Out-of-Distributional Risk Bounds for Neural Operators with Applications to Thehelmholtz Equation
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| Vydané v: | Journal of Computational Physics Ročník 513; s. 113168 |
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| Hlavní autori: | , , , , , |
| Médium: | Journal Article |
| Jazyk: | Japanese |
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Elsevier BV
01.01.2023
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| ISSN: | 0021-9991 |
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| Author | Tricoche, Xavier Lara Benitez, Jose Antonio Kratsios, Anastasis de Hoop, Maarten Furuya, Takashi Faucher, Florian |
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| Author_xml | – sequence: 1 orcidid: 0009-0005-9099-6773 fullname: Lara Benitez, Jose Antonio – sequence: 2 fullname: Furuya, Takashi – sequence: 3 fullname: Faucher, Florian – sequence: 4 fullname: Kratsios, Anastasis – sequence: 5 fullname: Tricoche, Xavier – sequence: 6 fullname: de Hoop, Maarten |
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| Contributor | McMaster University [Hamilton, Ontario] Shimane University ERC-StG Project Incorwave - grant 101116288 Modélisation et simulation de la propagation des ondes fondées sur des mesures expérimentales pour caractériser des milieux géophysiques et héliophysiques et concevoir des objets complexes (MAKUTU) ; Laboratoire de Mathématiques et de leurs Applications [Pau] (LMAP) ; Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Université de Pau et des Pays de l'Adour (UPPA)-Centre National de la Recherche Scientifique (CNRS)-Inria Bordeaux - Sud-Ouest ; Institut National de Recherche en Informatique et en Automatique (Inria)-Institut National de Recherche en Informatique et en Automatique (Inria)-Institut Polytechnique de Bordeaux (Bordeaux INP) Purdue University [West Lafayette] Rice University [Houston] Faucher, Florian |
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| DOI | 10.1016/j.jcp.2024.113168 10.2139/ssrn.4527168 10.13140/rg.2.2.28029.95209 10.48550/arxiv.2301.11509 |
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| SubjectTerms | [INFO.INFO-LG]Computer Science [cs]/Machine Learning [cs.LG] Computer Science - Machine Learning FOS: Computer and information sciences FOS: Mathematics Machine Learning (cs.LG) Machine Learning (stat.ML) Mathematics - Numerical Analysis Numerical Analysis (math.NA) Statistics - Machine Learning |
| Title | Out-of-Distributional Risk Bounds for Neural Operators with Applications to Thehelmholtz Equation |
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