论文标题

通过凸半层次和唯一基础呈现凸的概率分布集

Presenting convex sets of probability distributions by convex semilattices and unique bases

论文作者

Bonchi, Filippo, Sokolova, Ana, Vignudelli, Valeria

论文摘要

我们证明,每一个有限生成的有限支持的概率分布都有一个独特的基础,并使用此结果表明,概率分布的凸元集由凸半层次的代数理论提出。

We prove that every finitely generated convex set of finitely supported probability distributions has a unique base, and use this result to show that the monad of convex sets of probability distributions is presented by the algebraic theory of convex semilattices.

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