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3<title>mixpp: mprod Class Reference</title>
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26<h1>mprod Class Reference</h1><!-- doxytag: class="mprod" --><!-- doxytag: inherits="mpdf" -->Chain rule decomposition of <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>
27<a href="#_details">More...</a>
28<p>
29<code>#include &lt;<a class="el" href="emix_8h-source.html">emix.h</a>&gt;</code>
30<p>
31<div class="dynheader">
32Inheritance diagram for mprod:</div>
33<div class="dynsection">
34<p><center><img src="classmprod__inherit__graph.png" border="0" usemap="#mprod__inherit__map" alt="Inheritance graph"></center>
35<map name="mprod__inherit__map">
36<area shape="rect" href="classmerger.html" title="Function for general combination of pdfs." alt="" coords="5,161,72,188"><area shape="rect" href="classmpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="12,7,65,33"></map>
37<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
38<div class="dynheader">
39Collaboration diagram for mprod:</div>
40<div class="dynsection">
41<p><center><img src="classmprod__coll__graph.png" border="0" usemap="#mprod__coll__map" alt="Collaboration graph"></center>
42<map name="mprod__coll__map">
43<area shape="rect" href="classmpdf.html" title="Conditional probability density, e.g. modeling some dependencies." alt="" coords="11,204,64,231"><area shape="rect" href="classRV.html" title="Class representing variables, most often random variables." alt="" coords="24,7,61,33"><area shape="rect" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density." alt="" coords="59,105,107,132"></map>
44<center><font size="2">[<a href="graph_legend.html">legend</a>]</font></center></div>
45
46<p>
47<a href="classmprod-members.html">List of all members.</a><table border="0" cellpadding="0" cellspacing="0">
48<tr><td></td></tr>
49<tr><td colspan="2"><br><h2>Public Member Functions</h2></td></tr>
50<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="37f028561c45ce5fd3a1351a911e31dc"></a><!-- doxytag: member="mprod::mprod" ref="37f028561c45ce5fd3a1351a911e31dc" args="(Array&lt; mpdf * &gt; mFacs, bool overlap=false)" -->
51&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmprod.html#37f028561c45ce5fd3a1351a911e31dc">mprod</a> (Array&lt; <a class="el" href="classmpdf.html">mpdf</a> * &gt; mFacs, bool overlap=false)</td></tr>
52
53<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Constructor from list of mFacs, Additional parameter overlap is left for future use. Do not set to true for <a class="el" href="classmprod.html" title="Chain rule decomposition of epdf.">mprod</a>. <br></td></tr>
54<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c15df5d0c7bb9dc82dd78f037b2550a8"></a><!-- doxytag: member="mprod::evalpdflog" ref="c15df5d0c7bb9dc82dd78f037b2550a8" args="(const vec &amp;val) const " -->
55double&nbsp;</td><td class="memItemRight" valign="bottom"><b>evalpdflog</b> (const vec &amp;val) const </td></tr>
56
57<tr><td class="memItemLeft" nowrap align="right" valign="top">vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmprod.html#a48887eb8738a9e5550bfc38eb8e9d68">samplecond</a> (const vec &amp;cond, double &amp;ll)</td></tr>
58
59<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns the required moment of the <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a><a href="#a48887eb8738a9e5550bfc38eb8e9d68"></a><br></td></tr>
60<tr><td class="memItemLeft" nowrap align="right" valign="top">mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmprod.html#e171c40e210539c2af01d6237785620b">samplecond</a> (const vec &amp;cond, vec &amp;ll, int N)</td></tr>
61
62<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Returns.  <a href="#e171c40e210539c2af01d6237785620b"></a><br></td></tr>
63<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0f95a0cc6ab40611f46804682446ed83"></a><!-- doxytag: member="mprod::condition" ref="0f95a0cc6ab40611f46804682446ed83" args="(const vec &amp;cond)" -->
64virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#0f95a0cc6ab40611f46804682446ed83">condition</a> (const vec &amp;cond)</td></tr>
65
66<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Update <code>ep</code> so that it represents this <a class="el" href="classmpdf.html" title="Conditional probability density, e.g. modeling some dependencies.">mpdf</a> conditioned on <code>rvc</code> = cond. <br></td></tr>
67<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="80b738ece5bd4f8c4edaee4b38906f91"></a><!-- doxytag: member="mprod::evalcond" ref="80b738ece5bd4f8c4edaee4b38906f91" args="(const vec &amp;dt, const vec &amp;cond)" -->
68virtual double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#80b738ece5bd4f8c4edaee4b38906f91">evalcond</a> (const vec &amp;dt, const vec &amp;cond)</td></tr>
69
70<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Shortcut for conditioning and evaluation of the internal <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>. In some cases, this operation can be implemented efficiently. <br></td></tr>
71<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="ec9c850305984582548e8deb64f0ffe8"></a><!-- doxytag: member="mprod::_rvc" ref="ec9c850305984582548e8deb64f0ffe8" args="()" -->
72<a class="el" href="classRV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#ec9c850305984582548e8deb64f0ffe8">_rvc</a> ()</td></tr>
73
74<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
75<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1e71ad4c66d5884c82d4a3b06b42fe32"></a><!-- doxytag: member="mprod::_rv" ref="1e71ad4c66d5884c82d4a3b06b42fe32" args="()" -->
76<a class="el" href="classRV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#1e71ad4c66d5884c82d4a3b06b42fe32">_rv</a> ()</td></tr>
77
78<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
79<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="e17780ee5b2cfe05922a6c56af1462f8"></a><!-- doxytag: member="mprod::_epdf" ref="e17780ee5b2cfe05922a6c56af1462f8" args="()" -->
80<a class="el" href="classepdf.html">epdf</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#e17780ee5b2cfe05922a6c56af1462f8">_epdf</a> ()</td></tr>
81
82<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function <br></td></tr>
83<tr><td colspan="2"><br><h2>Protected Attributes</h2></td></tr>
84<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7dcf1dde4a220f8c7b97ed987bff6c1f"></a><!-- doxytag: member="mprod::n" ref="7dcf1dde4a220f8c7b97ed987bff6c1f" args="" -->
85int&nbsp;</td><td class="memItemRight" valign="bottom"><b>n</b></td></tr>
86
87<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="0883ce383e8475546df138719918f70e"></a><!-- doxytag: member="mprod::epdfs" ref="0883ce383e8475546df138719918f70e" args="" -->
88Array&lt; <a class="el" href="classepdf.html">epdf</a> * &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><b>epdfs</b></td></tr>
89
90<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="2389c7585ac5d0d79587625186818889"></a><!-- doxytag: member="mprod::mpdfs" ref="2389c7585ac5d0d79587625186818889" args="" -->
91Array&lt; <a class="el" href="classmpdf.html">mpdf</a> * &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><b>mpdfs</b></td></tr>
92
93<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="c8f78fbcdb4e38ecd3197d2958082497"></a><!-- doxytag: member="mprod::rvinds" ref="c8f78fbcdb4e38ecd3197d2958082497" args="" -->
94Array&lt; ivec &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmprod.html#c8f78fbcdb4e38ecd3197d2958082497">rvinds</a></td></tr>
95
96<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Indeces of rvs in common rv. <br></td></tr>
97<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="1725c7b497a27ab3c4889b846666b516"></a><!-- doxytag: member="mprod::rvcinrv" ref="1725c7b497a27ab3c4889b846666b516" args="" -->
98Array&lt; ivec &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmprod.html#1725c7b497a27ab3c4889b846666b516">rvcinrv</a></td></tr>
99
100<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Indeces of rvc in common rv. <br></td></tr>
101<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="cc85192d8abc01832937ed8b62e363a6"></a><!-- doxytag: member="mprod::rvcinds" ref="cc85192d8abc01832937ed8b62e363a6" args="" -->
102Array&lt; ivec &gt;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmprod.html#cc85192d8abc01832937ed8b62e363a6">rvcinds</a></td></tr>
103
104<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Indeces of rvc in common rvc. <br></td></tr>
105<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="f6687c07ff07d47812dd565368ca59eb"></a><!-- doxytag: member="mprod::rv" ref="f6687c07ff07d47812dd565368ca59eb" args="" -->
106<a class="el" href="classRV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#f6687c07ff07d47812dd565368ca59eb">rv</a></td></tr>
107
108<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">modeled random variable <br></td></tr>
109<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="acb7dda792b3cd5576f39fa3129abbab"></a><!-- doxytag: member="mprod::rvc" ref="acb7dda792b3cd5576f39fa3129abbab" args="" -->
110<a class="el" href="classRV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#acb7dda792b3cd5576f39fa3129abbab">rvc</a></td></tr>
111
112<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">random variable in condition <br></td></tr>
113<tr><td class="memItemLeft" nowrap align="right" valign="top"><a class="anchor" name="7aa894208a32f3487827df6d5054424c"></a><!-- doxytag: member="mprod::ep" ref="7aa894208a32f3487827df6d5054424c" args="" -->
114<a class="el" href="classepdf.html">epdf</a> *&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classmpdf.html#7aa894208a32f3487827df6d5054424c">ep</a></td></tr>
115
116<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">pointer to internal <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a> <br></td></tr>
117</table>
118<hr><a name="_details"></a><h2>Detailed Description</h2>
119Chain rule decomposition of <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>.
120<p>
121Probability density in the form of Chain-rule decomposition: \[ f(x_1,x_2,x_3) = f(x_1|x_2,x_3)f(x_2,x_3)f(x_3) \] Note that <hr><h2>Member Function Documentation</h2>
122<a class="anchor" name="a48887eb8738a9e5550bfc38eb8e9d68"></a><!-- doxytag: member="mprod::samplecond" ref="a48887eb8738a9e5550bfc38eb8e9d68" args="(const vec &amp;cond, double &amp;ll)" -->
123<div class="memitem">
124<div class="memproto">
125      <table class="memname">
126        <tr>
127          <td class="memname">vec mprod::samplecond           </td>
128          <td>(</td>
129          <td class="paramtype">const vec &amp;&nbsp;</td>
130          <td class="paramname"> <em>cond</em>, </td>
131        </tr>
132        <tr>
133          <td class="paramkey"></td>
134          <td></td>
135          <td class="paramtype">double &amp;&nbsp;</td>
136          <td class="paramname"> <em>ll</em></td><td>&nbsp;</td>
137        </tr>
138        <tr>
139          <td></td>
140          <td>)</td>
141          <td></td><td></td><td><code> [inline, virtual]</code></td>
142        </tr>
143      </table>
144</div>
145<div class="memdoc">
146
147<p>
148Returns the required moment of the <a class="el" href="classepdf.html" title="Probability density function with numerical statistics, e.g. posterior density.">epdf</a>.
149<p>
150Returns a sample from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. <dl compact><dt><b>Parameters:</b></dt><dd>
151  <table border="0" cellspacing="2" cellpadding="0">
152    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
153    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr>
154  </table>
155</dl>
156
157<p>Reimplemented from <a class="el" href="classmpdf.html#3f172b79ec4a5ebc87898a5381141f1b">mpdf</a>.</p>
158
159<p>References <a class="el" href="libBM_8h-source.html#l00069">RV::count()</a>, <a class="el" href="libBM_8h-source.html#l00186">mpdf::rv</a>, <a class="el" href="emix_8h-source.html#l00083">rvcinds</a>, <a class="el" href="emix_8h-source.html#l00081">rvcinrv</a>, and <a class="el" href="emix_8h-source.html#l00079">rvinds</a>.</p>
160
161<p>Referenced by <a class="el" href="emix_8h-source.html#l00128">samplecond()</a>.</p>
162
163</div>
164</div><p>
165<a class="anchor" name="e171c40e210539c2af01d6237785620b"></a><!-- doxytag: member="mprod::samplecond" ref="e171c40e210539c2af01d6237785620b" args="(const vec &amp;cond, vec &amp;ll, int N)" -->
166<div class="memitem">
167<div class="memproto">
168      <table class="memname">
169        <tr>
170          <td class="memname">mat mprod::samplecond           </td>
171          <td>(</td>
172          <td class="paramtype">const vec &amp;&nbsp;</td>
173          <td class="paramname"> <em>cond</em>, </td>
174        </tr>
175        <tr>
176          <td class="paramkey"></td>
177          <td></td>
178          <td class="paramtype">vec &amp;&nbsp;</td>
179          <td class="paramname"> <em>ll</em>, </td>
180        </tr>
181        <tr>
182          <td class="paramkey"></td>
183          <td></td>
184          <td class="paramtype">int&nbsp;</td>
185          <td class="paramname"> <em>N</em></td><td>&nbsp;</td>
186        </tr>
187        <tr>
188          <td></td>
189          <td>)</td>
190          <td></td><td></td><td><code> [inline, virtual]</code></td>
191        </tr>
192      </table>
193</div>
194<div class="memdoc">
195
196<p>
197Returns.
198<p>
199<dl compact><dt><b>Parameters:</b></dt><dd>
200  <table border="0" cellspacing="2" cellpadding="0">
201    <tr><td valign="top"></td><td valign="top"><em>N</em>&nbsp;</td><td>samples from the density conditioned on <code>cond</code>, <img class="formulaInl" alt="$x \sim epdf(rv|cond)$" src="form_10.png">. </td></tr>
202    <tr><td valign="top"></td><td valign="top"><em>cond</em>&nbsp;</td><td>is numeric value of <code>rv</code> </td></tr>
203    <tr><td valign="top"></td><td valign="top"><em>ll</em>&nbsp;</td><td>is a return value of log-likelihood of the sample. </td></tr>
204  </table>
205</dl>
206
207<p>Reimplemented from <a class="el" href="classmpdf.html#0e37163660f93df2a4d723cedb1da89c">mpdf</a>.</p>
208
209<p>References <a class="el" href="libBM_8h-source.html#l00069">RV::count()</a>, <a class="el" href="libBM_8h-source.html#l00186">mpdf::rv</a>, and <a class="el" href="emix_8h-source.html#l00105">samplecond()</a>.</p>
210
211</div>
212</div><p>
213<hr>The documentation for this class was generated from the following files:<ul>
214<li>work/git/mixpp/bdm/stat/<a class="el" href="emix_8h-source.html">emix.h</a><li>work/git/mixpp/bdm/stat/emix.cpp</ul>
215</div>
216<hr size="1"><address style="text-align: right;"><small>Generated on Tue Sep 23 16:00:54 2008 for mixpp by&nbsp;
217<a href="http://www.doxygen.org/index.html">
218<img src="doxygen.png" alt="doxygen" align="middle" border="0"></a> 1.5.6 </small></address>
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