De Mari Harmonic and Applied Analysis

Harmonic and Applied Analysis

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From Radon Transforms to Machine Learning

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Beschreibung

Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science.  This volume explores these rapidly growing areas and features contributions presented at the second and third editions of the Summer Schools on Applied Harmonic Analysis, held at the University of Genova in 2017 and 2019.  Each chapter offers an introduction to essential material and then demonstrates connections to more advanced research, with the aim of providing an accessible entrance for students and researchers.  Topics covered include ill-posed problems; concentration inequalities; regularization and large-scale machine learning; unitarization of the radon transform on symmetric spaces; and proximal gradient methods for machine learning and imaging.  
Deep connections exist between harmonic and applied analysis and the diverse yet connected topics of machine learning, data analysis, and imaging science.  This volume explores these rapidly growing areas and features contributions presented at the second and third editions of the Summer Schools on Applied Harmonic Analysis, held at the University of Genova in 2017 and 2019.  Each chapter offers an introduction to essential material and then demonstrates connections to more advanced research, with the aim of providing an accessible entrance for students and researchers.  Topics covered include ill-posed problems; concentration inequalities; regularization and large-scale machine learning; unitarization of the radon transform on symmetric spaces; and proximal gradient methods for machine learning and imaging.  
Explores mathematical connections between harmonic analysis and machine learning, data analysis, and imaging science Offers a current and accessible entrance into cutting-edge research in the data sciences Features contributions from the 2017 and 2019 Summer Schools on Applied Harmonic Analysis at the University of Genova

Autor*in

Filippo De Mari

Themen in »Harmonic and Applied Analysis«

Harmonic Analysis machine learning Applied harmonic analysis Concentration inequalities Ill-posed problems machine learning Imaging Science Radon transform

Stimmen zu »Harmonic and Applied Analysis«

Details

ISBN: 9783030866648
Verlag: Springer International Publishing
Erscheinung: 13.12.2021

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