PPT-Bayesian Inference

Chris Mathys Wellcome Trust Centre for Neuroimaging UCL SPM Course London May 11 2015 Thanks to Jean Daunizeau and Jérémie Mattout for previous versions of this talk A spectacular piece of information. P(. A . &. B. ) . = . P(. A. |. B. ) * P(. B. ). Product Rule:. Bayesian Reasoning. P(. A . &. B. ) . = . P(. A. |. B. ) * P(. B. ). Product Rule:. Shorthand for . . P(A=true & B=true) = P(A=true | B=true) * P(B=true). Bayesian Network Motivation. We want a representation and reasoning system that is based on conditional . independence. Compact yet expressive representation. Efficient reasoning procedures. Bayesian Networks are such a representation. Chris . Mathys. Wellcome Trust Centre for Neuroimaging. UCL. SPM Course (M/EEG). London, May 14, 2013. Thanks to Jean . Daunizeau. and . Jérémie. . Mattout. for previous versions of this talk. A spectacular piece of information. Author: David Heckerman. . Presented By:. Yan Zhang - 2006. Jeremy Gould – 2013. 1. Outline. Bayesian Approach. Bayesian vs. classical probability methods. Examples. Bayesian Network. Structure. Week 9 and Week 10. 1. Announcement. Midterm II. 4/15. Scope. Data . warehousing and data cube. Neural . network. Open book. Project progress report. 4/22. 2. Team Homework Assignment #11. Read pp. 311 – 314.. Kathryn Blackmond Laskey. Department of Systems Engineering and Operations Research. George Mason University. Dagstuhl. Seminar April 2011. The problem of plan recognition is to take as input a sequence of actions performed by an actor and to infer the goal pursued by the actor and also to organize the action sequence in terms of a plan structure. EGU 2012, Vienna. Michail Vrettas. 1. , Dan Cornford. 1. , Manfred Opper. 2. 1. NCRG, Computer Science, Aston University, UK. 2. Technical University of Berlin, Germany. Why do data assimilation?. Aim of data assimilation is to estimate the posterior distribution of the state of a dynamical model (X) given observations (Y). 1. 1. http://www.accessdata.fda.gov/cdrh_docs/pdf/P980048b.pdf. The . views and opinions expressed in the following PowerPoint slides are those of . the individual . presenter and should not be attributed to Drug Information Association, Inc. (“DIA”), its directors, officers, employees, volunteers, members, . Henrik Singmann. A girl had NOT had sexual intercourse.. How likely is it that the girl is NOT pregnant?. A girl is NOT pregnant. . How likely is it that the girl had NOT had sexual intercourse?. A girl is pregnant. . or. How to combine data, evidence, opinion and guesstimates to make decisions. Information Technology. Professor Ann Nicholson. Faculty of Information Technology. Monash University . (Melbourne, Australia). hevruta. Introduction. Bayesian modelling in the recent decade. Lee & . Wagemakers. (2013). Some tentative plans. Today – A . general introduction. Session 2 – Hands-on introduction into . Inference implemented on . FPGA. with . Stochastic . Bitstreams. for an Autonomous Robot . Jorge Lobo. jlobo@isr.uc.pt. Bayesian Inference implemented on FPGA. with Stochastic . Bitstreams. for an Autonomous Robot . Problem statement. Objective is to estimate or infer unknown parameter . q . based on observations y. Result is given by probability distribution.. Identify parameter . q . that we’d like to estimate.. Robert J. . Tempelman. Department of Animal Science. Michigan State University. 1. Outline of talk:. Introduction. Review . of Likelihood Inference . An Introduction to Bayesian Inference. Empirical Bayes Inference.