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<div class="title">laplacian_kernel.hpp</div> </div>
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<a href="laplacian__kernel_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="l00012"></a><span class="lineno"> 12</span> <span class="preprocessor">#ifndef MLPACK_CORE_KERNELS_LAPLACIAN_KERNEL_HPP</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span> <span class="preprocessor">#define MLPACK_CORE_KERNELS_LAPLACIAN_KERNEL_HPP</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span> </div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span> <span class="preprocessor">#include <<a class="code" href="prereqs_8hpp.html">mlpack/prereqs.hpp</a>></span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span> </div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span> <span class="keyword">namespace </span><a class="code" href="namespacemlpack.html">mlpack</a> {</div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span> <span class="keyword">namespace </span>kernel {</div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span> </div><div class="line"><a name="l00030"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html"> 30</a></span> <span class="keyword">class </span><a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html">LaplacianKernel</a></div><div class="line"><a name="l00031"></a><span class="lineno"> 31</span> {</div><div class="line"><a name="l00032"></a><span class="lineno"> 32</span>  <span class="keyword">public</span>:</div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a6968fb3d4d461196394037e79401fd76"> 36</a></span>  <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a6968fb3d4d461196394037e79401fd76">LaplacianKernel</a>() : <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>(1.0)</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>  { }</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span> </div><div class="line"><a name="l00044"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#af2d60fd48c94f74db932a0f5adf35982"> 44</a></span>  <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#af2d60fd48c94f74db932a0f5adf35982">LaplacianKernel</a>(<span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>) :</div><div class="line"><a name="l00045"></a><span class="lineno"> 45</span>  bandwidth(bandwidth)</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>  { }</div><div class="line"><a name="l00047"></a><span class="lineno"> 47</span> </div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>  <span class="keyword">template</span><<span class="keyword">typename</span> VecTypeA, <span class="keyword">typename</span> VecTypeB></div><div class="line"><a name="l00061"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a994f9e763d66eb96cd73a6834496e2bc"> 61</a></span>  <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a994f9e763d66eb96cd73a6834496e2bc">Evaluate</a>(<span class="keyword">const</span> VecTypeA& a, <span class="keyword">const</span> VecTypeB& b)<span class="keyword"> const</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>  <span class="comment">// The precalculation of gamma saves us a little computation time.</span></div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>  <span class="keywordflow">return</span> exp(-<a class="code" href="classmlpack_1_1metric_1_1LMetric.html#ac55458730b8e36f51d2f2a3741b77181">metric::EuclideanDistance::Evaluate</a>(a, b) / <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>);</div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>  }</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span> </div><div class="line"><a name="l00075"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#ac84bc5a72ef2c3ee2071e4e79368a4f6"> 75</a></span>  <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#ac84bc5a72ef2c3ee2071e4e79368a4f6">Evaluate</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> t)<span class="keyword"> const</span></div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span> <span class="keyword"> </span>{</div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>  <span class="comment">// The precalculation of gamma saves us a little computation time.</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>  <span class="keywordflow">return</span> exp(-t / <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>);</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>  }</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span> </div><div class="line"><a name="l00090"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#ab529a71122f34974c5792cf0296b8755"> 90</a></span>  <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#ab529a71122f34974c5792cf0296b8755">Gradient</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> t)<span class="keyword"> const </span>{</div><div class="line"><a name="l00091"></a><span class="lineno"> 91</span>  <span class="keywordflow">return</span> exp(-t / <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>) / -<a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>;</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>  }</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span> </div><div class="line"><a name="l00095"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a4c7d30c97b0859d0dc12d4be243ec745"> 95</a></span>  <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a4c7d30c97b0859d0dc12d4be243ec745">Bandwidth</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>; }</div><div class="line"><a name="l00097"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#af33423c6278fdf7c116ca5580eb10eca"> 97</a></span>  <span class="keywordtype">double</span>& <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#af33423c6278fdf7c116ca5580eb10eca">Bandwidth</a>() { <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>; }</div><div class="line"><a name="l00098"></a><span class="lineno"> 98</span> </div><div class="line"><a name="l00100"></a><span class="lineno"> 100</span>  <span class="keyword">template</span><<span class="keyword">typename</span> Archive></div><div class="line"><a name="l00101"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a399f4327c25c4923ce98dd14f0e579e2"> 101</a></span>  <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a399f4327c25c4923ce98dd14f0e579e2">Serialize</a>(Archive& 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="l00102"></a><span class="lineno"> 102</span>  {</div><div class="line"><a name="l00103"></a><span class="lineno"> 103</span>  ar & <a class="code" href="namespacemlpack_1_1data.html#a785ee98e0070286ef86eeeea85a74018">data::CreateNVP</a>(<a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>, <span class="stringliteral">"bandwidth"</span>);</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>  }</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="keyword">private</span>:</div><div class="line"><a name="l00108"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0"> 108</a></span>  <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">bandwidth</a>;</div><div class="line"><a name="l00109"></a><span class="lineno"> 109</span> };</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span> </div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span> <span class="keyword">template</span><></div><div class="line"><a name="l00113"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1KernelTraits_3_01LaplacianKernel_01_4.html"> 113</a></span> <span class="keyword">class </span><a class="code" href="classmlpack_1_1kernel_1_1KernelTraits.html">KernelTraits</a><<a class="code" href="classmlpack_1_1kernel_1_1LaplacianKernel.html">LaplacianKernel</a>></div><div class="line"><a name="l00114"></a><span class="lineno"> 114</span> {</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>  <span class="keyword">public</span>:</div><div class="line"><a name="l00117"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1KernelTraits_3_01LaplacianKernel_01_4.html#a3057882456025fdf59e196dc1eeeff93"> 117</a></span>  <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> IsNormalized = <span class="keyword">true</span>;</div><div class="line"><a name="l00119"></a><span class="lineno"><a class="line" href="classmlpack_1_1kernel_1_1KernelTraits_3_01LaplacianKernel_01_4.html#a0cd108cbdbd6d26afdbf9ba2ce89e0d6"> 119</a></span>  <span class="keyword">static</span> <span class="keyword">const</span> <span class="keywordtype">bool</span> UsesSquaredDistance = <span class="keyword">false</span>;</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span> };</div><div class="line"><a name="l00121"></a><span class="lineno"> 121</span> </div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span> } <span class="comment">// namespace kernel</span></div><div class="line"><a name="l00123"></a><span class="lineno"> 123</span> } <span class="comment">// namespace mlpack</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="preprocessor">#endif</span></div><div class="ttc" id="classmlpack_1_1kernel_1_1KernelTraits_html"><div class="ttname"><a href="classmlpack_1_1kernel_1_1KernelTraits.html">mlpack::kernel::KernelTraits</a></div><div class="ttdoc">This is a template class that can provide information about various kernels. </div><div class="ttdef"><b>Definition:</b> <a href="kernel__traits_8hpp_source.html#l00027">kernel_traits.hpp:27</a></div></div>
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<div class="ttc" id="classmlpack_1_1kernel_1_1LaplacianKernel_html_ab529a71122f34974c5792cf0296b8755"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html#ab529a71122f34974c5792cf0296b8755">mlpack::kernel::LaplacianKernel::Gradient</a></div><div class="ttdeci">double Gradient(const double t) const </div><div class="ttdoc">Evaluation of the gradient of the Laplacian kernel given the distance between two points...</div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00090">laplacian_kernel.hpp:90</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_1kernel_1_1LaplacianKernel_html_a994f9e763d66eb96cd73a6834496e2bc"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a994f9e763d66eb96cd73a6834496e2bc">mlpack::kernel::LaplacianKernel::Evaluate</a></div><div class="ttdeci">double Evaluate(const VecTypeA &a, const VecTypeB &b) const </div><div class="ttdoc">Evaluation of the Laplacian kernel. </div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00061">laplacian_kernel.hpp:61</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="namespacemlpack_1_1data_html_a785ee98e0070286ef86eeeea85a74018"><div class="ttname"><a href="namespacemlpack_1_1data.html#a785ee98e0070286ef86eeeea85a74018">mlpack::data::CreateNVP</a></div><div class="ttdeci">FirstShim< T > CreateNVP(T &t, const std::string &name, typename std::enable_if_t< HasSerialize< T >::value > *=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>
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<div class="ttc" id="classmlpack_1_1kernel_1_1LaplacianKernel_html_a399f4327c25c4923ce98dd14f0e579e2"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a399f4327c25c4923ce98dd14f0e579e2">mlpack::kernel::LaplacianKernel::Serialize</a></div><div class="ttdeci">void Serialize(Archive &ar, const unsigned int)</div><div class="ttdoc">Serialize the kernel. </div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00101">laplacian_kernel.hpp:101</a></div></div>
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<div class="ttc" id="classmlpack_1_1metric_1_1LMetric_html_ac55458730b8e36f51d2f2a3741b77181"><div class="ttname"><a href="classmlpack_1_1metric_1_1LMetric.html#ac55458730b8e36f51d2f2a3741b77181">mlpack::metric::LMetric::Evaluate</a></div><div class="ttdeci">static VecTypeA::elem_type Evaluate(const VecTypeA &a, const VecTypeB &b)</div><div class="ttdoc">Computes the distance between two points. </div></div>
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<div class="ttc" id="classmlpack_1_1kernel_1_1LaplacianKernel_html_a6968fb3d4d461196394037e79401fd76"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a6968fb3d4d461196394037e79401fd76">mlpack::kernel::LaplacianKernel::LaplacianKernel</a></div><div class="ttdeci">LaplacianKernel()</div><div class="ttdoc">Default constructor; sets bandwidth to 1.0. </div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00036">laplacian_kernel.hpp:36</a></div></div>
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<div class="ttc" id="classmlpack_1_1kernel_1_1LaplacianKernel_html_af33423c6278fdf7c116ca5580eb10eca"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html#af33423c6278fdf7c116ca5580eb10eca">mlpack::kernel::LaplacianKernel::Bandwidth</a></div><div class="ttdeci">double & Bandwidth()</div><div class="ttdoc">Modify the bandwidth. </div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00097">laplacian_kernel.hpp:97</a></div></div>
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<div class="ttc" id="classmlpack_1_1kernel_1_1LaplacianKernel_html_ac84bc5a72ef2c3ee2071e4e79368a4f6"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html#ac84bc5a72ef2c3ee2071e4e79368a4f6">mlpack::kernel::LaplacianKernel::Evaluate</a></div><div class="ttdeci">double Evaluate(const double t) const </div><div class="ttdoc">Evaluation of the Laplacian kernel given the distance between two points. </div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00075">laplacian_kernel.hpp:75</a></div></div>
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<div class="ttc" id="classmlpack_1_1kernel_1_1LaplacianKernel_html"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html">mlpack::kernel::LaplacianKernel</a></div><div class="ttdoc">The standard Laplacian kernel. </div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00030">laplacian_kernel.hpp:30</a></div></div>
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<div class="ttc" id="classmlpack_1_1kernel_1_1LaplacianKernel_html_a82757c8572fa010b94d3c1501458a4d0"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a82757c8572fa010b94d3c1501458a4d0">mlpack::kernel::LaplacianKernel::bandwidth</a></div><div class="ttdeci">double bandwidth</div><div class="ttdoc">Kernel bandwidth. </div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00108">laplacian_kernel.hpp:108</a></div></div>
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<div class="ttc" id="classmlpack_1_1kernel_1_1LaplacianKernel_html_a4c7d30c97b0859d0dc12d4be243ec745"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html#a4c7d30c97b0859d0dc12d4be243ec745">mlpack::kernel::LaplacianKernel::Bandwidth</a></div><div class="ttdeci">double Bandwidth() const </div><div class="ttdoc">Get the bandwidth. </div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00095">laplacian_kernel.hpp:95</a></div></div>
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<div class="ttc" id="classmlpack_1_1kernel_1_1LaplacianKernel_html_af2d60fd48c94f74db932a0f5adf35982"><div class="ttname"><a href="classmlpack_1_1kernel_1_1LaplacianKernel.html#af2d60fd48c94f74db932a0f5adf35982">mlpack::kernel::LaplacianKernel::LaplacianKernel</a></div><div class="ttdeci">LaplacianKernel(double bandwidth)</div><div class="ttdoc">Construct the Laplacian kernel with a custom bandwidth. </div><div class="ttdef"><b>Definition:</b> <a href="laplacian__kernel_8hpp_source.html#l00044">laplacian_kernel.hpp:44</a></div></div>
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