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pro vyhledávání: '"Paolo Perrone"'
Autor:
Sean Moss, Paolo Perrone
Publikováno v:
Proceedings of the 37th Annual ACM/IEEE Symposium on Logic in Computer Science.
Representable Markov categories and comparison of statistical experiments in categorical probability
Publikováno v:
Theoretical Computer Science. 961:113896
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 conditions for second-order stochastic dominance, a widely used way o
Autor:
Paolo Perrone
One of the central highlights of this work is the exploration of the Yoneda lemma and its profound implications, during which intuitive explanations are provided, as well as detailed proofs, and specific examples. This book covers aspects of category
We consider three monads on Top, the category of topological spaces, which formalize topological aspects of probability and possibility in categorical terms. The first one is the Hoare hyperspace monad H, which assigns to every space its space of clo
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::42eb819ba072687a552fd8efd4408a94
http://arxiv.org/abs/1910.03752
http://arxiv.org/abs/1910.03752
Autor:
Paolo Perrone, Tobias Fritz
Publikováno v:
Advances in Mathematics. 366:107081
In earlier work, we had introduced the Kantorovich probability monad on complete metric spaces, extending a construction due to van Breugel. Here we extend the Kantorovich monad further to a certain class of ordered metric spaces, by endowing the spa
Autor:
Tobias Fritz, Paolo Perrone
Publikováno v:
MFPS
Monads can be interpreted as encoding formal expressions, or formal operations in the sense of universal algebra. We give a construction which formalizes the idea of "evaluating an expression partially": for example, "2+3" can be obtained as a partia
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::a568924a36bceaa4cdc65c3dec66fc7a
http://arxiv.org/abs/1810.06037
http://arxiv.org/abs/1810.06037
Autor:
Tobias Fritz, Paolo Perrone
Publikováno v:
MFPS
We give a conceptual treatment of the notion of joints, marginals, and independence in the setting of categorical probability. This is achieved by endowing the usual probability monads (like the Giry monad) with a monoidal and an opmonoidal structure
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7a5012278f6c426b11c3ae48cba662f5
http://arxiv.org/abs/1804.03527
http://arxiv.org/abs/1804.03527
Autor:
Pablo Collazzo, Paolo Perrone
Publikováno v:
SSRN Electronic Journal.
Publikováno v:
Southern Medical Journal. 93:1078-1080
BACKGROUND Although the first reports of infection due to penicillin-nonsusceptible Streptococcus pneumoniae in the United States were in children, these strains have circulated widely in recent years, with the prevalence increasing dramatically amon
Publikováno v:
Journal of diabetes and its complications. 11(4)
This case report concerns a 14-year-old female patient, whose insulin-dependent diabetes mellitus was displayed by one infrequent complication, the cataract. This is an unusual manifestation in a 14-year-old patient; indeed, there are many findings i