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<a href="laplace__distribution_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>&#160;<span class="comment">/*</span></div><div class="line"><a name="l00002"></a><span class="lineno"> 2</span>&#160;<span class="comment"> * @file laplace.hpp</span></div><div class="line"><a name="l00003"></a><span class="lineno"> 3</span>&#160;<span class="comment"> * @author Zhihao Lou</span></div><div class="line"><a name="l00004"></a><span class="lineno"> 4</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00005"></a><span class="lineno"> 5</span>&#160;<span class="comment"> * Laplace (double exponential) distribution used in SA.</span></div><div class="line"><a name="l00006"></a><span class="lineno"> 6</span>&#160;<span class="comment"> *</span></div><div class="line"><a name="l00007"></a><span class="lineno"> 7</span>&#160;<span class="comment"> * mlpack is free software; you may redistribute it and/or modify it under the</span></div><div class="line"><a name="l00008"></a><span class="lineno"> 8</span>&#160;<span class="comment"> * terms of the 3-clause BSD license. You should have received a copy of the</span></div><div class="line"><a name="l00009"></a><span class="lineno"> 9</span>&#160;<span class="comment"> * 3-clause BSD license along with mlpack. If not, see</span></div><div class="line"><a name="l00010"></a><span class="lineno"> 10</span>&#160;<span class="comment"> * http://www.opensource.org/licenses/BSD-3-Clause for more information.</span></div><div class="line"><a name="l00011"></a><span class="lineno"> 11</span>&#160;<span class="comment"> */</span></div><div class="line"><a name="l00012"></a><span class="lineno"> 12</span>&#160;</div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="preprocessor">#ifndef MLPACK_CORE_DISTRIBUTIONS_LAPLACE_DISTRIBUTION_HPP</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#define MLPACK_CORE_DISTRIBUTIONS_LAPLACE_DISTRIBUTION_HPP</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;</div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacemlpack.html">mlpack</a> {</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="keyword">namespace </span>distribution {</div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;</div><div class="line"><a name="l00049"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html"> 49</a></span>&#160;<span class="keyword">class </span><a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html">LaplaceDistribution</a></div><div class="line"><a name="l00050"></a><span class="lineno"> 50</span>&#160;{</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l00056"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a86ffa697bf4433eeedd821e21814e8c1"> 56</a></span>&#160; <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a86ffa697bf4433eeedd821e21814e8c1">LaplaceDistribution</a>() : <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">scale</a>(0) { }</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160;</div><div class="line"><a name="l00065"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a7640d9e44274543a3de23efcdffb5dc4"> 65</a></span>&#160; <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a7640d9e44274543a3de23efcdffb5dc4">LaplaceDistribution</a>(<span class="keyword">const</span> <span class="keywordtype">size_t</span> dimensionality, <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">scale</a>) :</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160; <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>(arma::zeros&lt;arma::vec&gt;(dimensionality)), scale(scale) { }</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160;</div><div class="line"><a name="l00074"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a43085e00709c404e239e2e1e1b81ac8d"> 74</a></span>&#160; <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a43085e00709c404e239e2e1e1b81ac8d">LaplaceDistribution</a>(<span class="keyword">const</span> arma::vec&amp; <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>, <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">scale</a>) :</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; mean(mean), scale(scale) { }</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160;</div><div class="line"><a name="l00078"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#aee5446188abfc0e81ef81bfa2c3aa0ea"> 78</a></span>&#160; <span class="keywordtype">size_t</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#aee5446188abfc0e81ef81bfa2c3aa0ea">Dimensionality</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>.n_elem; }</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;</div><div class="line"><a name="l00083"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#acdfa14719772fee675dbe8b6726e110d"> 83</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#acdfa14719772fee675dbe8b6726e110d">Probability</a>(<span class="keyword">const</span> arma::vec&amp; observation)<span class="keyword"> const</span></div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160;<span class="keyword"> </span>{</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; <span class="keywordflow">return</span> exp(<a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a12e472d07678ac943481ccdcf8147b4a">LogProbability</a>(observation));</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; }</div><div class="line"><a name="l00087"></a><span class="lineno"> 87</span>&#160;</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>&#160; <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a12e472d07678ac943481ccdcf8147b4a">LogProbability</a>(<span class="keyword">const</span> arma::vec&amp; observation) <span class="keyword">const</span>;</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;</div><div class="line"><a name="l00099"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a0414b3b74f6d5785df01683a02264612"> 99</a></span>&#160; arma::vec <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a0414b3b74f6d5785df01683a02264612">Random</a>()<span class="keyword"> const</span></div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>&#160;<span class="keyword"> </span>{</div><div class="line"><a name="l00101"></a><span class="lineno"> 101</span>&#160; arma::vec result(<a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>.n_elem);</div><div class="line"><a name="l00102"></a><span class="lineno"> 102</span>&#160; result.randu();</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>&#160;</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="comment">// Convert from uniform distribution to Laplace distribution.</span></div><div class="line"><a name="l00105"></a><span class="lineno"> 105</span>&#160; <span class="comment">// arma::sign() does not exist in Armadillo &lt; 3.920 so we have to do this</span></div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="comment">// elementwise.</span></div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; result.n_elem; ++i)</div><div class="line"><a name="l00108"></a><span class="lineno"> 108</span>&#160; {</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span>&#160; <span class="keywordflow">if</span> (result[i] &lt; 0.5)</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160; result[i] = <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>[i] + <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">scale</a> * std::log(1 + 2.0 * (result[i] - 0.5));</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="keywordflow">else</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; result[i] = <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>[i] - <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">scale</a> * std::log(1 - 2.0 * (result[i] - 0.5));</div><div class="line"><a name="l00113"></a><span class="lineno"> 113</span>&#160; }</div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span>&#160;</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; <span class="keywordflow">return</span> result;</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; }</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160;</div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a4049953f22414dc7346e63dba1dc2a7f">Estimate</a>(<span class="keyword">const</span> arma::mat&amp; observations);</div><div class="line"><a name="l00124"></a><span class="lineno"> 124</span>&#160;</div><div class="line"><a name="l00130"></a><span class="lineno"> 130</span>&#160; <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a4049953f22414dc7346e63dba1dc2a7f">Estimate</a>(<span class="keyword">const</span> arma::mat&amp; observations,</div><div class="line"><a name="l00131"></a><span class="lineno"> 131</span>&#160; <span class="keyword">const</span> arma::vec&amp; probabilities);</div><div class="line"><a name="l00132"></a><span class="lineno"> 132</span>&#160;</div><div class="line"><a name="l00134"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a55159319b94c25e95a4290f1d2ea4a36"> 134</a></span>&#160; <span class="keyword">const</span> arma::vec&amp; <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a55159319b94c25e95a4290f1d2ea4a36">Mean</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>; }</div><div class="line"><a name="l00136"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#ad6ef2371088601675600f75fff21ea49"> 136</a></span>&#160; arma::vec&amp; <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#ad6ef2371088601675600f75fff21ea49">Mean</a>() { <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>; }</div><div class="line"><a name="l00137"></a><span class="lineno"> 137</span>&#160;</div><div class="line"><a name="l00139"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#ac55210a0fbe7d81606525a62b969e155"> 139</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#ac55210a0fbe7d81606525a62b969e155">Scale</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">scale</a>; }</div><div class="line"><a name="l00141"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#aa44f8f78f051c2d8740468f8ff1594a2"> 141</a></span>&#160; <span class="keywordtype">double</span>&amp; <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#aa44f8f78f051c2d8740468f8ff1594a2">Scale</a>() { <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">scale</a>; }</div><div class="line"><a name="l00142"></a><span class="lineno"> 142</span>&#160;</div><div class="line"><a name="l00146"></a><span class="lineno"> 146</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Archive&gt;</div><div class="line"><a name="l00147"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#acef77a8c280cbbc851579635e0f9b754"> 147</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#acef77a8c280cbbc851579635e0f9b754">Serialize</a>(Archive&amp; ar, <span class="keyword">const</span> <span class="keywordtype">unsigned</span> <span class="keywordtype">int</span> <span class="comment">/* version */</span>)</div><div class="line"><a name="l00148"></a><span class="lineno"> 148</span>&#160; {</div><div class="line"><a name="l00149"></a><span class="lineno"> 149</span>&#160; ar &amp; <a class="code" href="namespacemlpack_1_1data.html#a785ee98e0070286ef86eeeea85a74018">data::CreateNVP</a>(<a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>, <span class="stringliteral">&quot;mean&quot;</span>);</div><div class="line"><a name="l00150"></a><span class="lineno"> 150</span>&#160; ar &amp; <a class="code" href="namespacemlpack_1_1data.html#a785ee98e0070286ef86eeeea85a74018">data::CreateNVP</a>(<a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">scale</a>, <span class="stringliteral">&quot;scale&quot;</span>);</div><div class="line"><a name="l00151"></a><span class="lineno"> 151</span>&#160; }</div><div class="line"><a name="l00152"></a><span class="lineno"> 152</span>&#160;</div><div class="line"><a name="l00153"></a><span class="lineno"> 153</span>&#160; <span class="keyword">private</span>:</div><div class="line"><a name="l00155"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b"> 155</a></span>&#160; arma::vec <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mean</a>;</div><div class="line"><a name="l00157"></a><span class="lineno"><a class="line" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65"> 157</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">scale</a>;</div><div class="line"><a name="l00158"></a><span class="lineno"> 158</span>&#160;</div><div class="line"><a name="l00159"></a><span class="lineno"> 159</span>&#160;};</div><div class="line"><a name="l00160"></a><span class="lineno"> 160</span>&#160;</div><div class="line"><a name="l00161"></a><span class="lineno"> 161</span>&#160;} <span class="comment">// namespace distribution</span></div><div class="line"><a name="l00162"></a><span class="lineno"> 162</span>&#160;} <span class="comment">// namespace mlpack</span></div><div class="line"><a name="l00163"></a><span class="lineno"> 163</span>&#160;</div><div class="line"><a name="l00164"></a><span class="lineno"> 164</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_a4049953f22414dc7346e63dba1dc2a7f"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a4049953f22414dc7346e63dba1dc2a7f">mlpack::distribution::LaplaceDistribution::Estimate</a></div><div class="ttdeci">void Estimate(const arma::mat &amp;observations)</div><div class="ttdoc">Estimate the Laplace distribution directly from the given observations. </div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_a0414b3b74f6d5785df01683a02264612"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a0414b3b74f6d5785df01683a02264612">mlpack::distribution::LaplaceDistribution::Random</a></div><div class="ttdeci">arma::vec Random() const </div><div class="ttdoc">Return a randomly generated observation according to the probability distribution defined by this obj...</div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00099">laplace_distribution.hpp:99</a></div></div>
<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>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html">mlpack::distribution::LaplaceDistribution</a></div><div class="ttdoc">The multivariate Laplace distribution centered at 0 has pdf. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00049">laplace_distribution.hpp:49</a></div></div>
<div class="ttc" id="namespacemlpack_1_1data_html_a785ee98e0070286ef86eeeea85a74018"><div class="ttname"><a href="namespacemlpack_1_1data.html#a785ee98e0070286ef86eeeea85a74018">mlpack::data::CreateNVP</a></div><div class="ttdeci">FirstShim&lt; T &gt; CreateNVP(T &amp;t, const std::string &amp;name, typename std::enable_if_t&lt; HasSerialize&lt; T &gt;::value &gt; *=0)</div><div class="ttdoc">Call this function to produce a name-value pair; this is similar to BOOST_SERIALIZATION_NVP(), but should be used for types that have a Serialize() function (or contain a type that has a Serialize() function) instead of a serialize() function. </div><div class="ttdef"><b>Definition:</b> <a href="serialization__shim_8hpp_source.html#l00094">serialization_shim.hpp:94</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_a8bbf1dcc34d9b5cebd1bc364f7d2cb65"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a8bbf1dcc34d9b5cebd1bc364f7d2cb65">mlpack::distribution::LaplaceDistribution::scale</a></div><div class="ttdeci">double scale</div><div class="ttdoc">Scale parameter of the distribution. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00157">laplace_distribution.hpp:157</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_a7640d9e44274543a3de23efcdffb5dc4"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a7640d9e44274543a3de23efcdffb5dc4">mlpack::distribution::LaplaceDistribution::LaplaceDistribution</a></div><div class="ttdeci">LaplaceDistribution(const size_t dimensionality, const double scale)</div><div class="ttdoc">Construct the Laplace distribution with the given scale and dimensionality. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00065">laplace_distribution.hpp:65</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_acdfa14719772fee675dbe8b6726e110d"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#acdfa14719772fee675dbe8b6726e110d">mlpack::distribution::LaplaceDistribution::Probability</a></div><div class="ttdeci">double Probability(const arma::vec &amp;observation) const </div><div class="ttdoc">Return the probability of the given observation. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00083">laplace_distribution.hpp:83</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_a12e472d07678ac943481ccdcf8147b4a"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a12e472d07678ac943481ccdcf8147b4a">mlpack::distribution::LaplaceDistribution::LogProbability</a></div><div class="ttdeci">double LogProbability(const arma::vec &amp;observation) const </div><div class="ttdoc">Return the log probability of the given observation. </div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_a86ffa697bf4433eeedd821e21814e8c1"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a86ffa697bf4433eeedd821e21814e8c1">mlpack::distribution::LaplaceDistribution::LaplaceDistribution</a></div><div class="ttdeci">LaplaceDistribution()</div><div class="ttdoc">Default constructor, which creates a Laplace distribution with zero dimension and zero scale paramete...</div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00056">laplace_distribution.hpp:56</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_acef77a8c280cbbc851579635e0f9b754"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#acef77a8c280cbbc851579635e0f9b754">mlpack::distribution::LaplaceDistribution::Serialize</a></div><div class="ttdeci">void Serialize(Archive &amp;ar, const unsigned int)</div><div class="ttdoc">Serialize the distribution. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00147">laplace_distribution.hpp:147</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_a55159319b94c25e95a4290f1d2ea4a36"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a55159319b94c25e95a4290f1d2ea4a36">mlpack::distribution::LaplaceDistribution::Mean</a></div><div class="ttdeci">const arma::vec &amp; Mean() const </div><div class="ttdoc">Return the mean. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00134">laplace_distribution.hpp:134</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_a43085e00709c404e239e2e1e1b81ac8d"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a43085e00709c404e239e2e1e1b81ac8d">mlpack::distribution::LaplaceDistribution::LaplaceDistribution</a></div><div class="ttdeci">LaplaceDistribution(const arma::vec &amp;mean, const double scale)</div><div class="ttdoc">Construct the Laplace distribution with the given mean and scale parameter. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00074">laplace_distribution.hpp:74</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_aa44f8f78f051c2d8740468f8ff1594a2"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#aa44f8f78f051c2d8740468f8ff1594a2">mlpack::distribution::LaplaceDistribution::Scale</a></div><div class="ttdeci">double &amp; Scale()</div><div class="ttdoc">Modify the scale parameter. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00141">laplace_distribution.hpp:141</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_aee5446188abfc0e81ef81bfa2c3aa0ea"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#aee5446188abfc0e81ef81bfa2c3aa0ea">mlpack::distribution::LaplaceDistribution::Dimensionality</a></div><div class="ttdeci">size_t Dimensionality() const </div><div class="ttdoc">Return the dimensionality of this distribution. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00078">laplace_distribution.hpp:78</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_ac55210a0fbe7d81606525a62b969e155"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#ac55210a0fbe7d81606525a62b969e155">mlpack::distribution::LaplaceDistribution::Scale</a></div><div class="ttdeci">double Scale() const </div><div class="ttdoc">Return the scale parameter. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00139">laplace_distribution.hpp:139</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_ad6ef2371088601675600f75fff21ea49"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#ad6ef2371088601675600f75fff21ea49">mlpack::distribution::LaplaceDistribution::Mean</a></div><div class="ttdeci">arma::vec &amp; Mean()</div><div class="ttdoc">Modify the mean. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00136">laplace_distribution.hpp:136</a></div></div>
<div class="ttc" id="classmlpack_1_1distribution_1_1LaplaceDistribution_html_a3e7efd65f6eb1cd156ba1b1562773b4b"><div class="ttname"><a href="classmlpack_1_1distribution_1_1LaplaceDistribution.html#a3e7efd65f6eb1cd156ba1b1562773b4b">mlpack::distribution::LaplaceDistribution::mean</a></div><div class="ttdeci">arma::vec mean</div><div class="ttdoc">Mean of the distribution. </div><div class="ttdef"><b>Definition:</b> <a href="laplace__distribution_8hpp_source.html#l00155">laplace_distribution.hpp:155</a></div></div>
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