Sharp Stationary Gaussian Approximation for Constant-Stepsize SGD 814ZF5WMMF
| URI | m2://res/814ZF5WMMF |
|---|---|
| Kind | preprint |
| Creators | Junghoon Seo |
| Date | 2026-09-30 |
| Subjects | arxiv cs.LG, arxiv math.OC |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-09-30 |
|---|---|
| Ids | arXiv 2609.39144 |
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 |
|---|---|---|---|
| Two-state characteristic-function expansion | statement | lemma 11 | arxiv |
| Absolute covariance summability | statement | lemma 8 | arxiv |
| Matching lower bound from temporal dependence | statement | theorem 2 | arxiv |
| Noise and covariance correctors | statement | lemma 5 | arxiv |
| Perturbation of centered Gaussian laws | statement | lemma 10 | arxiv |
| Uniform decay of centered observables | statement | lemma 6 | arxiv |
| One-block contraction of the joint process | statement | proposition 4 | arxiv |
| Geometric coalescent coupling from uniform ergodicity | statement | lemma 7 | arxiv |
| Derivative bounds for Gaussian convolution | statement | lemma 9 | arxiv |
| Gaussian approximation for the invariant law | statement | theorem 1 | arxiv |
| One-block Gaussian approximation | statement | proposition 3 | arxiv |
Catalogue records
- arxiv: 2609.39144 (work)