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08/01/2023
Absolute continuity, supports and idempotent splitting in categorical probability
Markov categories have recently turned out to be a powerful high-level f...
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03/24/2023
Weakly affine monads
Introduced in the 1990s in the context of the algebraic approach to grap...
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01/18/2023
Asymptotic and catalytic matrix majorization
The matrix majorization problem asks, given two tuples of probability ve...
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11/04/2022
Dilations and information flow axioms in categorical probability
We study the positivity and causality axioms for Markov categories as pr...
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07/12/2022
The d-separation criterion in Categorical Probability
The d-separation criterion detects the compatibility of a joint probabil...
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04/05/2022
Free gs-monoidal categories and free Markov categories
Categorical probability has recently seen significant advances through t...
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05/06/2021
De Finetti's Theorem in Categorical Probability
We present a novel proof of de Finetti's Theorem characterizing permutat...
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10/14/2020
Representable Markov Categories and Comparison of Statistical Experiments in Categorical Probability
Markov categories are a recent categorical approach to the mathematical ...
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10/09/2019
Probability, valuations, hyperspace: Three monads on Top and the support as a morphism
We consider three monads on Top, the category of topological spaces, whi...
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08/19/2019
A synthetic approach to Markov kernels, conditional independence, and theorems on sufficient statistics
We develop Markov categories as a framework for synthetic probability an...
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10/14/2018
Monads, partial evaluations, and rewriting
Monads can be interpreted as encoding formal expressions, or formal oper...
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08/29/2018
Stochastic order on metric spaces and the ordered Kantorovich monad
In earlier work, we had introduced the Kantorovich probability monad on ...
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04/10/2018
Bimonoidal Structure of Probability Monads
We give a conceptual treatment of the notion of joints, marginals, and i...
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12/14/2017
A Probability Monad as the Colimit of Finite Powers
We define a monad on the category of complete metric spaces with short m...
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09/02/2016
The Inflation Technique for Causal Inference with Latent Variables
The problem of causal inference is to determine if a given probability d...
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04/18/2014
