Ronald DeVore | Academic Influence

Ronald DeVore's AcademicInfluence.com Rankings

Ronald DeVore

Mathematics

#2942

World Rank

#4432

Historical Rank

#1123

USA Rank

Applied Mathematics

#92

World Rank

#105

Historical Rank

#46

USA Rank

Measure Theory

#887

World Rank

#1162

Historical Rank

#330

USA Rank

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Mathematics

Ronald DeVore's Degrees

PhD Mathematics University of South Carolina
Masters Mathematics University of South Carolina
Bachelors Mathematics University of South Carolina

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Why Is Ronald DeVore Influential?

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According to Wikipedia, Ronald Alvin DeVore is an American mathematician and academic. He is the Walter E. Koss Professor and a Distinguished Professor of Mathematics at Texas A&M University. DeVore is a member of the American Academy of Arts and Sciences and the National Academy of Sciences and a fellow of the American Mathematical Society.

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Ronald DeVore's Published Works

Number of citations in a given year to any of this author's works

Total number of citations to an author for the works they published in a given year. This highlights publication of the most important work(s) by the author

Published Works

A Simple Proof of the Restricted Isometry Property for Random Matrices (2008) (2442)
Constructive Approximation (1993) (2151)
Iteratively reweighted least squares minimization for sparse recovery (2008) (1246)
Image compression through wavelet transform coding (1992) (1136)
Compressed sensing and best k-term approximation (2008) (1043)
Nonlinear approximation (1998) (1016)
Nonlinear approximation (1998) (1016)
Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage (1998) (832)
Deterministic constructions of compressed sensing matrices (2007) (592)
Adaptive Finite Element Methods with convergence rates (2004) (570)
Some remarks on greedy algorithms (1996) (547)
Adaptive wavelet methods for elliptic operator equations: Convergence rates (2001) (512)
Data Compression and Harmonic Analysis (1998) (468)
Convergence Rates for Greedy Algorithms in Reduced Basis Methods (2010) (436)
Compression of wavelet decompositions (1992) (400)
The Structure of Finitely Generated Shift-Invariant Spaces in (1992) (392)
Convergence Rates of Best N-term Galerkin Approximations for a Class of Elliptic sPDEs (2010) (341)
Approximation from shift-invariant subspaces of ₂(^{}) (1994) (321)
Interpolation of Besov-Spaces (1988) (317)
Adaptive Wavelet Methods II—Beyond the Elliptic Case (2002) (306)
Approximation from Shift-Invariant Subspaces of L 2 (ℝ d ) (1994) (301)
Approximation and learning by greedy algorithms (2008) (281)
On the construction of multivariate (pre)wavelets (1993) (275)
The Approximation of Continuous Functions by Positive Linear Operators (1972) (259)
ANALYTIC REGULARITY AND POLYNOMIAL APPROXIMATION OF PARAMETRIC AND STOCHASTIC ELLIPTIC PDE'S (2011) (257)
Optimal nonlinear approximation (1989) (220)
Approximation of high-dimensional parametric PDEs * (2015) (215)
Nonlinear Approximation and the Space BV(R2) (1999) (208)
Approximating a bandlimited function using very coarsely quantized data: A family of stable sigma-delta modulators of arbitrary order (2003) (191)
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDEs (2010) (186)
Tree Approximation and Optimal Encoding (2001) (184)
Maximal functions measuring smoothness (1984) (183)
Weak-L ∞ and BMO (1981) (183)
Harmonic analysis of the space BV. (2003) (174)
Hyperbolic Wavelet Approximation (1998) (152)
Besov regularity for elliptic boundary value problems (1997) (148)
Fast wavelet techniques for near-optimal image processing (1992) (146)
Greedy Algorithms for Reduced Bases in Banach Spaces (2012) (142)
BESOV SPACES ON DOMAINS IN Rd (1993) (141)
Approximation by smooth multivariate splines (1983) (135)
Nonlinear Approximation and (Deep) ReLU Networks (2019) (126)
Fast computation in adaptive tree approximation (2004) (116)
Adaptive Wavelet Schemes for Nonlinear Variational Problems (2003) (109)
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs (2011) (108)
Nonlinear Approximation by Trigonometric Sums (1995) (99)
Iteratively Re-weighted Least Squares minimization: Proof of faster than linear rate for sparse recovery (2008) (97)
Restricted Nonlinear Approximation (2000) (95)
Universal Algorithms for Learning Theory Part I : Piecewise Constant Functions (2005) (93)
Maximal Spaces with Given Rate of Convergence for Thresholding Algorithms (2001) (91)
Instance-optimality in probability with an ℓ1-minimization decoder (2009) (89)
Compressed Sensing and Electron Microscopy (2010) (88)
The Johnson-Lindenstrauss Lemma Meets Compressed Sensing (2006) (86)
Approximation Classes for Adaptive Methods (2002) (81)
Nonlinear Approximation and Adaptive Techniques for Solving Elliptic Operator Equations (1997) (80)
Approximation Methods for Supervised Learning (2006) (79)
Interpolation spaces and non-linear approximation (1988) (77)
Neural network approximation (2020) (75)
Multiscale decompositions on bounded domains (2000) (75)
Approximation of Functions of Few Variables in High Dimensions (2011) (73)
Data Assimilation in Reduced Modeling (2015) (73)
Capturing Ridge Functions in High Dimensions from Point Queries (2012) (71)
Kolmogorov widths under holomorphic mappings (2015) (71)
Sparse polynomial approximation of parametric elliptic PDEs. Part II: lognormal coefficients (2015) (69)
A/D conversion with imperfect quantizers (2006) (68)
Interpolation of linear operators on Sobolev spaces (1979) (67)
Review: Hans Triebel, Interpolation theory, function spaces, differential operators (1980) (67)
Approximation Orders of FSI Spaces in L2(Rd) (1998) (65)
Weak interpolation in Banach spaces (1979) (62)
Pointwise estimates for monotone polynomial approximation (1985) (61)
Nonlinear Approximation and the Space BV � (60)
Approximation Orders of FSI Spaces in L2(Rd) (1998) (60)
Wavelet compression and nonlinearn-widths (1993) (58)
Sparse Evaluation of Compositions of Functions Using Multiscale Expansions (2003) (54)
Wavelets in Numerical Analysis (2005) (53)
One-Sided Approximation of Functions (1968) (51)
Besov spaces on domains in (1993) (50)
Surface compression (1992) (50)
Vision-based control of micro-air-vehicles: progress and problems in estimation (2004) (49)
Degree of Adaptive Approximation (1990) (49)
Multiscale, Nonlinear and Adaptive Approximation (2009) (46)
Tensor-Sparsity of Solutions to High-Dimensional Elliptic Partial Differential Equations (2014) (45)
The Structure of Nitely Generated Shift-invariant Spaces in L 2 (ir D ) (1992) (43)
Approximation of High-Dimensional Rank One Tensors (2014) (43)
The averaging lemma (2000) (43)
Approximation using scattered shifts of a multivariate function (2008) (42)
Adaptive Finite Element Methods for Elliptic Problems with Discontinuous Coefficients (2013) (41)
Polynomial approximation inLp (0 (1992) (41)
Convergence Rates of AFEM with H−1 Data (2012) (38)
Orthogonal Matching Pursuit Under the Restricted Isometry Property (2015) (38)
Error Bounds for Gaussian Quadrature and Weighted-$L^1$ Polynomial Approximation (1984) (37)
Universal Algorithms for Learning Theory. Part II: Piecewise Polynomial Functions (2007) (36)
High order regularity for conservation laws (1990) (36)
Near Best Tree Approximation (2002) (35)
Free multivariate splines (1987) (34)
Classification algorithms using adaptive partitioning (2014) (34)
Effect of wavelet bases on compressing digital mammograms (1995) (33)
Mathematical Methods for Supervised Learning (2005) (32)
Instance optimal decoding by thresholding in compressed sensing (2008) (32)
Partitions of Unity and Approximation (1985) (31)
Quantitative Korovkin theorems for positive linear operators on _{}-spaces (1978) (31)
Adaptive Wavelet Techniques in Numerical Simulation (2004) (31)
Nonlinear Wavelet Approximation in the Space C(Rd) (1992) (27)
Error analysis for piecewise quadratic curve fitting algorithms (1986) (27)
Reduced Basis Greedy Selection Using Random Training Sets (2018) (26)
Nonlinear Approximation in Finite-Dimensional Spaces (1997) (26)
Data compression using wavelets: error, smoothness and quantization (1991) (25)
Tree approximation of the long wave radiation parameterization in the NCAR CAM global climate model (2011) (23)
Data assimilation and sampling in Banach spaces (2016) (22)
Best Basis Selection for Approximation in Lp (2003) (22)
Optimal Reduced Model Algorithms for Data-Based State Estimation (2019) (22)
A geometric proof of total positivity for spline interpolation (1985) (21)
Convex Optimization on Banach Spaces (2014) (21)
Diffusion Coefficients Estimation for Elliptic Partial Differential Equations (2016) (21)
Nonlinear Approximation and (Deep) $$\mathrm {ReLU}$$ ReLU Networks (2021) (21)
The Theoretical Foundation of Reduced Basis Methods (2014) (20)
Optimal Stable Nonlinear Approximation (2020) (20)
Nonlinear approximation and its applications (2009) (19)
Convex polynomial and spline approximation inLp, O (1996) (19)
ON POLYNOMIALS OF BEST ONE SIDED APPROXIMATION (2008) (19)
Optimal computation (2006) (19)
The electrically small magnetically loaded multiturn loop antenna (1977) (19)
Adaptive Approximation of Curves (2004) (18)
VARIABLE KNOT, VARIABLE DEGREE SPLINE APPROXIMATION TO Xβ (1980) (17)
Computing a Quantity of Interest from Observational Data (2018) (15)
Greedy wavelet projections are bounded on BV (2006) (15)
Polynomial Approximation of Anisotropic Analytic Functions of Several Variables (2019) (15)
Classifying the smoothness of images: theory and applications to wavelet image processing (1994) (15)
Strongly and Weakly Non-Poised H-B Interpolation Problems (1973) (14)
Error Estimates for Gaussian Quadrature and Weighted-L1 Polynomial Approximation. (1984) (13)
Multiscale, Nonlinear and Adaptive Approximation: Dedicated to Wolfgang Dahmen on the Occasion of his 60th Birthday (2009) (13)
On the Differentiability of Functions in RN (1984) (12)
Approximation of Monotone Functions: a Counter Example (1997) (12)
A Property of Chebyshev Polynomials (1974) (11)
Saturation and Inverse Theorems for Spline Approximation (1973) (11)
A proof of Jackson's theorem (1969) (11)
On the size and smoothness of solutions to nonlinear hyperbolic conservation laws (1996) (11)
LP Approximation by Reciprocals of Trigonometric and Algebraic Polynomials (1990) (10)
Nonlinear Methods for Model Reduction (2020) (10)
High order regularity for solutions of the inviscid burgers equation (1989) (10)
Processing Terrain Point Cloud Data (2013) (9)
Multiscale Characterizations of Besov Spaces on Bounded Domains (1998) (9)
Simulation of stochastic processes and applications (2001) (9)
Newton's method and some complexity aspects of the zero-finding problem (2001) (9)
Adaptive wavelet bases for image compression (1994) (9)
Saturation of positive convolution operators (1970) (9)
K-functionals for Besov spaces (1991) (8)
On Jackson's theorem (1968) (8)
Wavelet compression and segmentation of digital mammograms (1994) (8)
Shorter Notes: On the Differentiability of Functions in R n (1984) (8)
Chapter 3: The Theoretical Foundation of Reduced Basis Methods (2017) (8)
A constructive theory for approximation by splines with an arbitrary sequence of knot sets (1976) (8)
n-Widths for p α Spaces (1984) (7)
Recovery of an initial temperature from discrete sampling (2014) (7)
Data Assimilation in Banach spaces (2016) (6)
Fundamental approximation properties of positive linear operators (1972) (6)
ON THE STABILITY OF NONLINEAR CONSERVATION LAWS IN THE HAUSDORFF METRIC (2005) (6)
Optimal Entropy Encoders For Mining MultiplyResolved Data (2000) (6)
Multivariate rational approximation (1986) (6)
Finding the Minimum of a Function (2013) (5)
The degree of approximation by Chebyshevian splines (1973) (5)
RECOVERY OF FUNCTIONS OF MANY VARIABLES VIA COMPRESSIVE SENSING (2011) (5)
A proof of Borsuk's theorem (1988) (5)
On monotone extensions of boundary data (1991) (5)
Degree of Monotone Approximation (1974) (5)
A taste of compressed sensing (2007) (5)
Neural Network Approximation of Refinable Functions (2021) (5)
Approximation from Shift-Invariant Subspaces of L sup 2 (R sup d) (1991) (4)
Universal Piecewise Polynomial Estimators for Machine Learning (2006) (4)
Convex polynomial approximation in L p (0< p <1) (1993) (4)
Data compression and harmonic analysis (invited paper) (2000) (3)
Mixed norm $n$-widths (1980) (3)
Saturation theorems for discretized linear operators (1975) (3)
Approximation by Rational Functions (1986) (3)
Model Classes, Approximation, and Metrics for Dynamic Processing of Urban Terrain Data (2013) (3)
Using nonlinear wavelet compression to enhance image registration (1997) (3)
Approximation of High-Dimensional Rank One Tensors (2013) (3)
Weak-Ly and BMO (1981) (2)
RESTRICTED NONLINEAR APPROXIMATION 1 (1997) (2)
Editorial (1983) (2)
Approximation by Smooth Multivariate Splines Author ( s ) : (1983) (2)
Inverse Theorems for Approximation by Positive Linear Operators (1973) (2)
Lp [-1, 1] Approximation by Algebraic Polynomials (1978) (2)
Quantitative Approximation: Proceedings of a Symposium on Quantitative Approximation Held in Bonn, West Germany, August 20-24, 1979 (2014) (1)
Foundations of computational mathematics: Minneapolis, 2002 (2004) (1)
Numerical analysis in Lie groups (2001) (1)
The Theoretical Foundation of Reduced Basis Methods (Preprint) (2016) (1)
Motion estimation with the redundant wavelet transform (2002) (1)
Tree Approximation and Optimal Encoding 1 (1999) (1)
Freud's work in constructive function theory (1986) (1)
On a saturation theorem of Tureckii (1971) (1)
Polynomial Approximation in Lt, (0 < p < 1) (1992) (1)
The Averaging Lemma (Preprint) (1999) (1)
Wavelets and Approximation (2005) (1)
Foundations of Computational Mathematics: Minneapolis, 2002: Preface (2004) (1)
ON THE DIRECT THEOREM OF SATURATION (1971) (1)
Anisotropic smoothness spaces via level sets (2008) (1)
Theorems of Weierstrass (1993) (1)
Approximation of classes of functions (1972) (1)
Wavelets (1992) (1)
Course Notes Bilbao 2013 Numerical Methods in High Dimensions Lecture 4: Stochastic and Parametric Equations (2013) (0)
On the Diffe rentiability of Functions in RN (1984) (0)
Central Theorems of Approximation (1993) (0)
Spline Interpolation and Projections onto Spline Spaces (1993) (0)
The K functional for (H1, BMO) (1984) (0)
Properties of Polynomials (1993) (0)
Inverse Parameter Estimation (2017) (0)
Harmonic map flows and image processing (2001) (0)
Course Notes ( Paris 2009 ) (2009) (0)
Constructive Approximation: Advanced Problems (1993) (0)
Maple Packages and Java Applets (2004) (0)
of 12-1-1986 Approximation by Rational Functions (2013) (0)
Capturing Ridge Functions in High Dimensions from Point Queries (2011) (0)
Saturation of convolution operators (1972) (0)
USING WAVELETS : ERROR , SMOOTHNESS , AND QUANTIZATION * Extended (0)
Optimal Decoding by Thresholding in Compressed Sensing (2008) (0)
A CFL-Free Explicit Scheme with Compression for Linear Hyperbolic Equations (2000) (0)
Goals and Progress of the LWS Focused Science Topic on the CME--ICME Connection (2006) (0)
Smoothness spaces and wavelet decomposition (1992) (0)
1 Lecture 3: Capturing Functions in High Dimensions (2009) (0)
Highly Nonlinear Algorithms for Wavelet Based Image Processing With Military Applications (2001) (0)
Mathematical Analysis for Data and Image Processing (2005) (0)
Algebraic polynomial operators (1972) (0)
PAGE ( SF 298 ) ( Continuation Sheet ) (2013) (0)
Feature Extraction in Digital Mammography 1 (2017) (0)
A Pointwise “o” Saturation Theorem for Positive Convolution Operators (1972) (0)
of 1-1-1986 Multivariate Rational Approximation (2013) (0)
Trigonometric polynomial operators (1972) (0)
Greedy Wavelet Proje tions are Bounded on BV (2019) (0)
Wavelet and Multiscale Methods (2004) (0)
The role of approximation and smoothness spaces in compression and noise removal (1994) (0)
Saturation in C[a,b] (1972) (0)
Nonlinear Approximation by Deep ReLU Neural Networks (2019) (0)
CA Special Issue on Neural Network Approximation (2021) (0)
Spaces of Functions (1993) (0)
K-Functionals and Interpolation Spaces (1993) (0)
Thanks to a work of G . Kerkyacharian , D . Picard and V . N . Temlyakov ( [ 12 ] ) motivated by the work of (2019) (0)
Polynomial Approximation of Anisotropic Analytic Functions of Several Variables (2020) (0)
Course Notes Bilbao 2013 Numerical Methods in High Dimensions Lecture 3: Capturing Functions from Point Queries (2013) (0)
Foundations of Computational Mathematics: Minneapolis, 2002: Some Fundamental Issues (2004) (0)
Minimum moduli of differential operators from the viewpoint of approximation theory (1975) (0)
ADAPTIVE WAVELET SCHEMES FOR NONLINEAR (2003) (0)
Course Notes Bilbao 2013 Numerical Methods in High Dimensions Lecture 1: The Role of Approximation Theory (2013) (0)
Course Notes Bilbao 2013 Numerical Methods in High Dimensions Lecture 2: Compressed Sensing (2013) (0)
Real-time numerical solution to Duncan-Mortensen-Zakai equation (2001) (0)
Advanced Wavelet Methods for Image and Signal Processing (2003) (0)
Greedy Wavelet Projections are Bounded on BV (Preprint) (2003) (0)
Each f ? ? ? BV has a unique wavelet expansion ? ? ? ? ? ? ? c ? ? ( f ) ? ? ? ? (0)
Imaging and Modeling in Electron Microscopy - Recent Advances (14w5048) (2014) (0)
Adaptive numerical methods for PDEs 1 (2002) (0)
Heat-flow monotonicity related to some norm inequalities in analysis (2008) (0)
Applications of the Phi-Transform (1993) (0)
REVIEWS AND DESCRIPTIONS OF TABLES AND BOOKS (1990) (0)
Invited Lecturers (2006) (0)
Advanced Mathematical Methods for Processing Large Data Sets (2008) (0)
Approximation of Classes of Functions, Müntz Theorems (1993) (0)
1 Lecture 4 : Capturing Functions in Infinite Dimensions (2009) (0)
Influence of Endpoints in Polynomial Approximation (1993) (0)
N A ] 1 F eb 2 02 0 State Estimation-The Role of Reduced Models (2020) (0)
Approximation by Operators (1993) (0)
Prologue to Sparsity Issue (2008) (0)
Diffusion Coefficients Estimation for Elliptic Equations (2017) (0)
Mathematisches Forschungsinstitut Oberwolfach Wavelet and Multiscale Methods Workshop: Wavelet and Multiscale Methods Table of Contents Ingrid Daubechies (joint with Cynthia Rudin and Rob Schapire) Combining Multiresolution Technique with a Semi–implicit Scheme for Endre Süli (joint with Abstracts A (2006) (0)
Saturation theorems for diseretized linear operators (2005) (0)
Greedy Wavelet Projections are Bounded on BV ∗ Pawe l Bechler , (2004) (0)
Introduction: Wolfgang Dahmen’s mathematical work (2009) (0)
Mathematisches Forschungsinstitut Oberwolfach Report No . 34 / 2004 Wavelet and Multiscale Methods (2007) (0)
The N-Width of BV ∩ Lip α (1984) (0)
FOUNDATIONS OF COMPUTATIONAL MATHEMATICS Best Basis Selection for Approximation in L p (2003) (0)
A theory of one-sided approximation in L₁[a,b] / (1967) (0)

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