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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_1kernel.html">kernel</a></li><li class="navelem"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html">SphericalKernel</a></li> </ul>
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<a href="#pub-methods">Public Member Functions</a> &#124;
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<div class="title">mlpack::kernel::SphericalKernel Class Reference</div> </div>
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<p>The spherical kernel, which is 1 when the distance between the two argument points is less than or equal to the bandwidth, or 0 otherwise.
<a href="classmlpack_1_1kernel_1_1SphericalKernel.html#details">More...</a></p>
<table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pub-methods"></a>
Public Member Functions</h2></td></tr>
<tr class="memitem:a0cbbaa98addc71cbd95c71c17fab63ca"><td class="memItemLeft" align="right" valign="top">&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#a0cbbaa98addc71cbd95c71c17fab63ca">SphericalKernel</a> (const double <a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#aeeeceaa0935ccbfd7e3d18931ddd4c14">bandwidth</a>=1.0)</td></tr>
<tr class="memdesc:a0cbbaa98addc71cbd95c71c17fab63ca"><td class="mdescLeft">&#160;</td><td class="mdescRight">Construct the <a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html" title="The spherical kernel, which is 1 when the distance between the two argument points is less than or eq...">SphericalKernel</a> with the given bandwidth. <a href="#a0cbbaa98addc71cbd95c71c17fab63ca">More...</a><br /></td></tr>
<tr class="separator:a0cbbaa98addc71cbd95c71c17fab63ca"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a16cd7229cc692d8eb2ed663dd3a3bdaf"><td class="memTemplParams" colspan="2">template&lt;typename VecTypeA , typename VecTypeB &gt; </td></tr>
<tr class="memitem:a16cd7229cc692d8eb2ed663dd3a3bdaf"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#a16cd7229cc692d8eb2ed663dd3a3bdaf">ConvolutionIntegral</a> (const VecTypeA &amp;a, const VecTypeB &amp;b) const </td></tr>
<tr class="memdesc:a16cd7229cc692d8eb2ed663dd3a3bdaf"><td class="mdescLeft">&#160;</td><td class="mdescRight">Obtains the convolution integral [integral K(||x-a||)K(||b-x||)dx] for the two vectors. <a href="#a16cd7229cc692d8eb2ed663dd3a3bdaf">More...</a><br /></td></tr>
<tr class="separator:a16cd7229cc692d8eb2ed663dd3a3bdaf"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:abc3cd8c42a86d60eea3a55501a6e83f1"><td class="memTemplParams" colspan="2">template&lt;typename VecTypeA , typename VecTypeB &gt; </td></tr>
<tr class="memitem:abc3cd8c42a86d60eea3a55501a6e83f1"><td class="memTemplItemLeft" align="right" valign="top">double&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#abc3cd8c42a86d60eea3a55501a6e83f1">Evaluate</a> (const VecTypeA &amp;a, const VecTypeB &amp;b) const </td></tr>
<tr class="memdesc:abc3cd8c42a86d60eea3a55501a6e83f1"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evaluate the spherical kernel with the given two vectors. <a href="#abc3cd8c42a86d60eea3a55501a6e83f1">More...</a><br /></td></tr>
<tr class="separator:abc3cd8c42a86d60eea3a55501a6e83f1"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae4d6d5d792ed784b4a3e522ee5749342"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#ae4d6d5d792ed784b4a3e522ee5749342">Evaluate</a> (const double t) const </td></tr>
<tr class="memdesc:ae4d6d5d792ed784b4a3e522ee5749342"><td class="mdescLeft">&#160;</td><td class="mdescRight">Evaluate the kernel when only a distance is given, not two points. <a href="#ae4d6d5d792ed784b4a3e522ee5749342">More...</a><br /></td></tr>
<tr class="separator:ae4d6d5d792ed784b4a3e522ee5749342"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:ae06037e9b5dbe050c652c2cea5d135c7"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#ae06037e9b5dbe050c652c2cea5d135c7">Gradient</a> (double t)</td></tr>
<tr class="separator:ae06037e9b5dbe050c652c2cea5d135c7"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a93a055bf91856de641f9553e2022ec28"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#a93a055bf91856de641f9553e2022ec28">Normalizer</a> (size_t dimension) const </td></tr>
<tr class="separator:a93a055bf91856de641f9553e2022ec28"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a44cf7556038ff95d29093cd95a529f9f"><td class="memTemplParams" colspan="2">template&lt;typename Archive &gt; </td></tr>
<tr class="memitem:a44cf7556038ff95d29093cd95a529f9f"><td class="memTemplItemLeft" align="right" valign="top">void&#160;</td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#a44cf7556038ff95d29093cd95a529f9f">Serialize</a> (Archive &amp;ar, const unsigned int)</td></tr>
<tr class="memdesc:a44cf7556038ff95d29093cd95a529f9f"><td class="mdescLeft">&#160;</td><td class="mdescRight">Serialize the object. <a href="#a44cf7556038ff95d29093cd95a529f9f">More...</a><br /></td></tr>
<tr class="separator:a44cf7556038ff95d29093cd95a529f9f"><td class="memSeparator" colspan="2">&#160;</td></tr>
</table><table class="memberdecls">
<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-attribs"></a>
Private Attributes</h2></td></tr>
<tr class="memitem:aeeeceaa0935ccbfd7e3d18931ddd4c14"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#aeeeceaa0935ccbfd7e3d18931ddd4c14">bandwidth</a></td></tr>
<tr class="separator:aeeeceaa0935ccbfd7e3d18931ddd4c14"><td class="memSeparator" colspan="2">&#160;</td></tr>
<tr class="memitem:a4a779b0e23b61bb4e18c1addf4f57579"><td class="memItemLeft" align="right" valign="top">double&#160;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html#a4a779b0e23b61bb4e18c1addf4f57579">bandwidthSquared</a></td></tr>
<tr class="separator:a4a779b0e23b61bb4e18c1addf4f57579"><td class="memSeparator" colspan="2">&#160;</td></tr>
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<a name="details" id="details"></a><h2 class="groupheader">Detailed Description</h2>
<div class="textblock"><p>The spherical kernel, which is 1 when the distance between the two argument points is less than or equal to the bandwidth, or 0 otherwise. </p>
<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00023">23</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
</div><h2 class="groupheader">Constructor &amp; Destructor Documentation</h2>
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<td class="memname">mlpack::kernel::SphericalKernel::SphericalKernel </td>
<td>(</td>
<td class="paramtype">const double&#160;</td>
<td class="paramname"><em>bandwidth</em> = <code>1.0</code></td><td>)</td>
<td></td>
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<p>Construct the <a class="el" href="classmlpack_1_1kernel_1_1SphericalKernel.html" title="The spherical kernel, which is 1 when the distance between the two argument points is less than or eq...">SphericalKernel</a> with the given bandwidth. </p>
<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00029">29</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">double mlpack::kernel::SphericalKernel::ConvolutionIntegral </td>
<td>(</td>
<td class="paramtype">const VecTypeA &amp;&#160;</td>
<td class="paramname"><em>a</em>, </td>
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<td class="paramtype">const VecTypeB &amp;&#160;</td>
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<p>Obtains the convolution integral [integral K(||x-a||)K(||b-x||)dx] for the two vectors. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">VecTypeA</td><td>Type of first vector (arma::vec, arma::sp_vec should be expected). </td></tr>
<tr><td class="paramname">VecTypeB</td><td>Type of second vector. </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>First vector. </td></tr>
<tr><td class="paramname">b</td><td>Second vector. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>the convolution integral value. </dd></dl>
<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00062">62</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
<p>References <a class="el" href="spherical__kernel_8hpp_source.html#l00116">bandwidth</a>, <a class="el" href="classmlpack_1_1metric_1_1LMetric.html#ac55458730b8e36f51d2f2a3741b77181">mlpack::metric::LMetric&lt; TPower, TTakeRoot &gt;::Evaluate()</a>, <a class="el" href="log_8hpp_source.html#l00090">mlpack::Log::Fatal</a>, and <a class="el" href="spherical__kernel_8hpp_source.html#l00088">Normalizer()</a>.</p>
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<td class="memname">double mlpack::kernel::SphericalKernel::Evaluate </td>
<td>(</td>
<td class="paramtype">const VecTypeA &amp;&#160;</td>
<td class="paramname"><em>a</em>, </td>
</tr>
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<td class="paramkey"></td>
<td></td>
<td class="paramtype">const VecTypeB &amp;&#160;</td>
<td class="paramname"><em>b</em>&#160;</td>
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<tr>
<td></td>
<td>)</td>
<td></td><td> const</td>
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<p>Evaluate the spherical kernel with the given two vectors. </p>
<dl class="tparams"><dt>Template Parameters</dt><dd>
<table class="tparams">
<tr><td class="paramname">VecTypeA</td><td>Type of first vector. </td></tr>
<tr><td class="paramname">VecTypeB</td><td>Type of second vector. </td></tr>
</table>
</dd>
</dl>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">a</td><td>First vector. </td></tr>
<tr><td class="paramname">b</td><td>Second vector. </td></tr>
</table>
</dd>
</dl>
<dl class="section return"><dt>Returns</dt><dd>The kernel evaluation between the two vectors. </dd></dl>
<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00044">44</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
<p>References <a class="el" href="spherical__kernel_8hpp_source.html#l00117">bandwidthSquared</a>, and <a class="el" href="classmlpack_1_1metric_1_1LMetric.html#ac55458730b8e36f51d2f2a3741b77181">mlpack::metric::LMetric&lt; TPower, TTakeRoot &gt;::Evaluate()</a>.</p>
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<td class="memname">double mlpack::kernel::SphericalKernel::Evaluate </td>
<td>(</td>
<td class="paramtype">const double&#160;</td>
<td class="paramname"><em>t</em></td><td>)</td>
<td> const</td>
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<p>Evaluate the kernel when only a distance is given, not two points. </p>
<dl class="params"><dt>Parameters</dt><dd>
<table class="params">
<tr><td class="paramname">t</td><td>Argument to kernel. </td></tr>
</table>
</dd>
</dl>
<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00099">99</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
<p>References <a class="el" href="spherical__kernel_8hpp_source.html#l00116">bandwidth</a>.</p>
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<td class="memname">double mlpack::kernel::SphericalKernel::Gradient </td>
<td>(</td>
<td class="paramtype">double&#160;</td>
<td class="paramname"><em>t</em></td><td>)</td>
<td></td>
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<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00103">103</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
<p>References <a class="el" href="spherical__kernel_8hpp_source.html#l00116">bandwidth</a>.</p>
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<td class="memname">double mlpack::kernel::SphericalKernel::Normalizer </td>
<td>(</td>
<td class="paramtype">size_t&#160;</td>
<td class="paramname"><em>dimension</em></td><td>)</td>
<td> const</td>
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<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00088">88</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
<p>References <a class="el" href="spherical__kernel_8hpp_source.html#l00116">bandwidth</a>, and <a class="el" href="prereqs_8hpp_source.html#l00040">M_PI</a>.</p>
<p>Referenced by <a class="el" href="spherical__kernel_8hpp_source.html#l00062">ConvolutionIntegral()</a>.</p>
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<td class="memname">void mlpack::kernel::SphericalKernel::Serialize </td>
<td>(</td>
<td class="paramtype">Archive &amp;&#160;</td>
<td class="paramname"><em>ar</em>, </td>
</tr>
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<td class="paramkey"></td>
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<td class="paramtype">const unsigned&#160;</td>
<td class="paramname"><em>int</em>&#160;</td>
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<td></td>
<td>)</td>
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<p>Serialize the object. </p>
<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00109">109</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
<p>References <a class="el" href="spherical__kernel_8hpp_source.html#l00116">bandwidth</a>, <a class="el" href="spherical__kernel_8hpp_source.html#l00117">bandwidthSquared</a>, and <a class="el" href="serialization__shim_8hpp_source.html#l00094">mlpack::data::CreateNVP()</a>.</p>
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<h2 class="groupheader">Member Data Documentation</h2>
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<td class="memname">double mlpack::kernel::SphericalKernel::bandwidth</td>
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<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00116">116</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
<p>Referenced by <a class="el" href="spherical__kernel_8hpp_source.html#l00062">ConvolutionIntegral()</a>, <a class="el" href="spherical__kernel_8hpp_source.html#l00099">Evaluate()</a>, <a class="el" href="spherical__kernel_8hpp_source.html#l00103">Gradient()</a>, <a class="el" href="spherical__kernel_8hpp_source.html#l00088">Normalizer()</a>, and <a class="el" href="spherical__kernel_8hpp_source.html#l00109">Serialize()</a>.</p>
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<td class="memname">double mlpack::kernel::SphericalKernel::bandwidthSquared</td>
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<p>Definition at line <a class="el" href="spherical__kernel_8hpp_source.html#l00117">117</a> of file <a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a>.</p>
<p>Referenced by <a class="el" href="spherical__kernel_8hpp_source.html#l00044">Evaluate()</a>, and <a class="el" href="spherical__kernel_8hpp_source.html#l00109">Serialize()</a>.</p>
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<hr/>The documentation for this class was generated from the following file:<ul>
<li>src/mlpack/core/kernels/<a class="el" href="spherical__kernel_8hpp_source.html">spherical_kernel.hpp</a></li>
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