Markov 圈 - .｡oO(さっちゃんですよヾ(〃l _ l)ﾉﾞ☆)

Markov 圈

Markov category in nLab

Markov Category (nLab) | 紹介 – Hirofumi Shiba

https://web.archive.org/web/20251228191114/https://162348.github.io/posts/2023/Probability/MarkovCategory.html

マルコフ圏 A First Look -- 圏論的確率論の最良の定式化 - 檜山正幸のキマイラ飼育記 (はてなBlog)

https://web.archive.org/web/20250826055531/https://m-hiyama.hatenablog.com/entry/2020/06/09/154044

copy-discard (CD) category (garbage-share (GS) monoidal category。graph substitution (GS) monoidal category。對角附き monoidal 圈 (monooidal category with diagonals))

gs-monoidal category in nLab

Markov category in nLab#Markov and CD categories

離散確率分布のCD圏

https://web.archive.org/web/20240918185623/https://cympfh.cc/aiura/discrete-cd-category

CD圏での概同値 (Almost Equality)

https://web.archive.org/web/20240812231140/https://cympfh.cc/aiura/cd-category-almost-equality

CD圏の条件付き独立性

https://web.archive.org/web/20240812224313/https://cympfh.cc/aiura/cd-category-conditional-independence

準マルコフ圏 - (新) 檜山正幸のキマイラ飼育記メモ編 (quasi-Markov category)

マルコフ圏の一族 - 檜山正幸のキマイラ飼育記 (はてなBlog)#準マルコフ圏

gsモノイド圏 - 檜山正幸のキマイラ飼育記 (はてなBlog)

Markov 核 (射)

Markov kernel in nLab

マルコフ核：確率計算のモダンな体系 - 檜山正幸のキマイラ飼育記 (はてなBlog)

確率核という概念 – Hirofumi Shiba

https://web.archive.org/web/20251228190030/https://162348.github.io/posts/2024/Probability/Kernel.html

category-theoretic approaches to probability theory in nLab

Giry monad in nLab

monads of probability, measures, and valuations in nLab

stochastic map in nLab