Nonparametric In-Context Learning under Growing Geometric Complexity: Minimax Optimality and Local Geometry-Adaptivity of Transformers SNWC76WKWT
| URI | m2://res/SNWC76WKWT |
|---|---|
| Kind | preprint |
| Creators | Jaehee Seo, Jisu Kim |
| Date | 2026-09-25 |
| Subjects | arxiv stat.ML, arxiv cs.LG, arxiv math.ST, arxiv stat.TH |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-09-25 |
|---|---|
| Ids | arXiv 2609.31458 |
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 |
|---|---|---|---|
| 2WN4ZNHATV | statement | lemma F.3 | arxiv |
| 3DZXCKX720 | statement | lemma H.6 | arxiv |
| Uniform regression stability | statement | lemma G.6 | arxiv |
| 4YMX0N9H9A | statement | lemma F.1 | arxiv |
| 5TP14VK4RF | statement | corollary I.1 | arxiv |
| Transformer approximation | statement | theorem 4.1 | arxiv |
| Minimax lower bound | statement | theorem 3.1 | arxiv |
| Accuracy--resource bound | statement | corollary H.1 | arxiv |
| Product nets for tangent candidates | statement | lemma G.1 | arxiv |
| 7A5HF6MT06 | statement | corollary F.1 | arxiv |
| 86PG248BCJ | statement | lemma E.1 | arxiv |
| 8PHJP1DFZF | statement | lemma G.2 | arxiv |
| Compilation into residual transformer blocks | statement | lemma H.3 | arxiv |
| Bounded least-squares empirical process | statement | lemma I.2 | arxiv |
| AYWRAM79B8 | statement | theorem I.1 | arxiv |
| BEW6QKY42P | statement | lemma H.5 | arxiv |
| C3ZXH88WWS | statement | lemma D.1 | arxiv |
| Near-ERM oracle inequality | statement | lemma I.3 | arxiv |
| Projector identifiability | statement | lemma G.3 | arxiv |
| Entropy of bounded softmax transformers | statement | lemma I.1 | arxiv |
| D8TX5XM26E | statement | lemma H.9 | arxiv |
| G4WWY41DJH | statement | lemma H.7 | arxiv |
| H\"older functions on regular manifolds | definition | definition D.2 | arxiv |
| Chart-intercept equivalence | statement | lemma H.8 | arxiv |
| Regular embedded manifold class | definition | definition D.1 | arxiv |
| ReLU approximation on a fixed-dimensional compact set | statement | lemma H.1 | arxiv |
| S72XAPNME0 | statement | lemma F.2 | arxiv |
| Exact copying and averaging with uniform softmax | statement | lemma H.2 | arxiv |
| Near-ERM generalization | statement | theorem 5.1 | arxiv |
| Tangent estimation event | statement | lemma G.5 | arxiv |
| W34W9EVWQY | statement | lemma G.4 | arxiv |
| Polynomial structural bounds and exact selection | statement | lemma H.4 | arxiv |
| Oracle minimax upper bound | statement | theorem 3.2 | arxiv |
| Sufficient meta-sample regime | statement | corollary 5.1 | arxiv |
Catalogue records
- arxiv: 2609.31458 (work)