From cc7f651dc8d13f4bbb8e580cd3a271e6d2bb342c Mon Sep 17 00:00:00 2001 From: Manuel Baum <mbaum@techfak.uni-bielefeld.de> Date: Sun, 13 Oct 2013 22:17:45 +0200 Subject: [PATCH] =?UTF-8?q?Meinen=20Teil=20in=20die=20Pr=C3=A4si=20eingef?= =?UTF-8?q?=C3=BCgt?= MIME-Version: 1.0 Content-Type: text/plain; charset=UTF-8 Content-Transfer-Encoding: 8bit --- doc/presentation/input/manu.tex | 80 ++- doc/presentation/input/manu.tex.backup | 58 ++ doc/presentation/primo.aux | 101 +-- doc/presentation/primo.log | 879 ++++++++++++------------- doc/presentation/primo.nav | 57 +- doc/presentation/primo.out | 43 +- doc/presentation/primo.pdf | Bin 1021628 -> 1245393 bytes doc/presentation/primo.toc | 17 +- examples/CalculateMarginals.py | 1 + 9 files changed, 685 insertions(+), 551 deletions(-) create mode 100644 doc/presentation/input/manu.tex.backup diff --git a/doc/presentation/input/manu.tex b/doc/presentation/input/manu.tex index 01e2052..cd86871 100644 --- a/doc/presentation/input/manu.tex +++ b/doc/presentation/input/manu.tex @@ -1 +1,79 @@ -\section{manu} \ No newline at end of file +\section{Approximate Inference} +\subsection{Motivation} +\begin{frame} +\Large\textbf{Why use approximate Inference?} + \begin{itemize} + \item Possible to include non-linear dependencies of/on real-valued variables + \item Only local computations $\rightarrow$ size of net rather unimportant + \item Possible to trade off computation time for accuracy + \end{itemize} +\end{frame} + +\subsection{Structure} + \begin{frame} + \Large\textbf{Whats the stucture?} + \begin{block}{There are two central classes for computation:} + \begin{itemize} + \item MCMC - Interface for usage, final computations + \item MarkovChainSampler - Constructs markov chains + \end{itemize} + + \end{block} + + \begin{block}{Other classes:} + \begin{itemize} + \item Evidence + \item ContinuousNode (and densities: Gauss, Exponential, Beta) + \end{itemize} + + \end{block} + + + + \end{frame} + + \begin{frame} + \Large\textbf{MarkovChainSampler} + generates a markov-chain given some evidence when chain has converged + \begin{block}{Parameters} + \begin{itemize} + \item transition\_model: Gibbs or MetropolisHastings + \item convergence\_test: Test for convergence + \item time\_steps: Maximum length of chain + \item evidence: Different kinds of evidence for a subset of nodes + \end{itemize} + \end{block} + +\end{frame} + \begin{frame} + \Large\textbf{MCMC-class} + This encapsules MarkovChainSampler + \begin{block}{Possible requests:} + \begin{itemize} + \item def calculate\_PriorMarginal(self, variables, AssumedDensity): + \item def calculate\_MAP(self, variables, evidence, AssumedDensity): + \item def calculate\_PosteriorMarginal(self, variables, evidence, AssumedDensity): + \item def calculate\_PoE(self, evidence): +\end{itemize} + + \end{block} + +\end{frame} + \begin{frame} + \Large\textbf{Real-valued variables} + \begin{block}{Which densities are supported?} + \begin{itemize} + \item Gaussian + \item Beta + \item Exponential + \end{itemize} + + \end{block} + + +\end{frame} +\subsection{Literature} +\Large\textbf{Literature} + + +\textsc{Daphne Koller and Nir Friedman} \\ Probabilistic Graphical Models: Principles and Techniques \ No newline at end of file diff --git a/doc/presentation/input/manu.tex.backup b/doc/presentation/input/manu.tex.backup new file mode 100644 index 0000000..b3cdc1a --- /dev/null +++ b/doc/presentation/input/manu.tex.backup @@ -0,0 +1,58 @@ +\section{Approximate Inference} +\subsection{Motivation} +\begin{frame} +\Large\textbf{Why use approximate Inference?} + \begin{itemize} + \item Possible to include non-linear dependencies of/on real-valued variables + \item Only local computations $\rightarrow$ size of net rather unimportant + \item Possible to trade off computation time for accuracy + \end{itemize} +\end{frame} + +\subsection{Structure} + \begin{frame} + \Large\textbf{Whats the stucture?} + \begin{block}{There are two central classes for computation:} + \begin{itemize} + \item MCMC - Interface for usage, final computations + \item MarkovChainSampler - Constructs markov chains + \end{itemize} + + \end{block} + + \begin{block}{Other classes:} + \begin{itemize} + \item Evidence + \item ContinuousNode (and densities: Gauss, Exponential, Beta) + \end{itemize} + + \end{block} + + + + \end{frame} + + \begin{frame} + \Large\textbf{MarkovChainSampler} + generates a markov-chain given some evidence when chain has converged + \begin{block}{Parameters} + \begin{itemize} + \item transition\_model: Gibbs or MetropolisHastings + \item convergence\_test: Test for convergence + \item time\_steps: Maximum length of chain + \item evidence: Different kinds of evidence for a subset of nodes + \end{itemize} + \end{block} + +\end{frame} + \begin{frame} + \Large\textbf{MCMC} + Danach in MCMC klasse ergebnisse berechnen +\end{frame} + \begin{frame} + \Large\textbf{Real-valued variables} + Which kinds of nodes are there? + Gaussian, Beta, Exponential +\end{frame} +\subsection{Literature} +asdf \ No newline at end of file diff --git a/doc/presentation/primo.aux b/doc/presentation/primo.aux index d4ed4c8..538c443 100644 --- a/doc/presentation/primo.aux +++ b/doc/presentation/primo.aux @@ -1,19 +1,16 @@ \relax -\providecommand\HyperFirstAtBeginDocument{\AtBeginDocument} -\HyperFirstAtBeginDocument{\ifx\hyper@anchor\@undefined -\global\let\oldcontentsline\contentsline -\gdef\contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} -\global\let\oldnewlabel\newlabel -\gdef\newlabel#1#2{\newlabelxx{#1}#2} -\gdef\newlabelxx#1#2#3#4#5#6{\oldnewlabel{#1}{{#2}{#3}}} -\AtEndDocument{\ifx\hyper@anchor\@undefined -\let\contentsline\oldcontentsline -\let\newlabel\oldnewlabel -\fi} -\fi} -\global\let\hyper@last\relax -\gdef\HyperFirstAtBeginDocument#1{#1} -\providecommand\HyField@AuxAddToFields[1]{} +\ifx\hyper@anchor\@undefined +\global \let \oldcontentsline\contentsline +\gdef \contentsline#1#2#3#4{\oldcontentsline{#1}{#2}{#3}} +\global 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b/doc/presentation/primo.toc index eba04f1..c80d4fa 100644 --- a/doc/presentation/primo.toc +++ b/doc/presentation/primo.toc @@ -13,10 +13,13 @@ \beamer@subsectionintoc {3}{3}{Elimination Trees}{15}{0}{3} \beamer@subsectionintoc {3}{4}{Building Strategies}{15}{0}{3} \beamer@subsectionintoc {3}{5}{Literature}{15}{0}{3} -\beamer@sectionintoc {4}{manu}{17}{0}{4} -\beamer@sectionintoc {5}{Bayesian Decision Network}{17}{0}{5} -\beamer@subsectionintoc {5}{1}{Definition}{17}{0}{5} -\beamer@subsectionintoc {5}{2}{Example}{19}{0}{5} -\beamer@subsectionintoc {5}{3}{Solving a BDN}{20}{0}{5} -\beamer@subsectionintoc {5}{4}{Structure}{22}{0}{5} -\beamer@subsectionintoc {5}{5}{Literature}{23}{0}{5} +\beamer@sectionintoc {4}{Approximate Inference}{17}{0}{4} +\beamer@subsectionintoc {4}{1}{Motivation}{17}{0}{4} +\beamer@subsectionintoc {4}{2}{Structure}{18}{0}{4} +\beamer@subsectionintoc {4}{3}{Literature}{22}{0}{4} +\beamer@sectionintoc {5}{Bayesian Decision Network}{22}{0}{5} +\beamer@subsectionintoc {5}{1}{Definition}{22}{0}{5} +\beamer@subsectionintoc {5}{2}{Example}{25}{0}{5} +\beamer@subsectionintoc {5}{3}{Solving a BDN}{26}{0}{5} +\beamer@subsectionintoc {5}{4}{Structure}{28}{0}{5} +\beamer@subsectionintoc {5}{5}{Literature}{29}{0}{5} diff --git a/examples/CalculateMarginals.py b/examples/CalculateMarginals.py index 9807635..b416cf4 100644 --- a/examples/CalculateMarginals.py +++ b/examples/CalculateMarginals.py @@ -80,6 +80,7 @@ print "Posterior of burglary : " + str(fe.calculate_PosteriorMarginal([burglary] factorTreeFactory = FactorTreeFactory() factorTree = factorTreeFactory.create_greedy_factortree(bn) +factorTree.draw() #For large nets or much queries the factorTree is the most efficient way. #The first query is expensive in calculation but all following queries are very -- GitLab