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Juan Pablo Vigneaux
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Year
Topology of statistical systems: a cohomological approach to information theory
JP Vigneaux
Université Sorbonne Paris Cité, 2019
322019
Information structures and their cohomology
JP Vigneaux
Theory and Applications of Categories 35 (38), 1476–1529, 2020
122020
Extra-fine sheaves and interaction decompositions
D Bennequin, O Peltre, G Sergeant-Perthuis, JP Vigneaux
arXiv preprint arXiv:2009.12646, 2020
102020
Information theory with finite vector spaces
JP Vigneaux
IEEE Transactions on Information Theory 65 (9), 5674-5687, 2019
72019
Entropy under disintegrations
JP Vigneaux
Geometric Science of Information: 5th International Conference, GSI 2021 …, 2021
32021
A characterization of generalized multinomial coefficients related to the entropic chain rule
JP Vigneaux
Aequationes mathematicae 97 (2), 231-255, 2023
22023
Typicality for stratified measures
JP Vigneaux
IEEE Transactions on Information Theory, 2023
12023
A functional equation related to generalized entropies and the modular group
D Bennequin, JP Vigneaux
Aequationes mathematicae 94 (6), 1201-1212, 2020
12020
A formula for the categorical magnitude in terms of the Moore-Penrose pseudoinverse
S Chen, JP Vigneaux
Bull. Belg. Math. Soc. Simon Stevin 30 (3), 341-353, 2023
2023
On the entropy of rectifiable and stratified measures
JP Vigneaux
International Conference on Geometric Science of Information, 338-346, 2023
2023
Categorical magnitude and entropy
S Chen, JP Vigneaux
International Conference on Geometric Science of Information, 278-287, 2023
2023
Information cohomology of classical vector-valued observables
JP Vigneaux
Geometric Science of Information: 5th International Conference, GSI 2021 …, 2021
2021
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Articles 1–12