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<a href="quic__svd__method_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;</div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;<span class="preprocessor">#ifndef MLPACK_METHODS_PCA_DECOMPOSITION_POLICIES_QUIC_SVD_METHOD_HPP</span></div><div class="line"><a name="l00015"></a><span class="lineno"> 15</span>&#160;<span class="preprocessor">#define MLPACK_METHODS_PCA_DECOMPOSITION_POLICIES_QUIC_SVD_METHOD_HPP</span></div><div class="line"><a name="l00016"></a><span class="lineno"> 16</span>&#160;</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="prereqs_8hpp.html">mlpack/prereqs.hpp</a>&gt;</span></div><div class="line"><a name="l00018"></a><span class="lineno"> 18</span>&#160;<span class="preprocessor">#include &lt;<a class="code" href="quic__svd_8hpp.html">mlpack/methods/quic_svd/quic_svd.hpp</a>&gt;</span></div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00020"></a><span class="lineno"> 20</span>&#160;<span class="keyword">namespace </span><a class="code" href="namespacemlpack.html">mlpack</a> {</div><div class="line"><a name="l00021"></a><span class="lineno"> 21</span>&#160;<span class="keyword">namespace </span>pca {</div><div class="line"><a name="l00022"></a><span class="lineno"> 22</span>&#160;</div><div class="line"><a name="l00026"></a><span class="lineno"><a class="line" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html"> 26</a></span>&#160;<span class="keyword">class </span><a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html">QUICSVDPolicy</a></div><div class="line"><a name="l00027"></a><span class="lineno"> 27</span>&#160;{</div><div class="line"><a name="l00028"></a><span class="lineno"> 28</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l00029"></a><span class="lineno"> 29</span>&#160;</div><div class="line"><a name="l00036"></a><span class="lineno"><a class="line" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#aefe3bb20691a6ea25e099e1e5d046d82"> 36</a></span>&#160; <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#aefe3bb20691a6ea25e099e1e5d046d82">QUICSVDPolicy</a>(<span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ade9427e54e84eec100874782a52d7a10">epsilon</a> = 0.03, <span class="keyword">const</span> <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a67f8f2736545586e1a5175654e433cc0">delta</a> = 0.1) :</div><div class="line"><a name="l00037"></a><span class="lineno"> 37</span>&#160; <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ade9427e54e84eec100874782a52d7a10">epsilon</a>(<a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ade9427e54e84eec100874782a52d7a10">epsilon</a>),</div><div class="line"><a name="l00038"></a><span class="lineno"> 38</span>&#160; <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a67f8f2736545586e1a5175654e433cc0">delta</a>(<a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a67f8f2736545586e1a5175654e433cc0">delta</a>)</div><div class="line"><a name="l00039"></a><span class="lineno"> 39</span>&#160; {</div><div class="line"><a name="l00040"></a><span class="lineno"> 40</span>&#160; <span class="comment">/* Nothing to do here */</span></div><div class="line"><a name="l00041"></a><span class="lineno"> 41</span>&#160; }</div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;</div><div class="line"><a name="l00054"></a><span class="lineno"><a class="line" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a03029bc2d3e657574c1d5f3c602ee90a"> 54</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a03029bc2d3e657574c1d5f3c602ee90a">Apply</a>(<span class="keyword">const</span> arma::mat&amp; data,</div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; <span class="keyword">const</span> arma::mat&amp; centeredData,</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160; arma::mat&amp; transformedData,</div><div class="line"><a name="l00057"></a><span class="lineno"> 57</span>&#160; arma::vec&amp; eigVal,</div><div class="line"><a name="l00058"></a><span class="lineno"> 58</span>&#160; arma::mat&amp; eigvec,</div><div class="line"><a name="l00059"></a><span class="lineno"> 59</span>&#160; <span class="keyword">const</span> <span class="keywordtype">size_t</span> <span class="comment">/* rank */</span>)</div><div class="line"><a name="l00060"></a><span class="lineno"> 60</span>&#160; {</div><div class="line"><a name="l00061"></a><span class="lineno"> 61</span>&#160; <span class="comment">// This matrix will store the right singular values; we do not need them.</span></div><div class="line"><a name="l00062"></a><span class="lineno"> 62</span>&#160; arma::mat v, sigma;</div><div class="line"><a name="l00063"></a><span class="lineno"> 63</span>&#160;</div><div class="line"><a name="l00064"></a><span class="lineno"> 64</span>&#160; <span class="comment">// Do singular value decomposition using the QUIC-SVD algorithm.</span></div><div class="line"><a name="l00065"></a><span class="lineno"> 65</span>&#160; <a class="code" href="classmlpack_1_1svd_1_1QUIC__SVD.html">svd::QUIC_SVD</a> quicsvd(centeredData, eigvec, v, sigma, <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ade9427e54e84eec100874782a52d7a10">epsilon</a>, <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a67f8f2736545586e1a5175654e433cc0">delta</a>);</div><div class="line"><a name="l00066"></a><span class="lineno"> 66</span>&#160;</div><div class="line"><a name="l00067"></a><span class="lineno"> 67</span>&#160; <span class="comment">// Now we must square the singular values to get the eigenvalues.</span></div><div class="line"><a name="l00068"></a><span class="lineno"> 68</span>&#160; <span class="comment">// In addition we must divide by the number of points, because the</span></div><div class="line"><a name="l00069"></a><span class="lineno"> 69</span>&#160; <span class="comment">// covariance matrix is X * X&#39; / (N - 1).</span></div><div class="line"><a name="l00070"></a><span class="lineno"> 70</span>&#160; eigVal = arma::pow(arma::diagvec(sigma), 2) / (data.n_cols - 1);</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160;</div><div class="line"><a name="l00072"></a><span class="lineno"> 72</span>&#160; <span class="comment">// Project the samples to the principals.</span></div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; transformedData = arma::trans(eigvec) * centeredData;</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; }</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160;</div><div class="line"><a name="l00077"></a><span class="lineno"><a class="line" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a24d41ae5fdedc45753819436bdaabd1e"> 77</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a24d41ae5fdedc45753819436bdaabd1e">Epsilon</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ade9427e54e84eec100874782a52d7a10">epsilon</a>; }</div><div class="line"><a name="l00079"></a><span class="lineno"><a class="line" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a36491255ba3a3b4f8852b926368fc25e"> 79</a></span>&#160; <span class="keywordtype">double</span>&amp; <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a36491255ba3a3b4f8852b926368fc25e">Epsilon</a>() { <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ade9427e54e84eec100874782a52d7a10">epsilon</a>; }</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160;</div><div class="line"><a name="l00082"></a><span class="lineno"><a class="line" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a9ae92375d4eb601f6a47d73d4ecfcd19"> 82</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a9ae92375d4eb601f6a47d73d4ecfcd19">Delta</a>()<span class="keyword"> const </span>{ <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a67f8f2736545586e1a5175654e433cc0">delta</a>; }</div><div class="line"><a name="l00084"></a><span class="lineno"><a class="line" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ab8a9648fbaf9ecaf5e255f1b6ef67a0c"> 84</a></span>&#160; <span class="keywordtype">double</span>&amp; <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ab8a9648fbaf9ecaf5e255f1b6ef67a0c">Delta</a>() { <span class="keywordflow">return</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a67f8f2736545586e1a5175654e433cc0">delta</a>; }</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160;</div><div class="line"><a name="l00086"></a><span class="lineno"> 86</span>&#160; <span class="keyword">private</span>:</div><div class="line"><a name="l00088"></a><span class="lineno"><a class="line" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ade9427e54e84eec100874782a52d7a10"> 88</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ade9427e54e84eec100874782a52d7a10">epsilon</a>;</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;</div><div class="line"><a name="l00091"></a><span class="lineno"><a class="line" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a67f8f2736545586e1a5175654e433cc0"> 91</a></span>&#160; <span class="keywordtype">double</span> <a class="code" href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a67f8f2736545586e1a5175654e433cc0">delta</a>;</div><div class="line"><a name="l00092"></a><span class="lineno"> 92</span>&#160;};</div><div class="line"><a name="l00093"></a><span class="lineno"> 93</span>&#160;</div><div class="line"><a name="l00094"></a><span class="lineno"> 94</span>&#160;} <span class="comment">// namespace pca</span></div><div class="line"><a name="l00095"></a><span class="lineno"> 95</span>&#160;} <span class="comment">// namespace mlpack</span></div><div class="line"><a name="l00096"></a><span class="lineno"> 96</span>&#160;</div><div class="line"><a name="l00097"></a><span class="lineno"> 97</span>&#160;<span class="preprocessor">#endif</span></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="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>
<div class="ttc" id="classmlpack_1_1pca_1_1QUICSVDPolicy_html_a36491255ba3a3b4f8852b926368fc25e"><div class="ttname"><a href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a36491255ba3a3b4f8852b926368fc25e">mlpack::pca::QUICSVDPolicy::Epsilon</a></div><div class="ttdeci">double &amp; Epsilon()</div><div class="ttdoc">Modify the error tolerance fraction for calculated subspace. </div><div class="ttdef"><b>Definition:</b> <a href="quic__svd__method_8hpp_source.html#l00079">quic_svd_method.hpp:79</a></div></div>
<div class="ttc" id="classmlpack_1_1pca_1_1QUICSVDPolicy_html_ade9427e54e84eec100874782a52d7a10"><div class="ttname"><a href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ade9427e54e84eec100874782a52d7a10">mlpack::pca::QUICSVDPolicy::epsilon</a></div><div class="ttdeci">double epsilon</div><div class="ttdoc">Error tolerance fraction for calculated subspace. </div><div class="ttdef"><b>Definition:</b> <a href="quic__svd__method_8hpp_source.html#l00088">quic_svd_method.hpp:88</a></div></div>
<div class="ttc" id="classmlpack_1_1pca_1_1QUICSVDPolicy_html_aefe3bb20691a6ea25e099e1e5d046d82"><div class="ttname"><a href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#aefe3bb20691a6ea25e099e1e5d046d82">mlpack::pca::QUICSVDPolicy::QUICSVDPolicy</a></div><div class="ttdeci">QUICSVDPolicy(const double epsilon=0.03, const double delta=0.1)</div><div class="ttdoc">Use QUIC-SVD method to perform the principal components analysis (PCA). </div><div class="ttdef"><b>Definition:</b> <a href="quic__svd__method_8hpp_source.html#l00036">quic_svd_method.hpp:36</a></div></div>
<div class="ttc" id="classmlpack_1_1pca_1_1QUICSVDPolicy_html_ab8a9648fbaf9ecaf5e255f1b6ef67a0c"><div class="ttname"><a href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#ab8a9648fbaf9ecaf5e255f1b6ef67a0c">mlpack::pca::QUICSVDPolicy::Delta</a></div><div class="ttdeci">double &amp; Delta()</div><div class="ttdoc">Modify the cumulative probability for Monte Carlo error lower bound. </div><div class="ttdef"><b>Definition:</b> <a href="quic__svd__method_8hpp_source.html#l00084">quic_svd_method.hpp:84</a></div></div>
<div class="ttc" id="classmlpack_1_1pca_1_1QUICSVDPolicy_html_a03029bc2d3e657574c1d5f3c602ee90a"><div class="ttname"><a href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a03029bc2d3e657574c1d5f3c602ee90a">mlpack::pca::QUICSVDPolicy::Apply</a></div><div class="ttdeci">void Apply(const arma::mat &amp;data, const arma::mat &amp;centeredData, arma::mat &amp;transformedData, arma::vec &amp;eigVal, arma::mat &amp;eigvec, const size_t)</div><div class="ttdoc">Apply Principal Component Analysis to the provided data set using the QUIC-SVD method. </div><div class="ttdef"><b>Definition:</b> <a href="quic__svd__method_8hpp_source.html#l00054">quic_svd_method.hpp:54</a></div></div>
<div class="ttc" id="classmlpack_1_1pca_1_1QUICSVDPolicy_html_a24d41ae5fdedc45753819436bdaabd1e"><div class="ttname"><a href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a24d41ae5fdedc45753819436bdaabd1e">mlpack::pca::QUICSVDPolicy::Epsilon</a></div><div class="ttdeci">double Epsilon() const </div><div class="ttdoc">Get the error tolerance fraction for calculated subspace. </div><div class="ttdef"><b>Definition:</b> <a href="quic__svd__method_8hpp_source.html#l00077">quic_svd_method.hpp:77</a></div></div>
<div class="ttc" id="classmlpack_1_1pca_1_1QUICSVDPolicy_html_a67f8f2736545586e1a5175654e433cc0"><div class="ttname"><a href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a67f8f2736545586e1a5175654e433cc0">mlpack::pca::QUICSVDPolicy::delta</a></div><div class="ttdeci">double delta</div><div class="ttdoc">Cumulative probability for Monte Carlo error lower bound. </div><div class="ttdef"><b>Definition:</b> <a href="quic__svd__method_8hpp_source.html#l00091">quic_svd_method.hpp:91</a></div></div>
<div class="ttc" id="classmlpack_1_1pca_1_1QUICSVDPolicy_html_a9ae92375d4eb601f6a47d73d4ecfcd19"><div class="ttname"><a href="classmlpack_1_1pca_1_1QUICSVDPolicy.html#a9ae92375d4eb601f6a47d73d4ecfcd19">mlpack::pca::QUICSVDPolicy::Delta</a></div><div class="ttdeci">double Delta() const </div><div class="ttdoc">Get the cumulative probability for Monte Carlo error lower bound. </div><div class="ttdef"><b>Definition:</b> <a href="quic__svd__method_8hpp_source.html#l00082">quic_svd_method.hpp:82</a></div></div>
<div class="ttc" id="quic__svd_8hpp_html"><div class="ttname"><a href="quic__svd_8hpp.html">quic_svd.hpp</a></div></div>
<div class="ttc" id="classmlpack_1_1svd_1_1QUIC__SVD_html"><div class="ttname"><a href="classmlpack_1_1svd_1_1QUIC__SVD.html">mlpack::svd::QUIC_SVD</a></div><div class="ttdoc">QUIC-SVD is a matrix factorization technique, which operates in a subspace such that A&amp;#39;s approximatio...</div><div class="ttdef"><b>Definition:</b> <a href="quic__svd_8hpp_source.html#l00053">quic_svd.hpp:53</a></div></div>
<div class="ttc" id="classmlpack_1_1pca_1_1QUICSVDPolicy_html"><div class="ttname"><a href="classmlpack_1_1pca_1_1QUICSVDPolicy.html">mlpack::pca::QUICSVDPolicy</a></div><div class="ttdoc">Implementation of the QUIC-SVD policy. </div><div class="ttdef"><b>Definition:</b> <a href="quic__svd__method_8hpp_source.html#l00026">quic_svd_method.hpp:26</a></div></div>
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