Commutative monads as a theory of distributions
By Anders Bredahl Kock. Theory and Applications of Categories, 2011
55 citations recorded by the source corpus.
It is shown how the theory of commutative monads provides an axiomatic framework for several aspects of distribution theory in a broad sense, including proba- bility distributions, physical extensive quantities, and Schwartz distributions of compact support. Among the particular aspects considered here are the notions of convolution, density, expectation, and conditional probability.
Subfields: Artificial Intelligence, Computational Theory and Mathematics
View Paper: https://www.semanticscholar.org/paper/582ec95851923a610cee43b6b7068b6ccac86cd0
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Citations in the corpus
- Tensor categorical foundations of algebraic geometry (2014, background): “The idea of the tensor product of modules classifying bihomomorphisms over a monoidal monad goes back to Linton ([Lin69, §1, Remark]) and has been studied by Kock ([Koc71a], [Koc12]).”