arXiv:2502.03477 · v5

Partial Markov Categories

首次提交 2025-01-24 19:21

版本更新 2026-10-28 10:22

雷达观测 2026-10-30 09:53

摘要

We introduce partial Markov categories as a synthetic framework for synthetic probabilistic inference, blending the work of Cho and Jacobs, Fritz, and Golubtsov on Markov categories with the work of Cockett and Lack on cartesian restriction categories. We describe observations, Bayes' theorem, normalisation, and both Pearl's and Jeffrey's updates in purely categorical terms.

作者备注：Extended version of "Evidential Decision Theory via Partial Markov Categories", arXiv:2301.12989