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Sibirskie Èlektronnye Matematicheskie Izvestiya [Siberian Electronic Mathematical Reports], 2009, Volume 6, Pages 340–365 (Mi semr71)  

This article is cited in 5 scientific papers (total in 5 papers)

Research papers

Probability, logic & learning synthesis: formalizing prediction concept

S. O. Smerdova, E. E. Vityaevb

a Novosibirsk State University
b Sobolev Institute of Mathematics, Siberian Branch of the Russian Academy of Sciences
References:
Abstract: Presented paper is devoted to the question of prediction formalized in probabilistic and logical terms. The aim of investigation is to examine different methods such as based on SLD-inferences and alternative semantic approach. Prediction is introduced as a statement of abductive sort attained by inductive schemes. One of the significant problems concerns unregulated decrease of trusting estimations for regularities obtained during the process of inference organized by analogy with syntax logical systems. Suggested semantic approach generalizes the notion of inference and reveals essential advantages in many aspects without assuming rather strong constraints. In particular, a special set of probabilistic laws is synthesized inductively, this collection has an optimal ability to predict (in the context of available data). Semantic definition of prediction leads us to a new paradigm, where deduction is replaced with computability concept: it rises conditional probability during the steps of inference (in contrast to SLD) and also maximally specifies resulted prediction rule. Moreover, we prove that probabilistic estimations obtained by semantic predictions are greater or equal to those by corresponding SLD-analogical systems. In conclusion practical applications are discussed.
Keywords: prediction; explanation; probability, logic & learning synthesis; probabilistic logic programming; relational data mining; scientific discovery.
Received June 9, 2009, published November 7, 2009
Bibliographic databases:
Document Type: Article
UDC: 510.646+.647
MSC: 03B48
Language: Russian
Citation: S. O. Smerdov, E. E. Vityaev, “Probability, logic & learning synthesis: formalizing prediction concept”, Sib. Èlektron. Mat. Izv., 6 (2009), 340–365
Citation in format AMSBIB
\Bibitem{SmeVit09}
\by S.~O.~Smerdov, E.~E.~Vityaev
\paper Probability, logic \& learning synthesis: formalizing prediction concept
\jour Sib. \`Elektron. Mat. Izv.
\yr 2009
\vol 6
\pages 340--365
\mathnet{http://mi.mathnet.ru/semr71}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=2586694}
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  • This publication is cited in the following 5 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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