منابع مشابه
Inductive Inference: An Axiomatic Approach∗
A predictor is asked to rank eventualities according to their plausibility, based on past cases. We assume that she can form a ranking given any memory that consists of finitely many past cases. Mild consistency requirements on these rankings imply that they have a numerical representation via a matrix assigning numbers to eventuality-case pairs, as follows. Given a memory, each eventuality is ...
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The language for the formulation of the interesting statements is, of course, most important. We use first order predicate logic. Our main achievement in this paper is an axiom system which we believe to be more powerful than any other natural general purpose discovery axiom system. We prove soundness of this axiom system in this paper. Additionally we prove that if we remove some of the requir...
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We define the very rich language of composed conditionals on a three-valued logic and use this language as the communication tool between man and machine. Communication takes place for three reasons: Knowledge acquisition, query and response. Learning, thinking and answering questions are of pure information theoretical nature. The pivot of this knowledge processing concept is the amount of inf...
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Information delivery in a network of agents is a key issue for large, complex systems that need to do so in a predictable, efficient manner. The delivery of information in such multi-agent systems is typically implemented through routing protocols that determine how information flows through the network. Different routing protocols exist each with its own benefits, but it is generally unclear w...
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The topic of diversity is an interesting subject, both as a purely mathematical concept and also for its applications to important real-life situations. Unfortunately, although the meaning of diversity seems intuitively clear, no precise mathematical definition exists. In this paper, we adopt an axiomatic approach to the problem, and attempt to produce a satisfactory measure.
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ژورنال
عنوان ژورنال: Econometrica
سال: 2003
ISSN: 0012-9682,1468-0262
DOI: 10.1111/1468-0262.00388