2001
DOI: 10.1613/jair.912
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Parameter Learning of Logic Programs for Symbolic-Statistical Modeling

Abstract: We propose a logical/mathematical framework for statistical parameter learning of parameterized logic programs, i.e. denite clause programs containing probabilistic facts with a parameterized distribution. It extends the traditional least Herbrand model semantics in logic programming to distribution semantics , possible world semantics with a probability distribution which is unconditionally applicable to arbitrary logic programs including ones for HMMs, PCFGs and Bayesian networks.We also propose a new EM alg… Show more

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Cited by 174 publications
(200 citation statements)
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“…-Learning the structure and probabilities of belief networks [Heckerman, 1995]. There has been much work on learning parameters for the related system called PRISM [Sato and Kameya, 2001]. …”
Section: Icl and Learningmentioning
confidence: 99%
“…-Learning the structure and probabilities of belief networks [Heckerman, 1995]. There has been much work on learning parameters for the related system called PRISM [Sato and Kameya, 2001]. …”
Section: Icl and Learningmentioning
confidence: 99%
“…In this section we will briefly introduce the PRISM programming language [9,10] and how to use it for Hidden Markov Models [1]. A PRISM-program consists of a logical and a probabilistic part.…”
Section: Prism and Hmm'smentioning
confidence: 99%
“…PRISM [12,13] represents a logic-statistical modelling system that combines the logic programming language Prolog with probabilistic choice and machine learning, and is implemented as an extension to the B-Prolog language [16]. It includes discrete random variables called multi-valued random switches, abbreviated msw's.…”
Section: Logic-statistical Modelling In Prismmentioning
confidence: 99%
“…PRISM uses some quite advanced algorithms and data structures in order to do this in an efficient way; these topics are outside the scope of this paper and we refer to [12,13]. Training with a single observation (somewhat artificial) being the short annotated sequence above, we get for t1 prob.…”
Section: Values(nextsubstringtype(_)[t1t2t3]) Values(continueseqmentioning
confidence: 99%
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