论文标题

de Finetti的构造是一个类别的限制

De Finetti's construction as a categorical limit

论文作者

Jacobs, Bart, Staton, Sam

论文摘要

本文以现代的分类术语重新制定了概率理论的经典结果:De Finetti的代表定理被重新描述为Giry Monad Kleisli类别中一系列有限空间的限制性陈述。这种新的限制用于确定最终的可交换山地。

This paper reformulates a classical result in probability theory from the 1930s in modern categorical terms: de Finetti's representation theorem is redescribed as limit statement for a chain of finite spaces in the Kleisli category of the Giry monad. This new limit is used to identify among exchangeable coalgebras the final one.

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