Marginal Likelihood Integrals for Mixtures of Independence Models

	Marginal Likelihood Integrals for Mixtures of Independence Models
	Lin, Shaowei 1; Sturmfels, Bernd 1; Xu, Zhiqiang2
	2009-07-01
发表期刊	JOURNAL OF MACHINE LEARNING RESEARCH
ISSN	1532-4435
卷号	10 页码:1611-1631
摘要	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.
关键词	marginal likelihood exact integration mixture of independence model computational algebra
语种	英语
资助项目	A*STAR (Agency for Science, Technology and Research, Singapore) ; Alexander von Humboldt research prize ; U. S. National Science Foundation[DMS-0456960] ; NSFC[10871196] ; Sofia Kovalevskaya prize
WOS研究方向	Automation & Control Systems ; Computer Science
WOS类目	Automation & Control Systems ; Computer Science, Artificial Intelligence
WOS记录号	WOS:000270825000011
出版者	MICROTOME PUBL
引用统计
文献类型	期刊论文
条目标识符	http://ir.amss.ac.cn/handle/2S8OKBNM/8219
专题	计算数学与科学工程计算研究所
通讯作者	Lin, Shaowei
作者单位	1.Univ Calif Berkeley, Dept Math, Berkeley, CA 94720 USA 2.Chinese Acad Sci, Acad Math & Syst Sci, LSEC, Beijing 100080, Peoples R China
推荐引用方式 GB/T 7714	Lin, Shaowei,Sturmfels, Bernd,Xu, Zhiqiang. Marginal Likelihood Integrals for Mixtures of Independence Models[J]. JOURNAL OF MACHINE LEARNING RESEARCH,2009,10:1611-1631.
APA	Lin, Shaowei,Sturmfels, Bernd,&Xu, Zhiqiang.(2009).Marginal Likelihood Integrals for Mixtures of Independence Models.JOURNAL OF MACHINE LEARNING RESEARCH,10,1611-1631.
MLA	Lin, Shaowei,et al."Marginal Likelihood Integrals for Mixtures of Independence Models".JOURNAL OF MACHINE LEARNING RESEARCH 10(2009):1611-1631.