PPT-Bayesian Optimization

BO Javad Azimi Fall 2010 httpwebengroregonstateeduazimi Outline Formal Definition Application Bayesian Optimization Steps Surrogate FunctionGaussian Process Acquisition Function. De64257nition A Bayesian nonparametric model is a Bayesian model on an in64257nitedimensional parameter space The parameter space is typically chosen as the set of all possi ble solutions for a given learning problem For example in a regression prob edu Laurent Itti Departments of Neuroscience and Computer Science USC Los Angeles 90089 ittiuscedu Abstract Many realworld problems have complicated objective functions To optimize such functions humans utilize sophisticated sequential decisionmaking . 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). Author: David Heckerman. . Presented By:. Yan Zhang - 2006. Jeremy Gould – 2013. 1. Outline. Bayesian Approach. Bayesian vs. classical probability methods. Examples. Bayesian Network. Structure. 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, . WITH . RANDOM FORESTS AND. BAYESIAN OPTIMIZATION. Presenters: . Arni. , . Sanjana. Named Entity Recognition. Subtask of Information Extraction. Identify known entity names – person, places, organization etc. Bayesian Applications to Quality-by-Design. and Assay Development . John Peterson, Ph.D.. Director, Statistical Sciences Group. GlaxoSmithKline Pharmaceuticals . Collegeville, Pennsylvania, USA. Non-Clinical Statistics Conference, . Problem Formulation. Goal. Discover the X that maximizes Y. Global optimization. Active experimentation. We can choose which values of X we wish to evaluate. When is Bayesian optimization particularly useful?. Constantinos (Costis) Daskalakis (MIT). . Yang Cai . (McGill). Matt Weinberg (Princeton). Algorithm. Algorithm Design. (desired). Output. (given). Input. Algorithm. Agents’. Reports. Agents’. Payoffs. 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 . Javad. . Azimi. Fall 2010. http://web.engr.oregonstate.edu/~azimi/. Outline. Formal Definition. Application. Bayesian Optimization Steps. Surrogate Function(Gaussian Process). Acquisition Function. PMAX. Cognitive Science. Current Problem:. . How do children learn and how do they get it right?. Connectionists and Associationists. Associationism:. . maintains that all knowledge is represented in terms of associations between ideas, that complex ideas are built up from combinations of more primitive ideas, which, in accordance with empiricist philosophy, are ultimately derived from the senses. . Jingjing Ye, PhD. BeiGene. PSI Journal Club: Bayesian Methods. Nov. 17, 2020. Outline. Background . Using a case study to illustrate potential useful Bayesian analysis. Analysis and monitoring. Design study.