PASCAL - Pattern Analysis, Statistical Modelling and Computational Learning

Conjugate Projective Limits
Peter Orbanz
In: Nonparametric Bayes Workshop, NIPS 2009, 12 Dec 2009, Whistler, BC, Canada.

Abstract

Bayesian nonparametric models can be regarded as Bayesian models on infinite-dimensional spaces. These infinite-dimensional distributions can be constructed from finite-dimensional ones using the tools of stochastic process theory. An example is the construction of the Gaussian process constructed from Gaussian distributions. My talk will address the question which finite-dimensional distributions are suitable for the construction of nonparametric Bayesian models with useful statistical properties. By a proper choice of finite-dimensional models used in the construction, the nonparametric Bayesian model can be guaranteed to be conjugate, and to have a sufficient statistic. I will briefly discuss for which models these constructions follow a generic recipe, and for which cases we have to expect mathematical complications.

EPrint Type:Conference or Workshop Item (Invited Talk)
Project Keyword:Project Keyword UNSPECIFIED
Subjects:Theory & Algorithms
ID Code:6284
Deposited By:Peter Orbanz
Deposited On:08 March 2010