410 lines
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410 lines
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<li class="navelem"><a class="el" href="namespacemlpack.html">mlpack</a></li><li class="navelem"><a class="el" href="namespacemlpack_1_1ann.html">ann</a></li><li class="navelem"><a class="el" href="classmlpack_1_1ann_1_1SoftplusFunction.html">SoftplusFunction</a></li> </ul>
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<a href="#pub-static-methods">Static Public Member Functions</a> |
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<div class="headertitle">
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<div class="title">mlpack::ann::SoftplusFunction Class Reference</div> </div>
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</div><!--header-->
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<div class="contents">
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<p>The softplus function, defined by.
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<a href="classmlpack_1_1ann_1_1SoftplusFunction.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:ab2f3f50033e6fddd8ce88e94c54d03f7"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1SoftplusFunction.html#ab2f3f50033e6fddd8ce88e94c54d03f7">Deriv</a> (const double y)</td></tr>
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<tr class="memdesc:ab2f3f50033e6fddd8ce88e94c54d03f7"><td class="mdescLeft"> </td><td class="mdescRight">Computes the first derivative of the softplus function. <a href="#ab2f3f50033e6fddd8ce88e94c54d03f7">More...</a><br /></td></tr>
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<tr class="separator:ab2f3f50033e6fddd8ce88e94c54d03f7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a466e82584960588fe67a9608b51619d1"><td class="memTemplParams" colspan="2">template<typename InputVecType , typename OutputVecType > </td></tr>
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<tr class="memitem:a466e82584960588fe67a9608b51619d1"><td class="memTemplItemLeft" align="right" valign="top">static void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a466e82584960588fe67a9608b51619d1">Deriv</a> (const InputVecType &y, OutputVecType &x)</td></tr>
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<tr class="memdesc:a466e82584960588fe67a9608b51619d1"><td class="mdescLeft"> </td><td class="mdescRight">Computes the first derivatives of the softplus function. <a href="#a466e82584960588fe67a9608b51619d1">More...</a><br /></td></tr>
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<tr class="separator:a466e82584960588fe67a9608b51619d1"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a534de86c72523226dbd21759dc7b05b7"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a534de86c72523226dbd21759dc7b05b7">Fn</a> (const double x)</td></tr>
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<tr class="memdesc:a534de86c72523226dbd21759dc7b05b7"><td class="mdescLeft"> </td><td class="mdescRight">Computes the softplus function. <a href="#a534de86c72523226dbd21759dc7b05b7">More...</a><br /></td></tr>
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<tr class="separator:a534de86c72523226dbd21759dc7b05b7"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3b5253f0ec7fdaefb08444606f41ce1a"><td class="memTemplParams" colspan="2">template<typename InputVecType , typename OutputVecType > </td></tr>
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<tr class="memitem:a3b5253f0ec7fdaefb08444606f41ce1a"><td class="memTemplItemLeft" align="right" valign="top">static void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a3b5253f0ec7fdaefb08444606f41ce1a">Fn</a> (const InputVecType &x, OutputVecType &y)</td></tr>
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<tr class="memdesc:a3b5253f0ec7fdaefb08444606f41ce1a"><td class="mdescLeft"> </td><td class="mdescRight">Computes the softplus function. <a href="#a3b5253f0ec7fdaefb08444606f41ce1a">More...</a><br /></td></tr>
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<tr class="separator:a3b5253f0ec7fdaefb08444606f41ce1a"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9e378ffb1b3a93f3169ea775933c1d43"><td class="memItemLeft" align="right" valign="top">static double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a9e378ffb1b3a93f3169ea775933c1d43">Inv</a> (const double y)</td></tr>
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<tr class="memdesc:a9e378ffb1b3a93f3169ea775933c1d43"><td class="mdescLeft"> </td><td class="mdescRight">Computes the inverse of the softplus function. <a href="#a9e378ffb1b3a93f3169ea775933c1d43">More...</a><br /></td></tr>
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<tr class="separator:a9e378ffb1b3a93f3169ea775933c1d43"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a02ec105e1b6a5443092dd969aeb7c8ba"><td class="memTemplParams" colspan="2">template<typename InputVecType , typename OutputVecType > </td></tr>
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<tr class="memitem:a02ec105e1b6a5443092dd969aeb7c8ba"><td class="memTemplItemLeft" align="right" valign="top">static void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a02ec105e1b6a5443092dd969aeb7c8ba">Inv</a> (const InputVecType &y, OutputVecType &x)</td></tr>
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<tr class="memdesc:a02ec105e1b6a5443092dd969aeb7c8ba"><td class="mdescLeft"> </td><td class="mdescRight">Computes the inverse of the softplus function. <a href="#a02ec105e1b6a5443092dd969aeb7c8ba">More...</a><br /></td></tr>
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<tr class="separator:a02ec105e1b6a5443092dd969aeb7c8ba"><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 softplus function, defined by. </p>
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<p class="formulaDsp">
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<img class="formulaDsp" alt="\begin{eqnarray*} f(x) &=& \ln(1 + e^{x}) \\ f'(x) &=& \frac{1}{1 + e^{-x}} \\ f^{-1}(y) &=& \ln(e^{y} - 1) \end{eqnarray*}" src="form_70.png"/>
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</p>
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<p>Definition at line <a class="el" href="softplus__function_8hpp_source.html#l00043">43</a> of file <a class="el" href="softplus__function_8hpp_source.html">softplus_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::SoftplusFunction::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 softplus 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>f'(x) </dd></dl>
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<p>Definition at line <a class="el" href="softplus__function_8hpp_source.html#l00081">81</a> of file <a class="el" href="softplus__function_8hpp_source.html">softplus_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::SoftplusFunction::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 softplus 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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</dd>
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<p>Definition at line <a class="el" href="softplus__function_8hpp_source.html#l00093">93</a> of file <a class="el" href="softplus__function_8hpp_source.html">softplus_function.hpp</a>.</p>
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<td class="memname">static double mlpack::ann::SoftplusFunction::Fn </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>x</em></td><td>)</td>
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<p>Computes the softplus 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="softplus__function_8hpp_source.html#l00053">53</a> of file <a class="el" href="softplus__function_8hpp_source.html">softplus_function.hpp</a>.</p>
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<p>Referenced by <a class="el" href="softplus__function_8hpp_source.html#l00067">Fn()</a>.</p>
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template<typename InputVecType , typename OutputVecType > </div>
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<td class="memname">static void mlpack::ann::SoftplusFunction::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 softplus 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="softplus__function_8hpp_source.html#l00067">67</a> of file <a class="el" href="softplus__function_8hpp_source.html">softplus_function.hpp</a>.</p>
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<p>References <a class="el" href="softplus__function_8hpp_source.html#l00053">Fn()</a>.</p>
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<td class="memname">static double mlpack::ann::SoftplusFunction::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 softplus 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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<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="softplus__function_8hpp_source.html#l00104">104</a> of file <a class="el" href="softplus__function_8hpp_source.html">softplus_function.hpp</a>.</p>
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<p>Referenced by <a class="el" href="softplus__function_8hpp_source.html#l00116">Inv()</a>.</p>
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template<typename InputVecType , typename OutputVecType > </div>
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<td class="memname">static void mlpack::ann::SoftplusFunction::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="paramtype">OutputVecType & </td>
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<td class="paramname"><em>x</em> </td>
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<p>Computes the inverse of the softplus function. </p>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">y</td><td>Input data. </td></tr>
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<tr><td class="paramname">x</td><td>The resulting inverse of the input data. </td></tr>
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<p>Definition at line <a class="el" href="softplus__function_8hpp_source.html#l00116">116</a> of file <a class="el" href="softplus__function_8hpp_source.html">softplus_function.hpp</a>.</p>
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<p>References <a class="el" href="softplus__function_8hpp_source.html#l00104">Inv()</a>.</p>
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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="softplus__function_8hpp_source.html">softplus_function.hpp</a></li>
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