Conditioning on equality of continuous random variables is in general ill-defined, as the exact observation may have probability zero; this is Borel’s paradox. We use disintegrations in the abstract setting of CD- and Markov categories as a foundation for defining probabilistic programming languages with conditioning on equality in a principled way.
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|Binary Tree Hamiltonian Monte Carlo|
Carol MakUniversity of Oxford, Fabian ZaiserUniversity of Oxford, C.-H. Luke OngUniversity of OxfordFile Attached
|An algebraic theory of conditioning|
|The Selection Monad and Decision-Making Languages|