Generalization Bounds for Flow-matching Generative Models for Intrinsically Low-dimensional Data PGAZ70WGMG
| URI | m2://res/PGAZ70WGMG |
|---|---|
| Kind | preprint |
| Creators | Saptarshi Chakraborty, Quentin Berthet, Peter L. Bartlett |
| Date | 2026-10-02 |
| Subjects | arxiv stat.ML, arxiv cs.AI, arxiv cs.LG, arxiv math.ST, arxiv stat.TH |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-10-02 |
|---|---|
| Ids | arXiv 2610.02663 |
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 |
|---|---|---|---|
| Main Theorem | statement | theorem 6 | arxiv |
| 1WBXT42NX2 | statement | lemma 8 | arxiv |
| 5E3BBEKRN9 | statement | lemma 23 | arxiv |
| 5K09EX2BJD | statement | lemma 11 | arxiv |
| Neural networks | definition | definition 2 | arxiv |
| Wasserstein Dimension | definition | definition 5 | arxiv |
| 70TR4ND6RQ | statement | lemma 17 | arxiv |
| A2N9TC8Y15 | statement | lemma 22 | arxiv |
| Temporal velocity of $v_\star$ | statement | lemma 18 | arxiv |
| Wasserstein $p$-distance | definition | definition 3 | arxiv |
| GYQ3VTH7MB | unknown | unknown 1 | arxiv |
| HR2AB657YD | statement | lemma 10 | arxiv |
| JR5W5DVJRC | statement | corollary 16 | arxiv |
| Lipschitzness of the score | statement | lemma 12 | arxiv |
| K5MNGNA6G5 | statement | lemma 20 | arxiv |
| Marginal equivalence of the ODE and the SDE family | statement | theorem 13 | arxiv |
| Q31XZFWVTR | statement | lemma 21 | arxiv |
| Q9H8Y4DX21 | statement | theorem 4 | arxiv |
| Spatial Derivative of $v_\star$ | statement | lemma 15 | arxiv |
| SPWNWMADC3 | statement | lemma 14 | arxiv |
| T6CHF3YAN9 | statement | lemma 7 | arxiv |
| VZF4JYNJQS | statement | lemma 9 | arxiv |
| Covering Number | definition | definition 1 | arxiv |
| XZQX8YHBNK | statement | lemma 19 | arxiv |
Catalogue records
- arxiv: 2610.02663 (work)