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DeVore, Ronald A.

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Author ID: devore.ronald-a Recent zbMATH articles by "DeVore, Ronald A."
Published as: De Vore, R.; De Vore, R. A.; De Vore, Ronald; De Vore, Ronald A.; DeVore, R.; DeVore, R. A.; DeVore, Ronald; DeVore, Ronald A.; DeVore, Ronald R.; Devore, R.; Devore, R. A.; Devore, Ronald; Devore, Ronald A.; de Vore, R. A.; de Vore, Ronald A.
External Links: MGP · Wikidata · GND
Documents Indexed: 177 Publications since 1966, including 7 Books
all top 5

Co-Authors

36 single-authored
39 Cohen, Albert
31 Dahmen, Wolfgang A.
15 Petrova, Guergana
10 de Boor, Carl
10 Wojtaszczyk, Przemyslaw
9 Binev, Peter G.
9 Temlyakov, Vladimir Nikolaevich
9 Yu, Xiangming
8 Lucier, Bradley J.
7 Daubechies, Ingrid Chantal
7 Kunoth, Angela
7 Sharpley, Robert C.
6 Leviatan, Dany
6 Ron, Amos
5 Petrushev, Pencho P.
5 Popov, Vasil Atanasov
5 Scherer, Karl
3 Berens, Hubert Anton
3 Bonito, Andrea
3 Jawerth, Björn David
3 Kerkyacharian, Gérard
3 Kyriazis, George C.
3 Picard, Dominique B.
3 Schwab, Christoph
3 Süli, Endre E.
2 Bachmayr, Markus
2 Baraniuk, Richard G.
2 Bennett, Colin
2 Bojanic, Ranko
2 Grasedyck, Lars
2 Güntürk, Cemalettin Sinan
2 Höllig, Klaus H.
2 Lorentz, Georg Gunther
2 Micchelli, Charles A.
2 Nochetto, Ricardo Horacio
2 Richards, F. S. G.
2 Riemenschneider, Sherman D.
2 Xu, Hong
1 Barron, Andrew Roger
1 Bechler, Paweł
1 Campos Pinto, Martin
1 Chambolle, Antonin
1 Chkifa, Abdellah
1 Clack, Billy
1 Cucker, Felipe
1 Dahlke, Stephan
1 Davenport, Mark A.
1 Donoho, David Leigh
1 Elad, Michael
1 Fadili, Jalal M.
1 Fornasier, Massimo
1 Foucart, Simon
1 Gilbert, Anna C.
1 Guignard, Diane
1 Hielsberg, Matthew
1 Hochmuth, Reinhard
1 Howard, Ralph E.
1 Hu, Yingkang
1 Iserles, Arieh
1 Jantsch, Peter
1 Kamont, Anna
1 Kierstead, Henry A.
1 Konyagin, Sergeĭ Vladimirovich
1 Lee, Namyong
1 Liu, Jiangguo
1 Meir, Amram
1 Migliorati, Giovanni
1 Mula, Olga
1 Nichols, James A.
1 Nichols, James D.
1 Olver, Peter John
1 Oskolkov, Konstantin Ilyich
1 Owens, Luke
1 Scott, Larkin Ridgway
1 Sharma, Ambikeshwar
1 Shevchuk, Igor A.
1 Sood, Alok
1 Szabados, Jozsef
1 Tikhomirov, Vladimir Mikhaĭlovich
1 Vaishampayan, Vinay Anant
1 Vetterli, Martin
1 Wakin, Michael B.
1 Wang, Hong
1 Wang, Putong
1 Welper, Gerrit
1 Yan, Zheng
1 Yang, Ziliang
1 Zuazua, Enrique
all top 5

Serials

18 Constructive Approximation
10 Transactions of the American Mathematical Society
8 Journal of Approximation Theory
7 Foundations of Computational Mathematics
6 SIAM Journal on Mathematical Analysis
5 SIAM Journal on Numerical Analysis
5 Oberwolfach Reports
4 Proceedings of the American Mathematical Society
3 IEEE Transactions on Information Theory
3 Mathematics of Computation
3 Numerische Mathematik
3 Applied and Computational Harmonic Analysis
3 Advances in Computational Mathematics
3 Annals of Mathematics. Second Series
3 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
2 Communications on Pure and Applied Mathematics
2 American Journal of Mathematics
2 The Annals of Statistics
2 Journal of Functional Analysis
2 Tohoku Mathematical Journal. Second Series
2 Computer Aided Geometric Design
2 Journal of Complexity
2 Journal of the American Mathematical Society
2 L’Enseignement Mathématique. 2e Série
2 The Journal of Fourier Analysis and Applications
2 London Mathematical Society Lecture Note Series
1 Analysis Mathematica
1 IMA Journal of Numerical Analysis
1 Mathematical Notes
1 Calcolo
1 Canadian Journal of Mathematics
1 Canadian Mathematical Bulletin
1 Indiana University Mathematics Journal
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Studia Scientiarum Mathematicarum Hungarica
1 Approximation Theory and its Applications
1 Revista Matemática Iberoamericana
1 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
1 Communications in Partial Differential Equations
1 Methods and Applications of Analysis
1 Annals of Numerical Mathematics
1 Serdica Mathematical Journal
1 European Series in Applied and Industrial Mathematics (ESAIM): Proceedings
1 IEEE Transactions on Image Processing
1 Journal of Machine Learning Research (JMLR)
1 Analysis and Applications (Singapore)
1 Journal of Hyperbolic Differential Equations
1 Acta Numerica
1 Bulletin of the American Mathematical Society
1 Grundlehren der Mathematischen Wissenschaften
1 Lecture Notes in Mathematics
1 SIAM Journal on Imaging Sciences
1 SIAM/ASA Journal on Uncertainty Quantification

Publications by Year

Citations contained in zbMATH Open

151 Publications have been cited 5,421 times in 3,820 Documents Cited by Year
Constructive approximation. Zbl 0797.41016
DeVore, Ronald A.; Lorentz, George G.
947
1993
Nonlinear approximation. Zbl 0931.65007
DeVore, Ronald A.
257
1998
A simple proof of the restricted isometry property for random matrices. Zbl 1177.15015
Baraniuk, Richard; Davenport, Mark; DeVore, Ronald; Wakin, Michael
190
2008
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
189
2004
The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\). Zbl 0806.46030
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
168
1994
Adaptive wavelet methods for elliptic operator equations: convergence rates. Zbl 0980.65130
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
161
2001
Compressed sensing and best \(k\)-term approximation. Zbl 1206.94008
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
148
2009
Approximation from shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
139
1994
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
124
2011
Compression of wavelet decompositions. Zbl 0764.41024
DeVore, Ronald A.; Jawerth, Björn; Popov, Vasil
120
1992
The approximation of continuous functions by positive linear operators. Zbl 0276.41011
DeVore, Ronald A.
120
1972
Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046
Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan
118
2010
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
116
2010
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
111
1993
Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage. Zbl 0993.94507
Chambolle, Antonin; DeVore, Ronald A.; Lee, Nam-yong; Lucier, Bradley J.
100
1998
Maximal functions measuring smoothness. Zbl 0529.42005
DeVore, Ronald A.; Sharpley, Robert C.
100
1984
Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
97
2011
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
97
1996
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
89
2002
Interpolation of Besov spaces. Zbl 0646.46030
Devore, Ronald A.; Popov, Vasil A.
87
1988
Weak-\(L^\infty\) and BMO. Zbl 0465.42015
Bennett, Colin; DeVore, Ronald A.; Sharpley, Robert
76
1981
Image compression through wavelet transform coding. Zbl 0754.68118
DeVore, Ronald A.; Jawerth, Björn; Lucier, Bradley J.
69
1992
Deterministic constructions of compressed sensing matrices. Zbl 1134.94312
DeVore, Ronald A.
58
2007
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
54
2015
Approximation by smooth multivariate splines. Zbl 0529.41010
de Boor, C.; DeVore, R.
49
1983
Besov spaces on domains in \({\mathbb{R}{}}^ d\). Zbl 0766.46015
Devore, Ronald A.; Sharpley, Robert C.
46
1993
Besov regularity for elliptic boundary value problems. Zbl 0883.35018
Dahlke, Stephan; DeVore, Ronald A.
44
1997
Approximation and learning by greedy algorithms. Zbl 1138.62019
Barron, Andrew R.; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.
43
2008
Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order. Zbl 1058.94004
Daubechies, Ingrid; DeVore, Ronald
43
2003
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
42
2003
Nonlinear approximation and the space \(BV(\mathbb{R}^2)\). Zbl 0931.41019
Cohen, Albert; DeVore, Ronald; Petrushev, Pencho; Xu, Hong
42
1999
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
40
2001
Hyperbolic wavelet approximation. Zbl 0895.41016
De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N.
38
1998
Fast computation in adaptive tree approximation. Zbl 1075.65158
Binev, Peter; DeVore, Ronald
37
2004
Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
36
2013
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
36
1998
Multi-dimensional spline approximation. Zbl 0437.41010
Dahmen, W.; De Vore, R.; Scherer, K.
35
1980
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
33
2013
Restricted nonlinear approximation. Zbl 0947.41006
Cohen, A.; DeVore, R. A.; Hochmuth, R.
33
2000
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
32
2006
Optimal nonlinear approximation. Zbl 0682.41033
De Vore, Ronald A.; Howard, Ralph; Micchelli, Charles
32
1989
Adaptive wavelet schemes for nonlinear variational problems. Zbl 1057.65031
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
31
2003
Nonlinear approximation by trigonometric sums. Zbl 0886.42019
DeVore, R. A.; Temlyakov, V. N.
31
1995
Weak interpolation in Banach spaces. Zbl 0433.46062
DeVore, Ronald A.; Riemenschneider, Sherman D.; Sharpley, Robert C.
31
1979
Maximal spaces with given rate of convergence for thresholding algorithms. Zbl 0997.62025
Cohen, Albert; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
28
2001
Interpolation of linear operators on Sobolev spaces. Zbl 0422.46028
DeVore, R.; Scherer, K.
27
1979
Pointwise estimates for monotone polynomial approximation. Zbl 0583.41006
DeVore, Ronald A.; Yu, Xiang Ming
26
1985
Monotone approximation by polynomials. Zbl 0368.41002
de Vore, Ronald A.
26
1977
On polynomials of best one sided approximation. Zbl 0152.25601
Bojanic, R.; De Vore, R.
26
1966
Pointwise approximation by polynomials and splines. Zbl 0512.41002
Devore, R. A.
24
1977
Multiscale decompositions on bounded domains. Zbl 0945.42018
Cohen, A.; Dahmen, W.; DeVore, R.
23
2000
Approximation classes for adaptive methods. Zbl 1039.42030
Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P.
20
2002
Error bounds for Gaussian quadrature and weighted-\(L^ 1\) polynomial approximation. Zbl 0565.41028
DeVore, Ronald A.; Scott, L. Ridgway
20
1984
Data assimilation in reduced modeling. Zbl 06736493
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
19
2017
Sparse polynomial approximation of parametric elliptic PDEs. II: Lognormal coefficients. Zbl 1366.41005
Bachmayr, Markus; Cohen, Albert; DeVore, Ronald; Migliorati, Giovanni
18
2017
The averaging lemma. Zbl 1001.35079
DeVore, Ronald; Petrova, Guergana
18
2001
Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N.
17
2005
Polynomial approximation in \(L_ p (O<p<1)\). Zbl 0753.41006
DeVore, Ronald A.; Leviatan, Dany; Yu, Xiang Ming
17
1992
Interpolation spaces and nonlinear approximation. Zbl 0652.46054
DeVore, R. A.; Popov, V. A.
17
1988
One-sided approximation of functions. Zbl 0195.07202
DeVore, Ronald
17
1968
Sparse evaluation of compositions of functions using multiscale expansions. Zbl 1054.42024
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
16
2003
Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145
DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M.
16
1993
Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286
Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
15
2012
Approximation using scattered shifts of a multivariate function. Zbl 1215.41004
DeVore, Ronald; Ron, Amos
15
2010
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0919.41009
de Boor, C.; DeVore, R. A.; Ron, A.
15
1998
Quantitative Korovkin theorems for positive linear operators on \(L_p\)- spaces. Zbl 0397.41010
Berens, H.; De Vore, R.
15
1978
Optimal convergence of positive linear operators. Zbl 0252.41017
De Vore, R.
15
1972
Tensor-sparsity of solutions to high-dimensional elliptic partial differential equations. Zbl 1365.65243
Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars; Süli, Endre
14
2016
Approximation of functions of few variables in high dimensions. Zbl 1210.41009
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
14
2011
A/D conversion with imperfect quantizers. Zbl 1231.94036
Daubechies, Ingrid; DeVore, Ronald A.; Güntürk, C. Sinan; Vaishampayan, Vinay A.
14
2006
Degree of adaptive approximation. Zbl 0723.41015
DeVore, Ronald A.; Yu, Xiang Ming
14
1990
Convergence rates of AFEM with \(H^{-1}\) data. Zbl 1416.65440
Cohen, Albert; DeVore, Ronald; Nochetto, Ricardo H.
13
2012
Instance-optimality in probability with an \(\ell _1\)-minimization decoder. Zbl 1177.94104
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
13
2009
Monotone approximation by splines. Zbl 0368.41006
de Vore, Ronald A.
13
1977
Adaptive finite element methods for elliptic problems with discontinuous coefficients. Zbl 1285.65078
Bonito, Andrea; Devore, Ronald A.; Nochetto, Ricardo H.
12
2013
Nonlinear wavelet approximation in the space \(C(\mathbf R^ d)\). Zbl 0802.42027
DeVore, R. A.; Petrushev, P.; Yu, X. M.
12
1992
Error analysis for piecewise quadratic curve fitting algorithms. Zbl 0614.65008
DeVore, Ronald A.; Yan, Zheng
12
1986
A geometric proof of total positivity for spline interpolation. Zbl 0599.41021
de Boor, C.; DeVore, R.
12
1985
Partitions of unity and approximation. Zbl 0547.41007
de Boor, Carl; DeVore, Ronald R.
12
1985
Approximation by feed-forward neural networks. Zbl 0884.41012
DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P.
11
1997
Kolmogorov widths under holomorphic mappings. Zbl 1336.41010
Cohen, Albert; De Vore, Ronald
10
2016
Approximation of high-dimensional rank one tensors. Zbl 1308.41015
Bachmayr, Markus; Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars
10
2014
Wavelets. Zbl 0766.65009
DeVore, Ronald A.; Lucier, Bradley J.
10
1992
High order regularity for conservation laws. Zbl 0714.35018
DeVore, Ronald A.; Lucier, Bradley J.
10
1990
On the differentiability of functions in \(R^ n\). Zbl 0572.46024
Devore, R. A.; Sharpley, R. C.
10
1984
Quantitative Korovkin theorems for \(L_p\)-spaces. Zbl 0345.41013
Berens, H.; DeVore, R. A.
10
1976
Data assimilation and sampling in Banach spaces. Zbl 1393.46017
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
9
2017
Universal algorithms for learning theory. II: Piecewise polynomial functions. Zbl 1191.62067
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
9
2007
Best basis selection for approximation in \(L_p\). Zbl 1067.41012
DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir
9
2003
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0948.41012
de Boor, C.; DeVore, R. A.; Ron, A.
9
1998
Surface compression. Zbl 0758.65005
DeVore, Ronald A.; Jawerth, Björn; Lucier, Bradley J.
9
1992
A characterization of Bernstein polynomials. Zbl 0483.41016
Berens, H.; DeVore, R.
9
1980
Strongly and weakly non-poised H-B interpolation problems. Zbl 0278.41003
DeVore, R.; Meir, A.; Sharma, A.
9
1973
Orthogonal matching pursuit under the restricted isometry property. Zbl 1379.94014
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
8
2017
Nonlinear approximation in finite-dimensional spaces. Zbl 0892.41009
DeVore, R. A.; Temlyakov, V. N.
8
1997
Degree of approximation. Zbl 0343.41017
DeVore, Ronald A.
8
1976
Multipliers of uniform convergence. Zbl 0179.36702
DeVore, Ronald
8
1968
Variable knot, variable degree spline approximation to \(X^\beta\). Zbl 0487.41010
DeVore, R.; Scherer, K.
7
1980
Convex optimization on Banach spaces. Zbl 1347.41032
DeVore, R. A.; Temlyakov, V. N.
6
2016
Optimal computation. Zbl 1126.65013
DeVore, Ronald A.
6
2007
Reduced basis greedy selection using random training sets. Zbl 1444.62113
Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald; Nichols, James
1
2020
Computing a quantity of interest from observational data. Zbl 1414.41019
DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw
4
2019
Data assimilation in reduced modeling. Zbl 06736493
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
19
2017
Sparse polynomial approximation of parametric elliptic PDEs. II: Lognormal coefficients. Zbl 1366.41005
Bachmayr, Markus; Cohen, Albert; DeVore, Ronald; Migliorati, Giovanni
18
2017
Data assimilation and sampling in Banach spaces. Zbl 1393.46017
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
9
2017
Orthogonal matching pursuit under the restricted isometry property. Zbl 1379.94014
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
8
2017
Diffusion coefficients estimation for elliptic partial differential equations. Zbl 1371.35340
Bonito, Andrea; Cohen, Albert; DeVore, Ronald; Petrova, Guergana; Welper, Gerrit
3
2017
Tensor-sparsity of solutions to high-dimensional elliptic partial differential equations. Zbl 1365.65243
Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars; Süli, Endre
14
2016
Kolmogorov widths under holomorphic mappings. Zbl 1336.41010
Cohen, Albert; De Vore, Ronald
10
2016
Convex optimization on Banach spaces. Zbl 1347.41032
DeVore, R. A.; Temlyakov, V. N.
6
2016
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
54
2015
Approximation of high-dimensional rank one tensors. Zbl 1308.41015
Bachmayr, Markus; Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars
10
2014
Classification algorithms using adaptive partitioning. Zbl 1310.62074
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald
4
2014
Recovery of an initial temperature from discrete sampling. Zbl 1298.35250
DeVore, Ronald; Zuazua, Enrique
1
2014
Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
36
2013
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
33
2013
Adaptive finite element methods for elliptic problems with discontinuous coefficients. Zbl 1285.65078
Bonito, Andrea; Devore, Ronald A.; Nochetto, Ricardo H.
12
2013
Finding the minimum of a function. Zbl 1297.65068
Cohen, Albert; Devore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemysław
2
2013
Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286
Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
15
2012
Convergence rates of AFEM with \(H^{-1}\) data. Zbl 1416.65440
Cohen, Albert; DeVore, Ronald; Nochetto, Ricardo H.
13
2012
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
124
2011
Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
97
2011
Approximation of functions of few variables in high dimensions. Zbl 1210.41009
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
14
2011
Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046
Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan
118
2010
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
116
2010
Approximation using scattered shifts of a multivariate function. Zbl 1215.41004
DeVore, Ronald; Ron, Amos
15
2010
Instance optimal decoding by thresholding in compressed sensing. Zbl 1202.94117
Cohen, Albert; Dahmen, Wolfgang; De Vore, Ronald
2
2010
Compressed sensing and best \(k\)-term approximation. Zbl 1206.94008
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
148
2009
Instance-optimality in probability with an \(\ell _1\)-minimization decoder. Zbl 1177.94104
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
13
2009
Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Zbl 1181.65007
DeVore, Ronald (ed.); Kunoth, Angela (ed.)
4
2009
Nonlinear approximation and its applications. Zbl 1200.41028
De Vore, Ronald A.
2
2009
A simple proof of the restricted isometry property for random matrices. Zbl 1177.15015
Baraniuk, Richard; Davenport, Mark; DeVore, Ronald; Wakin, Michael
190
2008
Approximation and learning by greedy algorithms. Zbl 1138.62019
Barron, Andrew R.; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.
43
2008
Deterministic constructions of compressed sensing matrices. Zbl 1134.94312
DeVore, Ronald A.
58
2007
Universal algorithms for learning theory. II: Piecewise polynomial functions. Zbl 1191.62067
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
9
2007
Optimal computation. Zbl 1126.65013
DeVore, Ronald A.
6
2007
Greedy wavelet projections are bounded on BV. Zbl 1134.42022
Bechler, Paweł; DeVore, Ronald; Kamont, Anna; Petrova, Guergana; Wojtaszczyk, Przemysław
5
2007
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
32
2006
A/D conversion with imperfect quantizers. Zbl 1231.94036
Daubechies, Ingrid; DeVore, Ronald A.; Güntürk, C. Sinan; Vaishampayan, Vinay A.
14
2006
Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N.
17
2005
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
189
2004
Fast computation in adaptive tree approximation. Zbl 1075.65158
Binev, Peter; DeVore, Ronald
37
2004
Approximating a bandlimited function using very coarsely quantized data: a family of stable sigma-delta modulators of arbitrary order. Zbl 1058.94004
Daubechies, Ingrid; DeVore, Ronald
43
2003
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
42
2003
Adaptive wavelet schemes for nonlinear variational problems. Zbl 1057.65031
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
31
2003
Sparse evaluation of compositions of functions using multiscale expansions. Zbl 1054.42024
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
16
2003
Best basis selection for approximation in \(L_p\). Zbl 1067.41012
DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir
9
2003
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
89
2002
Approximation classes for adaptive methods. Zbl 1039.42030
Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P.
20
2002
Near best tree approximation. Zbl 1031.65157
Baraniuk, R. G.; DeVore, R. A.; Kyriazis, G.; Yu, X. M.
4
2002
Adaptive wavelet methods for elliptic operator equations: convergence rates. Zbl 0980.65130
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
161
2001
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
40
2001
Maximal spaces with given rate of convergence for thresholding algorithms. Zbl 0997.62025
Cohen, Albert; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
28
2001
The averaging lemma. Zbl 1001.35079
DeVore, Ronald; Petrova, Guergana
18
2001
Restricted nonlinear approximation. Zbl 0947.41006
Cohen, A.; DeVore, R. A.; Hochmuth, R.
33
2000
Multiscale decompositions on bounded domains. Zbl 0945.42018
Cohen, A.; Dahmen, W.; DeVore, R.
23
2000
Nonlinear approximation and the space \(BV(\mathbb{R}^2)\). Zbl 0931.41019
Cohen, Albert; DeVore, Ronald; Petrushev, Pencho; Xu, Hong
42
1999
Nonlinear approximation. Zbl 0931.65007
DeVore, Ronald A.
257
1998
Nonlinear wavelet image processing: variational problems, compression, and noise removal through wavelet shrinkage. Zbl 0993.94507
Chambolle, Antonin; DeVore, Ronald A.; Lee, Nam-yong; Lucier, Bradley J.
100
1998
Hyperbolic wavelet approximation. Zbl 0895.41016
De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N.
38
1998
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
36
1998
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0919.41009
de Boor, C.; DeVore, R. A.; Ron, A.
15
1998
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0948.41012
de Boor, C.; DeVore, R. A.; Ron, A.
9
1998
Multiscale characterizations of Besov spaces on bounded domains. Zbl 0922.46029
DeVore, R. A.; Kyriazis, G. C.; Wang, P.
4
1998
Besov regularity for elliptic boundary value problems. Zbl 0883.35018
Dahlke, Stephan; DeVore, Ronald A.
44
1997
Approximation by feed-forward neural networks. Zbl 0884.41012
DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P.
11
1997
Nonlinear approximation in finite-dimensional spaces. Zbl 0892.41009
DeVore, R. A.; Temlyakov, V. N.
8
1997
Approximation of monotone functions: A counter example. Zbl 0958.41012
DeVore, R. A.; Leviatan, D.; Shevchuk, I. A.
6
1997
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
97
1996
Convex polynomial and spline approximation in \(L_ p, 0<p<\infty\). Zbl 0854.41008
DeVore, R. A.; Hu, Y. K.; Leviatan, D.
5
1996
Nonlinear approximation by trigonometric sums. Zbl 0886.42019
DeVore, R. A.; Temlyakov, V. N.
31
1995
The structure of finitely generated shift-invariant spaces in \(L_ 2(\mathbb{R}^ d)\). Zbl 0806.46030
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
168
1994
Approximation from shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
139
1994
Multivariate trigonometric polynomial approximations with frequencies from the hyperbolic cross. Zbl 0839.42006
DeVore, R. A.; Petrushev, P. P.; Temlyakov, V. N.
5
1994
Adaptive wavelet bases for image compression. Zbl 0815.68123
DeVore, Ronald A.
1
1994
Constructive approximation. Zbl 0797.41016
DeVore, Ronald A.; Lorentz, George G.
947
1993
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
111
1993
Besov spaces on domains in \({\mathbb{R}{}}^ d\). Zbl 0766.46015
Devore, Ronald A.; Sharpley, Robert C.
46
1993
Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145
DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M.
16
1993
Convex polynomial approximation in \(L_ p\) \((0<p<1)\). Zbl 0783.41003
DeVore, Ronald A.; Leviatan, Dany
2
1993
Compression of wavelet decompositions. Zbl 0764.41024
DeVore, Ronald A.; Jawerth, Björn; Popov, Vasil
120
1992
Image compression through wavelet transform coding. Zbl 0754.68118
DeVore, Ronald A.; Jawerth, Björn; Lucier, Bradley J.
69
1992
Polynomial approximation in \(L_ p (O<p<1)\). Zbl 0753.41006
DeVore, Ronald A.; Leviatan, Dany; Yu, Xiang Ming
17
1992
Nonlinear wavelet approximation in the space \(C(\mathbf R^ d)\). Zbl 0802.42027
DeVore, R. A.; Petrushev, P.; Yu, X. M.
12
1992
Wavelets. Zbl 0766.65009
DeVore, Ronald A.; Lucier, Bradley J.
10
1992
Surface compression. Zbl 0758.65005
DeVore, Ronald A.; Jawerth, Björn; Lucier, Bradley J.
9
1992
On monotone extensions of boundary data. Zbl 0753.65011
Dahmen, Wolfgang; DeVore, Ronald A.; Micchelli, Charles A.
1
1992
\(K\)-functionals for Besov spaces. Zbl 0738.46037
DeVore, Ronald A.; Yu, Xiang Ming
2
1991
Degree of adaptive approximation. Zbl 0723.41015
DeVore, Ronald A.; Yu, Xiang Ming
14
1990
High order regularity for conservation laws. Zbl 0714.35018
DeVore, Ronald A.; Lucier, Bradley J.
10
1990
\(L_ p\) approximation by reciprocals of trigonometric and algebraic polynomials. Zbl 0686.41004
Devore, Ronald A.; Leviatan, D.; Yu, Xiang Ming
5
1990
Optimal nonlinear approximation. Zbl 0682.41033
De Vore, Ronald A.; Howard, Ralph; Micchelli, Charles
32
1989
Degree of nonlinear approximation. Zbl 0705.41022
DeVore, Ronald A.
5
1989
High order regularity for solutions of the inviscid Burgers equation. Zbl 0702.35159
DeVore, Ronald A.; Lucier, Bradley J.
1
1989
Nonlinear n-widths in Besov spaces. Zbl 0737.41026
DeVore, Ronald A.; Yu, Xiang Ming
1
1989
Interpolation of Besov spaces. Zbl 0646.46030
Devore, Ronald A.; Popov, Vasil A.
87
1988
Interpolation spaces and nonlinear approximation. Zbl 0652.46054
DeVore, R. A.; Popov, V. A.
17
1988
Interpolation of approximation spaces. Zbl 0708.46059
DeVore, R. A.; Popov, V. A.
4
1988
A proof of Borsuk’s theorem. Zbl 0654.47044
DeVore, R. A.; Kierstead, H.; Lorentz, G. G.
1
1988
Free multivariate splines. Zbl 0624.41012
DeVore, Ronald A.; Popov, Vasil A.
4
1987
...and 51 more Documents
all top 5

Cited by 4,213 Authors

54 DeVore, Ronald A.
50 Schwab, Christoph
40 Dahmen, Wolfgang A.
38 Cohen, Albert
37 Temlyakov, Vladimir Nikolaevich
35 Dahlke, Stephan
32 Gupta, Vijay
32 Stevenson, Rob P.
28 Leviatan, Dany
26 Carstensen, Carsten
24 Mhaskar, Hrushikesh N.
24 Praetorius, Dirk
22 Shen, Zuowei
21 Schneider, Reinhold
20 Ron, Amos
20 Tikhonov, Sergey Yur’evich
19 Dinh Dũng
19 Nobile, Fabio
18 Griebel, Michael
18 Rauhut, Holger
18 Sablonnière, Paul
17 Ditzian, Zeev
17 Fornasier, Massimo
17 Li, Song
17 Nielsen, Morten
16 Petrova, Guergana
16 Sickel, Winfried
15 Agrawal, Purshottam Narain
15 Chui, Charles Kam-tai
15 Jia, Rong-Qing
15 Sbibih, Driss
14 Bownik, Marcin
14 Cabrelli, Carlos A.
14 Kopotun, Kirill A.
14 Sun, Qiyu
13 Anastassiou, George Angelos
13 Canuto, Claudio
13 Hernandez, Eugenio
13 Lim, Jae Kun
13 Milman, Mario Marcos
13 Mishra, Vishnu Narayan
13 Petrushev, Pencho P.
13 Tempone, Raúl F.
13 Vybíral, Jan
13 Wojtaszczyk, Przemyslaw
12 Bardaro, Carlo
12 Finta, Zoltán
12 Foucart, Simon
12 García, Antonio G.
12 Harbrecht, Helmut
12 Lubinsky, Doron S.
12 Nochetto, Ricardo Horacio
12 Skopina, Maria A.
12 Totik, Vilmos
12 Verani, Marco
12 Wang, Heping
12 Zhou, Dingxuan
11 Amat, Sergio P.
11 Černá, Dana
11 Cobos, Fernando
11 Dyn, Nira
11 Erdélyi, Tamás
11 Grohs, Philipp
11 Hangelbroek, Thomas C.
11 Kolomoitsev, Yurii S.
11 Krahmer, Felix
11 Kutyniok, Gitta
11 Li, Yunzhang
11 Mantellini, Ilaria
11 Narayan, Akil C.
11 Oswald, Peter
11 Pérez-Villalón, Gerardo
11 Urban, Karsten
10 Autin, Florent
10 Chen, Peng
10 Comte, Fabienne
10 Dominguez, Oscar
10 Draganov, Borislav R.
10 Feischl, Michael
10 Gonska, Heinz Herbert
10 Güntürk, Cemalettin Sinan
10 Kim, Hong Oh
10 Kunoth, Angela
10 Maday, Yvon
10 Maiorov, Vitaly Evgen’evich
10 Mixon, Dustin G.
10 Paternostro, Victoria
10 Qian, Tao
10 Unser, Michael A.
10 Ward, Joseph Dinneen
10 Webster, Clayton G.
10 Xu, Yuesheng
10 Yılmaz, Özgür
10 Yu, Xiangming
10 Zeng, Xiaoming
9 Aldroubi, Akram
9 Bachmayr, Markus
9 Daubechies, Ingrid Chantal
9 Duman, Oktay
9 Finěk, Václav
...and 4,113 more Authors
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Cited in 457 Serials

344 Journal of Approximation Theory
201 Applied and Computational Harmonic Analysis
127 Journal of Mathematical Analysis and Applications
109 Constructive Approximation
101 Journal of Computational and Applied Mathematics
86 The Journal of Fourier Analysis and Applications
83 Mathematics of Computation
81 Numerische Mathematik
71 Applied Mathematics and Computation
69 Advances in Computational Mathematics
59 Journal of Complexity
56 Computers & Mathematics with Applications
56 Journal of Functional Analysis
51 SIAM Journal on Numerical Analysis
50 Mathematical Notes
50 The Annals of Statistics
48 Foundations of Computational Mathematics
47 International Journal of Wavelets, Multiresolution and Information Processing
43 Journal of Scientific Computing
40 Journal of Computational Physics
39 Proceedings of the American Mathematical Society
39 SIAM Journal on Scientific Computing
35 Numerical Algorithms
33 Computer Methods in Applied Mechanics and Engineering
33 Numerical Functional Analysis and Optimization
30 Results in Mathematics
29 Transactions of the American Mathematical Society
29 Proceedings of the Steklov Institute of Mathematics
28 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
27 Linear Algebra and its Applications
27 SIAM/ASA Journal on Uncertainty Quantification
23 Analysis Mathematica
23 Applied Numerical Mathematics
23 Acta Mathematica Sinica. English Series
23 Electronic Journal of Statistics
22 Science China. Mathematics
21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
19 Journal of Inequalities and Applications
17 Calcolo
17 Journal of Multivariate Analysis
17 Journal of Statistical Planning and Inference
17 Mathematische Nachrichten
16 Acta Mathematica Hungarica
16 Journal of Function Spaces
15 Inverse Problems
15 Statistics & Probability Letters
15 Neural Networks
15 Analysis and Applications (Singapore)
14 BIT
14 Mathematische Zeitschrift
14 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
14 Computer Aided Geometric Design
14 Journal of Mathematical Imaging and Vision
14 Abstract and Applied Analysis
14 Comptes Rendus. Mathématique. Académie des Sciences, Paris
14 SIAM Journal on Imaging Sciences
13 Journal d’Analyse Mathématique
13 Mathematics and Computers in Simulation
13 Mathematical and Computer Modelling
13 Mathematical Programming. Series A. Series B
13 St. Petersburg Mathematical Journal
12 Ukrainian Mathematical Journal
12 Numerical Methods for Partial Differential Equations
12 SIAM Journal on Mathematical Analysis
12 Computational Optimization and Applications
12 Journal of Mathematical Sciences (New York)
12 Mediterranean Journal of Mathematics
11 Bulletin of the Australian Mathematical Society
11 Rocky Mountain Journal of Mathematics
11 International Journal of Computer Mathematics
11 Central European Journal of Mathematics
11 Multiscale Modeling & Simulation
10 Advances in Mathematics
10 Acta Applicandae Mathematicae
10 Applied Mathematics Letters
10 Bernoulli
10 Analysis in Theory and Applications
10 Complex Analysis and Operator Theory
9 Israel Journal of Mathematics
9 Automatica
9 Signal Processing
9 The Journal of Geometric Analysis
9 Stochastic Processes and their Applications
9 Potential Analysis
8 Acta Mathematica Academiae Scientiarum Hungaricae
8 Journal of Optimization Theory and Applications
8 Acta Mathematicae Applicatae Sinica. English Series
8 Probability Theory and Related Fields
8 Revista Matemática Iberoamericana
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Mathematical Problems in Engineering
8 Positivity
8 Journal of Machine Learning Research (JMLR)
8 Inverse Problems and Imaging
7 Communications on Pure and Applied Mathematics
7 Discrete Applied Mathematics
7 Annali di Matematica Pura ed Applicata. Serie Quarta
7 Tohoku Mathematical Journal. Second Series
7 Circuits, Systems, and Signal Processing
7 Journal of Integral Equations and Applications
...and 357 more Serials
all top 5

Cited in 57 Fields

1,387 Approximations and expansions (41-XX)
1,309 Numerical analysis (65-XX)
920 Harmonic analysis on Euclidean spaces (42-XX)
503 Functional analysis (46-XX)
473 Information and communication theory, circuits (94-XX)
472 Partial differential equations (35-XX)
355 Statistics (62-XX)
237 Computer science (68-XX)
202 Probability theory and stochastic processes (60-XX)
185 Operator theory (47-XX)
175 Operations research, mathematical programming (90-XX)
146 Real functions (26-XX)
115 Linear and multilinear algebra; matrix theory (15-XX)
99 Calculus of variations and optimal control; optimization (49-XX)
75 Fluid mechanics (76-XX)
60 Functions of a complex variable (30-XX)
57 Systems theory; control (93-XX)
55 Mechanics of deformable solids (74-XX)
52 Integral equations (45-XX)
49 Special functions (33-XX)
47 Sequences, series, summability (40-XX)
44 Abstract harmonic analysis (43-XX)
40 Ordinary differential equations (34-XX)
40 Biology and other natural sciences (92-XX)
33 Combinatorics (05-XX)
31 Dynamical systems and ergodic theory (37-XX)
28 Optics, electromagnetic theory (78-XX)
26 Number theory (11-XX)
26 Potential theory (31-XX)
24 Statistical mechanics, structure of matter (82-XX)
23 Convex and discrete geometry (52-XX)
19 Integral transforms, operational calculus (44-XX)
19 Global analysis, analysis on manifolds (58-XX)
17 Topological groups, Lie groups (22-XX)
16 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
14 Measure and integration (28-XX)
13 Several complex variables and analytic spaces (32-XX)
13 Quantum theory (81-XX)
13 Geophysics (86-XX)
11 Difference and functional equations (39-XX)
7 Geometry (51-XX)
7 Differential geometry (53-XX)
6 Classical thermodynamics, heat transfer (80-XX)
5 Algebraic geometry (14-XX)
5 Group theory and generalizations (20-XX)
4 Mathematical logic and foundations (03-XX)
4 Astronomy and astrophysics (85-XX)
4 Mathematics education (97-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Mechanics of particles and systems (70-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Manifolds and cell complexes (57-XX)
1 General and overarching topics; collections (00-XX)
1 Commutative algebra (13-XX)
1 General topology (54-XX)
1 Relativity and gravitational theory (83-XX)

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