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math.ST2020★ 28 cited
Representable Markov Categories and Comparison of Statistical Experiments in Categorical Probability
Tobias Fritz, Tomáš Gonda, Paolo Perrone +1
Markov categories are a recent categorical approach to the mathematical foundations of probability and statistics. Here, this approach is advanced by stating and proving equivalent…
math.CT2020★ 2 cited
Partial Evaluations and the Compositional Structure of the Bar Construction
Carmen Constantin, Paolo Perrone, Tobias Fritz +1
The algebraic expression can be evaluated to , but it can also be partially evaluated to . In categorical algebra, such partial evaluations can be defined in…