Categorical information geometry

DOI10.1007/978-3-031-38271-0_27OpenAlexW4385435193MaRDI QIDQ6178853

Paolo Perrone

Publication date: 16 January 2024

Published in: Lecture Notes in Computer Science (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/978-3-031-38271-0_27

zbMATH Keywords

category theoryinformation geometrygraphical modelsdivergencesMarkov categories

Mathematics Subject Classification ID

Monoidal categories, symmetric monoidal categories (18M05) Differential geometric aspects of statistical manifolds and information geometry (53B12) String diagrams and graphical calculi (18M30)

Cites Work

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• Axiomatic description of categories of information transformers
• A synthetic approach to Markov kernels, conditional independence and theorems on sufficient statistics
• In a Search for a Structure, Part 1: On Entropy
• Metric spaces, generalized logic, and closed categories
• Entropy and Diversity
• Disintegration and Bayesian inversion via string diagrams
• Free gs-monoidal categories and free Markov categories

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