PPT-Frequentist vs. Bayesian Estimation

CSE 4309 Machine Learning Vassilis Athitsos Computer Science and Engineering Department University of Texas at Arlington 1 Estimating Probabilities In order to use probabilities we need to estimate them. gutmannhelsinki Dept of Mathematics Statistics Dept of Computer Science and HIIT University of Helsinki aapohyvarinenhelsinki Abstract We present a new estimation principle for parameterized statistical models The idea is to perform nonlinear logist Frequentist Bayesian Fullinformation iteratedltering(mif) PMCMC(pmcmc) Feature-based nonlinearforecasting(nlf) ABC(abc) probematching&synthetic likelihood(probe.match) (b)Notplug-and-play Frequentist . Rebecca R. Gray, Ph.D.. Department of Pathology. University of Florida. BEAST:. is a cross-platform program for Bayesian MCMC analysis of molecular sequences. entirely orientated towards rooted, time-measured phylogenies inferred using strict or relaxed molecular clock models. 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). Read R&N Ch. 14.1-14.2. Next lecture: Read R&N 18.1-18.4. You will be expected to know. Basic concepts and vocabulary of Bayesian networks.. Nodes represent random variables.. Directed arcs represent (informally) direct influences.. 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.. Author: David Heckerman. . Presented By:. Yan Zhang - 2006. Jeremy Gould – 2013. 1. Outline. Bayesian Approach. Bayesian vs. classical probability methods. Examples. Bayesian Network. Structure. Author: David Heckerman. . Presented By:. Yan Zhang - 2006. Jeremy Gould – 2013. Chip Galusha -2014. 1. Outline. Bayesian Approach. Bayesian vs. classical probability methods. Bayes. . Theorm. 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). (BO). Javad. . Azimi. Fall 2010. http://web.engr.oregonstate.edu/~azimi/. Outline. Formal Definition. Application. Bayesian Optimization Steps. Surrogate Function(Gaussian Process). Acquisition Function. Byron Smith. December 11, 2013. What is Quantum State Tomography?. What is Bayesian Statistics?. Conditional Probabilities. Bayes. ’ Rule. Frequentist. vs. Bayesian. Example: . Schrodinger’s Cat. Using Stata. Chuck . Huber. StataCorp. chuber@stata.com. 2017 Canadian Stata Users Group Meeting. Bank of Canada, Ottawa. June 9, 2017. Introduction to . the . bayes. Prefix. in Stata 15. Chuck . Huber. Aakriti. Sharma and Pragya Adhikari. Bacterial . spot is one of the most important diseases of tomato in . North Carolina . and many other States, caused by multiple bacterial species and physiological races within the genus . In this class we will review . how statistics are used to . summarize data, special probability distributions, . their . use in simple applications using Frequentist and Bayesian . methods, and Monte Carlo techniques.