The Geometry of Bayesian Programming

April 16, 2019 Β· Declared Dead Β· πŸ› Logic in Computer Science

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Authors Ugo Dal Lago, Naohiko Hoshino arXiv ID 1904.07425 Category cs.PL: Programming Languages Citations 7 Venue Logic in Computer Science Last Checked 3 months ago
Abstract
We give a geometry of interaction model for a typed lambda-calculus endowed with operators for sampling from a continuous uniform distribution and soft conditioning, namely a paradigmatic calculus for higher-order Bayesian programming. The model is based on the category of measurable spaces and partial measurable functions, and is proved adequate with respect to both a distribution-based and a sampling based operational semantics.
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