Download An Inductive Logic Programming Approach to Statistical by K. Kersting PDF

By K. Kersting

During this book, the writer Kristian Kersting has made an attack on one of many toughest integration difficulties on the center of synthetic Intelligence learn. This includes taking 3 disparate significant parts of study and trying a fusion between them. the 3 parts are: common sense Programming, Uncertainty Reasoning and laptop studying. almost all these is a massive sub-area of study with its personal linked overseas study meetings. Having taken on any such Herculean job, Kersting has produced a chain of effects that are now on the middle of a newly rising zone: Probabilistic Inductive common sense Programming. the hot region is heavily tied to, notwithstanding strictly subsumes, a brand new box often called 'Statistical Relational studying' which has within the previous couple of years won significant prominence within the American synthetic Intelligence study neighborhood. inside of this e-book, the writer makes a number of significant contributions, together with the advent of a sequence of definitions which circumscribe the recent sector shaped by way of extending Inductive good judgment Programming to the case during which clauses are annotated with chance values. additionally, Kersting investigates the process of studying from proofs and the difficulty of upgrading Fisher Kernels to Relational Fisher Kernels.

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11, f1 13, 1). Consider now the positive example mutagenic(225). It is covered by H mutagenic(M) : − nitro(M, R1), logp(M, C), C > 1. together with the background knowledge B, because H ∪ B entails the example. To see this, we unify mutagenic(225) with the clause’s head. This yields mutagenic(225) : − nitro(225, R1), logp(225, C), C > 1. Now, nitro(225, R1) unifies with the fifth ground atom (left-hand side column) in B, and logp(225, C) with the fourth one. 01 > 1, we found a proof of mutagenic(225).

1) P (I|H, B) = Z(I) Z(I) C∈H∪B C∈H∪B where nC (I) is the number of true groundings of C in I, φC (I) = ewC , and B is a possible background theory. 3. The Markov network induced by the friends-smoker Markov logic network assuming anna and bob as constants. Markov logic networks can be viewed as proving templates for constructing Markov networks. Given a set D constants, the nodes correspond to the ground atoms in the Herbrand base of the corresponding set of formulas C and there is an edge between two nodes if and only if the corresponding ground atoms appear together in at least one grounding of one formula Ci .

19, we will now introduce three probabilistic ILP settings, which extend the purely logical ones sketched before. 26. 1 Probabilistic Learning from Interpretations In order to integrate probabilities in the learning from interpretations setting, we need to find a way to assign probabilities to interpretations covered by an annotated logic program. In the past few years, this issue has received a lot of attention and various different approaches have been developed such as probabilistic-logic programs [Ngo and Haddawy, 1997], probabilistic relational models [Pfeffer, 2000], relational Baysian networks J¨ ager [1997], and Bayesian logic programs [Kersting, 2000, Kersting and De Raedt, 2001b].

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