HOW TO MEASURE DISAGREEMENT ?

HOW TO MEASURE DISAGREEMENT ?
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如何衡量分歧?

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发表时间:
2017
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通讯作者:
Enrico Zanardo
Enrico Zanardo
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作者:
Enrico Zanardo

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本文分析了如何测量意见之间的距离。我们介绍了六个公理,不一致的措施应该满足,并描述了所有的功能,满足他们。我们所刻画的分歧测度推广了Renyi分歧,包括Kullback-Leibler分歧和Bhattacharyya距离.我们研究的分歧功能的属性,显示它们如何相互关联,以及如何贝叶斯代理之间的分歧变化时,观察到新的公共信息。
This paper analyzes how to measure the distance between opinions. We introduce six axioms that a measure of disagreement should satisfy, and characterize all the functions that satisfy them. The disagreement measures we characterize generalize the Renyi divergences, and include the Kullback-Leibler divergence and the Bhattacharyya distance. We study the properties of the disagreement functions, showing how they relate to each other and how the disagreement between Bayesian agents changes when new public information is observed.