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<a href="nmf__als_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="l00012"></a><span class="lineno"> 12</span>&#160;<span class="preprocessor">#ifndef MLPACK_METHODS_LMF_UPDATE_RULES_NMF_ALS_HPP</span></div><div class="line"><a name="l00013"></a><span class="lineno"> 13</span>&#160;<span class="preprocessor">#define MLPACK_METHODS_LMF_UPDATE_RULES_NMF_ALS_HPP</span></div><div class="line"><a name="l00014"></a><span class="lineno"> 14</span>&#160;</div><div class="line"><a name="l00015"></a><span class="lineno"> 15</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="l00016"></a><span class="lineno"> 16</span>&#160;</div><div class="line"><a name="l00017"></a><span class="lineno"> 17</span>&#160;<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>&#160;<span class="keyword">namespace </span>amf {</div><div class="line"><a name="l00019"></a><span class="lineno"> 19</span>&#160;</div><div class="line"><a name="l00041"></a><span class="lineno"><a class="line" href="classmlpack_1_1amf_1_1NMFALSUpdate.html"> 41</a></span>&#160;<span class="keyword">class </span><a class="code" href="classmlpack_1_1amf_1_1NMFALSUpdate.html">NMFALSUpdate</a></div><div class="line"><a name="l00042"></a><span class="lineno"> 42</span>&#160;{</div><div class="line"><a name="l00043"></a><span class="lineno"> 43</span>&#160; <span class="keyword">public</span>:</div><div class="line"><a name="l00045"></a><span class="lineno"><a class="line" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a4d1783987920c1882aaf4189b4f474bd"> 45</a></span>&#160; <a class="code" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a4d1783987920c1882aaf4189b4f474bd">NMFALSUpdate</a>() { }</div><div class="line"><a name="l00046"></a><span class="lineno"> 46</span>&#160;</div><div class="line"><a name="l00051"></a><span class="lineno"> 51</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatType&gt;</div><div class="line"><a name="l00052"></a><span class="lineno"><a class="line" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#aa356ae918bac789c7e7f9ac1bf94a6c8"> 52</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#aa356ae918bac789c7e7f9ac1bf94a6c8">Initialize</a>(<span class="keyword">const</span> MatType&amp; <span class="comment">/* dataset */</span>, <span class="keyword">const</span> <span class="keywordtype">size_t</span> <span class="comment">/* rank */</span>)</div><div class="line"><a name="l00053"></a><span class="lineno"> 53</span>&#160; {</div><div class="line"><a name="l00054"></a><span class="lineno"> 54</span>&#160; <span class="comment">// Nothing to do.</span></div><div class="line"><a name="l00055"></a><span class="lineno"> 55</span>&#160; }</div><div class="line"><a name="l00056"></a><span class="lineno"> 56</span>&#160;</div><div class="line"><a name="l00071"></a><span class="lineno"> 71</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatType&gt;</div><div class="line"><a name="l00072"></a><span class="lineno"><a class="line" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a0eb0c482aa6e596e2f3679b40640a72a"> 72</a></span>&#160; <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a0eb0c482aa6e596e2f3679b40640a72a">WUpdate</a>(<span class="keyword">const</span> MatType&amp; V,</div><div class="line"><a name="l00073"></a><span class="lineno"> 73</span>&#160; arma::mat&amp; W,</div><div class="line"><a name="l00074"></a><span class="lineno"> 74</span>&#160; <span class="keyword">const</span> arma::mat&amp; H)</div><div class="line"><a name="l00075"></a><span class="lineno"> 75</span>&#160; {</div><div class="line"><a name="l00076"></a><span class="lineno"> 76</span>&#160; <span class="comment">// The call to inv() sometimes fails; so we are using the psuedoinverse.</span></div><div class="line"><a name="l00077"></a><span class="lineno"> 77</span>&#160; <span class="comment">// W = (inv(H * H.t()) * H * V.t()).t();</span></div><div class="line"><a name="l00078"></a><span class="lineno"> 78</span>&#160; W = V * H.t() * pinv(H * H.t());</div><div class="line"><a name="l00079"></a><span class="lineno"> 79</span>&#160;</div><div class="line"><a name="l00080"></a><span class="lineno"> 80</span>&#160; <span class="comment">// Set all negative numbers to machine epsilon.</span></div><div class="line"><a name="l00081"></a><span class="lineno"> 81</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; W.n_elem; i++)</div><div class="line"><a name="l00082"></a><span class="lineno"> 82</span>&#160; {</div><div class="line"><a name="l00083"></a><span class="lineno"> 83</span>&#160; <span class="keywordflow">if</span> (W(i) &lt; 0.0)</div><div class="line"><a name="l00084"></a><span class="lineno"> 84</span>&#160; {</div><div class="line"><a name="l00085"></a><span class="lineno"> 85</span>&#160; W(i) = 0.0;</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="l00088"></a><span class="lineno"> 88</span>&#160; }</div><div class="line"><a name="l00089"></a><span class="lineno"> 89</span>&#160;</div><div class="line"><a name="l00104"></a><span class="lineno"> 104</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> MatType&gt;</div><div class="line"><a name="l00105"></a><span class="lineno"><a class="line" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a95953ee6655a287ff502a358189b4bee"> 105</a></span>&#160; <span class="keyword">inline</span> <span class="keyword">static</span> <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a95953ee6655a287ff502a358189b4bee">HUpdate</a>(<span class="keyword">const</span> MatType&amp; V,</div><div class="line"><a name="l00106"></a><span class="lineno"> 106</span>&#160; <span class="keyword">const</span> arma::mat&amp; W,</div><div class="line"><a name="l00107"></a><span class="lineno"> 107</span>&#160; arma::mat&amp; H)</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; H = pinv(W.t() * W) * W.t() * V;</div><div class="line"><a name="l00110"></a><span class="lineno"> 110</span>&#160;</div><div class="line"><a name="l00111"></a><span class="lineno"> 111</span>&#160; <span class="comment">// Set all negative numbers to 0.</span></div><div class="line"><a name="l00112"></a><span class="lineno"> 112</span>&#160; <span class="keywordflow">for</span> (<span class="keywordtype">size_t</span> i = 0; i &lt; H.n_elem; i++)</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; <span class="keywordflow">if</span> (H(i) &lt; 0.0)</div><div class="line"><a name="l00115"></a><span class="lineno"> 115</span>&#160; {</div><div class="line"><a name="l00116"></a><span class="lineno"> 116</span>&#160; H(i) = 0.0;</div><div class="line"><a name="l00117"></a><span class="lineno"> 117</span>&#160; }</div><div class="line"><a name="l00118"></a><span class="lineno"> 118</span>&#160; }</div><div class="line"><a name="l00119"></a><span class="lineno"> 119</span>&#160; }</div><div class="line"><a name="l00120"></a><span class="lineno"> 120</span>&#160;</div><div class="line"><a name="l00122"></a><span class="lineno"> 122</span>&#160; <span class="keyword">template</span>&lt;<span class="keyword">typename</span> Archive&gt;</div><div class="line"><a name="l00123"></a><span class="lineno"><a class="line" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a0a407037255e2191e952e6c8f00f091a"> 123</a></span>&#160; <span class="keywordtype">void</span> <a class="code" href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a0a407037255e2191e952e6c8f00f091a">Serialize</a>(Archive&amp; <span class="comment">/* ar */</span>, <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="l00124"></a><span class="lineno"> 124</span>&#160;}; <span class="comment">// class NMFALSUpdate</span></div><div class="line"><a name="l00125"></a><span class="lineno"> 125</span>&#160;</div><div class="line"><a name="l00126"></a><span class="lineno"> 126</span>&#160;} <span class="comment">// namespace amf</span></div><div class="line"><a name="l00127"></a><span class="lineno"> 127</span>&#160;} <span class="comment">// namespace mlpack</span></div><div class="line"><a name="l00128"></a><span class="lineno"> 128</span>&#160;</div><div class="line"><a name="l00129"></a><span class="lineno"> 129</span>&#160;<span class="preprocessor">#endif</span></div><div class="ttc" id="classmlpack_1_1amf_1_1NMFALSUpdate_html_a0eb0c482aa6e596e2f3679b40640a72a"><div class="ttname"><a href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a0eb0c482aa6e596e2f3679b40640a72a">mlpack::amf::NMFALSUpdate::WUpdate</a></div><div class="ttdeci">static void WUpdate(const MatType &amp;V, arma::mat &amp;W, const arma::mat &amp;H)</div><div class="ttdoc">The update rule for the basis matrix W. </div><div class="ttdef"><b>Definition:</b> <a href="nmf__als_8hpp_source.html#l00072">nmf_als.hpp:72</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="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_1amf_1_1NMFALSUpdate_html_aa356ae918bac789c7e7f9ac1bf94a6c8"><div class="ttname"><a href="classmlpack_1_1amf_1_1NMFALSUpdate.html#aa356ae918bac789c7e7f9ac1bf94a6c8">mlpack::amf::NMFALSUpdate::Initialize</a></div><div class="ttdeci">void Initialize(const MatType &amp;, const size_t)</div><div class="ttdoc">Set initial values for the factorization. </div><div class="ttdef"><b>Definition:</b> <a href="nmf__als_8hpp_source.html#l00052">nmf_als.hpp:52</a></div></div>
<div class="ttc" id="classmlpack_1_1amf_1_1NMFALSUpdate_html_a95953ee6655a287ff502a358189b4bee"><div class="ttname"><a href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a95953ee6655a287ff502a358189b4bee">mlpack::amf::NMFALSUpdate::HUpdate</a></div><div class="ttdeci">static void HUpdate(const MatType &amp;V, const arma::mat &amp;W, arma::mat &amp;H)</div><div class="ttdoc">The update rule for the encoding matrix H. </div><div class="ttdef"><b>Definition:</b> <a href="nmf__als_8hpp_source.html#l00105">nmf_als.hpp:105</a></div></div>
<div class="ttc" id="classmlpack_1_1amf_1_1NMFALSUpdate_html"><div class="ttname"><a href="classmlpack_1_1amf_1_1NMFALSUpdate.html">mlpack::amf::NMFALSUpdate</a></div><div class="ttdoc">This class implements a method titled &amp;#39;Alternating Least Squares&amp;#39; described in the following paper: ...</div><div class="ttdef"><b>Definition:</b> <a href="nmf__als_8hpp_source.html#l00041">nmf_als.hpp:41</a></div></div>
<div class="ttc" id="classmlpack_1_1amf_1_1NMFALSUpdate_html_a4d1783987920c1882aaf4189b4f474bd"><div class="ttname"><a href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a4d1783987920c1882aaf4189b4f474bd">mlpack::amf::NMFALSUpdate::NMFALSUpdate</a></div><div class="ttdeci">NMFALSUpdate()</div><div class="ttdoc">Empty constructor required for the UpdateRule template. </div><div class="ttdef"><b>Definition:</b> <a href="nmf__als_8hpp_source.html#l00045">nmf_als.hpp:45</a></div></div>
<div class="ttc" id="classmlpack_1_1amf_1_1NMFALSUpdate_html_a0a407037255e2191e952e6c8f00f091a"><div class="ttname"><a href="classmlpack_1_1amf_1_1NMFALSUpdate.html#a0a407037255e2191e952e6c8f00f091a">mlpack::amf::NMFALSUpdate::Serialize</a></div><div class="ttdeci">void Serialize(Archive &amp;, const unsigned int)</div><div class="ttdoc">Serialize the object (in this case, there is nothing to serialize). </div><div class="ttdef"><b>Definition:</b> <a href="nmf__als_8hpp_source.html#l00123">nmf_als.hpp:123</a></div></div>
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