Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions
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arXiv
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| Autori principali: | , , , |
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| Natura: | Preprint |
| Pubblicazione: |
2022
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| _version_ | 1866917647784869888 |
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| author | Bednarczuk, Ewa Bruccola, Giovanni Scrivanti, Gabriele Tran, The Hung |
| author_facet | Bednarczuk, Ewa Bruccola, Giovanni Scrivanti, Gabriele Tran, The Hung |
| contents | We investigate inexact proximity operators for weakly convex functions. To this aim, we derive sum rules for proximal ε-subdifferentials, by incorporating the moduli of weak convexity of the functions into the respective formulas. This allows us to investigate inexact proximity operators for weakly convex functions in terms of proximal ε-subdifferentials. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_14525 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions Bednarczuk, Ewa Bruccola, Giovanni Scrivanti, Gabriele Tran, The Hung Optimization and Control Numerical Analysis We investigate inexact proximity operators for weakly convex functions. To this aim, we derive sum rules for proximal ε-subdifferentials, by incorporating the moduli of weak convexity of the functions into the respective formulas. This allows us to investigate inexact proximity operators for weakly convex functions in terms of proximal ε-subdifferentials. |
| title | Calculus rules for proximal ε-subdifferentials and inexact proximity operators for weakly convex functions |
| topic | Optimization and Control Numerical Analysis |
| url | https://arxiv.org/abs/2211.14525 |