A categorical characterization of relative entropy on standard Borel spaces

We give a categorical treatment, in the spirit of Baez and Fritz, of relative entropy for probability distributions defined on standard Borel spaces. We define a category suitable for reasoning about statistical inference on standard Borel spaces. We define relative entropy as a functor into Lawvere...

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Bibliographic Details
Main Authors: Nicolas Gagne, Prakash Panangaden
Format: Article
Language:English
Published: Logical Methods in Computer Science e.V. 2023-11-01
Series:Logical Methods in Computer Science
Subjects:
Online Access:https://lmcs.episciences.org/7621/pdf