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485 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_1kernel.html">kernel</a></li><li class="navelem"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html">PolynomialKernel</a></li> </ul>
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<div class="title">mlpack::kernel::PolynomialKernel Class Reference</div> </div>
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<div class="contents">
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<p>The simple polynomial kernel.
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<a href="classmlpack_1_1kernel_1_1PolynomialKernel.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-methods"></a>
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Public Member Functions</h2></td></tr>
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<tr class="memitem:ab1d0cc8fa1c55acde37938c5223ebe0e"><td class="memItemLeft" align="right" valign="top"> </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#ab1d0cc8fa1c55acde37938c5223ebe0e">PolynomialKernel</a> (const double <a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#a1f6fb8a60c0a375048ced813b9aa5637">degree</a>=2.0, const double <a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#a1ee8bdd31064437ad7e515052c0597e0">offset</a>=0.0)</td></tr>
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<tr class="memdesc:ab1d0cc8fa1c55acde37938c5223ebe0e"><td class="mdescLeft"> </td><td class="mdescRight">Construct the Polynomial Kernel with the given offset and degree. <a href="#ab1d0cc8fa1c55acde37938c5223ebe0e">More...</a><br /></td></tr>
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<tr class="separator:ab1d0cc8fa1c55acde37938c5223ebe0e"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:af527262e6e1a2c901e218591691cb1da"><td class="memItemLeft" align="right" valign="top">const double & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#af527262e6e1a2c901e218591691cb1da">Degree</a> () const </td></tr>
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<tr class="memdesc:af527262e6e1a2c901e218591691cb1da"><td class="mdescLeft"> </td><td class="mdescRight">Get the degree of the polynomial. <a href="#af527262e6e1a2c901e218591691cb1da">More...</a><br /></td></tr>
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<tr class="separator:af527262e6e1a2c901e218591691cb1da"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a9052eedd0da94ea91014d4cdeef2e496"><td class="memItemLeft" align="right" valign="top">double & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#a9052eedd0da94ea91014d4cdeef2e496">Degree</a> ()</td></tr>
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<tr class="memdesc:a9052eedd0da94ea91014d4cdeef2e496"><td class="mdescLeft"> </td><td class="mdescRight">Modify the degree of the polynomial. <a href="#a9052eedd0da94ea91014d4cdeef2e496">More...</a><br /></td></tr>
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<tr class="separator:a9052eedd0da94ea91014d4cdeef2e496"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a695e37e2e483960dd1c315b7e006ad88"><td class="memTemplParams" colspan="2">template<typename VecTypeA , typename VecTypeB > </td></tr>
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<tr class="memitem:a695e37e2e483960dd1c315b7e006ad88"><td class="memTemplItemLeft" align="right" valign="top">double </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#a695e37e2e483960dd1c315b7e006ad88">Evaluate</a> (const VecTypeA &a, const VecTypeB &b) const </td></tr>
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<tr class="memdesc:a695e37e2e483960dd1c315b7e006ad88"><td class="mdescLeft"> </td><td class="mdescRight">Simple evaluation of the dot product. <a href="#a695e37e2e483960dd1c315b7e006ad88">More...</a><br /></td></tr>
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<tr class="separator:a695e37e2e483960dd1c315b7e006ad88"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:ac4b840fca56ce1d1b8edf4491c8033fc"><td class="memItemLeft" align="right" valign="top">const double & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#ac4b840fca56ce1d1b8edf4491c8033fc">Offset</a> () const </td></tr>
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<tr class="memdesc:ac4b840fca56ce1d1b8edf4491c8033fc"><td class="mdescLeft"> </td><td class="mdescRight">Get the offset of the dot product of the arguments. <a href="#ac4b840fca56ce1d1b8edf4491c8033fc">More...</a><br /></td></tr>
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<tr class="separator:ac4b840fca56ce1d1b8edf4491c8033fc"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a3ee67efc66134f407dbfce5b55ce0be4"><td class="memItemLeft" align="right" valign="top">double & </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#a3ee67efc66134f407dbfce5b55ce0be4">Offset</a> ()</td></tr>
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<tr class="memdesc:a3ee67efc66134f407dbfce5b55ce0be4"><td class="mdescLeft"> </td><td class="mdescRight">Modify the offset of the dot product of the arguments. <a href="#a3ee67efc66134f407dbfce5b55ce0be4">More...</a><br /></td></tr>
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<tr class="separator:a3ee67efc66134f407dbfce5b55ce0be4"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a2cc10b8d922e940f71ade6b2a2f63085"><td class="memTemplParams" colspan="2">template<typename Archive > </td></tr>
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<tr class="memitem:a2cc10b8d922e940f71ade6b2a2f63085"><td class="memTemplItemLeft" align="right" valign="top">void </td><td class="memTemplItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#a2cc10b8d922e940f71ade6b2a2f63085">Serialize</a> (Archive &ar, const unsigned int)</td></tr>
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<tr class="memdesc:a2cc10b8d922e940f71ade6b2a2f63085"><td class="mdescLeft"> </td><td class="mdescRight">Serialize the kernel. <a href="#a2cc10b8d922e940f71ade6b2a2f63085">More...</a><br /></td></tr>
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<tr class="separator:a2cc10b8d922e940f71ade6b2a2f63085"><td class="memSeparator" colspan="2"> </td></tr>
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</table><table class="memberdecls">
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<tr class="heading"><td colspan="2"><h2 class="groupheader"><a name="pri-attribs"></a>
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Private Attributes</h2></td></tr>
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<tr class="memitem:a1f6fb8a60c0a375048ced813b9aa5637"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#a1f6fb8a60c0a375048ced813b9aa5637">degree</a></td></tr>
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<tr class="memdesc:a1f6fb8a60c0a375048ced813b9aa5637"><td class="mdescLeft"> </td><td class="mdescRight">The degree of the polynomial. <a href="#a1f6fb8a60c0a375048ced813b9aa5637">More...</a><br /></td></tr>
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<tr class="separator:a1f6fb8a60c0a375048ced813b9aa5637"><td class="memSeparator" colspan="2"> </td></tr>
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<tr class="memitem:a1ee8bdd31064437ad7e515052c0597e0"><td class="memItemLeft" align="right" valign="top">double </td><td class="memItemRight" valign="bottom"><a class="el" href="classmlpack_1_1kernel_1_1PolynomialKernel.html#a1ee8bdd31064437ad7e515052c0597e0">offset</a></td></tr>
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<tr class="memdesc:a1ee8bdd31064437ad7e515052c0597e0"><td class="mdescLeft"> </td><td class="mdescRight">The offset of the dot product of the arguments. <a href="#a1ee8bdd31064437ad7e515052c0597e0">More...</a><br /></td></tr>
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<tr class="separator:a1ee8bdd31064437ad7e515052c0597e0"><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 simple polynomial kernel. </p>
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<p>For any two vectors <img class="formulaInl" alt="$ x $" src="form_7.png"/>, <img class="formulaInl" alt="$ y $" src="form_8.png"/>, <img class="formulaInl" alt="$ degree $" src="form_19.png"/> and <img class="formulaInl" alt="$ offset $" src="form_20.png"/>,</p>
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<p class="formulaDsp">
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<img class="formulaDsp" alt="\[ K(x, y) = (x^T * y + offset) ^ {degree}. \]" src="form_21.png"/>
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</p>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00028">28</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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</div><h2 class="groupheader">Constructor & Destructor Documentation</h2>
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<td class="memname">mlpack::kernel::PolynomialKernel::PolynomialKernel </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>degree</em> = <code>2.0</code>, </td>
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<td class="paramkey"></td>
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<td class="paramtype">const double </td>
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<td class="paramname"><em>offset</em> = <code>0.0</code> </td>
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<td>)</td>
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<p>Construct the Polynomial Kernel with the given offset and degree. </p>
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<p>If the arguments are omitted, the default degree is 2 and the default offset is 0.</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">offset</td><td>Offset of the dot product of the arguments. </td></tr>
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<tr><td class="paramname">degree</td><td>Degree of the polynomial. </td></tr>
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</table>
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</dd>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00038">38</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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<h2 class="groupheader">Member Function Documentation</h2>
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<td class="memname">const double& mlpack::kernel::PolynomialKernel::Degree </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td> const</td>
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<p>Get the degree of the polynomial. </p>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00061">61</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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<p>References <a class="el" href="polynomial__kernel_8hpp_source.html#l00080">degree</a>.</p>
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<td class="memname">double& mlpack::kernel::PolynomialKernel::Degree </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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<p>Modify the degree of the polynomial. </p>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00063">63</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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<p>References <a class="el" href="polynomial__kernel_8hpp_source.html#l00080">degree</a>.</p>
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template<typename VecTypeA , typename VecTypeB > </div>
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<td class="memname">double mlpack::kernel::PolynomialKernel::Evaluate </td>
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<td>(</td>
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<td class="paramtype">const VecTypeA & </td>
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<td class="paramname"><em>a</em>, </td>
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<td class="paramtype">const VecTypeB & </td>
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<td class="paramname"><em>b</em> </td>
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<td>)</td>
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<td></td><td> const</td>
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<p>Simple evaluation of the dot product. </p>
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<p>This evaluation uses Armadillo's dot() function.</p>
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<dl class="tparams"><dt>Template Parameters</dt><dd>
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<tr><td class="paramname">VecTypeA</td><td>Type of first vector (should be arma::vec or arma::sp_vec). </td></tr>
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<tr><td class="paramname">VecTypeB</td><td>Type of second vector (arma::vec / arma::sp_vec). </td></tr>
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<dl class="params"><dt>Parameters</dt><dd>
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<tr><td class="paramname">a</td><td>First vector. </td></tr>
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<tr><td class="paramname">b</td><td>Second vector. </td></tr>
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</dd>
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<dl class="section return"><dt>Returns</dt><dd>K(a, b). </dd></dl>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00055">55</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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<p>References <a class="el" href="polynomial__kernel_8hpp_source.html#l00080">degree</a>, and <a class="el" href="polynomial__kernel_8hpp_source.html#l00082">offset</a>.</p>
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<td class="memname">const double& mlpack::kernel::PolynomialKernel::Offset </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td> const</td>
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<p>Get the offset of the dot product of the arguments. </p>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00066">66</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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<p>References <a class="el" href="polynomial__kernel_8hpp_source.html#l00082">offset</a>.</p>
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<td class="memname">double& mlpack::kernel::PolynomialKernel::Offset </td>
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<td>(</td>
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<td class="paramname"></td><td>)</td>
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<td></td>
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<p>Modify the offset of the dot product of the arguments. </p>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00068">68</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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<p>References <a class="el" href="polynomial__kernel_8hpp_source.html#l00082">offset</a>.</p>
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template<typename Archive > </div>
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<td class="memname">void mlpack::kernel::PolynomialKernel::Serialize </td>
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<p>Serialize the kernel. </p>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00072">72</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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<p>References <a class="el" href="serialization__shim_8hpp_source.html#l00094">mlpack::data::CreateNVP()</a>, <a class="el" href="polynomial__kernel_8hpp_source.html#l00080">degree</a>, and <a class="el" href="polynomial__kernel_8hpp_source.html#l00082">offset</a>.</p>
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<h2 class="groupheader">Member Data Documentation</h2>
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<td class="memname">double mlpack::kernel::PolynomialKernel::degree</td>
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<span class="mlabels"><span class="mlabel">private</span></span> </td>
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<p>The degree of the polynomial. </p>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00080">80</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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<p>Referenced by <a class="el" href="polynomial__kernel_8hpp_source.html#l00061">Degree()</a>, <a class="el" href="polynomial__kernel_8hpp_source.html#l00055">Evaluate()</a>, and <a class="el" href="polynomial__kernel_8hpp_source.html#l00072">Serialize()</a>.</p>
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<td class="memname">double mlpack::kernel::PolynomialKernel::offset</td>
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<span class="mlabels"><span class="mlabel">private</span></span> </td>
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<p>The offset of the dot product of the arguments. </p>
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<p>Definition at line <a class="el" href="polynomial__kernel_8hpp_source.html#l00082">82</a> of file <a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a>.</p>
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<p>Referenced by <a class="el" href="polynomial__kernel_8hpp_source.html#l00055">Evaluate()</a>, <a class="el" href="polynomial__kernel_8hpp_source.html#l00066">Offset()</a>, and <a class="el" href="polynomial__kernel_8hpp_source.html#l00072">Serialize()</a>.</p>
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</div>
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<hr/>The documentation for this class was generated from the following file:<ul>
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<li>src/mlpack/core/kernels/<a class="el" href="polynomial__kernel_8hpp_source.html">polynomial_kernel.hpp</a></li>
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