Marginal Likelihood Integrals for Mixtures of Independence Models
arXiv:0805.3602
Abstract
Inference in Bayesian statistics involves the evaluation of marginal likelihood integrals. We present algebraic algorithms for computing such integrals exactly for discrete data of small sample size. Our methods apply to both uniform priors and Dirichlet priors. The underlying statistical models are mixtures of independent distributions, or, in geometric language, secant varieties of Segre-Veronese varieties.
28 pages. Journal of Machine Learning Research, to appear