Gaussian BROJA Partial Information Decomposition in Closed Form P40KK40XFP

URI	`m2://res/P40KK40XFP`
Kind	preprint
Creators	Ohad Sheelo, Tal Golan, Ari Pakman
Date	2026-10-09
Subjects	arxiv cs.IT, arxiv math.IT, arxiv stat.ML
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
BROJA union information lower bound	statement	proposition 2	arxiv
Gaussian BROJA union and unique information	statement	theorem 1	arxiv
Information lower bound from posterior-error covariance	statement	lemma 2	arxiv
Explicit linear-Gaussian garbling	statement	lemma 3	arxiv
Exact maximum-determinant optimizer	statement	proposition 1	arxiv
Garbling cannot improve posterior mean-square error	statement	lemma 1	arxiv
BROJA unique and union information	definition	definition 2	arxiv
Y5T7PT8R91	statement	corollary 1	arxiv
Compatible couplings	definition	definition 1	arxiv