Introduction to Nonsmooth Analysis and Optimization
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2020
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| _version_ | 1866915939570679808 |
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| author | Clason, Christian Valkonen, Tuomo |
| author_facet | Clason, Christian Valkonen, Tuomo |
| contents | Functions that are not differentiable in the classical sense have become a central tool in modern mathematical models for imaging, inverse problems, machine learning, and optimal control of differential equations. These models are increasingly formulated in infinite-dimensional function spaces to be independent of problem size and discretization quality. This book presents a unified and rigorous introduction to the infinite-dimensional analysis and algorithmic solution of nonsmooth optimization problems arising from the above-mentioned models, from the necessary theoretical tools of nonsmooth analysis to state-of-the-art algorithms and their convergence and stability analysis. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2001_00216 |
| institution | arXiv |
| publishDate | 2020 |
| record_format | arxiv |
| spellingShingle | Introduction to Nonsmooth Analysis and Optimization Clason, Christian Valkonen, Tuomo Optimization and Control Functions that are not differentiable in the classical sense have become a central tool in modern mathematical models for imaging, inverse problems, machine learning, and optimal control of differential equations. These models are increasingly formulated in infinite-dimensional function spaces to be independent of problem size and discretization quality. This book presents a unified and rigorous introduction to the infinite-dimensional analysis and algorithmic solution of nonsmooth optimization problems arising from the above-mentioned models, from the necessary theoretical tools of nonsmooth analysis to state-of-the-art algorithms and their convergence and stability analysis. |
| title | Introduction to Nonsmooth Analysis and Optimization |
| topic | Optimization and Control |
| url | https://arxiv.org/abs/2001.00216 |