Search Dimension in Unlabeled Projection Pursuit: A Scaling Law for Subspace Restriction YYN10BJG1Q
| URI | m2://res/YYN10BJG1Q |
|---|---|
| Kind | preprint |
| Creators | Rares Dimitrie Grozavescu, Mark Girolami |
| Date | 2026-09-29 |
| Subjects | arxiv cs.LG, arxiv math.ST, arxiv stat.ML, arxiv stat.TH |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-09-29 |
|---|---|
| Ids | arXiv 2609.37917 |
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 |
|---|---|---|---|
| Noise-only complement | statement | lemma 1 | arxiv |
| Sufficient sample size for direction recovery | statement | corollary 1 | arxiv |
| Uniform non-clipping | statement | lemma 5 | arxiv |
| Spurious complement minima | statement | proposition 2 | arxiv |
| Variance floor and sub-Gaussianity | statement | lemma 3 | arxiv |
| Exact dilution | statement | lemma 2 | arxiv |
| Uniform concentration for the untruncated criterion | statement | theorem 2 | arxiv |
| Uniform concentration over a searched subspace | statement | theorem 1 | arxiv |
| Exact degeneracy of the unrestricted criterion | statement | proposition 1 | arxiv |
| Dilution identity and global quadratic growth | statement | lemma 4 | arxiv |
Catalogue records
- arxiv: 2609.37917 (work)