DisCo Algebra: Why Disintegration and Combination Are Not Inverses 8XZGF33HQX

URI	`m2://res/8XZGF33HQX`
Kind	preprint
Creators	Xuexing Lu
Date	2026-10-10
MSC	60-XX, 81-XX, 18-XX, 62-XX
Subjects	arxiv math.PR, arxiv cs.LG, arxiv math-ph, arxiv math.CT, arxiv math.MP, arxiv math.ST, arxiv stat.TH
Scope	in

Expressions

The mentions of the inventory that name this resource. Each name links to the card of its inventory row.

Item	Kind	Where	Source
KL decomposition	statement	theorem 9.1	arxiv
Probability cooperad	definition	definition 6.1	arxiv
Probability operad	definition	definition 7.1	arxiv
Regular conditional measures along CDF summaries	statement	lemma 5.1	arxiv
Asymmetry of disintegration and combination	statement	proposition 8.1	arxiv