Changeset 172 for doc/latex/classARX.tex
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- 09/24/08 13:31:03 (16 years ago)
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doc/latex/classARX.tex
r145 r172 1 \hypertarget{classARX}{ 1 2 \section{ARX Class Reference} 2 3 \label{classARX}\index{ARX@{ARX}} 4 } 3 5 Linear Autoregressive model with Gaussian noise. 4 6 … … 10 12 \begin{center} 11 13 \leavevmode 12 \includegraphics[width=4 0pt]{classARX__inherit__graph}14 \includegraphics[width=43pt]{classARX__inherit__graph} 13 15 \end{center} 14 16 \end{figure} … … 17 19 \begin{center} 18 20 \leavevmode 19 \includegraphics[width=9 0pt]{classARX__coll__graph}21 \includegraphics[width=96pt]{classARX__coll__graph} 20 22 \end{center} 21 23 \end{figure} … … 23 25 \begin{CompactItemize} 24 26 \item 25 {\bf ARX} ({\bf RV} \&{\bf rv}, mat \&V0, double \&nu0, double frg0=1.0)\label{classARX_5fc6c18e73dcc0f1135eef33f42db8be} 27 \hypertarget{classARX_545e269bf7852c81484cf361b54d9917}{ 28 \hyperlink{classARX_545e269bf7852c81484cf361b54d9917}{ARX} (const \hyperlink{classRV}{RV} \&\hyperlink{classBM_af00f0612fabe66241dd507188cdbf88}{rv}, const mat \&V0, const double \&nu0, const double frg0=1.0)} 29 \label{classARX_545e269bf7852c81484cf361b54d9917} 26 30 27 31 \begin{CompactList}\small\item\em Full constructor. \item\end{CompactList}\item 28 void {\bf set\_\-parameters} (mat \&V0, double \&nu0)\label{classARX_3ccef8dc9dbed00ec74dddc949845d39} 32 \hypertarget{classARX_a5358883a49b52f50755ad8770c2bbdb}{ 33 \hyperlink{classARX_a5358883a49b52f50755ad8770c2bbdb}{ARX} (const \hyperlink{classARX}{ARX} \&A0)} 34 \label{classARX_a5358883a49b52f50755ad8770c2bbdb} 35 36 \begin{CompactList}\small\item\em Copy constructor. \item\end{CompactList}\item 37 \hypertarget{classARX_d2751057811c6fb8f4ff86e1648bcddc}{ 38 \hyperlink{classBM}{BM} $\ast$ \hyperlink{classARX_d2751057811c6fb8f4ff86e1648bcddc}{\_\-copy\_\-} (bool changerv=false)} 39 \label{classARX_d2751057811c6fb8f4ff86e1648bcddc} 40 41 \begin{CompactList}\small\item\em Auxiliary function. \item\end{CompactList}\item 42 \hypertarget{classARX_bc8c36399e82b2fc504baed845ed2007}{ 43 void \hyperlink{classARX_bc8c36399e82b2fc504baed845ed2007}{set\_\-parameters} (const \hyperlink{classldmat}{ldmat} \&V0, const double \&nu0)} 44 \label{classARX_bc8c36399e82b2fc504baed845ed2007} 29 45 30 46 \begin{CompactList}\small\item\em Set sufficient statistics. \item\end{CompactList}\item 31 void {\bf get\_\-parameters} (mat \&V0, double \&nu0)\label{classARX_29f55b43b8b6f5c4a55f6176aa85c494} 47 \hypertarget{classARX_26925d66dfc366815c497d67b62ee49c}{ 48 void \hyperlink{classARX_26925d66dfc366815c497d67b62ee49c}{set\_\-statistics} (const \hyperlink{classBMEF}{BMEF} $\ast$BM0)} 49 \label{classARX_26925d66dfc366815c497d67b62ee49c} 50 51 \begin{CompactList}\small\item\em get statistics from another model \item\end{CompactList}\item 52 \hypertarget{classARX_29f55b43b8b6f5c4a55f6176aa85c494}{ 53 void \hyperlink{classARX_29f55b43b8b6f5c4a55f6176aa85c494}{get\_\-parameters} (mat \&V0, double \&nu0)} 54 \label{classARX_29f55b43b8b6f5c4a55f6176aa85c494} 32 55 33 56 \begin{CompactList}\small\item\em Returns sufficient statistics. \item\end{CompactList}\item 34 void {\bf bayes} (const vec \&dt)\label{classARX_ba82c956ca893826811aefe1e4af465d} 57 \hypertarget{classARX_14d62abfe355275ea3b8d0c5d40f01a0}{ 58 void \hyperlink{classARX_14d62abfe355275ea3b8d0c5d40f01a0}{bayes} (const vec \&dt, const double w)} 59 \label{classARX_14d62abfe355275ea3b8d0c5d40f01a0} 35 60 36 61 \begin{CompactList}\small\item\em Here $dt = [y_t psi_t] $. \item\end{CompactList}\item 37 {\bf epdf} \& {\bf \_\-epdf} ()\label{classARX_9d8eff7a9df81786191a4c55b27e5b8a} 62 void \hyperlink{classARX_ba82c956ca893826811aefe1e4af465d}{bayes} (const vec \&dt) 63 \begin{CompactList}\small\item\em Incremental Bayes rule. \item\end{CompactList}\item 64 \hypertarget{classARX_c13df43e0af87697fda6b457d56a6d45}{ 65 const \hyperlink{classepdf}{epdf} \& \hyperlink{classARX_c13df43e0af87697fda6b457d56a6d45}{\_\-epdf} () const } 66 \label{classARX_c13df43e0af87697fda6b457d56a6d45} 38 67 39 \begin{CompactList}\small\item\em Returns a pointer to the \doxyref{epdf}{p.}{classepdf} representing posterior density on parameters. Use with care! \item\end{CompactList}\item 40 ivec {\bf structure\_\-est} ({\bf egiw} Eg0) 68 \begin{CompactList}\small\item\em Returns a pointer to the \hyperlink{classepdf}{epdf} representing posterior density on parameters. Use with care! \item\end{CompactList}\item 69 double \hyperlink{classARX_e7f9e7823aec9bf7ddc3b42d9b3304c4}{logpred} (const vec \&dt) const 70 \item 71 \hypertarget{classARX_365092d4fd1ab769fcf62bf28f364fab}{ 72 void \hyperlink{classARX_365092d4fd1ab769fcf62bf28f364fab}{flatten} (\hyperlink{classBMEF}{BMEF} $\ast$B)} 73 \label{classARX_365092d4fd1ab769fcf62bf28f364fab} 74 75 \begin{CompactList}\small\item\em Flatten the posterior. \item\end{CompactList}\item 76 ivec \hyperlink{classARX_130bb7336aac681ce14b027b8f1409fa}{structure\_\-est} (\hyperlink{classegiw}{egiw} Eg0) 41 77 \begin{CompactList}\small\item\em Brute force structure estimation. \item\end{CompactList}\item 42 double {\bf \_\-tll} ()\label{classARX_b8827048ceec8999849e2ed15400cae7} 78 \hypertarget{classBM_0186270f75189677f390fe088a9947e9}{ 79 virtual void \hyperlink{classBM_0186270f75189677f390fe088a9947e9}{bayesB} (const mat \&Dt)} 80 \label{classBM_0186270f75189677f390fe088a9947e9} 81 82 \begin{CompactList}\small\item\em Batch Bayes rule (columns of Dt are observations). \item\end{CompactList}\item 83 \hypertarget{classBM_126bd2595c48e311fc2a7ab72876092a}{ 84 const \hyperlink{classRV}{RV} \& \hyperlink{classBM_126bd2595c48e311fc2a7ab72876092a}{\_\-rv} () const } 85 \label{classBM_126bd2595c48e311fc2a7ab72876092a} 43 86 44 87 \begin{CompactList}\small\item\em access function \item\end{CompactList}\item 45 void {\bf bayes} (mat Dt)\label{classBM_87b07867fd4c133aa89a18543f68d9f9} 46 47 \begin{CompactList}\small\item\em Batch Bayes rule (columns of Dt are observations). \item\end{CompactList}\item 48 const {\bf RV} \& {\bf \_\-rv} () const \label{classBM_126bd2595c48e311fc2a7ab72876092a} 88 \hypertarget{classBM_87f4a547d2c29180be88175e5eab9c88}{ 89 double \hyperlink{classBM_87f4a547d2c29180be88175e5eab9c88}{\_\-ll} () const } 90 \label{classBM_87f4a547d2c29180be88175e5eab9c88} 49 91 50 92 \begin{CompactList}\small\item\em access function \item\end{CompactList}\item 51 double {\bf \_\-ll} () const \label{classBM_87f4a547d2c29180be88175e5eab9c88} 93 \hypertarget{classBM_1ffa9f23669aabecc3760c06c6987522}{ 94 void \hyperlink{classBM_1ffa9f23669aabecc3760c06c6987522}{set\_\-evalll} (bool evl0)} 95 \label{classBM_1ffa9f23669aabecc3760c06c6987522} 52 96 53 97 \begin{CompactList}\small\item\em access function \item\end{CompactList}\end{CompactItemize} … … 55 99 \begin{CompactItemize} 56 100 \item 57 {\bf egiw} {\bf est}\label{classARX_691d023662beffa1dda611b416c0e27e} 101 \hypertarget{classARX_691d023662beffa1dda611b416c0e27e}{ 102 \hyperlink{classegiw}{egiw} \hyperlink{classARX_691d023662beffa1dda611b416c0e27e}{est}} 103 \label{classARX_691d023662beffa1dda611b416c0e27e} 58 104 59 105 \begin{CompactList}\small\item\em Posterior estimate of $\theta,r$ in the form of Normal-inverse Wishart density. \item\end{CompactList}\item 60 {\bf ldmat} \& {\bf V}\label{classARX_2291297861dd74ca0175a01f910a0ef7} 106 \hypertarget{classARX_2291297861dd74ca0175a01f910a0ef7}{ 107 \hyperlink{classldmat}{ldmat} \& \hyperlink{classARX_2291297861dd74ca0175a01f910a0ef7}{V}} 108 \label{classARX_2291297861dd74ca0175a01f910a0ef7} 61 109 62 110 \begin{CompactList}\small\item\em cached value of est.V \item\end{CompactList}\item 63 double \& {\bf nu}\label{classARX_a4182c281098b2d86b62518a7493d9be} 111 \hypertarget{classARX_a4182c281098b2d86b62518a7493d9be}{ 112 double \& \hyperlink{classARX_a4182c281098b2d86b62518a7493d9be}{nu}} 113 \label{classARX_a4182c281098b2d86b62518a7493d9be} 64 114 65 115 \begin{CompactList}\small\item\em cached value of est.nu \item\end{CompactList}\item 66 double {\bf frg}\label{classARX_e467144efb0a5acbc10dba4eff8638fe} 116 \hypertarget{classBMEF_538d632e59f9afa8daa1de74da12ce71}{ 117 double \hyperlink{classBMEF_538d632e59f9afa8daa1de74da12ce71}{frg}} 118 \label{classBMEF_538d632e59f9afa8daa1de74da12ce71} 67 119 68 120 \begin{CompactList}\small\item\em forgetting factor \item\end{CompactList}\item 69 double {\bf last\_\-lognc}\label{classARX_6d0cd0f0734aa77cdc5e48f1cf6737ec} 121 \hypertarget{classBMEF_308cf5d4133cd471fdf1ecd5dfa09d02}{ 122 double \hyperlink{classBMEF_308cf5d4133cd471fdf1ecd5dfa09d02}{last\_\-lognc}} 123 \label{classBMEF_308cf5d4133cd471fdf1ecd5dfa09d02} 70 124 71 125 \begin{CompactList}\small\item\em cached value of lognc() in the previous step (used in evaluation of {\tt ll} ) \item\end{CompactList}\item 72 double {\bf tll}\label{classARX_64ea7c8ff48bf2548bac3e985e24da19} 73 74 \begin{CompactList}\small\item\em total likelihood \item\end{CompactList}\item 75 {\bf RV} {\bf rv}\label{classBM_af00f0612fabe66241dd507188cdbf88} 126 \hypertarget{classBM_af00f0612fabe66241dd507188cdbf88}{ 127 \hyperlink{classRV}{RV} \hyperlink{classBM_af00f0612fabe66241dd507188cdbf88}{rv}} 128 \label{classBM_af00f0612fabe66241dd507188cdbf88} 76 129 77 130 \begin{CompactList}\small\item\em Random variable of the posterior. \item\end{CompactList}\item 78 double {\bf ll}\label{classBM_5623fef6572a08c2b53b8c87b82dc979} 131 \hypertarget{classBM_5623fef6572a08c2b53b8c87b82dc979}{ 132 double \hyperlink{classBM_5623fef6572a08c2b53b8c87b82dc979}{ll}} 133 \label{classBM_5623fef6572a08c2b53b8c87b82dc979} 79 134 80 135 \begin{CompactList}\small\item\em Logarithm of marginalized data likelihood. \item\end{CompactList}\item 81 bool {\bf evalll}\label{classBM_bf6fb59b30141074f8ee1e2f43d03129} 136 \hypertarget{classBM_bf6fb59b30141074f8ee1e2f43d03129}{ 137 bool \hyperlink{classBM_bf6fb59b30141074f8ee1e2f43d03129}{evalll}} 138 \label{classBM_bf6fb59b30141074f8ee1e2f43d03129} 82 139 83 \begin{CompactList}\small\item\em If true, the filter will compute likelihood of the data record and store it in {\tt ll} . Set to false if you want to save time. \item\end{CompactList}\end{CompactItemize}140 \begin{CompactList}\small\item\em If true, the filter will compute likelihood of the data record and store it in {\tt ll} . Set to false if you want to save computational time. \item\end{CompactList}\end{CompactItemize} 84 141 85 142 … … 92 149 93 150 \subsection{Member Function Documentation} 151 \hypertarget{classARX_ba82c956ca893826811aefe1e4af465d}{ 152 \index{ARX@{ARX}!bayes@{bayes}} 153 \index{bayes@{bayes}!ARX@{ARX}} 154 \subsubsection[bayes]{\setlength{\rightskip}{0pt plus 5cm}void ARX::bayes (const vec \& {\em dt})\hspace{0.3cm}{\tt \mbox{[}inline, virtual\mbox{]}}}} 155 \label{classARX_ba82c956ca893826811aefe1e4af465d} 156 157 158 Incremental Bayes rule. 159 160 \begin{Desc} 161 \item[Parameters:] 162 \begin{description} 163 \item[{\em dt}]vector of input data \end{description} 164 \end{Desc} 165 166 167 Reimplemented from \hyperlink{classBMEF_52b7719312d545215cca1ff87722a35a}{BMEF}. 168 169 References bayes().\hypertarget{classARX_e7f9e7823aec9bf7ddc3b42d9b3304c4}{ 170 \index{ARX@{ARX}!logpred@{logpred}} 171 \index{logpred@{logpred}!ARX@{ARX}} 172 \subsubsection[logpred]{\setlength{\rightskip}{0pt plus 5cm}double ARX::logpred (const vec \& {\em dt}) const\hspace{0.3cm}{\tt \mbox{[}virtual\mbox{]}}}} 173 \label{classARX_e7f9e7823aec9bf7ddc3b42d9b3304c4} 174 175 176 Evaluates predictive log-likelihood of the given data record I.e. marginal likelihood of the data with the posterior integrated out. 177 178 Reimplemented from \hyperlink{classBM_8a8ce6df431689964c41cc6c849cfd06}{BM}. 179 180 References egiw::\_\-nu(), egiw::\_\-V(), est, BM::evalll, BMEF::frg, BMEF::last\_\-lognc, egiw::lognc(), nu, ldmat::opupdt(), egiw::pow(), and V.\hypertarget{classARX_130bb7336aac681ce14b027b8f1409fa}{ 94 181 \index{ARX@{ARX}!structure\_\-est@{structure\_\-est}} 95 182 \index{structure\_\-est@{structure\_\-est}!ARX@{ARX}} 96 \subsubsection[structure\_\-est]{\setlength{\rightskip}{0pt plus 5cm}ivec ARX::structure\_\-est ({\bf egiw} {\em Eg0})}\label{classARX_130bb7336aac681ce14b027b8f1409fa} 183 \subsubsection[structure\_\-est]{\setlength{\rightskip}{0pt plus 5cm}ivec ARX::structure\_\-est ({\bf egiw} {\em Eg0})}} 184 \label{classARX_130bb7336aac681ce14b027b8f1409fa} 97 185 98 186 … … 107 195 The documentation for this class was generated from the following files:\begin{CompactItemize} 108 196 \item 109 work/git/mixpp/bdm/estim/ {\bfarx.h}\item197 work/git/mixpp/bdm/estim/\hyperlink{arx_8h}{arx.h}\item 110 198 work/git/mixpp/bdm/estim/arx.cpp\end{CompactItemize}