×
Compute Distance To:
Author ID: devore.ronald-a Recent zbMATH articles by "DeVore, Ronald A."
Published as: DeVore, Ronald A.; DeVore, Ronald; DeVore, R. A.; DeVore, R.; Devore, Ronald A.; Devore, Ronald; De Vore, R.; Devore, R. A.; Devore, R.; de Vore, Ronald A.; De Vore, Ronald A.; De Vore, Ronald; De Vore, R. A.; DeVore, Ronald R.; de Vore, R. A.
External Links: MGP · Wikidata · GND · IdRef · theses.fr
all top 5

Co-Authors

36 single-authored
41 Cohen, Albert
32 Dahmen, Wolfgang A.
18 Petrova, Guergana
11 Wojtaszczyk, Przemyslaw
10 de Boor, Carl
9 Binev, Peter G.
9 Temlyakov, Vladimir Nikolaevich
9 Yu, Xiangming
8 Daubechies, Ingrid Chantal
8 Lucier, Bradley J.
7 Kunoth, Angela
7 Sharpley, Robert C.
6 Leviatan, Dany
6 Ron, Amos
5 Petrushev, Pencho P.
5 Popov, Vasil Atanasov
5 Scherer, Karl
4 Bonito, Andrea
3 Berens, Hubert Anton
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 Foucart, Simon
2 Grasedyck, Lars
2 Guignard, Diane
2 Güntürk, Cemalettin Sinan
2 Höllig, Klaus H.
2 Jantsch, Peter
2 Lorentz, Georg Gunther
2 Micchelli, Charles A.
2 Nochetto, Ricardo Horacio
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 Gilbert, Anna C.
1 Grohs, Philipp
1 Hanin, B.
1 Hielsberg, Matthew
1 Hochmuth, Reinhard
1 Howard, Ralph E.
1 Hu, Yingkang
1 Iserles, Arieh
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 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, Xiang
1 Welper, Gerrit
1 Yan, Zheng
1 Zuazua, Enrique
all top 5

Serials

20 Constructive Approximation
10 Transactions of the American Mathematical Society
8 Journal of Approximation Theory
8 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
4 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
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
2 Communications on Pure and Applied Mathematics
2 American Journal of Mathematics
2 The Annals of Statistics
2 Journal of Functional Analysis
2 Tôhoku 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 Journal of Zhejiang University
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

156 Publications have been cited 5,918 times in 4,197 Documents Cited by Year
Constructive approximation. Zbl 0797.41016
DeVore, Ronald A.; Lorentz, George G.
1993
Nonlinear approximation. Zbl 0931.65007
DeVore, Ronald A.
291
1998
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
223
2004
A simple proof of the restricted isometry property for random matrices. Zbl 1177.15015
Baraniuk, Richard; Davenport, Mark; DeVore, Ronald; Wakin, Michael
210
2008
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
176
1994
Adaptive wavelet methods for elliptic operator equations: convergence rates. Zbl 0980.65130
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
167
2001
Compressed sensing and best \(k\)-term approximation. Zbl 1206.94008
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
165
2009
Approximation from shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
149
1994
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
145
2011
Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046
Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan
138
2010
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
134
2010
Convergence rates for greedy algorithms in reduced basis methods. Zbl 1229.65193
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
125
2011
Compression of wavelet decompositions. Zbl 0764.41024
DeVore, Ronald A.; Jawerth, Björn; Popov, Vasil
123
1992
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
115
1993
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
110
1996
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.
109
1998
Maximal functions measuring smoothness. Zbl 0529.42005
DeVore, Ronald A.; Sharpley, Robert C.
100
1984
Interpolation of Besov spaces. Zbl 0646.46030
Devore, Ronald A.; Popov, Vasil A.
95
1988
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
91
2002
The approximation of continuous functions by positive linear operators. Zbl 0276.41011
DeVore, Ronald A.
88
1972
Weak-\(L^\infty\) and BMO. Zbl 0465.42015
Bennett, Colin; DeVore, Ronald A.; Sharpley, Robert
84
1981
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
79
2015
Image compression through wavelet transform coding. Zbl 0754.68118
DeVore, Ronald A.; Jawerth, Björn; Lucier, Bradley J.
76
1992
Deterministic constructions of compressed sensing matrices. Zbl 1134.94312
DeVore, Ronald A.
62
2007
Besov spaces on domains in \({\mathbb{R}{}}^ d\). Zbl 0766.46015
Devore, Ronald A.; Sharpley, Robert C.
55
1993
Approximation by smooth multivariate splines. Zbl 0529.41010
de Boor, C.; DeVore, R.
51
1983
Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
50
2013
Approximation and learning by greedy algorithms. Zbl 1138.62019
Barron, Andrew R.; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.
49
2008
Nonlinear approximation and the space \(BV(\mathbb{R}^2)\). Zbl 0931.41019
Cohen, Albert; DeVore, Ronald; Petrushev, Pencho; Xu, Hong
46
1999
Besov regularity for elliptic boundary value problems. Zbl 0883.35018
Dahlke, Stephan; DeVore, Ronald A.
46
1997
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
46
2003
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
45
2003
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
43
2001
Optimal nonlinear approximation. Zbl 0682.41033
De Vore, Ronald A.; Howard, Ralph; Micchelli, Charles
42
1989
Hyperbolic wavelet approximation. Zbl 0895.41016
De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N.
42
1998
Fast computation in adaptive tree approximation. Zbl 1075.65158
Binev, Peter; DeVore, Ronald
39
2004
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
39
1998
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
37
2013
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
36
2006
Multi-dimensional spline approximation. Zbl 0437.41010
Dahmen, W.; De Vore, R.; Scherer, K.
35
1980
Restricted nonlinear approximation. Zbl 0947.41006
Cohen, A.; DeVore, R. A.; Hochmuth, R.
34
2000
Nonlinear approximation by trigonometric sums. Zbl 0886.42019
DeVore, R. A.; Temlyakov, V. N.
33
1995
Adaptive wavelet schemes for nonlinear variational problems. Zbl 1057.65031
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
31
2003
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
30
2001
Interpolation of linear operators on Sobolev spaces. Zbl 0422.46028
DeVore, R.; Scherer, K.
30
1979
Pointwise estimates for monotone polynomial approximation. Zbl 0583.41006
DeVore, Ronald A.; Yu, Xiang Ming
28
1985
Monotone approximation by polynomials. Zbl 0368.41002
de Vore, Ronald A.
27
1977
Data assimilation in reduced modeling. Zbl 06736493
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
27
2017
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.
23
2002
Sparse polynomial approximation of parametric elliptic PDEs. II: Lognormal coefficients. Zbl 1366.41005
Bachmayr, Markus; Cohen, Albert; DeVore, Ronald; Migliorati, Giovanni
23
2017
Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145
DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M.
21
1993
Universal algorithms for learning theory. I: Piecewise constant functions. Zbl 1191.62068
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.; Temlyakov, Vladimir N.
21
2005
Error bounds for Gaussian quadrature and weighted-\(L^ 1\) polynomial approximation. Zbl 0565.41028
DeVore, Ronald A.; Scott, L. Ridgway
20
1984
The averaging lemma. Zbl 1001.35079
DeVore, Ronald; Petrova, Guergana
19
2001
Approximation of functions of few variables in high dimensions. Zbl 1210.41009
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
19
2011
Tensor-sparsity of solutions to high-dimensional elliptic partial differential equations. Zbl 1365.65243
Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars; Süli, Endre
18
2016
Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286
Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
18
2012
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
17
2003
Degree of adaptive approximation. Zbl 0723.41015
DeVore, Ronald A.; Yu, Xiang Ming
16
1990
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0919.41009
de Boor, C.; DeVore, R. A.; Ron, A.
16
1998
Approximation using scattered shifts of a multivariate function. Zbl 1215.41004
DeVore, Ronald; Ron, Amos
16
2010
Convergence rates of AFEM with \(H^{-1}\) data. Zbl 1416.65440
Cohen, Albert; DeVore, Ronald; Nochetto, Ricardo H.
16
2012
Kolmogorov widths under holomorphic mappings. Zbl 1336.41010
Cohen, Albert; De Vore, Ronald
15
2016
Optimal convergence of positive linear operators. Zbl 0252.41017
De Vore, R.
15
1972
Approximation by feed-forward neural networks. Zbl 0884.41012
DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P.
15
1997
Quantitative Korovkin theorems for positive linear operators on \(L_p\)- spaces. Zbl 0397.41010
Berens, H.; De Vore, R.
15
1978
Instance-optimality in probability with an \(\ell _1\)-minimization decoder. Zbl 1177.94104
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
14
2009
A/D conversion with imperfect quantizers. Zbl 1231.94036
Daubechies, Ingrid; DeVore, Ronald A.; Güntürk, C. Sinan; Vaishampayan, Vinay A.
14
2006
Partitions of unity and approximation. Zbl 0547.41007
de Boor, Carl; DeVore, Ronald R.
13
1985
Adaptive finite element methods for elliptic problems with discontinuous coefficients. Zbl 1285.65078
Bonito, Andrea; Devore, Ronald A.; Nochetto, Ricardo H.
13
2013
Monotone approximation by splines. Zbl 0368.41006
de Vore, Ronald A.
13
1977
Nonlinear wavelet approximation in the space \(C(\mathbf R^ d)\). Zbl 0802.42027
DeVore, R. A.; Petrushev, P.; Yu, X. M.
13
1992
Interpolation spaces and nonlinear approximation. Zbl 0652.46054
DeVore, R. A.; Popov, V. A.
12
1988
A geometric proof of total positivity for spline interpolation. Zbl 0599.41021
de Boor, C.; DeVore, R.
12
1985
Error analysis for piecewise quadratic curve fitting algorithms. Zbl 0614.65008
DeVore, Ronald A.; Yan, Zheng
12
1986
Polynomial approximation in \(L_ p (O<p<1)\). Zbl 0753.41006
DeVore, Ronald A.; Leviatan, Dany; Yu, Xiang Ming
12
1992
High order regularity for conservation laws. Zbl 0714.35018
DeVore, Ronald A.; Lucier, Bradley J.
11
1990
Approximation of high-dimensional rank one tensors. Zbl 1308.41015
Bachmayr, Markus; Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars
11
2014
Orthogonal matching pursuit under the restricted isometry property. Zbl 1379.94014
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
11
2017
Quantitative Korovkin theorems for \(L_p\)-spaces. Zbl 0345.41013
Berens, H.; DeVore, R. A.
10
1976
On the differentiability of functions in \(R^ n\). Zbl 0572.46024
Devore, R. A.; Sharpley, R. C.
10
1984
Best basis selection for approximation in \(L_p\). Zbl 1067.41012
DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir
10
2003
Universal algorithms for learning theory. II: Piecewise polynomial functions. Zbl 1191.62067
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
10
2007
Surface compression. Zbl 0758.65005
DeVore, Ronald A.; Jawerth, Björn; Lucier, Bradley J.
10
1992
Wavelets. Zbl 0766.65009
DeVore, Ronald A.; Lucier, Bradley J.
10
1992
Strongly and weakly non-poised H-B interpolation problems. Zbl 0278.41003
DeVore, R.; Meir, A.; Sharma, A.
9
1973
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0948.41012
de Boor, C.; DeVore, R. A.; Ron, A.
9
1998
A characterization of Bernstein polynomials. Zbl 0483.41016
Berens, H.; DeVore, R.
9
1980
Reduced basis greedy selection using random training sets. Zbl 1444.62113
Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald; Nichols, James
9
2020
Convex optimization on Banach spaces. Zbl 1347.41032
DeVore, R. A.; Temlyakov, V. N.
9
2016
Data assimilation and sampling in Banach spaces. Zbl 1393.46017
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
9
2017
Approximation of monotone functions: A counter example. Zbl 0958.41012
DeVore, R. A.; Leviatan, D.; Shevchuk, I. A.
8
1997
Nonlinear approximation in finite-dimensional spaces. Zbl 0892.41009
DeVore, R. A.; Temlyakov, V. N.
8
1997
Multipliers of uniform convergence. Zbl 0179.36702
DeVore, Ronald
7
1968
Computing a quantity of interest from observational data. Zbl 1414.41019
DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw
7
2019
Nonlinear approximation and (Deep) ReLU networks. Zbl 07493718
Daubechies, I.; DeVore, R.; Foucart, S.; Hanin, B.; Petrova, G.
6
2022
Optimal stable nonlinear approximation. Zbl 07536699
Cohen, Albert; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
1
2022
Polynomial approximation of anisotropic analytic functions of several variables. Zbl 1462.41003
Bonito, Andrea; DeVore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
3
2021
Nonlinear methods for model reduction. Zbl 1476.41004
Bonito, Andrea; Cohen, Albert; Devore, Ronald; Guignard, Diane; Jantsch, Peter; Petrova, Guergana
3
2021
Reduced basis greedy selection using random training sets. Zbl 1444.62113
Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald; Nichols, James
9
2020
Optimal reduced model algorithms for data-based state estimation. Zbl 1458.65121
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Fadili, Jalal; Mula, Olga; Nichols, James
5
2020
Computing a quantity of interest from observational data. Zbl 1414.41019
DeVore, Ronald; Foucart, Simon; Petrova, Guergana; Wojtaszczyk, Przemyslaw
7
2019
Data assimilation in reduced modeling. Zbl 06736493
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
27
2017
Sparse polynomial approximation of parametric elliptic PDEs. II: Lognormal coefficients. Zbl 1366.41005
Bachmayr, Markus; Cohen, Albert; DeVore, Ronald; Migliorati, Giovanni
23
2017
Orthogonal matching pursuit under the restricted isometry property. Zbl 1379.94014
Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
11
2017
Data assimilation and sampling in Banach spaces. Zbl 1393.46017
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
9
2017
Diffusion coefficients estimation for elliptic partial differential equations. Zbl 1371.35340
Bonito, Andrea; Cohen, Albert; DeVore, Ronald; Petrova, Guergana; Welper, Gerrit
6
2017
Tensor-sparsity of solutions to high-dimensional elliptic partial differential equations. Zbl 1365.65243
Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars; Süli, Endre
18
2016
Kolmogorov widths under holomorphic mappings. Zbl 1336.41010
Cohen, Albert; De Vore, Ronald
15
2016
Convex optimization on Banach spaces. Zbl 1347.41032
DeVore, R. A.; Temlyakov, V. N.
9
2016
Approximation of high-dimensional parametric PDEs. Zbl 1320.65016
Cohen, Albert; DeVore, Ronald
79
2015
Approximation of high-dimensional rank one tensors. Zbl 1308.41015
Bachmayr, Markus; Dahmen, Wolfgang; DeVore, Ronald; Grasedyck, Lars
11
2014
Classification algorithms using adaptive partitioning. Zbl 1310.62074
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; Devore, Ronald
5
2014
Recovery of an initial temperature from discrete sampling. Zbl 1298.35250
DeVore, Ronald; Zuazua, Enrique
3
2014
Greedy algorithms for reduced bases in Banach spaces. Zbl 1276.41021
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
50
2013
Sparse adaptive Taylor approximation algorithms for parametric and stochastic elliptic PDEs. Zbl 1273.65009
Chkifa, Abdellah; Cohen, Albert; Devore, Ronald; Schwab, Christoph
37
2013
Adaptive finite element methods for elliptic problems with discontinuous coefficients. Zbl 1285.65078
Bonito, Andrea; Devore, Ronald A.; Nochetto, Ricardo H.
13
2013
Finding the minimum of a function. Zbl 1297.65068
Cohen, Albert; Devore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemysław
3
2013
Capturing ridge functions in high dimensions from point queries. Zbl 1318.62286
Cohen, Albert; Daubechies, Ingrid; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
18
2012
Convergence rates of AFEM with \(H^{-1}\) data. Zbl 1416.65440
Cohen, Albert; DeVore, Ronald; Nochetto, Ricardo H.
16
2012
Analytic regularity and polynomial approximation of parametric and stochastic elliptic PDE’s. Zbl 1219.35379
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
145
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
125
2011
Approximation of functions of few variables in high dimensions. Zbl 1210.41009
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
19
2011
Iteratively reweighted least squares minimization for sparse recovery. Zbl 1202.65046
Daubechies, Ingrid; DeVore, Ronald; Fornasier, Massimo; Güntürk, C. Sinan
138
2010
Convergence rates of best \(N\)-term Galerkin approximations for a class of elliptic SPDEs. Zbl 1206.60064
Cohen, Albert; DeVore, Ronald; Schwab, Christoph
134
2010
Approximation using scattered shifts of a multivariate function. Zbl 1215.41004
DeVore, Ronald; Ron, Amos
16
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
165
2009
Instance-optimality in probability with an \(\ell _1\)-minimization decoder. Zbl 1177.94104
DeVore, Ronald; Petrova, Guergana; Wojtaszczyk, Przemyslaw
14
2009
Multiscale, nonlinear and adaptive approximation. Dedicated to Wolfgang Dahmen on the occasion of his 60th birthday. Zbl 1181.65007
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
210
2008
Approximation and learning by greedy algorithms. Zbl 1138.62019
Barron, Andrew R.; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald A.
49
2008
Anisotropic smoothness spaces via level sets. Zbl 1150.41321
DeVore, Ronald A.; Petrova, Guergana; Wojtaszczyk, Przemysław
1
2008
Deterministic constructions of compressed sensing matrices. Zbl 1134.94312
DeVore, Ronald A.
62
2007
Universal algorithms for learning theory. II: Piecewise polynomial functions. Zbl 1191.62067
Binev, Peter; Cohen, Albert; Dahmen, Wolfgang; DeVore, Ronald
10
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
6
2007
Approximation methods for supervised learning. Zbl 1146.62322
DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique; Temlyakov, Vladimir
36
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.
21
2005
Adaptive finite element methods with convergence rates. Zbl 1063.65120
Binev, Peter; Dahmen, Wolfgang; DeVore, Ronald
223
2004
Fast computation in adaptive tree approximation. Zbl 1075.65158
Binev, Peter; DeVore, Ronald
39
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
46
2003
Harmonic analysis of the space BV. Zbl 1044.42028
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
45
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
17
2003
Best basis selection for approximation in \(L_p\). Zbl 1067.41012
DeVore, Ronald; Petrova, Guergana; Temlyakov, Vladimir
10
2003
Adaptive wavelet methods. II: Beyond the elliptic case. Zbl 1025.65056
Cohen, A.; Dahmen, W.; DeVore, R.
91
2002
Approximation classes for adaptive methods. Zbl 1039.42030
Binev, P.; Dahmen, W.; DeVore, R.; Petrushev, P.
23
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
167
2001
Tree approximation and optimal encoding. Zbl 0992.65151
Cohen, Albert; Dahmen, Wolfgang; Daubechies, Ingrid; DeVore, Ronald
43
2001
Maximal spaces with given rate of convergence for thresholding algorithms. Zbl 0997.62025
Cohen, Albert; DeVore, Ronald; Kerkyacharian, Gerard; Picard, Dominique
30
2001
The averaging lemma. Zbl 1001.35079
DeVore, Ronald; Petrova, Guergana
19
2001
Restricted nonlinear approximation. Zbl 0947.41006
Cohen, A.; DeVore, R. A.; Hochmuth, R.
34
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
46
1999
Nonlinear approximation. Zbl 0931.65007
DeVore, Ronald A.
291
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.
109
1998
Hyperbolic wavelet approximation. Zbl 0895.41016
De Vore, R. A.; Konyagin, S. V.; Temlyakov, V. N.
42
1998
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
39
1998
Approximation orders of FSI spaces in \(L_2(\mathbb{R}^d)\). Zbl 0919.41009
de Boor, C.; DeVore, R. A.; Ron, A.
16
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.
46
1997
Approximation by feed-forward neural networks. Zbl 0884.41012
DeVore, Ronald A.; Oskolkov, Konstantin I.; Petrushev, Pencho P.
15
1997
Approximation of monotone functions: A counter example. Zbl 0958.41012
DeVore, R. A.; Leviatan, D.; Shevchuk, I. A.
8
1997
Nonlinear approximation in finite-dimensional spaces. Zbl 0892.41009
DeVore, R. A.; Temlyakov, V. N.
8
1997
Some remarks on greedy algorithms. Zbl 0857.65016
DeVore, R. A.; Temlyakov, V. N.
110
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
On the size and smoothness of solutions to nonlinear hyperbolic conservation laws. Zbl 0851.35087
DeVore, Ronald A.; Lucier, Bradley J.
1
1996
Nonlinear approximation by trigonometric sums. Zbl 0886.42019
DeVore, R. A.; Temlyakov, V. N.
33
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
176
1994
Approximation from shift-invariant subspaces of \(L_ 2(\mathbb{R}^ d)\). Zbl 0790.41012
de Boor, Carl; Devore, Ronald A.; Ron, Amos
149
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.
1993
On the construction of multivariate (pre)wavelets. Zbl 0773.41013
de Boor, Carl; DeVore, Ronald A.; Ron, Amos
115
1993
Besov spaces on domains in \({\mathbb{R}{}}^ d\). Zbl 0766.46015
Devore, Ronald A.; Sharpley, Robert C.
55
1993
Wavelet compression and nonlinear \(n\)-widths. Zbl 0824.65145
DeVore, R. A.; Kyriazis, G.; Leviatan, D.; Tikhomirov, V. M.
21
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
123
1992
Image compression through wavelet transform coding. Zbl 0754.68118
DeVore, Ronald A.; Jawerth, Björn; Lucier, Bradley J.
76
1992
Nonlinear wavelet approximation in the space \(C(\mathbf R^ d)\). Zbl 0802.42027
DeVore, R. A.; Petrushev, P.; Yu, X. M.
13
1992
Polynomial approximation in \(L_ p (O<p<1)\). Zbl 0753.41006
DeVore, Ronald A.; Leviatan, Dany; Yu, Xiang Ming
12
1992
Surface compression. Zbl 0758.65005
DeVore, Ronald A.; Jawerth, Björn; Lucier, Bradley J.
10
1992
Wavelets. Zbl 0766.65009
DeVore, Ronald A.; Lucier, Bradley J.
10
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
16
1990
High order regularity for conservation laws. Zbl 0714.35018
DeVore, Ronald A.; Lucier, Bradley J.
11
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
42
1989
Degree of nonlinear approximation. Zbl 0705.41022
DeVore, Ronald A.
4
1989
...and 56 more Documents
all top 5

Cited by 4,517 Authors

57 DeVore, Ronald A.
54 Schwab, Christoph
43 Cohen, Albert
43 Dahmen, Wolfgang A.
39 Temlyakov, Vladimir Nikolaevich
36 Dahlke, Stephan
34 Stevenson, Rob P.
33 Praetorius, Dirk
30 Gupta, Vijay
29 Carstensen, Carsten
29 Leviatan, Dany
24 Shen, Zuowei
23 Schneider, Reinhold
22 Mhaskar, Hrushikesh N.
21 Nobile, Fabio
20 Agrawal, Purshottam Narain
20 Dinh Dũng
20 Rauhut, Holger
20 Ron, Amos
20 Tikhonov, Sergey Yur’evich
19 Fornasier, Massimo
19 Petrova, Guergana
18 Griebel, Michael
18 Li, Song
18 Sablonnière, Paul
17 Nielsen, Morten
16 Cabrelli, Carlos A.
16 Kolomoitsev, Yurii S.
16 Sbibih, Driss
16 Sickel, Winfried
15 Ditzian, Zeev
15 Foucart, Simon
15 Kutyniok, Gitta
15 Sun, Qiyu
15 Vybíral, Jan
15 Wojtaszczyk, Przemyslaw
14 Bownik, Marcin
14 Chui, Charles Kam-tai
14 Hernandez, Eugenio
14 Iwen, Mark A.
14 Kopotun, Kirill A.
14 Krahmer, Felix
14 Milman, Mario Marcos
14 Oswald, Peter
14 Tempone, Raúl F.
13 Amat, Sergio P.
13 Cai, Qingbo
13 Canuto, Claudio
13 Draganov, Borislav R.
13 Grohs, Philipp
13 Lim, Jae Kun
13 Mishra, Vishnu Narayan
13 Mursaleen, Mohammad
13 Narayan, Akil C.
13 Petrushev, Pencho P.
13 Urban, Karsten
13 Webster, Clayton G.
13 Zhou, Dingxuan
12 Bachmayr, Markus
12 Chen, Peng
12 Daubechies, Ingrid Chantal
12 Dominguez, Oscar
12 Feischl, Michael
12 García, Antonio G.
12 Harbrecht, Helmut
12 Lubinsky, Doron S.
12 Mixon, Dustin G.
12 Nochetto, Ricardo Horacio
12 Paternostro, Victoria
12 Unser, Michael A.
12 Verani, Marco
12 Wang, Heping
12 Ye, Peixin
11 Bardaro, Carlo
11 Černá, Dana
11 Chen, Yanlai
11 Cobos, Fernando
11 Erdélyi, Tamás
11 Finta, Zoltán
11 Hangelbroek, Thomas C.
11 Li, Yunzhang
11 Maday, Yvon
11 Pérez-Villalón, Gerardo
11 Qian, Tao
11 Xu, Jinchao
10 Anastassiou, George Angelos
10 Autin, Florent
10 Cheng, Wentao
10 Deo, Naokant
10 Dyn, Nira
10 Gonska, Heinz Herbert
10 Gribonval, Rémi
10 Güntürk, Cemalettin Sinan
10 Kim, Hong Oh
10 Kunoth, Angela
10 Mantellini, Ilaria
10 Melenk, Jens Markus
10 Quarteroni, Alfio M.
10 Saab, Rayan
10 Shevchuk, Igor A.
...and 4,417 more Authors
all top 5

Cited in 506 Serials

330 Journal of Approximation Theory
208 Applied and Computational Harmonic Analysis
127 Journal of Mathematical Analysis and Applications
117 Constructive Approximation
107 Journal of Computational and Applied Mathematics
93 The Journal of Fourier Analysis and Applications
90 Mathematics of Computation
89 Numerische Mathematik
75 Advances in Computational Mathematics
73 Applied Mathematics and Computation
60 SIAM Journal on Numerical Analysis
58 Computers & Mathematics with Applications
57 Journal of Functional Analysis
56 Journal of Complexity
53 The Annals of Statistics
52 Mathematical Notes
51 Journal of Scientific Computing
51 Foundations of Computational Mathematics
49 International Journal of Wavelets, Multiresolution and Information Processing
47 SIAM Journal on Scientific Computing
44 Journal of Computational Physics
44 Proceedings of the American Mathematical Society
41 Journal of Inequalities and Applications
40 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
39 Computer Methods in Applied Mechanics and Engineering
38 Numerical Algorithms
34 Numerical Functional Analysis and Optimization
32 Transactions of the American Mathematical Society
31 Results in Mathematics
30 SIAM/ASA Journal on Uncertainty Quantification
29 Linear Algebra and its Applications
29 Proceedings of the Steklov Institute of Mathematics
28 Electronic Journal of Statistics
25 Analysis Mathematica
24 Applied Numerical Mathematics
23 Acta Mathematica Sinica. English Series
23 Science China. Mathematics
22 Inverse Problems
21 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
20 Journal of Mathematical Imaging and Vision
20 Journal of Function Spaces
18 Calcolo
17 Mathematische Nachrichten
17 Acta Mathematica Hungarica
17 Neural Networks
17 Mathematical Programming. Series A. Series B
17 Journal of Mathematical Sciences (New York)
17 Comptes Rendus. Mathématique. Académie des Sciences, Paris
17 Analysis and Applications (Singapore)
16 International Journal of Computer Mathematics
15 BIT
15 Journal of Multivariate Analysis
15 Journal of Statistical Planning and Inference
15 SIAM Journal on Imaging Sciences
14 Mathematische Zeitschrift
14 Statistics & Probability Letters
14 Computer Aided Geometric Design
14 The Journal of Geometric Analysis
14 Computational Optimization and Applications
14 Filomat
14 Abstract and Applied Analysis
14 Computational Methods in Applied Mathematics
13 Journal d’Analyse Mathématique
13 Advances in Mathematics
13 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
13 Mediterranean Journal of Mathematics
12 Ukrainian Mathematical Journal
12 Mathematics and Computers in Simulation
12 Numerical Methods for Partial Differential Equations
12 SIAM Journal on Mathematical Analysis
12 St. Petersburg Mathematical Journal
12 Multiscale Modeling & Simulation
11 Bulletin of the Australian Mathematical Society
11 Rocky Mountain Journal of Mathematics
11 Acta Applicandae Mathematicae
11 Bernoulli
11 Journal of Machine Learning Research (JMLR)
10 Israel Journal of Mathematics
10 Automatica
10 Central European Journal of Mathematics
10 Analysis in Theory and Applications
10 Complex Analysis and Operator Theory
10 SIAM Journal on Mathematics of Data Science
9 Applied Mathematics Letters
9 Mathematical and Computer Modelling
9 Signal Processing
9 Potential Analysis
8 Acta Mathematica Academiae Scientiarum Hungaricae
8 Applicable Analysis
8 Journal of Optimization Theory and Applications
8 Acta Mathematicae Applicatae Sinica. English Series
8 Revista Matemática Iberoamericana
8 Journal de Mathématiques Pures et Appliquées. Neuvième Série
8 Mathematical Problems in Engineering
8 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
8 Positivity
8 Journal of Numerical Mathematics
8 Inverse Problems and Imaging
7 Communications on Pure and Applied Mathematics
7 Discrete Applied Mathematics
...and 406 more Serials
all top 5

Cited in 57 Fields

1,502 Approximations and expansions (41-XX)
1,485 Numerical analysis (65-XX)
997 Harmonic analysis on Euclidean spaces (42-XX)
537 Partial differential equations (35-XX)
530 Functional analysis (46-XX)
520 Information and communication theory, circuits (94-XX)
404 Statistics (62-XX)
296 Computer science (68-XX)
219 Probability theory and stochastic processes (60-XX)
216 Operations research, mathematical programming (90-XX)
194 Operator theory (47-XX)
164 Real functions (26-XX)
127 Linear and multilinear algebra; matrix theory (15-XX)
116 Calculus of variations and optimal control; optimization (49-XX)
90 Fluid mechanics (76-XX)
64 Functions of a complex variable (30-XX)
61 Systems theory; control (93-XX)
59 Mechanics of deformable solids (74-XX)
55 Integral equations (45-XX)
53 Abstract harmonic analysis (43-XX)
50 Special functions (33-XX)
49 Biology and other natural sciences (92-XX)
48 Sequences, series, summability (40-XX)
37 Ordinary differential equations (34-XX)
34 Combinatorics (05-XX)
34 Dynamical systems and ergodic theory (37-XX)
34 Optics, electromagnetic theory (78-XX)
29 Statistical mechanics, structure of matter (82-XX)
28 Potential theory (31-XX)
28 Convex and discrete geometry (52-XX)
27 Number theory (11-XX)
22 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
20 Integral transforms, operational calculus (44-XX)
19 Global analysis, analysis on manifolds (58-XX)
17 Several complex variables and analytic spaces (32-XX)
16 Topological groups, Lie groups (22-XX)
15 Measure and integration (28-XX)
14 Quantum theory (81-XX)
14 Geophysics (86-XX)
11 Difference and functional equations (39-XX)
9 Classical thermodynamics, heat transfer (80-XX)
8 Geometry (51-XX)
6 Differential geometry (53-XX)
6 Mechanics of particles and systems (70-XX)
6 Mathematics education (97-XX)
5 Algebraic geometry (14-XX)
4 Mathematical logic and foundations (03-XX)
4 Group theory and generalizations (20-XX)
4 Astronomy and astrophysics (85-XX)
3 General and overarching topics; collections (00-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Manifolds and cell complexes (57-XX)
2 History and biography (01-XX)
2 Field theory and polynomials (12-XX)
2 Relativity and gravitational theory (83-XX)
1 Commutative algebra (13-XX)
1 General topology (54-XX)

Citations by Year

The data are displayed as stored in Wikidata under a Creative Commons CC0 License. Updates and corrections should be made in Wikidata.