Tight Stochastic Condition-Number Dependence in Nonconvex-Strongly-Concave Minimax Optimization QKNE21ABF3
| URI | m2://res/QKNE21ABF3 |
|---|---|
| Kind | preprint |
| Creators | Qihao Zhou |
| Date | 2026-09-25 |
| MSC | 49-XX, 90-XX, 93-XX |
| Subjects | arxiv math.OC, arxiv cs.LG |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2026-09-25 |
| Ids | arXiv 2609.30877 |
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 |
|---|---|---|---|
| Matching bound for the construction | statement | proposition 1 | arxiv |
| Oracle validity | statement | lemma 4 | arxiv |
| Primal function | statement | lemma 2 | arxiv |
| Primal-gradient tightness under controlled cross derivatives | statement | corollary 2 | arxiv |
| Primal-gradient lower bound | statement | theorem 2 | arxiv |
| Dual probability zero-chain | statement | lemma 5 | arxiv |
| Terminal point | statement | lemma 7 | arxiv |
| Combined worst-case lower bound | statement | corollary 1 | arxiv |
| Gradient comparison | statement | lemma 6 | arxiv |
| Zero-respecting algorithm | definition | definition 2 | arxiv |
| Basic properties | statement | lemma 1 | arxiv |
| Membership in the problem class | statement | lemma 3 | arxiv |
| Stochastic first-order oracle | definition | definition 1 | arxiv |
| Tight stochastic complexity and SAPD+ | statement | theorem 1 | arxiv |
Catalogue records
- arxiv: 2609.30877 (work)
- arxiv_text: 2609.30877 (work)