Disintegration and Bayesian inversion via string diagrams
From MaRDI portal
Publication:5243152
DOI10.1017/S0960129518000488zbMath1452.18008arXiv1709.00322OpenAlexW2949602009WikidataQ128221956 ScholiaQ128221956MaRDI QIDQ5243152
Publication date: 15 November 2019
Published in: Mathematical Structures in Computer Science (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1709.00322
Bayesian problems; characterization of Bayes procedures (62C10) Monads (= standard construction, triple or triad), algebras for monads, homology and derived functors for monads (18C15) Integration and disintegration of measures (28A50)
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Uses Software
Cites Work
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- A categorical foundation for Bayesian probability
- The existence of regular conditional probabilities: Necessary and sufficient conditions
- The geometry of tensor calculus. I
- Terminality implies no-signalling\dots and much more than that
- From probability monads to commutative effectuses
- A predicate/state transformer semantics for Bayesian learning
- Category-theoretic structure for independence and conditional independence
- Separoids: a mathematical framework for conditional independence and irrelevance
- A User's Guide to Measure Theoretic Probability
- Categorical quantum mechanics
- States of Convex Sets
- Random Measures, Theory and Applications
- Picturing Quantum Processes
- Pointless Learning
- Commutative Semantics for Probabilistic Programming
- A Survey of Graphical Languages for Monoidal Categories
- Quantum Theory from First Principles
- New Directions in Categorical Logic, for Classical, Probabilistic and Quantum Logic
- Understanding Probabilistic Programs
- Disintegration and compact measures.
- Conditioning as disintegration
- The EfProb Library for Probabilistic Calculations
- Semantics for probabilistic programming
- A Formal Semantics of Influence in Bayesian Reasoning
- The Logical Essentials of Bayesian Reasoning
- Identifying independence in bayesian networks
- Stochastic Relations
- Exact Bayesian inference by symbolic disintegration
- Bayesian Reasoning and Machine Learning
- Scalars, Monads, and Categories
- Measure Transformer Semantics for Bayesian Machine Learning
- An effect-theoretic account of Lebesgue integration