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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2508.07709 |
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| _version_ | 1866909731980836864 |
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| author | Hanke, Martin Scherzer, Otmar |
| author_facet | Hanke, Martin Scherzer, Otmar |
| contents | We study the stability of regularization by projection for solving linear inverse problems if the forward operator is given indirectly but specified via some input-output training pairs. We extend the approach in "Data driven regularization by projection" (Aspri, Korolev, and Scherzer; Inverse Problems; 36 (2020), 125009) to data pairs, which are noisy and, possibly, linearly dependent. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_07709 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Addendum on data driven regularization by projection Hanke, Martin Scherzer, Otmar Numerical Analysis We study the stability of regularization by projection for solving linear inverse problems if the forward operator is given indirectly but specified via some input-output training pairs. We extend the approach in "Data driven regularization by projection" (Aspri, Korolev, and Scherzer; Inverse Problems; 36 (2020), 125009) to data pairs, which are noisy and, possibly, linearly dependent. |
| title | Addendum on data driven regularization by projection |
| topic | Numerical Analysis |
| url | https://arxiv.org/abs/2508.07709 |