
De Finetti's Theorem in Categorical Probability
We present a novel proof of de Finetti's Theorem characterizing permutat...
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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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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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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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Monads, partial evaluations, and rewriting
Monads can be interpreted as encoding formal expressions, or formal oper...
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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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Bimonoidal Structure of Probability Monads
We give a conceptual treatment of the notion of joints, marginals, and i...
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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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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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Beyond Bell's Theorem II: Scenarios with arbitrary causal structure
It has recently been found that Bell scenarios are only a small subclass...
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Tobias Fritz
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