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20122024
most citedA categorical foundation for Bayesian probability

21 citations · 42 across the 11 of their papers we have counts for

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math.PR2012

Quantifiers as Adjoint in Probability

Kirk Sturtz

Using the Kleisi category of the Giry monad the deterministic existential and universal quantifiers are generalized to incorporate nondeterminism. These probabilistic quantifiers a…

math.CT2012★ 21 cited

A categorical foundation for Bayesian probability

Jared Culbertson, Kirk Sturtz

Given two measurable spaces and with countably generated -algebras, a perfect prior probability measure on and a sampling distribution , th…