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In mathematics, categorical probability is a category-theoretic approach to probability theory. The idea goes back to at least Lawvere's 1962 paper. [1]
Some constructs in the theory are
- The category of measurable spaces
- Markov category; a motivating example is the category of Markov kernels.
- Probability monad such as Giry monad.
- ^ W. Lawvere, The category of probabilistic mappings, 1962.
- https://ncatlab.org/nlab/show/category-theoretic+approaches+to+probability+theory
- https://golem.ph.utexas.edu/category/2024/07/imprecise_probabilities_toward.html#more
- https://ncatlab.org/nlab/show/Giry+monad#related_constructions
- Voevodsky's unfinished manuscript: Notes on categorical probability, July 13, 2009.
- https://golem.ph.utexas.edu/category/2020/06/categorical_probability_and_st.html
- https://golem.ph.utexas.edu/category/2020/06/statistics_for_category_theori.html
 | This category theory-related article is a stub. You can help Wikipedia by expanding it. |
| An editor has performed a search and found that
sufficient sources exist to establish the subject's
notability. (July 2024) |
In mathematics, categorical probability is a category-theoretic approach to probability theory. The idea goes back to at least Lawvere's 1962 paper. [1]
Some constructs in the theory are
- The category of measurable spaces
- Markov category; a motivating example is the category of Markov kernels.
- Probability monad such as Giry monad.
- ^ W. Lawvere, The category of probabilistic mappings, 1962.
- https://ncatlab.org/nlab/show/category-theoretic+approaches+to+probability+theory
- https://golem.ph.utexas.edu/category/2024/07/imprecise_probabilities_toward.html#more
- https://ncatlab.org/nlab/show/Giry+monad#related_constructions
- Voevodsky's unfinished manuscript: Notes on categorical probability, July 13, 2009.
- https://golem.ph.utexas.edu/category/2020/06/categorical_probability_and_st.html
- https://golem.ph.utexas.edu/category/2020/06/statistics_for_category_theori.html
|
| This category theory-related article is a stub. You can help Wikipedia by expanding it. |