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Free complete Wasserstein algebras

Radu Mardare ; Prakash Panangaden ; Gordon D. Plotkin.

We present an algebraic account of the Wasserstein distances $W_p$ on complete metric spaces, for $p \geq 1$. This is part of a program of a quantitative algebraic theory of effects in programming languages. In particular, we give axioms, parametric in $p$, for algebras over metric spaces equipped&nbsp;[&hellip;]

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A categorical characterization of relative entropy on standard Borel spaces

Nicolas Gagne ; Prakash Panangaden.

We give a categorical treatment, in the spirit of Baez and Fritz, of relative entropy for probability distributions defined on standard Borel spaces. We define a category suitable for reasoning about statistical inference on standard Borel spaces. We define relative entropy as a functor into&nbsp;[&hellip;]

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