Marginal Likelihood Integrals for Mixtures of Independence Models.
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| Title: | Marginal Likelihood Integrals for Mixtures of Independence Models. |
|---|---|
| Authors: | Shaowei Lin1 SHAOWEI@MATH.BERKELEY.EDU, Sturmfels, Bernd1, Zhiqiang Xu2 XUZQ@LSEC.CC.AC.CN |
| Source: | Journal of Machine Learning Research. 7/1/2009, Vol. 10 Issue 7, p1611-1631. 21p. 2 Diagrams, 1 Graph. |
| Subjects: | Integrals, Algebraic independence, Mathematical models, Algorithms, Varieties (Universal algebra), Probability theory, Bayesian analysis |
| 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. [ABSTRACT FROM AUTHOR] |
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| Database: | Engineering Source |
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