arXivDaily arXiv每日学术速递 周一至周五更新
arXiv 2201.01729cs.AImath.PRmath.STstat.TH
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交叉概率:用概率区间下注

The intersection probability: betting with probability intervals

Visual Artificial Intelligence Laboratory(视觉人工智能实验室);Oxford Brookes University(牛津布鲁克斯大学)

Fabio Cuzzolin

摘要:

概率区间是不确定性推理的一个有吸引力的工具。然而,与信念函数不同的是,它们缺乏在效用理论框架中用于决策的自然概率转换。在本文中,我们提出了使用的相交概率,原来的几何方法的框架中的不确定性,作为最自然的这种变换的信仰功能的变换。我们回顾它的理由和定义,比较它与其他候选代表系统的概率区间,讨论其信用理由的概率单纯形中的一对单形的焦点,并概述了一个可能的决策框架的概率区间,类似于可转移的信念模型的信念函数。

英文摘要:

Probability intervals are an attractive tool for reasoning under uncertainty. Unlike belief functions, though, they lack a natural probability transformation to be used for decision making in a utility theory framework. In this paper we propose the use of the intersection probability, a transform derived originally for belief functions in the framework of the geometric approach to uncertainty, as the most natural such transformation. We recall its rationale and definition, compare it with other candidate representives of systems of probability intervals, discuss its credal rationale as focus of a pair of simplices in the probability simplex, and outline a possible decision making framework for probability intervals, analogous to the Transferable Belief Model for belief functions.

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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