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Article: Sufficient Conditions for Instability of the Subgradient Method with Constant Step Size
| Title | Sufficient Conditions for Instability of the Subgradient Method with Constant Step Size |
|---|---|
| Authors | |
| Issue Date | 31-Mar-2024 |
| Citation | SIAM Journal on Optimization, 2024, v. 34, n. 1 How to Cite? |
| Abstract | We provide sufficient conditions for instability of the subgradient method with constant step size around a local minimum of a locally Lipschitz semialgebraic function. They are satisfied by several spurious local minima arising in robust principal component analysis and neural networks. |
| Persistent Identifier | http://hdl.handle.net/10722/356003 |
| ISSN | 2023 Impact Factor: 2.6 2023 SCImago Journal Rankings: 2.138 |
| ISI Accession Number ID |
| DC Field | Value | Language |
|---|---|---|
| dc.contributor.author | Josz, Cédric | - |
| dc.contributor.author | Lai, Lexiao | - |
| dc.date.accessioned | 2025-05-21T00:35:13Z | - |
| dc.date.available | 2025-05-21T00:35:13Z | - |
| dc.date.issued | 2024-03-31 | - |
| dc.identifier.citation | SIAM Journal on Optimization, 2024, v. 34, n. 1 | - |
| dc.identifier.issn | 1052-6234 | - |
| dc.identifier.uri | http://hdl.handle.net/10722/356003 | - |
| dc.description.abstract | <p>We provide sufficient conditions for instability of the subgradient method with constant step size around a local minimum of a locally Lipschitz semialgebraic function. They are satisfied by several spurious local minima arising in robust principal component analysis and neural networks.<br></p> | - |
| dc.language | eng | - |
| dc.relation.ispartof | SIAM Journal on Optimization | - |
| dc.rights | This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License. | - |
| dc.title | Sufficient Conditions for Instability of the Subgradient Method with Constant Step Size | - |
| dc.type | Article | - |
| dc.identifier.doi | 10.1137/22m1535723 | - |
| dc.identifier.volume | 34 | - |
| dc.identifier.issue | 1 | - |
| dc.identifier.eissn | 1095-7189 | - |
| dc.identifier.isi | WOS:001174991600013 | - |
| dc.identifier.issnl | 1052-6234 | - |