Probabilistic belief contraction

Raghav Ramachandran*, Arthur Ramer, Abhaya C. Nayak

*Corresponding author for this work

Research output: Contribution to journalArticle

4 Citations (Scopus)

Abstract

Probabilistic belief contraction has been a much neglected topic in the field of probabilistic reasoning. This is due to the difficulty in establishing a reasonable reversal of the effect of Bayesian conditionalization on a probabilistic distribution. We show that indifferent contraction, a solution proposed by Ramer to this problem through a judicious use of the principle of maximum entropy, is a probabilistic version of a full meet contraction. We then propose variations of indifferent contraction, using both the Shannon entropy measure as well as the Hartley entropy measure, with an aim to avoid excessive loss of beliefs that full meet contraction entails.

Original languageEnglish
Pages (from-to)325-351
Number of pages27
JournalMinds and Machines
Volume22
Issue number4
DOIs
Publication statusPublished - Nov 2012

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