><td class="memSeparator" colspan="2"> </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>The logistic function, defined by. </p>
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<p class="formulaDsp">
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<img class="formulaDsp" alt="\begin{eqnarray*} f(x) &=& \frac{1}{1 + e^{-x}} \\ f'(x) &=& f(x) * (1 - f(x)) \\ f^{-1}(y) &=& ln(\frac{y}{1-y}) \end{eqnarray*}" src="form_68.png"/>
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</p>
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<p>Definition at line <a class="el" href="logistic__function_8hpp_source.html#l00029">29</a> of file <a class="el" href="logistic__function_8hpp_source.html">logistic_function.hpp</a>.</p>
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</div><h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">static double mlpack::ann::LogisticFunction::Deriv </td>
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<td>(</td>
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<td class="paramtype">const double </td>
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<td class="paramname"><em>y</em></td><td>)</td>
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<p>Computes the first derivative of the logistic function. </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="paramname">x</td><td>Input data. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>f'(x) </dd></dl>
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<p>Definition at line <a class="el" href="logistic__function_8hpp_source.html#l00070">70</a> of file <a class="el" href="logistic__function_8hpp_source.html">logistic_function.hpp</a>.</p>
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template<typename InputVecType , typename OutputVecType > </div>
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<td class="memname">static void mlpack::ann::LogisticFunction::Deriv </td>
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<td>(</td>
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<td class="paramtype">const InputVecType & </td>
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<td class="paramname"><em>y</em>, </td>
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<td>)</td>
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<p>Computes the first derivatives of the logistic function. </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="paramname">y</td><td>Input activations. </td></tr>
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<tr><td class="paramname">x</td><td>The resulting derivatives. </td></tr>
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</table>
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</dd>
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<p>Definition at line <a class="el" href="logistic__function_8hpp_source.html#l00082">82</a> of file <a class="el" href="logistic__function_8hpp_source.html">logistic_function.hpp</a>.</p>
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<td class="memname">static double mlpack::ann::LogisticFunction::Fn </td>
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<td>(</td>
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<td class="paramtype">const eT </td>
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<td class="paramname"><em>x</em></td><td>)</td>
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<p>Computes the logistic function. </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="paramname">x</td><td>Input data. </td></tr>
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<dl class="section return"><dt>Returns</dt><dd>f(x). </dd></dl>
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<p>Definition at line <a class="el" href="logistic__function_8hpp_source.html#l00039">39</a> of file <a class="el" href="logistic__function_8hpp_source.html">logistic_function.hpp</a>.</p>
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<td class="memname">static void mlpack::ann::LogisticFunction::Fn </td>
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<td>(</td>
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<td class="paramtype">const InputVecType & </td>
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<td class="paramname"><em>x</em>, </td>
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<td>)</td>
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<p>Computes the logistic function. </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="paramname">x</td><td>Input data. </td></tr>
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<tr><td class="paramname">y</td><td>The resulting output activation. </td></tr>
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</dd>
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<p>Definition at line <a class="el" href="logistic__function_8hpp_source.html#l00059">59</a> of file <a class="el" href="logistic__function_8hpp_source.html">logistic_function.hpp</a>.</p>
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<td class="memname">static double mlpack::ann::LogisticFunction::Inv </td>
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<td>(</td>
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<td class="paramtype">const double </td>
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<td class="paramname"><em>y</em></td><td>)</td>
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<p>Computes the inverse of the logistic function. </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="paramname">y</td><td>Input data. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>f^{-1}(y) </dd></dl>
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<p>Definition at line <a class="el" href="logistic__function_8hpp_source.html#l00093">93</a> of file <a class="el" href="logistic__function_8hpp_source.html">logistic_function.hpp</a>.</p>
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template<typename InputVecType , typename OutputVecType > </div>
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<td class="memname">static void mlpack::ann::LogisticFunction::Inv </td>
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<td>(</td>
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<td class="paramtype">const InputVecType & </td>
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<td class="paramname"><em>y</em>, </td>
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<td class="paramkey"></td>
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<td></td>
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<td class="paramtype">OutputVecType & </td>
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<td class="paramname"><em>x</em> </td>
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<td></td>
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<td></td><td></td>
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<span class="mlabels"><span class="mlabel">inline</span><span class="mlabel">static</span></span> </td>
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<p>Computes the inverse of the logistic function. </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="paramname">y</td><td>Input data. </td></tr>
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</dd>
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</dl>
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<dl class="section return"><dt>Returns</dt><dd>x The resulting inverse of the input data. </dd></dl>
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<p>Definition at line <a class="el" href="logistic__function_8hpp_source.html#l00105">105</a> of file <a class="el" href="logistic__function_8hpp_source.html">logistic_function.hpp</a>.</p>
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</div>
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</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
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<li>src/mlpack/methods/ann/activation_functions/<a class="el" href="logistic__function_8hpp_source.html">logistic_function.hpp</a></li>
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