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D-Index & Metrics

Mathematics

D-Index
70
Citations
28843
World Ranking
269
National Ranking
148

Research.com Recognitions

  • 2018 - SIAM Fellow For his fundamental contributions to the mathematical foundations of information and computational sciences.
  • 2017 - Member of the National Academy of Sciences
  • 2013 - Fellow of the American Mathematical Society
  • 2001 - Fellow of the American Academy of Arts and Sciences

Overview

Ronald A. DeVore is affiliated with Texas A&M University in the United States. Their research spans the fields of Engineering and Mathematics, with a particular focus on Computational Mechanics, Statistical and Nonlinear Physics, Artificial Intelligence, Mechanical Engineering, and Numerical Analysis.

The scientist's work emphasizes topics related to Model Reduction and Neural Networks, Advanced Numerical Analysis Techniques, Neural Networks and Applications, Advanced Numerical Methods in Computational Mathematics, Probabilistic and Robust Engineering Design, Control Systems and Identification, and Sparse and Compressive Sensing Techniques.

DeVore has contributed to several frequent publication venues, including:

  • arXiv (Cornell University)
  • Constructive Approximation
  • SIAM Journal on Numerical Analysis
  • Acta Numerica
  • Foundations of Computational Mathematics

Some of the recent papers include:

  • Neural network approximation, 2021, Acta Numerica
  • Nonlinear Approximation and (Deep) ReLU Networks, 2021, Constructive Approximation
  • Optimal Reduced Model Algorithms for Data-Based State Estimation, 2020, SIAM Journal on Numerical Analysis
  • Optimal Stable Nonlinear Approximation, 2021, Foundations of Computational Mathematics
  • Neural Network Approximation of Refinable Functions, 2022, IEEE Transactions on Information Theory

Among frequent coauthors are Guergana Petrova, Albert Cohen, Wolfgang Dahmen, Andrea Bonito, and Peter Binev.

Ronald A. DeVore has received several recognitions, including being named a SIAM Fellow in 2018 for fundamental contributions to the mathematical foundations of information and computational sciences. They were also elected a member of the National Academy of Sciences in 2017. Additionally, they were recognized as a Fellow of the American Mathematical Society in 2013 and a Fellow of the American Academy of Arts and Sciences in 2001.

Best Publications

  • A Simple Proof of the Restricted Isometry Property for Random Matrices

    Richard G. Baraniuk;Mark A. Davenport;Ronald A. DeVore;Michael B. Wakin

  • Iteratively reweighted least squares minimization for sparse recovery

    Ingrid Daubechies;Ronald DeVore;Massimo Fornasier;C. Si̇nan Güntürk

  • Compressed sensing and best k-term approximation

    Albert Cohen;Wolfgang Dahmen;Ronald DeVore

  • Image compression through wavelet transform coding

    R.A. DeVore;B. Jawerth;B.J. Lucier

  • Iteratively re-weighted least squares minimization for sparse recovery

    Ingrid Daubechies;Ronald DeVore;Massimo Fornasier;C. Sinan Gunturk

  • Deterministic constructions of compressed sensing matrices

    Ronald A. DeVore

  • Some remarks on greedy algorithms

    Ronald A. DeVore;Vladimir N. Temlyakov

  • Adaptive Finite Element Methods with convergence rates

    Peter Binev;Wolfgang Dahmen;Ron DeVore

  • Adaptive wavelet methods for elliptic operator equations: convergence rates

    Albert Cohen;Wolfgang Dahmen;Ronald DeVore

  • Data compression and harmonic analysis

    D.L. Donoho;M. Vetterli;R.A. DeVore;I. Daubechies

  • Convergence Rates for Greedy Algorithms in Reduced Basis Methods

    Peter Binev;Albert Cohen;Wolfgang Dahmen;Ronald A. DeVore

  • Approximation from shift-invariant subspaces of $L\sb 2(old R\sp d)$

    Carl de Boor;Ronald A. DeVore;Amos Ron

  • The structure of finitely generated shift-invariant spaces in L2 (Rd)

    Carl De Boor;Ronald A. DeVore;Amos Ron

  • Compression of wavelet decompositions

    Ronald A. DeVore;Björn Jawerth;Vasil Popov

  • Maximal Functions Measuring Smoothness

    Ronald A. DeVore;Robert C. Sharpley

  • ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S

    Albert Cohen;Ronald Devore;Christoph Schwab

  • Convergence Rates of Best N -term Galerkin Approximations for a Class of Elliptic sPDEs

    Albert Cohen;Ronald DeVore;Christoph Schwab

  • Approximation and learning by greedy algorithms

    Andrew R. Barron;Albert Cohen;Wolfgang Dahmen;Ronald A. DeVore

  • Interpolation of Besov-Spaces

    Ronald A. DeVore;Vasil A. Popov

  • On the Construction of Multivariate (pre) Wavelets

    Carl de Boor;Ronald A. DeVore;Amos Ron

  • The Approximation of Continuous Functions by Positive Linear Operators

    Ronald A. DeVore

Frequent Co-Authors

Wolfgang Dahmen
Wolfgang Dahmen University of South Carolina
Ingrid Daubechies
Ingrid Daubechies Duke University
Albert Cohen
Albert Cohen Google (United States)
Endre Süli
Endre Süli University of Oxford
Amos Ron
Amos Ron University of Wisconsin–Madison
Vladimir Temlyakov
Vladimir Temlyakov Lomonosov Moscow State University
Arieh Iserles
Arieh Iserles University of Cambridge
Carl de Boor
Carl de Boor University of Wisconsin–Madison
Richard G. Baraniuk
Richard G. Baraniuk Rice University

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