Rate-Distortion Theory of Gaussian Mixtures via Posterior Label Sampling S96K5CR1B7
| URI | m2://res/S96K5CR1B7 |
|---|---|
| Kind | preprint |
| Creators | Weichen Wang, Deniz Gündüz |
| Date | 2026-10-11 |
| Subjects | arxiv cs.IT, arxiv math.IT |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-10-11 |
| Ids | arXiv 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.
| Item | Kind | Where | Source |
|---|---|---|---|
| Asymptotic high-rate optimality of GRM | statement | corollary 1 | arxiv |
| Mixture SLB tightness without component-wise tightness | example | example 1 | arxiv |
| Joint \(M,K\) vanishing of the floor | statement | proposition 1 | arxiv |
| High-rate optimality of GRM for scalar GMMs | statement | theorem 1 | arxiv |
| Multivariate zero-rate boundary | statement | theorem 3 | arxiv |
| High-rate optimality of GRM for GMMs | statement | corollary 2 | arxiv |
| Decomposition of a Gaussian density | statement | lemma 2 | arxiv |
| Strict inequality of the SSQ rate | statement | corollary 3 | arxiv |
| SSQ approximation of the RDF | statement | lemma 4 | arxiv |
| Centroid reconstruction | statement | lemma 3 | arxiv |
| Distortion floor | statement | lemma 5 | arxiv |
| Joint-law preservation | statement | lemma 1 | arxiv |
| Necessary and sufficient conditions for GRM to meet the SLB | statement | theorem 2 | arxiv |
Catalogue records
- arxiv: 2610.15549 (work)
- arxiv_text: 2610.15549 (work)