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69  <div class="navpath"><b>bdm</b>::<a class="el" href="classbdm_1_1mDirich.html">mDirich</a>
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73<h1>bdm::mDirich Class Reference</h1><!-- doxytag: class="bdm::mDirich" --><!-- doxytag: inherits="mpdf_internal&lt; eDirich &gt;" --><hr/><a name="_details"></a><h2>Detailed Description</h2>
74<p>Random Walk on Dirichlet Using simple assignment </p>
75<p class="formulaDsp">
76<img class="formulaDsp" alt="\[ \beta = rvc / k + \beta_c \]" src="form_80.png"/>
77</p>
78<p> hence, mean value = rvc, variance = (k+1)*mean*mean;</p>
79<p>The greater k is, the greater is the variance of the random walk;</p>
80<p><img class="formulaInl" alt="$ \beta_c $" src="form_81.png"/> is used as regularizing element to avoid corner cases, i.e. when one element of rvc is zero. By default is it set to 0.1; </p>
81
82<p><code>#include &lt;<a class="el" href="exp__family_8h_source.html">exp_family.h</a>&gt;</code></p>
83
84<p><a href="classbdm_1_1mDirich-members.html">List of all members.</a></p>
85<table border="0" cellpadding="0" cellspacing="0">
86<tr><td colspan="2"><h2>Public Member Functions</h2></td></tr>
[661]87<tr><td class="memItemLeft" align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mDirich.html#a78a06fc013ca7fc8dbc13ee899e3b0d0">condition</a> (const vec &amp;val)</td></tr>
[656]88<tr><td class="memItemLeft" align="right" valign="top">void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mDirich.html#ac1e6f42277b97f700ea1b6045cb6b2d7">from_setting</a> (const Setting &amp;set)</td></tr>
89<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="abd6dfd941c1cf5092b02d23f58d7bde4"></a><!-- doxytag: member="bdm::mDirich::validate" ref="abd6dfd941c1cf5092b02d23f58d7bde4" args="()" -->
90void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mDirich.html#abd6dfd941c1cf5092b02d23f58d7bde4">validate</a> ()</td></tr>
91<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method TODO. <br/></td></tr>
92<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a6b4d1cb8d7e230e313b4f0c905874d5a"></a><!-- doxytag: member="bdm::mDirich::e" ref="a6b4d1cb8d7e230e313b4f0c905874d5a" args="()" -->
93<a class="el" href="classbdm_1_1eDirich.html">eDirich</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#a6b4d1cb8d7e230e313b4f0c905874d5a">e</a> ()</td></tr>
94<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">access function to iepdf <br/></td></tr>
95<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ad8e547695d1cc19219b91164d825c930"></a><!-- doxytag: member="bdm::mDirich::samplecond" ref="ad8e547695d1cc19219b91164d825c930" args="(const vec &amp;cond)" -->
96vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#ad8e547695d1cc19219b91164d825c930">samplecond</a> (const vec &amp;cond)</td></tr>
97<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Reimplements samplecond using <code>condition()</code>. <br/></td></tr>
98<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a89076e62b8d7df7616bad68c94591948"></a><!-- doxytag: member="bdm::mDirich::evallogcond" ref="a89076e62b8d7df7616bad68c94591948" args="(const vec &amp;val, const vec &amp;cond)" -->
99double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#a89076e62b8d7df7616bad68c94591948">evallogcond</a> (const vec &amp;val, const vec &amp;cond)</td></tr>
100<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Reimplements evallogcond using <code>condition()</code>. <br/></td></tr>
101<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ae28c214e3063733a6e4d17738941c61c"></a><!-- doxytag: member="bdm::mDirich::evallogcond_m" ref="ae28c214e3063733a6e4d17738941c61c" args="(const mat &amp;Dt, const vec &amp;cond)" -->
102virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#ae28c214e3063733a6e4d17738941c61c">evallogcond_m</a> (const mat &amp;Dt, const vec &amp;cond)</td></tr>
103<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Efficient version of evallogcond for matrices. <br/></td></tr>
104<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="ae82db07ce8af02f29cfd81e014edb3db"></a><!-- doxytag: member="bdm::mDirich::evallogcond_m" ref="ae82db07ce8af02f29cfd81e014edb3db" args="(const Array&lt; vec &gt; &amp;Dt, const vec &amp;cond)" -->
105virtual vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#ae82db07ce8af02f29cfd81e014edb3db">evallogcond_m</a> (const Array&lt; vec &gt; &amp;Dt, const vec &amp;cond)</td></tr>
106<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Efficient version of evallogcond for Array&lt;vec&gt;. <br/></td></tr>
107<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a9554c554054da2d22cb8e908ae9c8823"></a><!-- doxytag: member="bdm::mDirich::samplecond_m" ref="a9554c554054da2d22cb8e908ae9c8823" args="(const vec &amp;cond, int N)" -->
108virtual mat&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#a9554c554054da2d22cb8e908ae9c8823">samplecond_m</a> (const vec &amp;cond, int N)</td></tr>
109<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Efficient version of samplecond. <br/></td></tr>
110<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aaf0e6941ba5919cae1bc530e2181b109"></a><!-- doxytag: member="bdm::mDirich::to_string" ref="aaf0e6941ba5919cae1bc530e2181b109" args="()" -->
111virtual string&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1root.html#aaf0e6941ba5919cae1bc530e2181b109">to_string</a> ()</td></tr>
112<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method returns a basic info about the current instance. <br/></td></tr>
113<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a67d954d255ede776eade7334d4895790"></a><!-- doxytag: member="bdm::mDirich::to_setting" ref="a67d954d255ede776eade7334d4895790" args="(Setting &amp;set) const " -->
114virtual void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1root.html#a67d954d255ede776eade7334d4895790">to_setting</a> (Setting &amp;set) const </td></tr>
115<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">This method save all the instance properties into the Setting structure. <br/></td></tr>
116<tr><td colspan="2"><div class="groupHeader">Access to attributes</div></td></tr>
117<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrpb6eb094f9e6af11f8a7d9efa9d8e3623"></a> </p>
118<br/><br/></div></td></tr>
119<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aaa0095f80870f15209bca68a8a7bad8a"></a><!-- doxytag: member="bdm::mDirich::_rv" ref="aaa0095f80870f15209bca68a8a7bad8a" args="() const " -->
120const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>_rv</b> () const </td></tr>
121<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a739d5202899bb56792a547c74e517a11"></a><!-- doxytag: member="bdm::mDirich::_rvc" ref="a739d5202899bb56792a547c74e517a11" args="() const " -->
122const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><b>_rvc</b> () const </td></tr>
123<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="aeea4a999ed9679181335927e9cb66d28"></a><!-- doxytag: member="bdm::mDirich::dimension" ref="aeea4a999ed9679181335927e9cb66d28" args="() const " -->
124int&nbsp;</td><td class="memItemRight" valign="bottom"><b>dimension</b> () const </td></tr>
125<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a35e135910aed187b7290742f50e61bc8"></a><!-- doxytag: member="bdm::mDirich::dimensionc" ref="a35e135910aed187b7290742f50e61bc8" args="()" -->
126int&nbsp;</td><td class="memItemRight" valign="bottom"><b>dimensionc</b> ()</td></tr>
127<tr><td colspan="2"><div class="groupHeader">Connection to other objects</div></td></tr>
128<tr><td colspan="2"><div class="groupText"><p><a class="anchor" id="amgrp91e4120baa9617769b7119bfb087c022"></a> </p>
129<br/><br/></div></td></tr>
130<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a7631a5570e4ade1420065e8df78f4401"></a><!-- doxytag: member="bdm::mDirich::set_rvc" ref="a7631a5570e4ade1420065e8df78f4401" args="(const RV &amp;rvc0)" -->
131void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_rvc</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rvc0)</td></tr>
132<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a18ac26bc2f96ae01ef4eb06178abbd75"></a><!-- doxytag: member="bdm::mDirich::set_rv" ref="a18ac26bc2f96ae01ef4eb06178abbd75" args="(const RV &amp;rv0)" -->
133void&nbsp;</td><td class="memItemRight" valign="bottom"><b>set_rv</b> (const <a class="el" href="classbdm_1_1RV.html">RV</a> &amp;rv0)</td></tr>
134<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="af8e3798150b42fd1f3e16ddbbe0e7045"></a><!-- doxytag: member="bdm::mDirich::isnamed" ref="af8e3798150b42fd1f3e16ddbbe0e7045" args="()" -->
135bool&nbsp;</td><td class="memItemRight" valign="bottom"><b>isnamed</b> ()</td></tr>
136<tr><td colspan="2"><h2>Protected Member Functions</h2></td></tr>
137<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a147afacb393324bb3f9a7a89e33f835e"></a><!-- doxytag: member="bdm::mDirich::set_ep" ref="a147afacb393324bb3f9a7a89e33f835e" args="(epdf &amp;iepdf)" -->
138void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#a147afacb393324bb3f9a7a89e33f835e">set_ep</a> (<a class="el" href="classbdm_1_1epdf.html">epdf</a> &amp;<a class="el" href="classbdm_1_1mpdf__internal.html#a47bab632af15120c88aad647ae129468">iepdf</a>)</td></tr>
139<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">set internal pointer <code>ep</code> to point to given <code>iepdf</code> <br/></td></tr>
140<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a7555b377f8b5895c9b759c9628ee3e20"></a><!-- doxytag: member="bdm::mDirich::set_ep" ref="a7555b377f8b5895c9b759c9628ee3e20" args="(epdf *iepdfp)" -->
141void&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#a7555b377f8b5895c9b759c9628ee3e20">set_ep</a> (<a class="el" href="classbdm_1_1epdf.html">epdf</a> *iepdfp)</td></tr>
142<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">set internal pointer <code>ep</code> to point to given <code>iepdf</code> <br/></td></tr>
143<tr><td colspan="2"><h2>Protected Attributes</h2></td></tr>
144<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="acf9baed9baab754872ec59b9d45bf164"></a><!-- doxytag: member="bdm::mDirich::k" ref="acf9baed9baab754872ec59b9d45bf164" args="" -->
145double&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mDirich.html#acf9baed9baab754872ec59b9d45bf164">k</a></td></tr>
146<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">constant <img class="formulaInl" alt="$ k $" src="form_92.png"/> of the random walk <br/></td></tr>
147<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a44230d127f95c6da1032e4e5886204ab"></a><!-- doxytag: member="bdm::mDirich::_beta" ref="a44230d127f95c6da1032e4e5886204ab" args="" -->
148vec &amp;&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mDirich.html#a44230d127f95c6da1032e4e5886204ab">_beta</a></td></tr>
149<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">cache of beta_i <br/></td></tr>
150<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a0c367b11fc853db86e9f00143e68013a"></a><!-- doxytag: member="bdm::mDirich::betac" ref="a0c367b11fc853db86e9f00143e68013a" args="" -->
151vec&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mDirich.html#a0c367b11fc853db86e9f00143e68013a">betac</a></td></tr>
152<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">stabilizing coefficient <img class="formulaInl" alt="$ \beta_c $" src="form_81.png"/> <br/></td></tr>
153<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a47bab632af15120c88aad647ae129468"></a><!-- doxytag: member="bdm::mDirich::iepdf" ref="a47bab632af15120c88aad647ae129468" args="" -->
154<a class="el" href="classbdm_1_1eDirich.html">eDirich</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf__internal.html#a47bab632af15120c88aad647ae129468">iepdf</a></td></tr>
155<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">Internal epdf used for sampling. <br/></td></tr>
156<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a7c1900976ff13dbc09c9729b3bbff9e6"></a><!-- doxytag: member="bdm::mDirich::dimc" ref="a7c1900976ff13dbc09c9729b3bbff9e6" args="" -->
157int&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#a7c1900976ff13dbc09c9729b3bbff9e6">dimc</a></td></tr>
158<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">dimension of the condition <br/></td></tr>
159<tr><td class="memItemLeft" align="right" valign="top"><a class="anchor" id="a5a5f08950daa08b85b01ddf4e1c36288"></a><!-- doxytag: member="bdm::mDirich::rvc" ref="a5a5f08950daa08b85b01ddf4e1c36288" args="" -->
160<a class="el" href="classbdm_1_1RV.html">RV</a>&nbsp;</td><td class="memItemRight" valign="bottom"><a class="el" href="classbdm_1_1mpdf.html#a5a5f08950daa08b85b01ddf4e1c36288">rvc</a></td></tr>
161<tr><td class="mdescLeft">&nbsp;</td><td class="mdescRight">random variable in condition <br/></td></tr>
162</table>
163<hr/><h2>Member Function Documentation</h2>
[661]164<a class="anchor" id="a78a06fc013ca7fc8dbc13ee899e3b0d0"></a><!-- doxytag: member="bdm::mDirich::condition" ref="a78a06fc013ca7fc8dbc13ee899e3b0d0" args="(const vec &amp;val)" -->
165<div class="memitem">
166<div class="memproto">
167      <table class="memname">
168        <tr>
169          <td class="memname">void bdm::mDirich::condition </td>
170          <td>(</td>
171          <td class="paramtype">const vec &amp;&nbsp;</td>
172          <td class="paramname"> <em>cond</em></td>
173          <td>&nbsp;)&nbsp;</td>
174          <td><code> [inline, virtual]</code></td>
175        </tr>
176      </table>
177</div>
178<div class="memdoc">
179<p>Update <code>iepdf</code> so that it represents this <a class="el" href="classbdm_1_1mpdf.html" title="Conditional probability density, e.g. modeling , where  is random variable, rv, and...">mpdf</a> conditioned on <code>rvc</code> = cond This function provides convenient reimplementation in offsprings </p>
180
181<p>Reimplemented from <a class="el" href="classbdm_1_1mpdf__internal.html#a1ac61da081667fc54bcd050cc4f6a93e">bdm::mpdf_internal&lt; eDirich &gt;</a>.</p>
182
183<p>References <a class="el" href="exp__family_8h_source.html#l00363">_beta</a>, <a class="el" href="exp__family_8h_source.html#l00365">betac</a>, and <a class="el" href="exp__family_8h_source.html#l00361">k</a>.</p>
184
185</div>
186</div>
[656]187<a class="anchor" id="ac1e6f42277b97f700ea1b6045cb6b2d7"></a><!-- doxytag: member="bdm::mDirich::from_setting" ref="ac1e6f42277b97f700ea1b6045cb6b2d7" args="(const Setting &amp;set)" -->
188<div class="memitem">
189<div class="memproto">
190      <table class="memname">
191        <tr>
192          <td class="memname">void bdm::mDirich::from_setting </td>
193          <td>(</td>
194          <td class="paramtype">const Setting &amp;&nbsp;</td>
195          <td class="paramname"> <em>set</em></td>
196          <td>&nbsp;)&nbsp;</td>
197          <td><code> [inline, virtual]</code></td>
198        </tr>
199      </table>
200</div>
201<div class="memdoc">
202<p>Create Dirichlet random walk </p>
203<p class="formulaDsp">
204<img class="formulaDsp" alt="\[ f(rv|rvc) = Di(rvc*k) \]" src="form_104.png"/>
205</p>
206<p> from structure </p>
207<div class="fragment"><pre class="fragment">                <span class="keyword">class </span>= &apos;mDirich&apos;;
208                <a class="code" href="classbdm_1_1mDirich.html#acf9baed9baab754872ec59b9d45bf164" title="constant  of the random walk">k</a> = 1;                      <span class="comment">// multiplicative constant k</span>
209                --- optional ---
210                rv = RV({<span class="stringliteral">&apos;name&apos;</span>},size)      <span class="comment">// description of RV</span>
211                beta0 = [];                 <span class="comment">// initial value of beta</span>
212                <a class="code" href="classbdm_1_1mDirich.html#a0c367b11fc853db86e9f00143e68013a" title="stabilizing coefficient ">betac</a> = [];                 <span class="comment">// initial value of beta</span>
213</pre></div> 
214<p>Reimplemented from <a class="el" href="classbdm_1_1mpdf.html#a30a0bceb948e287d497c578e371b1667">bdm::mpdf</a>.</p>
215
216<p>References <a class="el" href="exp__family_8h_source.html#l00363">_beta</a>, <a class="el" href="exp__family_8h_source.html#l00365">betac</a>, <a class="el" href="bdmbase_8h_source.html#l00235">bdm::RV::copy_t()</a>, <a class="el" href="user__info_8h_source.html#l00451">bdm::UI::get()</a>, <a class="el" href="exp__family_8h_source.html#l00361">k</a>, <a class="el" href="bdmbase_8h_source.html#l00461">bdm::mpdf::rvc</a>, and <a class="el" href="exp__family_8h_source.html#l00398">validate()</a>.</p>
217
218</div>
219</div>
220<hr/>The documentation for this class was generated from the following file:<ul>
221<li><a class="el" href="exp__family_8h_source.html">exp_family.h</a></li>
222</ul>
223</div>
[661]224<hr size="1"/><address style="text-align: right;"><small>Generated on Thu Oct 15 00:07:50 2009 for mixpp by&nbsp;
[656]225<a href="http://www.doxygen.org/index.html">
226<img class="footer" src="doxygen.png" alt="doxygen"/></a> 1.6.1 </small></address>
227</body>
228</html>
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