A statistical theory for blind denoising: minimax estimation of the noise level from a single sample 4M662A3ZF1
| URI | m2://res/4M662A3ZF1 |
|---|---|
| Kind | preprint |
| Creators | Zhuoer Shen |
| Date | 2026-09-26 |
| MSC | 62-XX |
| Subjects | arxiv math.ST, arxiv stat.ML, arxiv stat.TH |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-26 |
| Ids | arXiv 2609.33008 |
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 |
|---|---|---|---|
| Intrinsic-dimensional indistinguishable pair | statement | lemma B.2 | arxiv |
| Two-point lower bound | statement | lemma A.2 | arxiv |
| Uniform posterior-energy approximation | statement | lemma B.4 | arxiv |
| Radial variance identity | statement | lemma A.3 | arxiv |
| Consequences of strong log-concavity | statement | lemma A.4 | arxiv |
| Universal parametric lower bound | statement | proposition B.1 | arxiv |
| MLE upper bound | statement | proposition B.5 | arxiv |
| Score and monotonicity identities | statement | lemma A.1 | arxiv |
| Low intrinsic dimensionality | statement | theorem 3.1 | arxiv |
| Strong log-concavity | statement | theorem 3.2 | arxiv |
| Single-layer approximation | statement | lemma B.3 | arxiv |
Catalogue records
- arxiv: 2609.33008 (work)
- arxiv_text: 2609.33008 (work)