Machine Learning for Inverse Problems and Data Assimilation

Fuente: arXiv
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Main Authors: Bach, Eviatar, Baptista, Ricardo, Sanz-Alonso, Daniel, Stuart, Andrew
Format: Preprint
Published: 2024
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author Bach, Eviatar
Baptista, Ricardo
Sanz-Alonso, Daniel
Stuart, Andrew
author_facet Bach, Eviatar
Baptista, Ricardo
Sanz-Alonso, Daniel
Stuart, Andrew
contents The aim of these notes is to demonstrate the potential for ideas in machine learning to impact on the fields of inverse problems and data assimilation. The perspective is one that is primarily aimed at researchers from inverse problems and/or data assimilation who wish to see a mathematical presentation of machine learning as it pertains to their fields. As a by-product, we include a succinct mathematical treatment of various fundamental underpinning topics in machine learning, and adjacent areas of (computational) mathematics.
format Preprint
id arxiv_https___arxiv_org_abs_2410_10523
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Machine Learning for Inverse Problems and Data Assimilation
Bach, Eviatar
Baptista, Ricardo
Sanz-Alonso, Daniel
Stuart, Andrew
Machine Learning
Optimization and Control
The aim of these notes is to demonstrate the potential for ideas in machine learning to impact on the fields of inverse problems and data assimilation. The perspective is one that is primarily aimed at researchers from inverse problems and/or data assimilation who wish to see a mathematical presentation of machine learning as it pertains to their fields. As a by-product, we include a succinct mathematical treatment of various fundamental underpinning topics in machine learning, and adjacent areas of (computational) mathematics.
title Machine Learning for Inverse Problems and Data Assimilation
topic Machine Learning
Optimization and Control
url https://arxiv.org/abs/2410.10523