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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2310.01364 |
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| _version_ | 1866911959811620864 |
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| author | Daniilidis, Aris Salas, David |
| author_facet | Daniilidis, Aris Salas, David |
| contents | We establish existence of steepest descent curves emanating from almost every point of a regular locally Lipschitz quasiconvex functions, where regularity means that the sweeping process flow induced by the sublevel sets is reversible. We then use max-convolution to regularize general quasiconvex functions and obtain a result of the same nature in a more general setting. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_01364 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Steepest geometric descent for regularized quasiconvex functions Daniilidis, Aris Salas, David Optimization and Control We establish existence of steepest descent curves emanating from almost every point of a regular locally Lipschitz quasiconvex functions, where regularity means that the sweeping process flow induced by the sublevel sets is reversible. We then use max-convolution to regularize general quasiconvex functions and obtain a result of the same nature in a more general setting. |
| title | Steepest geometric descent for regularized quasiconvex functions |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2310.01364 |