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<div class="title">softplus_function.hpp</div> </div>
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<a href="softplus__function_8hpp.html">Go to the documentation of this file.</a><div class="fragment"><div class="line"><a name="l00001"></a><span class="lineno"> 1</span> </div><div class="line"><a name="l00026"></a><span class="lineno"> 26</span> <span class="preprocessor">#ifndef MLPACK_METHODS_ANN_ACTIVATION_FUNCTIONS_SOFTPLUS_FUNCTION_HPP</span></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span> <span class="preprocessor">#define MLPACK_METHODS_ANN_ACTIVATION_FUNCTIONS_SOFTPLUS_FUNCTION_HPP</span></div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span> </div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span> <span class="preprocessor">#include <<a class="code" href="prereqs_8hpp.html">mlpack/prereqs.hpp</a>></span></div><div class="line"><a name="l00030"></a><span class="lineno"> 30</span> </div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> <span class="keyword">namespace </span><a class="code" href="namespacemlpack.html">mlpack</a> {</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span> <span class="keyword">namespace </span>ann {</div><div class="line"><a name="l00033"></a><span class="lineno"> 33</span> </div><div class="line"><a name="l00043"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftplusFunction.html"> 43</a></span> <span class="keyword">class </span><a class="code" href="classmlpack_1_1ann_1_1SoftplusFunction.html">SoftplusFunction</a></div><div class="line"><a name="l00044"></a><span class="lineno"> 44</span> {</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  <span class="keyword">public</span>:</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  </div><div class="line"><a name="l00053"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a534de86c72523226dbd21759dc7b05b7"> 53</a></span>  <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a534de86c72523226dbd21759dc7b05b7">Fn</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> x)</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>  {</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>  <span class="keywordflow">if</span> (x < DBL_MAX)</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>  <span class="keywordflow">return</span> x > -DBL_MAX ? std::log(1 + std::exp(x)) : 0;</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>  <span class="keywordflow">return</span> 1.0;</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>  }</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span> </div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>  <span class="keyword">template</span><<span class="keyword">typename</span> InputVecType, <span class="keyword">typename</span> OutputVecType></div><div class="line"><a name="l00067"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a3b5253f0ec7fdaefb08444606f41ce1a"> 67</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a3b5253f0ec7fdaefb08444606f41ce1a">Fn</a>(<span class="keyword">const</span> InputVecType& x, OutputVecType& y)</div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>  {</div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>  y = x;</div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span> </div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>  <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i < x.n_elem; i++)</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>  y(i) = <a class="code" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a534de86c72523226dbd21759dc7b05b7">Fn</a>(x(i));</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>  }</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span> </div><div class="line"><a name="l00081"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftplusFunction.html#ab2f3f50033e6fddd8ce88e94c54d03f7"> 81</a></span>  <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1ann_1_1SoftplusFunction.html#ab2f3f50033e6fddd8ce88e94c54d03f7">Deriv</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> y)</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>  {</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>  <span class="keywordflow">return</span> 1.0 / (1 + std::exp(-y));</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>  }</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span> </div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  <span class="keyword">template</span><<span class="keyword">typename</span> InputVecType, <span class="keyword">typename</span> OutputVecType></div><div class="line"><a name="l00093"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a466e82584960588fe67a9608b51619d1"> 93</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a466e82584960588fe67a9608b51619d1">Deriv</a>(<span class="keyword">const</span> InputVecType& y, OutputVecType& x)</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>  {</div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>  x = 1.0 / (1 + arma::exp(-y));</div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>  }</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span> </div><div class="line"><a name="l00104"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a9e378ffb1b3a93f3169ea775933c1d43"> 104</a></span>  <span class="keyword">static</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a9e378ffb1b3a93f3169ea775933c1d43">Inv</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> y)</div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>  {</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>  <span class="keywordflow">return</span> y > 0 ? arma::trunc_log(arma::trunc_exp(y) - 1) : 0;</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>  }</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span> </div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">template</span><<span class="keyword">typename</span> InputVecType, <span class="keyword">typename</span> OutputVecType></div><div class="line"><a name="l00116"></a><span class="lineno"><a class="line" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a02ec105e1b6a5443092dd969aeb7c8ba"> 116</a></span>  <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a02ec105e1b6a5443092dd969aeb7c8ba">Inv</a>(<span class="keyword">const</span> InputVecType& y, OutputVecType& x)</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>  {</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>  x = y;</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span> </div><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 < y.n_elem; i++)</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span>  x(i) = <a class="code" href="classmlpack_1_1ann_1_1SoftplusFunction.html#a9e378ffb1b3a93f3169ea775933c1d43">Inv</a>(y(i));</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>  }</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> }; <span class="comment">// class SoftplusFunction</span></div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span> </div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span> } <span class="comment">// namespace ann</span></div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span> } <span class="comment">// namespace mlpack</span></div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span> </div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span> <span class="preprocessor">#endif</span></div><div class="ttc" id="classmlpack_1_1ann_1_1SoftplusFunction_html_ab2f3f50033e6fddd8ce88e94c54d03f7"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftplusFunction.html#ab2f3f50033e6fddd8ce88e94c54d03f7">mlpack::ann::SoftplusFunction::Deriv</a></div><div class="ttdeci">static double Deriv(const double y)</div><div class="ttdoc">Computes the first derivative of the softplus function. </div><div class="ttdef"><b>Definition:</b> <a href="softplus__function_8hpp_source.html#l00081">softplus_function.hpp:81</a></div></div>
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<div class="ttc" id="namespacemlpack_html"><div class="ttname"><a href="namespacemlpack.html">mlpack</a></div><div class="ttdoc">Linear algebra utility functions, generally performed on matrices or vectors. </div><div class="ttdef"><b>Definition:</b> <a href="binarize_8hpp_source.html#l00018">binarize.hpp:18</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftplusFunction_html_a9e378ffb1b3a93f3169ea775933c1d43"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftplusFunction.html#a9e378ffb1b3a93f3169ea775933c1d43">mlpack::ann::SoftplusFunction::Inv</a></div><div class="ttdeci">static double Inv(const double y)</div><div class="ttdoc">Computes the inverse of the softplus function. </div><div class="ttdef"><b>Definition:</b> <a href="softplus__function_8hpp_source.html#l00104">softplus_function.hpp:104</a></div></div>
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<div class="ttc" id="prereqs_8hpp_html"><div class="ttname"><a href="prereqs_8hpp.html">prereqs.hpp</a></div><div class="ttdoc">The core includes that mlpack expects; standard C++ includes and Armadillo. </div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftplusFunction_html_a534de86c72523226dbd21759dc7b05b7"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftplusFunction.html#a534de86c72523226dbd21759dc7b05b7">mlpack::ann::SoftplusFunction::Fn</a></div><div class="ttdeci">static double Fn(const double x)</div><div class="ttdoc">Computes the softplus function. </div><div class="ttdef"><b>Definition:</b> <a href="softplus__function_8hpp_source.html#l00053">softplus_function.hpp:53</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftplusFunction_html_a02ec105e1b6a5443092dd969aeb7c8ba"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftplusFunction.html#a02ec105e1b6a5443092dd969aeb7c8ba">mlpack::ann::SoftplusFunction::Inv</a></div><div class="ttdeci">static void Inv(const InputVecType &y, OutputVecType &x)</div><div class="ttdoc">Computes the inverse of the softplus function. </div><div class="ttdef"><b>Definition:</b> <a href="softplus__function_8hpp_source.html#l00116">softplus_function.hpp:116</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftplusFunction_html_a466e82584960588fe67a9608b51619d1"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftplusFunction.html#a466e82584960588fe67a9608b51619d1">mlpack::ann::SoftplusFunction::Deriv</a></div><div class="ttdeci">static void Deriv(const InputVecType &y, OutputVecType &x)</div><div class="ttdoc">Computes the first derivatives of the softplus function. </div><div class="ttdef"><b>Definition:</b> <a href="softplus__function_8hpp_source.html#l00093">softplus_function.hpp:93</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftplusFunction_html_a3b5253f0ec7fdaefb08444606f41ce1a"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftplusFunction.html#a3b5253f0ec7fdaefb08444606f41ce1a">mlpack::ann::SoftplusFunction::Fn</a></div><div class="ttdeci">static void Fn(const InputVecType &x, OutputVecType &y)</div><div class="ttdoc">Computes the softplus function. </div><div class="ttdef"><b>Definition:</b> <a href="softplus__function_8hpp_source.html#l00067">softplus_function.hpp:67</a></div></div>
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<div class="ttc" id="classmlpack_1_1ann_1_1SoftplusFunction_html"><div class="ttname"><a href="classmlpack_1_1ann_1_1SoftplusFunction.html">mlpack::ann::SoftplusFunction</a></div><div class="ttdoc">The softplus function, defined by. </div><div class="ttdef"><b>Definition:</b> <a href="softplus__function_8hpp_source.html#l00043">softplus_function.hpp:43</a></div></div>
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