On the geometry of sharp minima
Fuente:
arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2026
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| _version_ | 1866913159390953472 |
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| author | Corella, Alberto Domínguez |
| author_facet | Corella, Alberto Domínguez |
| contents | We give characterizations of sharp minimizers that emphasize their geometric properties. These include tilt invariance and weak upper gradient conditions. We relate sharp minimality to cusps in nonsmooth manifolds when interpreted locally as graphs and connect the rolling of tangent planes to the tilting of functions. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_24766 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | On the geometry of sharp minima Corella, Alberto Domínguez Optimization and Control We give characterizations of sharp minimizers that emphasize their geometric properties. These include tilt invariance and weak upper gradient conditions. We relate sharp minimality to cusps in nonsmooth manifolds when interpreted locally as graphs and connect the rolling of tangent planes to the tilting of functions. |
| title | On the geometry of sharp minima |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2605.24766 |