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<!DOCTYPE HTML PUBLIC "-//W3C//DTD HTML 4.0 Transitional//EN">
<HTML>
<HEAD>
<TITLE>class Distribution</TITLE>
<META NAME="GENERATOR" CONTENT="DOC++ 3.4.8">
</HEAD>
<BODY BGCOLOR="#ffffff">
<H2>class <A HREF="#DOC.DOCU">Distribution</A></H2></H2><BLOCKQUOTE>This class is designed to handle generative distribution models such as Gaussian Mixture Models and Hidden Markov Models.</BLOCKQUOTE>
<HR>
<H2>Inheritance:</H2>
<APPLET CODE="ClassGraph.class" WIDTH=600 HEIGHT=335>
<param name=classes value="CObject,MObject.html,CMachine,MMachine.html,CGradientMachine,MGradientMachine.html,CDistribution,MDistribution.html,CTableLookupDistribution,MTableLookupDistribution.html,CParzenDistribution,MParzenDistribution.html,CMultinomial,MMultinomial.html,CHMM,MHMM.html,CFixedMachineDistribution,MFixedMachineDistribution.html,CDistrMachine,MDistrMachine.html,CDiagonalGMM,MDiagonalGMM.html">
<param name=before value="M,M,M,M,M|_,MR_,MR_,MR_,MR_,MR_,Mr_">
<param name=after value="Md_SPSP,Md_SP,Md_,M,M,M,M,M,M,M,M">
<param name=indent value="0,1,2,3,3,3,3,3,3,3,3">
<param name=arrowdir value="down">
</APPLET>
<HR>
<DL>
<P><DL>
<DT><H3>Public Fields</H3><DD><DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>int <B><A HREF="#DOC.92.1">n_observations</A></B>
<DD><I>size of the observation vectors</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>int <B><A HREF="#DOC.92.2">tot_n_frames</A></B>
<DD><I>total number of frames</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>int <B><A HREF="#DOC.92.3">max_n_frames</A></B>
<DD><I>the longest sequence in the database (used to dimensionate the variables)</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>real <B><A HREF="#DOC.92.4">log_probability</A></B>
<DD><I>the log likelihood</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>real* <B><A HREF="#DOC.92.5">log_probabilities</A></B>
<DD><I>the log likelihood for each frame</I>
</DL></P>
<P><DL>
<DT><H3>Public Methods</H3><DD><DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif> <B><A HREF="#DOC.92.6">Distribution</A></B>()
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual real <B><A HREF="#DOC.92.7">logProbability</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)
<DD><I>Returns the log probability of a sequence represented by <TT>inputs</TT></I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual real <B><A HREF="#DOC.92.8">viterbiLogProbability</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)
<DD><I>Returns the viterbi score of a sequence represented by <TT>inputs</TT></I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual real <B><A HREF="#DOC.92.9">frameLogProbability</A></B>(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)
<DD><I>Returns the log probability of a frame of a sequence</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.10">frameExpectation</A></B>(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)
<DD><I>Returns the expected value of <TT>observations</TT> given <TT>inputs</TT></I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.11">eMIterInitialize</A></B>()
<DD><I>Methods used to initialize the model at the beginning of each EM iteration</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.12">iterInitialize</A></B>()
<DD><I>Methods used to initialize the model at the beginning of each gradient descent iteration</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.13">eMSequenceInitialize</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)
<DD><I>Methods used to initialize the model at the beginning of each example during EM training</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.14">sequenceInitialize</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)
<DD><I>Methods used to initialize the model at the beginning of each example during gradient descent training</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.15">eMAccPosteriors</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, real log_posterior)
<DD><I>The backward step of EM for a sequence</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.16">frameEMAccPosteriors</A></B>(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real log_posterior, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)
<DD><I>The backward step of EM for a frame</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.17">viterbiAccPosteriors</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, real log_posterior)
<DD><I>The backward step of Viterbi learning for a sequence</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.18">frameViterbiAccPosteriors</A></B>(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real log_posterior, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)
<DD><I>The backward step of Viterbi for a frame</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.19">eMUpdate</A></B>()
<DD><I>The update after each iteration for EM</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.20">decode</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)
<DD><I>For some distribution like SpeechHMM, decodes the most likely path</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.21">eMForward</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)
<DD><I>Same as forward, but for EM</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.22">viterbiForward</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)
<DD><I>Same as forward, but for Viterbi</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.23">frameBackward</A></B>(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real* <!1><A HREF="QCMachine.html#DOC.40.5">alpha</A>, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)
<DD><I>Same as backward, but for one frame only</I>
<DT>
<IMG ALT="[more]" BORDER=0 SRC=icon1.gif>virtual void <B><A HREF="#DOC.92.24">viterbiBackward</A></B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, real* <!1><A HREF="QCMachine.html#DOC.40.5">alpha</A>)
<DD><I>Same as backward, but for Viterbi </I>
</DL></P>
</DL>
<HR><H3>Inherited from <A HREF="GradientMachine.html">GradientMachine</A>:</H3>
<DL>
<P><DL>
<DT><H3>Public Fields</H3><DD><DT>
<IMG ALT="o" SRC=icon2.gif>bool <B>is_free</B>
<DT>
<IMG ALT="o" SRC=icon2.gif><!1><A HREF="List.html">List</A>* <B>params</B>
<DT>
<IMG ALT="o" SRC=icon2.gif><!1><A HREF="List.html">List</A>* <B>der_params</B>
<DT>
<IMG ALT="o" SRC=icon2.gif>int <B>n_params</B>
<DT>
<IMG ALT="o" SRC=icon2.gif>real* <B>beta</B>
</DL></P>
<P><DL>
<DT><H3>Public Methods</H3><DD><DT>
<IMG ALT="o" SRC=icon2.gif>virtual void <B>init</B>()
<DT>
<IMG ALT="o" SRC=icon2.gif>virtual int <B>numberOfParams</B>()
<DT>
<IMG ALT="o" SRC=icon2.gif>virtual void <B>backward</B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, real* <!1><A HREF="QCMachine.html#DOC.40.5">alpha</A>)
<DT>
<IMG ALT="o" SRC=icon2.gif>virtual void <B>allocateMemory</B>()
<DT>
<IMG ALT="o" SRC=icon2.gif>virtual void <B>freeMemory</B>()
<DT>
<IMG ALT="o" SRC=icon2.gif>virtual void <B>loadFILE</B>(FILE* <!1><A HREF="Measurer.html#DOC.30.2">file</A>)
<DT>
<IMG ALT="o" SRC=icon2.gif>virtual void <B>saveFILE</B>(FILE* <!1><A HREF="Measurer.html#DOC.30.2">file</A>)
</DL></P>
</DL>
<HR><H3>Inherited from <A HREF="Machine.html">Machine</A>:</H3>
<DL>
<P><DL>
<DT><H3>Public Fields</H3><DD><DT>
<IMG ALT="o" SRC=icon2.gif>int <B>n_inputs</B>
<DT>
<IMG ALT="o" SRC=icon2.gif>int <B>n_outputs</B>
<DT>
<IMG ALT="o" SRC=icon2.gif><!1><A HREF="List.html">List</A>* <B>outputs</B>
</DL></P>
<P><DL>
<DT><H3>Public Methods</H3><DD><DT>
<IMG ALT="o" SRC=icon2.gif>virtual void <B>forward</B>(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)
<DT>
<IMG ALT="o" SRC=icon2.gif>virtual void <B>reset</B>()
</DL></P>
</DL>
<HR><H3>Inherited from <A HREF="Object.html">Object</A>:</H3>
<DL>
<P><DL>
<DT><H3>Public Methods</H3><DD><DT>
<IMG ALT="o" SRC=icon2.gif>void <B>addOption</B>(const char* <!1><A HREF="SeqExample.html#DOC.107.9">name</A>, int size, void* <!1><A HREF="Vec.html#DOC.81.3">ptr</A>, const char* <!1><A HREF="CmdLine.html#DOC.7.3">help</A>="", bool is_allowed_after_init=false)
<DT>
<IMG ALT="o" SRC=icon2.gif>void <B>addIOption</B>(const char* <!1><A HREF="SeqExample.html#DOC.107.9">name</A>, int* <!1><A HREF="Vec.html#DOC.81.3">ptr</A>, int init_value, const char* <!1><A HREF="CmdLine.html#DOC.7.3">help</A>="", bool is_allowed_after_init=false)
<DT>
<IMG ALT="o" SRC=icon2.gif>void <B>addROption</B>(const char* <!1><A HREF="SeqExample.html#DOC.107.9">name</A>, real* <!1><A HREF="Vec.html#DOC.81.3">ptr</A>, real init_value, const char* <!1><A HREF="CmdLine.html#DOC.7.3">help</A>="", bool is_allowed_after_init=false)
<DT>
<IMG ALT="o" SRC=icon2.gif>void <B>addBOption</B>(const char* <!1><A HREF="SeqExample.html#DOC.107.9">name</A>, bool* <!1><A HREF="Vec.html#DOC.81.3">ptr</A>, bool init_value, const char* <!1><A HREF="CmdLine.html#DOC.7.3">help</A>="", bool is_allowed_after_init=false)
<DT>
<IMG ALT="o" SRC=icon2.gif>void <B>setOption</B>(const char* <!1><A HREF="SeqExample.html#DOC.107.9">name</A>, void* <!1><A HREF="Vec.html#DOC.81.3">ptr</A>)
<DT>
<IMG ALT="o" SRC=icon2.gif>void <B>setIOption</B>(const char* <!1><A HREF="SeqExample.html#DOC.107.9">name</A>, int option)
<DT>
<IMG ALT="o" SRC=icon2.gif>void <B>setROption</B>(const char* <!1><A HREF="SeqExample.html#DOC.107.9">name</A>, real option)
<DT>
<IMG ALT="o" SRC=icon2.gif>void <B>setBOption</B>(const char* <!1><A HREF="SeqExample.html#DOC.107.9">name</A>, bool option)
<DT>
<IMG ALT="o" SRC=icon2.gif>void <B>load</B>(const char* filename)
<DT>
<IMG ALT="o" SRC=icon2.gif>void <B>save</B>(const char* filename)
</DL></P>
</DL>
<A NAME="DOC.DOCU"></A>
<HR>
<H2>Documentation</H2>
<BLOCKQUOTE>This class is designed to handle generative distribution models
such as Gaussian Mixture Models and Hidden Markov Models. As
distribution inherits from GradientMachine, they can be trained
by gradient descent or by Expectation Maximization (EM) or even
Viterbi.
<P>Note that the output of a distribution is the negative log likelihood.
<P></BLOCKQUOTE>
<DL>
<A NAME="n_observations"></A>
<A NAME="DOC.92.1"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>int n_observations</B></TT>
<DD>size of the observation vectors
<DL><DT><DD></DL><P>
<A NAME="tot_n_frames"></A>
<A NAME="DOC.92.2"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>int tot_n_frames</B></TT>
<DD>total number of frames
<DL><DT><DD></DL><P>
<A NAME="max_n_frames"></A>
<A NAME="DOC.92.3"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>int max_n_frames</B></TT>
<DD>the longest sequence in the database (used to dimensionate the variables)
<DL><DT><DD></DL><P>
<A NAME="log_probability"></A>
<A NAME="DOC.92.4"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>real log_probability</B></TT>
<DD>the log likelihood
<DL><DT><DD></DL><P>
<A NAME="log_probabilities"></A>
<A NAME="DOC.92.5"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>real* log_probabilities</B></TT>
<DD>the log likelihood for each frame
<DL><DT><DD></DL><P>
<A NAME="Distribution"></A>
<A NAME="DOC.92.6"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B> Distribution()</B></TT>
<DL><DT><DD></DL><P>
<A NAME="logProbability"></A>
<A NAME="DOC.92.7"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual real logProbability(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)</B></TT>
<DD>Returns the log probability of a sequence represented by <TT>inputs</TT>
<DL><DT><DD></DL><P>
<A NAME="viterbiLogProbability"></A>
<A NAME="DOC.92.8"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual real viterbiLogProbability(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)</B></TT>
<DD>Returns the viterbi score of a sequence represented by <TT>inputs</TT>
<DL><DT><DD></DL><P>
<A NAME="frameLogProbability"></A>
<A NAME="DOC.92.9"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual real frameLogProbability(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)</B></TT>
<DD>Returns the log probability of a frame of a sequence
<DL><DT><DD></DL><P>
<A NAME="frameExpectation"></A>
<A NAME="DOC.92.10"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void frameExpectation(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)</B></TT>
<DD>Returns the expected value of <TT>observations</TT> given <TT>inputs</TT>
<DL><DT><DD></DL><P>
<A NAME="eMIterInitialize"></A>
<A NAME="DOC.92.11"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void eMIterInitialize()</B></TT>
<DD>Methods used to initialize the model at the beginning of each
EM iteration
<DL><DT><DD></DL><P>
<A NAME="iterInitialize"></A>
<A NAME="DOC.92.12"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void iterInitialize()</B></TT>
<DD>Methods used to initialize the model at the beginning of each
gradient descent iteration
<DL><DT><DD></DL><P>
<A NAME="eMSequenceInitialize"></A>
<A NAME="DOC.92.13"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void eMSequenceInitialize(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)</B></TT>
<DD>Methods used to initialize the model at the beginning of each
example during EM training
<DL><DT><DD></DL><P>
<A NAME="sequenceInitialize"></A>
<A NAME="DOC.92.14"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void sequenceInitialize(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)</B></TT>
<DD>Methods used to initialize the model at the beginning of each
example during gradient descent training
<DL><DT><DD></DL><P>
<A NAME="eMAccPosteriors"></A>
<A NAME="DOC.92.15"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void eMAccPosteriors(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, real log_posterior)</B></TT>
<DD>The backward step of EM for a sequence
<DL><DT><DD></DL><P>
<A NAME="frameEMAccPosteriors"></A>
<A NAME="DOC.92.16"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void frameEMAccPosteriors(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real log_posterior, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)</B></TT>
<DD>The backward step of EM for a frame
<DL><DT><DD></DL><P>
<A NAME="viterbiAccPosteriors"></A>
<A NAME="DOC.92.17"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void viterbiAccPosteriors(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, real log_posterior)</B></TT>
<DD>The backward step of Viterbi learning for a sequence
<DL><DT><DD></DL><P>
<A NAME="frameViterbiAccPosteriors"></A>
<A NAME="DOC.92.18"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void frameViterbiAccPosteriors(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real log_posterior, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)</B></TT>
<DD>The backward step of Viterbi for a frame
<DL><DT><DD></DL><P>
<A NAME="eMUpdate"></A>
<A NAME="DOC.92.19"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void eMUpdate()</B></TT>
<DD>The update after each iteration for EM
<DL><DT><DD></DL><P>
<A NAME="decode"></A>
<A NAME="DOC.92.20"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void decode(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)</B></TT>
<DD>For some distribution like SpeechHMM, decodes the most likely path
<DL><DT><DD></DL><P>
<A NAME="eMForward"></A>
<A NAME="DOC.92.21"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void eMForward(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)</B></TT>
<DD>Same as forward, but for EM
<DL><DT><DD></DL><P>
<A NAME="viterbiForward"></A>
<A NAME="DOC.92.22"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void viterbiForward(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>)</B></TT>
<DD>Same as forward, but for Viterbi
<DL><DT><DD></DL><P>
<A NAME="frameBackward"></A>
<A NAME="DOC.92.23"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void frameBackward(real* <!1><A HREF="SeqExample.html#DOC.107.4">observations</A>, real* <!1><A HREF="QCMachine.html#DOC.40.5">alpha</A>, real* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, int t)</B></TT>
<DD>Same as backward, but for one frame only
<DL><DT><DD></DL><P>
<A NAME="viterbiBackward"></A>
<A NAME="DOC.92.24"></A>
<DT><IMG ALT="o" BORDER=0 SRC=icon2.gif><TT><B>virtual void viterbiBackward(<!1><A HREF="List.html">List</A>* <!1><A HREF="SeqExample.html#DOC.107.3">inputs</A>, real* <!1><A HREF="QCMachine.html#DOC.40.5">alpha</A>)</B></TT>
<DD>Same as backward, but for Viterbi
<DL><DT><DD></DL><P></DL>
<HR>
<DL><DT><B>Direct child classes:
</B><DD><A HREF="TableLookupDistribution.html">TableLookupDistribution</A><BR>
<A HREF="ParzenDistribution.html">ParzenDistribution</A><BR>
<A HREF="Multinomial.html">Multinomial</A><BR>
<A HREF="HMM.html">HMM</A><BR>
<A HREF="FixedMachineDistribution.html">FixedMachineDistribution</A><BR>
<A HREF="DistrMachine.html">DistrMachine</A><BR>
<A HREF="DiagonalGMM.html">DiagonalGMM</A><BR>
</DL>
<DL><DT><DT><B>Author:</B><DD>Samy Bengio (bengio@idiap.ch)
<DD></DL><P><P><I><A HREF="index.html">Alphabetic index</A></I> <I><A HREF="HIER.html">HTML hierarchy of classes</A> or <A HREF="HIERjava.html">Java</A></I></P><HR>
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