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arXiv 0708.2879physics.data-anphysics.gen-ph
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关于Shannon-Jaynes熵和Fisher信息

On Shannon-Jaynes Entropy and Fisher Information

Vesselin I. Dimitrov

摘要:

最大熵原则的基本原则作为分配和更新概率的规则进行了重新审视。证明了Shannon-Jaynes相对熵是更新规则的最佳判据。一个建设性的规则是合理的,它分配的概率最不敏感的粗粒度。这些发展的影响解释物理定律的推理规则不完全信息的简要讨论。

英文摘要:

The fundamentals of the Maximum Entropy principle as a rule for assigning and updating probabilities are revisited. The Shannon-Jaynes relative entropy is vindicated as the optimal criterion for use with an updating rule. A constructive rule is justified which assigns the probabilities least sensitive to coarse-graining. The implications of these developments for interpreting physics laws as rules of inference upon incomplete information are briefly discussed.

机构、总结、中文摘要均由AI分析而来,可能存在错误,请以论文正文为准。

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