The Geometry of Bayesian Programming
April 16, 2019 Β· Declared Dead Β· π 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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