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Paolo Perrone
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Cited by
Year
A probability monad as the colimit of spaces of finite samples
T Fritz, P Perrone
Theory and Applications of Categories 34 (7), 170-220, 2019
48*2019
Representable Markov categories and comparison of statistical experiments in categorical probability
T Fritz, T Gonda, P Perrone, EF Rischel
Theoretical Computer Science 961, 113896, 2023
442023
De Finetti's Theorem in Categorical Probability
T Fritz, T Gonda, P Perrone
arXiv preprint arXiv:2105.02639, 2021
432021
Notes on Category Theory with examples from basic mathematics
P Perrone
arXiv preprint arXiv:1912.10642, 2019
362019
Bimonoidal structure of probability monads
T Fritz, P Perrone
Electronic notes in theoretical computer science 341, 121-149, 2018
282018
Categorical probability and stochastic dominance in metric spaces
P Perrone
Dissertation, Leipzig, Universität Leipzig, 2018, 2018
222018
Hierarchical quantification of synergy in channels
P Perrone, N Ay
Frontiers in Robotics and AI 2, 35, 2016
222016
A category-theoretic proof of the ergodic decomposition theorem
S Moss, P Perrone
Ergodic Theory and Dynamical Systems 43 (12), 4166-4192, 2023
202023
Probability, valuations, hyperspace: Three monads on top and the support as a morphism
T Fritz, P Perrone, S Rezagholi
Mathematical Structures in Computer Science 31 (8), 850-897, 2021
202021
Monads, partial evaluations, and rewriting
T Fritz, P Perrone
Electronic Notes in Theoretical Computer Science 352, 129-148, 2020
182020
Dilations and information flow axioms in categorical probability
T Fritz, T Gonda, NG Houghton-Larsen, A Lorenzin, P Perrone, D Stein
Mathematical Structures in Computer Science 33 (10), 913-957, 2023
132023
Probability monads with submonads of deterministic states
S Moss, P Perrone
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer …, 2022
132022
Kan extensions are partial colimits
P Perrone, W Tholen
Applied Categorical Structures 30 (4), 685-753, 2022
112022
Markov categories and entropy
P Perrone
IEEE Transactions on Information Theory, 2023
72023
Absolute continuity, supports and idempotent splitting in categorical probability
T Fritz, T Gonda, A Lorenzin, P Perrone, D Stein
arXiv preprint arXiv:2308.00651, 2023
62023
Lifting couplings in Wasserstein spaces
P Perrone
arXiv preprint arXiv:2110.06591, 2021
62021
A criterion for kan extensions of lax monoidal functors
T Fritz, P Perrone
arXiv preprint arXiv:1809.10481, 2018
62018
Representable markov categories and comparison of statistical experiments in categorical probability (2020)
T Fritz, T Gonda, P Perrone, EF Rischel
arXiv preprint arXiv:2010.07416, 2010
52010
Weak cartesian properties of simplicial sets
C Constantin, T Fritz, P Perrone, BT Shapiro
Journal of Homotopy and Related Structures 18 (4), 477-520, 2023
42023
Stochastic order on metric spaces and the ordered Kantorovich monad
T Fritz, P Perrone
Advances in Mathematics 366, 107081, 2020
42020
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