Approximate Inference via Fibrations of Statistical Games

We characterize a number of well known systems of approximate inference as loss models: lax sections of 2-fibrations of statistical games, constructed by attaching internally-defined loss functions to Bayesian lenses. Our examples include the relative entropy, which constitutes a strict section, and...

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Veröffentlicht in:	arXiv.org 2023-12
1. Verfasser:	Smithe, Toby St Clere
Format:	Artikel
Sprache:	eng
Schlagworte:	Bayesian analysis Composition Games Lenses Mathematics - Category Theory Mathematics - Statistics Theory Statistical inference Statistics - Theory
Online-Zugang:	Volltext
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