Hierarchical Quantification of Synergy in Channels. - Paolo Perrone; Nihat Ay (Frontiers Robotics AI, 2015)

Iterative Scaling Algorithm for Channels. - Paolo Perrone; Nihat Ay (CoRR, 2016)

A Probability Monad as the Colimit of Finite Powers. - Tobias Fritz; Paolo Perrone (CoRR, 2017)

Stochastic order on metric spaces and the ordered Kantorovich monad. - Tobias Fritz; Paolo Perrone (CoRR, 2018)

Bimonoidal Structure of Probability Monads. - Tobias Fritz; Paolo Perrone (MFPS, 2018)

Notes on Category Theory with examples from basic mathematics. - Paolo Perrone (CoRR, 2019)

Monads, Partial Evaluations, and Rewriting. - Tobias Fritz; Paolo Perrone (MFPS, 2020)

De Finetti's Theorem in Categorical Probability. - Tobias Fritz; Tomás Gonda; Paolo Perrone (CoRR, 2021)

Lifting couplings in Wasserstein spaces. - Paolo Perrone (CoRR, 2021)

Probability, valuations, hyperspace: Three monads on top and the support as a morphism. - Tobias Fritz; Paolo Perrone; Sharwin Rezagholi (Math. Struct. Comput. Sci., 2021)

Probability monads with submonads of deterministic states. - Sean K. Moss; Paolo Perrone (LICS, 2022)

Kan Extensions are Partial Colimits. - Paolo Perrone; Walter Tholen (Appl. Categorical Struct., 2022)

Probability monads with submonads of deterministic states - Extended version. - Sean K. Moss; Paolo Perrone (CoRR, 2022)

A category-theoretic proof of the ergodic decomposition theorem. - Sean K. Moss; Paolo Perrone (CoRR, 2022)

Dilations and information flow axioms in categorical probability. - Tobias Fritz; Tomás Gonda; Nicholas Gauguin Houghton-Larsen; Paolo Perrone; Dario Stein (CoRR, 2022)

Weakly Markov Categories and Weakly Affine Monads. - Tobias Fritz; Fabio Gadducci; Paolo Perrone; Davide Trotta (CALCO, 2023)

Categorical Information Geometry. - Paolo Perrone (GSI (1), 2023)

Weakly affine monads. - Tobias Fritz; Fabio Gadducci; Paolo Perrone; Davide Trotta (CoRR, 2023)

Absolute continuity, supports and idempotent splitting in categorical probability. - Tobias Fritz; Tomás Gonda; Antonio Lorenzin; Paolo Perrone; Dario Stein (CoRR, 2023)

Categorical probability spaces, ergodic decompositions, and transitions to equilibrium. - Noé Ensarguet; Paolo Perrone (CoRR, 2023)

Dilations and information flow axioms in categorical probability. - Tobias Fritz; Tomás Gonda; Nicholas Gauguin Houghton-Larsen; Antonio Lorenzin; Paolo Perrone; Dario Stein (Math. Struct. Comput. Sci., 2023)

Representable Markov categories and comparison of statistical experiments in categorical probability. - Tobias Fritz; Tomás Gonda; Paolo Perrone; Eigil Fjeldgren Rischel (Theor. Comput. Sci., 2023)

Markov Categories and Entropy. - Paolo Perrone (IEEE Trans. Inf. Theory, 2024)

Categorical algebra of conditional probability. - Mika Bohinen; Paolo Perrone (CoRR, 2025)

Empirical Measures and Strong Laws of Large Numbers in Categorical Probability. - Tobias Fritz; Tomás Gonda; Antonio Lorenzin; Paolo Perrone; Areeb Shah-Mohammed (CoRR, 2025)