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Articles by Otmar Scherzer
Neural Operators for Solving Nonlinear Inverse Problems
?Mathematical formulae have been encoded as MathML and are displayed in this HTML version using MathJax in order to improve their display. Uncheck the box to turn MathJax off. This feature requires Javascript. Click on a formula to zoom. Abstract We consider solving a probably infinite dimensional operator equation, where the operator is not modeled by physical laws but is specified indirectly via training pairs of the input-output relation of the operator.
Deciphering scrolls with tomography: A training experiment
arXiv:2504.11485 (eess) [Submitted on 14 Apr 2025 (v1), last revised 2 May 2025 (this version, v2)] View PDF HTML (experimental) Subjects: Image and Video Processing (eess.IV); Computer Vision and Pattern Recognition (cs.CV) MSC classes: 97M10, 44A12 Cite as: arXiv:2504.11485 [eess.IV] (or arXiv:2504.11485v2 [eess.IV] for this version) https://doi.org/10.48550/arXiv.2504.11485 Submission history From: Sonia Foschiatti [ view email] [v1] Mon, 14 Apr 2025 07:20:21 UTC (18,455 KB) [v2] Fri, 2...
[2408.15847] Vertex characterization via second-order topological derivatives
arXiv:2408.15847 (math) View PDF Subjects: Numerical Analysis (math.NA) MSC classes: 35C20, 65K10 Cite as: arXiv:2408.15847 [math.NA] (or arXiv:2408.15847v1 [math.NA] for this version) https://doi.org/10.48550/arXiv.2408.15847 Submission history From: Peter Gangl [ view email] [v1] Wed, 28 Aug 2024 15:09:44 UTC (5,709 KB) Bibliographic Tools Bibliographic Explorer Toggle Bibliographic Explorer () Litmaps Toggle Litmaps (What is Litmaps?) scite.ai Toggle scite Smart Citations (What are Smart...
[2408.10690] Spectral Function Space Learning and Numerical Linear Algebra Networks for Solving Linear Inverse Problems
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[2401.09445] Quadratic neural networks for solving inverse problems
arXiv:2401.09445 (math) Download PDF HTML (experimental) Comments: Subjects: Numerical Analysis (math.NA) MSC classes: 65J22, 45Q05, 42C40, 65F20 Cite as: arXiv:2401.09445 [math.NA] (or arXiv:2401.09445v1 [math.NA] for this version) https://doi.org/10.48550/arXiv.2401.09445 Submission history From: Cong Shi [ view email] [v1] Wed, 20 Dec 2023 16:22:45 UTC (32 KB) Bibliographic Tools Bibliographic Explorer Toggle Bibliographic Explorer () Litmaps Toggle Litmaps (What is Litmaps?) scite.ai...
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