Title
Efficient Bayesian inference methods via convex optimization and optimal transport
Abstract
In this paper, we consider many problems in Bayesian inference - from drawing samples to posteriors, to calculating confidence intervals, to implementing posterior matching algorithms, by finding maps that push one distribution to another. We show that for a large class of problems (with log-concave likelihoods and log-concave priors), these problems can be efficiently solved using convex optimization. We provide example applications within the context of dynamic statistical signal processing.
Year
DOI
Venue
2013
10.1109/ISIT.2013.6620628
ISIT
Keywords
Field
DocType
belief networks,bayesian inference method,posterior matching algorithm,inference mechanisms,confidence interval calculation,maximum likelihood estimation,convex programming,dynamic statistical signal processing,optimal transport,convex optimization,computational modeling,convex functions,information theory,polynomials,monte carlo methods,markov processes
Mathematical optimization,Frequentist inference,Bayesian inference,Fiducial inference,Computer science,Statistical inference,Bayesian statistics,Prior probability,Proper convex function,Convex optimization
Conference
ISSN
Citations 
PageRank 
2157-8095
3
0.40
References 
Authors
9
4
Name
Order
Citations
PageRank
Sanggyun Kim1966.71
Rui Ma2243.95
Diego Mesa351.78
Todd P. Coleman419923.98