Categorical probability
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In mathematics, the term categorical probability denotes a collection of category-theoretic approaches to probability theory and related fields such as statistics, information theory and ergodic theory.
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The earliest ideas in the field were developed independently by Lawvere and by Chentsov, where they defined a version of what we today call the category of Markov kernels, and appeared in 1962 and 1965 respectively.[1][2]
Some of the most widely used structures in the theory are
- The category of measurable spaces;
- Markov categories such as the category of Markov kernels;
- Probability monads such as Giry monad.
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