Generalization Bounds for Physics-Informed Neural Networks for the Incompressible Navier-Stokes Equations FW08HEAPKW
| URI | m2://res/FW08HEAPKW |
|---|---|
| Kind | preprint |
| Creators | Sebastien Andre-Sloan, Dibyakanti Kumar, Alejandro F Frangi, Anirbit Mukherjee |
| Date | 2026-03-24 |
| Subjects | arxiv cs.LG, arxiv cs.NA, arxiv math.AP, arxiv math.NA |
| Scope | border |
Expressions
e1: version, preprint
| Date | 2026-03-24 |
|---|---|
| Ids | arXiv 2603.23072 |
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 |
|---|---|---|---|
| 20XW91W0FV | statement | lemma 6 | arxiv |
| \bf Neural Network for $(d+1)$-Navier-Stokes | definition | definition 2 | arxiv |
| \bf Loss Function for $(d+1)$-Navier-Stokes | definition | definition 5 | arxiv |
| \bf Collocation Points for $(d+1)$-Navier-Stokes | definition | definition 3 | arxiv |
| \bf Class of Weights for $(d+1)$-Navier-Stokes | definition | definition 6 | arxiv |
| J1ZV1CZYP8 | statement | lemma 4 | arxiv |
| \bf Rademacher Based Upper-bound for $(d+1)$-Navier-Stokes | statement | theorem 1 | arxiv |
| N2Z53672S0 | statement | lemma 2 | arxiv |
| P5ZDZHZHTD | statement | lemma 5 | arxiv |
| RX61VHB79E | statement | lemma 3 | arxiv |
| S33EZ911FD | statement | theorem | arxiv |
| \bf Empirical Risk for $(d+1)$-Navier-Stokes | definition | definition 4 | arxiv |
| \bf Huber Loss | definition | definition 1 | arxiv |
| XHXDHK4T68 | statement | lemma 7 | arxiv |
Catalogue records
- arxiv: 2603.23072 (work)