The Geometry and Well-Posedness of Sparse Regularized Linear Regression XJVZSGCX5V
| URI | m2://res/XJVZSGCX5V |
|---|---|
| Kind | preprint |
| Creators | Jasper Marijn Everink, Yiqiu Dong, Martin Skovgaard Andersen |
| Date | 2024-09-05 |
| MSC | 62-XX, 49-XX, 90-XX, 93-XX |
| Subjects | arxiv math.ST, arxiv math.OC, arxiv stat.TH |
| Scope | in |
Expressions
e1: version, preprint
| Language | en |
|---|---|
| Date | 2024-09-05 |
| Ids | arXiv 2409.03461 |
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 |
|---|---|---|---|
| primal complex | definition | definition 3 | arxiv |
| 228D7T69D6 | statement | proposition 7 | arxiv |
| uniqueness implies piecewise linear | statement | lemma 8 | arxiv |
| 3AC3RV6FQZ | statement | corollary 1 | arxiv |
| range condition for convex piecewise linear regularization | statement | proposition 9 | arxiv |
| polyhedral complex | definition | definition 2 | arxiv |
| Smooth data fidelity | definition | definition 6 | arxiv |
| level set complex | definition | definition 5 | arxiv |
| 4ZRDWDH0P5 | statement | proposition 4 | arxiv |
| 79GBFDM58M | statement | corollary 4 | arxiv |
| range condition for general regularization | statement | lemma 6 | arxiv |
| 7MAJ0PY66K | statement | proposition 6 | arxiv |
| BBNJE4CASD | statement | theorem 4.2 | arxiv |
| BWFXBFMJMA | statement | lemma 5 | arxiv |
| CWBRKGS7TR | statement | theorem 4.1 | arxiv |
| E4PAK0M1ZS | statement | proposition 5 | arxiv |
| G4XHW8QP41 | statement | lemma 7 | arxiv |
| GGX9HHDZE2 | statement | proposition 10 | arxiv |
| uniqueness implies continuity | statement | theorem 3.3 | arxiv |
| HB1J1YX16P | statement | proposition 8 | arxiv |
| HMTE59Z04C | statement | theorem 3.1 | arxiv |
| sufficient condition for uniqueness | statement | theorem 3.2 | arxiv |
| range of solution set | statement | corollary 2 | arxiv |
| convex piecewise linear function | definition | definition 1 | arxiv |
| Duality of complexes | statement | proposition 2 | arxiv |
| Q3DZ778XQ4 | statement | lemma 2 | arxiv |
| dual complex | definition | definition 4 | arxiv |
| solution map | definition | definition 7 | arxiv |
| WTN8D02X8F | statement | proposition 3 | arxiv |
| Subdifferential orthogonal to level set | statement | lemma 4 | arxiv |
| Necessary and sufficient conditions for uniqueness | statement | corollary 3 | arxiv |
| constant subdifferential | statement | proposition 1 | arxiv |
| XS7E6QQM6Y | statement | lemma 3 | arxiv |
| Y8H3NT05WJ | statement | lemma 1 | arxiv |
| Necessary and sufficient conditions for well-posedness | statement | theorem 1.1 | arxiv |
Catalogue records
- arxiv: 2409.03461 (work)
- arxiv_text: 2409.03461 (work)