Math 2.0

Resources / preprint

Rate-Distortion Theory of Gaussian Mixtures via Posterior Label Sampling S96K5CR1B7

URIm2://res/S96K5CR1B7
Kindpreprint
CreatorsWeichen Wang, Deniz Gündüz
Date2026-10-11
Subjectsarxiv cs.IT, arxiv math.IT
Scopein

Expressions

e1: version, preprint

Languageen
Date2026-10-11
IdsarXiv 2610.15549

Items in this resource

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

ItemKindWhereSource
Asymptotic high-rate optimality of GRMstatementcorollary 1arxiv
Mixture SLB tightness without component-wise tightnessexampleexample 1arxiv
Joint \(M,K\) vanishing of the floorstatementproposition 1arxiv
High-rate optimality of GRM for scalar GMMsstatementtheorem 1arxiv
Multivariate zero-rate boundarystatementtheorem 3arxiv
High-rate optimality of GRM for GMMsstatementcorollary 2arxiv
Decomposition of a Gaussian densitystatementlemma 2arxiv
Strict inequality of the SSQ ratestatementcorollary 3arxiv
SSQ approximation of the RDFstatementlemma 4arxiv
Centroid reconstructionstatementlemma 3arxiv
Distortion floorstatementlemma 5arxiv
Joint-law preservationstatementlemma 1arxiv
Necessary and sufficient conditions for GRM to meet the SLBstatementtheorem 2arxiv

Catalogue records