Characterizing the principle of minimum cross-entropy within a conditional-logical framework
TLDR
In this paper, it is shown how probabilistic conditionals allow a new and constructive approach to the principle of minimum cross-entropy, and four principles that describe their handling in a reasonable and consistent way are developed.About:
This article is published in Artificial Intelligence.The article was published on 1998-01-01 and is currently open access. It has received 107 citations till now. The article focuses on the topics: Principle of maximum entropy & Prior probability.read more
Citations
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Common sense and maximum entropy
TL;DR: It is argued that within the rather narrow context in which this complete and consistent mode of uncertain reasoning is actually characterised by the observance of just a single common sense principle (or slogan).
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Combining probabilistic logic programming with the power of maximum entropy
TL;DR: It turns out that both approaches to probabilistic logic programming under maximum entropy have very nice nonmonotonic features and satisfy the property of rational monotonicity and several irrelevance properties.
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A Thorough Axiomatization of a Principle of Conditional Preservation in Belief Revision
TL;DR: A thorough axiomatization of a principle of conditional preservation in a very general framework, considering the revision of epistemic states by sets of conditionals, based on a nonstandard approach to conditionals which focuses on their dynamic aspects, and uses the newly introduced notion of conditional valuation functions as representations of Epistemic states.
Posted Content
Unifying Computing and Cognition: The SP Theory and its Applications
TL;DR: This book develops the conjecture that all kinds of information processing in computers and in brains may usefully be understood as "information compression by multiple alignment, unification and search".
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Conditional logic and the principle of entropy
TL;DR: The conditional three-valued logic of Calabrese is applied to the language L ∗ of conditionals on propositional variables with finite domain, which enables large-scale applications in the expert system-shell SPIRIT.
References
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Book
Theory of probability
Harold Jeffreys,R. Bruce Lindsay +1 more
TL;DR: In this paper, the authors introduce the concept of direct probabilities, approximate methods and simplifications, and significant importance tests for various complications, including one new parameter, and various complications for frequency definitions and direct methods.
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Local computations with probabilities on graphical structures and their application to expert systems
Book
Combinatorial Group Theory
Roger C. Lyndon,Paul E. Schupp +1 more
TL;DR: In this article, the authors introduce the concept of Free Products with Amalgamation (FPAM) and Small Cancellation Theory over free products with amalgamation and HNN extensions.
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Axiomatic derivation of the principle of maximum entropy and the principle of minimum cross-entropy
John E. Shore,R. Johnson +1 more
TL;DR: Jaynes's principle of maximum entropy and Kullbacks principle of minimum cross-entropy (minimum directed divergence) are shown to be uniquely correct methods for inductive inference when new information is given in the form of expected values.