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Donoho, David Leigh

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Author ID: donoho.david-l Recent zbMATH articles by "Donoho, David Leigh"
Published as: Donoho, David L.; Donoho, David; Donoho, D. L.
Homepage: https://statistics.stanford.edu/people/david-donoho
External Links: MGP · Wikidata
Awards: Carl Friedrich Gauss Prize (2018)
all top 5

Co-Authors

29 single-authored
16 Johnstone, Iain Murray
10 Candès, Emmanuel J.
8 Elad, Michael
8 Starck, Jean-Luc
7 Gavish, Matan
6 Huo, Xiaoming
6 Jin, Jiashun
5 Averbuch, Amir Z.
5 Coifman, Ronald Raphaël
5 Flesia, Ana Georgina
5 Liu, Richard Chieng
5 Montanari, Andrea
5 Tanner, Jared W.
4 Arias-Castro, Ery
4 Tsaig, Yaakov
3 Israeli, Moshe
3 Kerkyacharian, Gérard
3 Picard, Dominique B.
3 Yu, Thomas Pok-Yin
2 Chen, Scott Shaobing
2 Drori, Iddo
2 Grimes, Carrie
2 Levi, Ofer
2 Mallat, Stephane Georges
2 Monajemi, Hatef
2 Querre, P.
2 Raimondo, Marc E.
2 Saunders, Michael A.
2 Shkolnisky, Yoel
2 Stark, Philip B.
2 Temlyakov, Vladimir Nikolaevich
1 Abramovich, Felix P.
1 Aghanim, Nabila
1 Benjamini, Yoav
1 Bobin, Jérôme
1 Bruckstein, Alfred Marcel
1 Buckheit, Jonathan B.
1 Coit, Jason
1 Daubechies, Ingrid Chantal
1 Demanet, Laurent
1 DeVore, Ronald A.
1 Dyn, Nira
1 Fadili, Jalal M.
1 Forni, Olivier
1 Gasko, Miriam
1 Hoch, Jeffrey C.
1 Huber, Peter Jost
1 Jafarpour, Sina
1 Javanmard, Adel
1 Kipnis, Alon
1 Krim, Hamid
1 Kutyniok, Gitta
1 Logan, Benjamin F.
1 Low, Mark G.
1 Lund, Carsten
1 MacGibbon, Brenda
1 Maleki, Arian
1 Mhaskar, Hrushikesh N.
1 Moudden, Yassir
1 Murtagh, Fionn D.
1 Nussbaum, Michael
1 Papyan, Vardan
1 Paxson, Vern
1 Rahman, Inam Ur
1 Roughan, Matthew
1 Samuelides, Yann
1 Schclar, Alon
1 Schröder, Peter
1 Sedelnikov, Ilya
1 Shankar, Umesh
1 Staniford, Stuart
1
1 Stern, Alan S.
1 Stodden, Victoria C.
1 Tovey, Craig A.
1 Tucker, Dewey
1 Vetterli, Martin
1 von Sachs, Rainer
1 Ying, Lexing
1 Zhang, Yin
1 Zhou, Dingxuan
all top 5

Serials

23 The Annals of Statistics
16 IEEE Transactions on Information Theory
9 Applied and Computational Harmonic Analysis
8 Proceedings of the National Academy of Sciences of the United States of America
5 IEEE Transactions on Image Processing
3 Communications on Pure and Applied Mathematics
3 Journal of Approximation Theory
3 Probability Theory and Related Fields
3 Signal Processing
3 SIAM Journal on Mathematical Analysis
3 SIAM Journal on Scientific Computing
3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences
2 Discrete & Computational Geometry
2 Journal of the Royal Statistical Society. Series B
2 SIAM Journal on Applied Mathematics
2 SIAM Review
2 Statistica Sinica
2 EURASIP Journal on Applied Signal Processing
2 Multiscale Modeling & Simulation
2 International Journal of Wavelets, Multiresolution and Information Processing
1 Advances in Applied Probability
1 Biometrika
1 Journal of the American Statistical Association
1 Journal of Complexity
1 Constructive Approximation
1 Statistical Science
1 Journal of the American Mathematical Society
1 IEEE Transactions on Signal Processing
1 Comptes Rendus de l’Académie des Sciences. Série I
1 Notices of the American Mathematical Society
1 Journal of Mathematical Imaging and Vision
1 Bernoulli
1 Network: Computation in Neural Systems
1 Biostatistics
1 The ANZIAM Journal
1
1 Journal de la Société Française de Statistique
1 Information and Inference

Publications by Year

Citations contained in zbMATH Open

124 Publications have been cited 9,882 times in 5,925 Documents Cited by Year
Compressed sensing. Zbl 1288.94016
Donoho, David L.
2006
Ideal spatial adaptation by wavelet shrinkage. Zbl 0815.62019
Donoho, David L.; Johnstone, Iain M.
798
1994
Atomic decomposition by basis pursuit. Zbl 0919.94002
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
497
1999
Adapting to unknown smoothness via wavelet shrinkage. Zbl 0869.62024
Donoho, David L.; Johnstone, Iain M.
385
1995
De-noising by soft-thresholding. Zbl 0820.62002
Donoho, David L.
379
1995
Atomic decomposition by basis pursuit. Zbl 0979.94010
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
281
2001
Density estimation by wavelet thresholding. Zbl 0860.62032
Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique
279
1996
Optimally sparse representation in general (nonorthogonal) dictionaries via \(\ell^1\) minimization. Zbl 1064.94011
Donoho, David L.; Elad, Michael
279
2003
From sparse solutions of systems of equations to sparse modeling of signals and images. Zbl 1178.68619
Bruckstein, Alfred M.; Donoho, David L.; Elad, Michael
251
2009
New tight frames of curvelets and optimal representations of objects with piecewise \(C ^{2}\) singularities. Zbl 1038.94502
Candès, Emmanuel J.; Donoho, David L.
246
2004
Wavelet shrinkage: Asymptopia? Zbl 0827.62035
Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique
239
1995
Uncertainty principles and signal recovery. Zbl 0689.42001
Donoho, David L.; Stark, Philip B.
221
1989
Minimax estimation via wavelet shrinkage. Zbl 0935.62041
Donoho, David L.; Johnstone, Iain M.
214
1998
Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017
Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N.
199
2006
Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503
Donoho, David L.; Huo, Xiaoming
198
2001
Breakdown properties of location estimates based on halfspace depth and projected outlyingness. Zbl 0776.62031
Donoho, David L.; Gasko, Miriam
188
1992
For most large underdetermined systems of linear equations the minimal \(\ell_{1}\)-norm solution is also the sparsest solution. Zbl 1113.15004
Donoho, David L.
183
2006
Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051
Donoho, David; Jin, Jiashun
173
2004
Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337
Donoho, David L.; Grimes, Carrie
162
2003
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
149
1995
Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005
Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M.
111
2006
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
110
2006
Translation-invariant de-noising. Zbl 0866.94008
Coifman, R. R.; Donoho, D. L.
104
1995
Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503
Candès, Emmanuel J.; Donoho, David L.
98
1999
The curvelet transform for image denoising. Zbl 1288.94011
Starck, Jean-Luc; Candès, Emmanuel J.; Donoho, David L.
98
2002
Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732
Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L.
92
2005
The notion of breakdown point. Zbl 0523.62032
Donoho, David L.; Huber, Peter J.
89
1983
Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012
Starck, Jean-Luc; Elad, Michael; Donoho, David L.
84
2005
Sparse solution of underdetermined systems of linear equations by stagewise orthogonal matching pursuit. Zbl 1365.94069
Donoho, David L.; Tsaig, Yaakov; Drori, Iddo; Starck, Jean-Luc
80
2012
Minimax risk over hyperrectangles, and implications. Zbl 0705.62018
Donoho, David L.; Liu, Richard C.; MacGibbon, Brenda
72
1990
Wedgelets: Nearly minimax estimation of edges. Zbl 0957.62029
Donoho, David L.
70
1999
Minimax risk over \(l_ p\)-balls for \(l_ q\)-error. Zbl 0802.62006
Donoho, D. L.; Johnstone, I. M.
69
1994
Geometrizing rates of convergence. II. Zbl 0754.62028
Donoho, David L.; Liu, Richard C.
69
1991
Geometrizing rates of convergence. III. Zbl 0754.62029
Donoho, David L.; Liu, Richard C.
68
1991
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
68
2005
The “automatic” robustness of minimum distance functionals. Zbl 0684.62030
Donoho, David L.; Liu, Richard C.
65
1988
Statistical estimation and optimal recovery. Zbl 0805.62014
Donoho, David L.
64
1994
Maximum entropy and the nearly black object.(With discussion). Zbl 0788.62103
Donoho, David L.; Johnstone, Iain M.; Hoch, Jeffrey C.; Stern, Alan S.
60
1992
Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
Donoho, David L.
60
1993
Fast solution of \(\ell_1\)-norm minimization problems when the solution may be sparse. Zbl 1247.94009
Donoho, David L.; Tsaig, Yaakov
59
2008
Sparse components of images and optimal atomic decompositions. Zbl 0995.65150
Donoho, D. L.
58
2001
Superresolution via sparsity constraints. Zbl 0769.42007
Donoho, David L.
56
1992
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
55
2005
Multiscale representations for manifold-valued data. Zbl 1236.65166
Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter
53
2005
Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010
Donoho, David L.; Tanner, Jared
53
2009
Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Zbl 1185.94029
Donoho, David; Tanner, Jared
50
2009
Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300
Donoho, David L.; Tanner, Jared
50
2005
One-sided inference about functionals of a density. Zbl 0665.62040
Donoho, David L.
46
1988
Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014
Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming
46
2005
The optimal hard threshold for singular values is \(4/\sqrt 3\). Zbl 1360.94071
Gavish, Matan; Donoho, David L.
45
2014
Minimax quadratic estimation of a quadratic functional. Zbl 0724.62039
Donoho, David L.; Nussbaum, Michael
44
1990
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500
Donoho, David L.
43
2006
Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335
Candès, Emmanuel J.; Donoho, David L.
43
2002
Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212
Donoho, David; Jin, Jiashun
42
2008
Extensions of compressed sensing. Zbl 1163.94399
Tsaig, Yaakov; Donoho, David L.
42
2006
Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004
Donoho, David L.; Tanner, Jared
39
2010
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
39
1998
Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032
Donoho, David L.; Low, Mark G.
38
1992
CART and best-ortho-basis: a connection. Zbl 0942.62044
Donoho, David L.
37
1997
Signal recovery and the large sieve. Zbl 0768.42001
Donoho, D. L.; Logan, B. F.
34
1992
Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099
Donoho, David; Gavish, Matan; Johnstone, Iain
31
2018
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta
30
2013
High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220
Donoho, David; Montanari, Andrea
28
2016
Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data. Zbl 0786.62094
Donoho, David L.
27
1993
Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019
Donoho, David; Jin, Jiashun
26
2015
Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery. Zbl 0802.62007
Donoho, D. L.
26
1994
Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014
Donoho, David; Gavish, Matan
25
2014
Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017
Donoho, David L.; Yu, Thomas P.-Y.
25
2000
Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113
Donoho, David; Jin, Jiashun
24
2009
Orthonormal ridgelets and linear singularities. Zbl 0952.42020
Donoho, David L.
24
2000
Projection-based approximation and a duality with kernel methods. Zbl 0699.62067
Donoho, David L.; Johnstone, Iain M.
24
1989
Beamlets and multiscale image analysis. Zbl 1084.65134
Donoho, David L.; Huo, Xiaoming
24
2002
Unconditional bases and bit-level compression. Zbl 0936.62004
Donoho, David L.
23
1996
Optimal shrinkage of singular values. Zbl 1366.94100
Gavish, Matan; Donoho, David L.
22
2017
Pathologies of some minimum distance estimators. Zbl 0684.62029
Donoho, David L.; Liu, Richard C.
22
1988
Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising. Zbl 1364.94092
Donoho, David L.; Johnstone, Iain; Montanari, Andrea
22
2013
The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094
Donoho, David L.; Maleki, Arian; Montanari, Andrea
20
2011
WaveLab and reproducible research. Zbl 0828.62001
Buckheit, Jonathan B.; Donoho, David L.
20
1995
Neo-classical minimax problems, thresholding and adaptive function estimation. Zbl 0877.62035
Donoho, David L.; Johnstone, Iain M.
20
1996
Ideal denoising in an orthonormal basis chosen from a library of bases. Zbl 0819.94007
Donoho, David L.; Johnstone, Iain M.
20
1994
On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329
Donoho, David L.; Elad, Michael
19
2006
Adaptive multiscale detection of filamentary structures in a background of uniform random points. Zbl 1091.62095
Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming
18
2006
Universal near minimaxity of wavelet shrinkage. Zbl 0891.62025
Donoho, D. L.; Johnstone, I. M.; Kerkyacharian, G.; Picard, D.
17
1997
On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007
Donoho, D. L.; Elad, M.; Temlyakov, V. N.
17
2007
Translation invariant deconvolution in a periodic setting. Zbl 1071.62088
Donoho, David L.; Raimondo, Marc E.
17
2004
Gray and color image contrast enhancement by the curvelet transform. Zbl 1288.94013
Starck, Jean-Luc; Murtagh, Fionn; Candès, Emmanuel J.; Donoho, David L.
17
2003
Cosmological non-Gaussian signature detection: comparing performance of different statistical tests. Zbl 1127.94335
Jin, J.; Starck, J.-L.; Donoho, D. L.; Aghanim, N.; Forni, O.
16
2005
Fast and accurate polar Fourier transform. Zbl 1107.65127
Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M.
16
2006
Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010
Donoho, David; Jin, Jiashun
15
2006
Curvelets and curvilinear integrals. Zbl 0989.42020
Candès, Emmanuel J.; Donoho, David L.
14
2001
Smooth wavelet decompositions with blocky coefficient kernels. Zbl 0813.42020
Donoho, David L.
13
1994
A framework for discrete integral transformations. I: The pseudopolar Fourier transform. Zbl 1167.65075
Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Israeli, M.; Shkolnisky, Y.
13
2008
Ridge functions and orthonormal ridgelets. Zbl 0982.42026
Donoho, David L.
11
2001
Asymptotic minimaxity of wavelet estimators with sampled data. Zbl 1065.62518
Donoho, David L.; Johnstone, Iain M.
10
1999
Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009
Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L.
10
2007
Image manifolds which are isometric to Euclidean space. Zbl 1478.62186
Donoho, David L.; Grimes, Carrie
9
2005
A framework for discrete integral transformations: II. The 2D discrete Radon transform. Zbl 1167.65076
Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Israeli, M.; Shkolnisky, Y.; Sedelnikov, I.
9
2008
Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120
Donoho, David L.; Javanmard, Adel; Montanari, Andrea
9
2013
Breakdown of equivalence between the minimal \(\ell^1\)-norm solution and the sparsest solution. Zbl 1163.94398
Tsaig, Yaakov; Donoho, David L.
9
2006
Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices. Zbl 1292.94007
Monajemi, Hatef; Jafarpour, Sina; Gavish, Matan; Stat 330/CME 362 Collaboration; Donoho, David L.
8
2013
Higher criticism to compare two large frequency tables, with sensitivity to possible rare and weak differences. Zbl 07547937
Donoho, David L.; Kipnis, Alon
1
2022
Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099
Donoho, David; Gavish, Matan; Johnstone, Iain
31
2018
Optimal shrinkage of singular values. Zbl 1366.94100
Gavish, Matan; Donoho, David L.
22
2017
High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220
Donoho, David; Montanari, Andrea
28
2016
Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019
Donoho, David; Jin, Jiashun
26
2015
The optimal hard threshold for singular values is \(4/\sqrt 3\). Zbl 1360.94071
Gavish, Matan; Donoho, David L.
45
2014
Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014
Donoho, David; Gavish, Matan
25
2014
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta
30
2013
Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising. Zbl 1364.94092
Donoho, David L.; Johnstone, Iain; Montanari, Andrea
22
2013
Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120
Donoho, David L.; Javanmard, Adel; Montanari, Andrea
9
2013
Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices. Zbl 1292.94007
Monajemi, Hatef; Jafarpour, Sina; Gavish, Matan; Stat 330/CME 362 Collaboration; Donoho, David L.
8
2013
The phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoising. Zbl 1292.94004
Donoho, David L.; Gavish, Matan; Montanari, Andrea
8
2013
Sparse solution of underdetermined systems of linear equations by stagewise orthogonal matching pursuit. Zbl 1365.94069
Donoho, David L.; Tsaig, Yaakov; Drori, Iddo; Starck, Jean-Luc
80
2012
The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094
Donoho, David L.; Maleki, Arian; Montanari, Andrea
20
2011
Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004
Donoho, David L.; Tanner, Jared
39
2010
Exponential bounds implying construction of compressed sensing matrices, error-correcting codes, and neighborly polytopes by random sampling. Zbl 1366.94233
Donoho, David L.; Tanner, Jared
6
2010
An invitation to reproducible computational research. Zbl 1437.62445
Donoho, David L.
2
2010
From sparse solutions of systems of equations to sparse modeling of signals and images. Zbl 1178.68619
Bruckstein, Alfred M.; Donoho, David L.; Elad, Michael
251
2009
Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010
Donoho, David L.; Tanner, Jared
53
2009
Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Zbl 1185.94029
Donoho, David; Tanner, Jared
50
2009
Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113
Donoho, David; Jin, Jiashun
24
2009
Does median filtering truly preserve edges better than linear filtering? Zbl 1160.62086
Arias-Castro, Ery; Donoho, David L.
4
2009
Fast solution of \(\ell_1\)-norm minimization problems when the solution may be sparse. Zbl 1247.94009
Donoho, David L.; Tsaig, Yaakov
59
2008
Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212
Donoho, David; Jin, Jiashun
42
2008
A framework for discrete integral transformations. I: The pseudopolar Fourier transform. Zbl 1167.65075
Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Israeli, M.; Shkolnisky, Y.
13
2008
A framework for discrete integral transformations: II. The 2D discrete Radon transform. Zbl 1167.65076
Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Israeli, M.; Shkolnisky, Y.; Sedelnikov, I.
9
2008
On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007
Donoho, D. L.; Elad, M.; Temlyakov, V. N.
17
2007
Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009
Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L.
10
2007
Compressed sensing. Zbl 1288.94016
Donoho, David L.
2006
Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017
Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N.
199
2006
For most large underdetermined systems of linear equations the minimal \(\ell_{1}\)-norm solution is also the sparsest solution. Zbl 1113.15004
Donoho, David L.
183
2006
Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005
Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M.
111
2006
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
110
2006
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500
Donoho, David L.
43
2006
Extensions of compressed sensing. Zbl 1163.94399
Tsaig, Yaakov; Donoho, David L.
42
2006
On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329
Donoho, David L.; Elad, Michael
19
2006
Adaptive multiscale detection of filamentary structures in a background of uniform random points. Zbl 1091.62095
Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming
18
2006
Fast and accurate polar Fourier transform. Zbl 1107.65127
Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M.
16
2006
Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010
Donoho, David; Jin, Jiashun
15
2006
Breakdown of equivalence between the minimal \(\ell^1\)-norm solution and the sparsest solution. Zbl 1163.94398
Tsaig, Yaakov; Donoho, David L.
9
2006
Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732
Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L.
92
2005
Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012
Starck, Jean-Luc; Elad, Michael; Donoho, David L.
84
2005
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
68
2005
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
55
2005
Multiscale representations for manifold-valued data. Zbl 1236.65166
Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter
53
2005
Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300
Donoho, David L.; Tanner, Jared
50
2005
Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014
Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming
46
2005
Cosmological non-Gaussian signature detection: comparing performance of different statistical tests. Zbl 1127.94335
Jin, J.; Starck, J.-L.; Donoho, D. L.; Aghanim, N.; Forni, O.
16
2005
Image manifolds which are isometric to Euclidean space. Zbl 1478.62186
Donoho, David L.; Grimes, Carrie
9
2005
Connect the dots: how many random points can a regular curve pass through? Zbl 1081.60006
Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming; Tovey, Craig A.
8
2005
A fast wavelet algorithm for image deblurring. Zbl 1078.65573
Donoho, D. L.; Raimondo, M. E.
3
2005
Estimating point-to-point and point-to-multipoint traffic matrices: an information-theoretic approach. Zbl 1288.94028
Zhang, Yin; Roughan, Matthew; Lund, Carsten; Donoho, David L.
3
2005
Analysis of the spatial distribution of galaxies by multiscale methods. Zbl 1141.85302
Starck, J-L.; Martínez, V. J.; Donoho, D. L.; Levi, O.; Querre, P.; Saar, E.
1
2005
New tight frames of curvelets and optimal representations of objects with piecewise \(C ^{2}\) singularities. Zbl 1038.94502
Candès, Emmanuel J.; Donoho, David L.
246
2004
Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051
Donoho, David; Jin, Jiashun
173
2004
Translation invariant deconvolution in a periodic setting. Zbl 1071.62088
Donoho, David L.; Raimondo, Marc E.
17
2004
Fast X-ray and beamlet transforms for three-dimensional data. Zbl 1070.65133
Donoho, David L.; Levi, Ofer
3
2004
Beamlab and reproducible research. Zbl 1104.68839
Donoho, David L.; Huo, Xiaoming
2
2004
Optimally sparse representation in general (nonorthogonal) dictionaries via \(\ell^1\) minimization. Zbl 1064.94011
Donoho, David L.; Elad, Michael
279
2003
Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337
Donoho, David L.; Grimes, Carrie
162
2003
Gray and color image contrast enhancement by the curvelet transform. Zbl 1288.94013
Starck, Jean-Luc; Murtagh, Fionn; Candès, Emmanuel J.; Donoho, David L.
17
2003
Digital ridgelet transform based on true ridge functions. Zbl 1087.65123
Donoho, D. L.; Flesia, A. G.
4
2003
Locally stationary covariance and signal estimation with macrotiles. Zbl 1369.94132
Donoho, David L.; Mallat, Stéphane; von Sachs, Rainer; Samuelides, Yann
3
2003
Digital implementation of ridgelet packets. Zbl 1087.65124
Flesia, A. G.; Hel-Or, H.; Averbuch, A.; Candès, E. J.; Coifman, R. R.; Donoho, D. L.
2
2003
The curvelet transform for image denoising. Zbl 1288.94011
Starck, Jean-Luc; Candès, Emmanuel J.; Donoho, David L.
98
2002
Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335
Candès, Emmanuel J.; Donoho, David L.
43
2002
Beamlets and multiscale image analysis. Zbl 1084.65134
Donoho, David L.; Huo, Xiaoming
24
2002
Atomic decomposition by basis pursuit. Zbl 0979.94010
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
281
2001
Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503
Donoho, David L.; Huo, Xiaoming
198
2001
Sparse components of images and optimal atomic decompositions. Zbl 0995.65150
Donoho, D. L.
58
2001
Curvelets and curvilinear integrals. Zbl 0989.42020
Candès, Emmanuel J.; Donoho, David L.
14
2001
Ridge functions and orthonormal ridgelets. Zbl 0982.42026
Donoho, David L.
11
2001
Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017
Donoho, David L.; Yu, Thomas P.-Y.
25
2000
Orthonormal ridgelets and linear singularities. Zbl 0952.42020
Donoho, David L.
24
2000
Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement. Zbl 0967.65120
Donoho, David L.; Dyn, Nira; Levin, David; Yu, Thomas P. Y.
8
2000
Atomic decomposition by basis pursuit. Zbl 0919.94002
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
497
1999
Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503
Candès, Emmanuel J.; Donoho, David L.
98
1999
Wedgelets: Nearly minimax estimation of edges. Zbl 0957.62029
Donoho, David L.
70
1999
Asymptotic minimaxity of wavelet estimators with sampled data. Zbl 1065.62518
Donoho, David L.; Johnstone, Iain M.
10
1999
Tight frames of \(k\)-plane ridgelets and the problem of representing objects that are smooth away from \(d\)-dimensional singularities in \(\mathbf R^n\). Zbl 0932.42023
Donoho, David L.
7
1999
On denoising and best signal representation. Zbl 0958.94008
Krim, Hamid; Tucker, Dewey; Mallat, Stéphane; Donoho, David
6
1999
Deslauriers-Dubuc: Ten years after. Zbl 0971.65008
Donoho, D. L.; Yu, Thomas P. Y.
3
1999
Minimax estimation via wavelet shrinkage. Zbl 0935.62041
Donoho, David L.; Johnstone, Iain M.
214
1998
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
39
1998
CART and best-ortho-basis: a connection. Zbl 0942.62044
Donoho, David L.
37
1997
Universal near minimaxity of wavelet shrinkage. Zbl 0891.62025
Donoho, D. L.; Johnstone, I. M.; Kerkyacharian, G.; Picard, D.
17
1997
Renormalizing experiments for nonlinear functionals. Zbl 0921.62058
Donoho, David L.
3
1997
Density estimation by wavelet thresholding. Zbl 0860.62032
Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique
279
1996
Unconditional bases and bit-level compression. Zbl 0936.62004
Donoho, David L.
23
1996
Neo-classical minimax problems, thresholding and adaptive function estimation. Zbl 0877.62035
Donoho, David L.; Johnstone, Iain M.
20
1996
Adapting to unknown smoothness via wavelet shrinkage. Zbl 0869.62024
Donoho, David L.; Johnstone, Iain M.
385
1995
De-noising by soft-thresholding. Zbl 0820.62002
Donoho, David L.
379
1995
Wavelet shrinkage: Asymptopia? Zbl 0827.62035
Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique
239
1995
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
149
1995
Translation-invariant de-noising. Zbl 0866.94008
Coifman, R. R.; Donoho, D. L.
104
1995
WaveLab and reproducible research. Zbl 0828.62001
Buckheit, Jonathan B.; Donoho, David L.
20
1995
Abstract statistical estimation and modern harmonic analysis. Zbl 0851.62027
Donoho, David L.
1
1995
Ideal spatial adaptation by wavelet shrinkage. Zbl 0815.62019
Donoho, David L.; Johnstone, Iain M.
798
1994
Minimax risk over \(l_ p\)-balls for \(l_ q\)-error. Zbl 0802.62006
Donoho, D. L.; Johnstone, I. M.
69
1994
Statistical estimation and optimal recovery. Zbl 0805.62014
Donoho, David L.
64
1994
...and 24 more Documents
all top 5

Cited by 8,400 Authors

44 Cai, Tony Tony
40 Donoho, David Leigh
37 Kutyniok, Gitta
32 Chesneau, Christophe
31 Shen, Zuowei
28 Arias-Castro, Ery
28 Candès, Emmanuel J.
27 Labate, Demetrio
26 Grohs, Philipp
26 Hall, Peter Gavin
25 Mejjaoli, Hatem
25 Osher, Stanley Joel
25 Tsybakov, Alexandre B.
25 Zuo, Yijun
23 Low, Mark G.
23 Rauhut, Holger
22 Efromovich, Sam
22 Fan, Jianqing
22 Steidl, Gabriele
21 Picard, Dominique B.
21 Rousseeuw, Peter J.
20 Fadili, Jalal M.
20 Juditsky, Anatoli B.
19 Cai, Jian-Feng
19 Jin, Jiashun
19 Kutz, J. Nathan
19 Pensky, Marianna
19 Peyré, Gabriel
19 Vidakovic, Brani
19 Xiu, Naihua
18 Amat, Sergio P.
18 Guo, Kanghui
18 Kerkyacharian, Gérard
18 Munk, Axel
18 Shestakov, O. V.
17 Wasserman, Larry Alan
16 Brunton, Steven L.
16 Elad, Michael
16 Nemirovski, Arkadi S.
15 Brown, Lawrence David
15 Chen, Wengu
15 Dong, Bin
15 Huang, Ting-Zhu
15 Johnstone, Iain Murray
15 Krahmer, Felix
15 Li, Linyuan
15 Li, Song
15 Peng, Jigen
15 Shen, Lixin
15 Tibshirani, Robert John
15 Yuan, Xiaoming
15 Zhang, Cun-Hui
14 Davies, Patrick Laurie
14 Feng, Xiangchu
14 Kong, Lingchen
14 Sapatinas, Theofanis
14 Verzelen, Nicolas
14 Zhou, Harrison H.
13 Antoniadis, Anestis
13 Coifman, Ronald Raphaël
13 Comte, Fabienne
13 Dalalyan, Arnak S.
13 Doosti, Hassan
13 Dyn, Nira
13 Lepskiĭ, Oleg Vital’evich
13 Liu, Youming
13 Needell, Deanna
13 Tibshirani, Ryan J.
13 Van de Geer, Sara Anna
13 Van der Vaart, Adrianus Willem
13 Weinmann, Andreas
12 Daubechies, Ingrid Chantal
12 Fornasier, Massimo
12 Gribonval, Rémi
12 Hansen, Anders C.
12 Huang, Jian
12 Hubert, Mia
12 Huo, Xiaoming
12 Ji, Hui
12 Mixon, Dustin G.
12 Singer, Amit
12 von Sachs, Rainer
12 Wainwright, Martin J.
12 Zhuang, Xiaosheng
11 Abramovich, Felix P.
11 Bigot, Jéremie
11 Chan, Raymond Hon-Fu
11 Dahlke, Stephan
11 Dümbgen, Lutz
11 Gijbels, Irène
11 Kou, Junke
11 Lim, Wang-Q
11 Lorenz, Dirk Alfred
11 Lou, Yifei
11 Loubes, Jean-Michel
11 Ma, Shiqian
11 Meinshausen, Nicolai
11 Saab, Rayan
11 Starck, Jean-Luc
11 Teschke, Gerd
...and 8,300 more Authors
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Cited in 556 Serials

454 The Annals of Statistics
322 Applied and Computational Harmonic Analysis
144 Electronic Journal of Statistics
128 Computational Statistics and Data Analysis
119 Journal of Statistical Planning and Inference
116 Statistics & Probability Letters
116 International Journal of Wavelets, Multiresolution and Information Processing
109 Journal of Multivariate Analysis
103 SIAM Journal on Imaging Sciences
83 Mathematical Problems in Engineering
81 Bernoulli
81 The Journal of Fourier Analysis and Applications
70 Journal of Mathematical Imaging and Vision
66 Journal of Computational and Applied Mathematics
65 Communications in Statistics. Theory and Methods
58 Pattern Recognition
58 Journal of Nonparametric Statistics
57 Inverse Problems
56 Computational Optimization and Applications
55 Mathematical Programming. Series A. Series B
47 Journal of the American Statistical Association
47 Statistical Science
47 Journal of Scientific Computing
46 Signal Processing
45 Circuits, Systems, and Signal Processing
43 Journal of Approximation Theory
43 Multidimensional Systems and Signal Processing
42 SIAM Journal on Scientific Computing
42 Journal of Machine Learning Research (JMLR)
41 Journal of Computational Physics
41 Neural Computation
41 Advances in Computational Mathematics
40 Foundations of Computational Mathematics
40 Inverse Problems and Imaging
38 Linear Algebra and its Applications
38 The Annals of Applied Statistics
37 Annals of the Institute of Statistical Mathematics
36 Automatica
36 Information Sciences
35 Journal of Mathematical Analysis and Applications
34 Applied Mathematics and Computation
33 SIAM Journal on Optimization
33 International Journal of Computer Vision
32 Numerical Algorithms
32 Computational Statistics
32 Computational & Mathematical Methods in Medicine
31 Journal of Statistical Computation and Simulation
30 Journal of Econometrics
30 Statistics and Computing
29 Probability Theory and Related Fields
28 Journal of the Franklin Institute
28 Journal of Optimization Theory and Applications
28 Machine Learning
27 Journal of the Royal Statistical Society. Series B. Statistical Methodology
27 Science China. Mathematics
25 Communications in Statistics. Simulation and Computation
25 Journal of Inequalities and Applications
24 Journal of Complexity
24 Constructive Approximation
24 Test
24 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics
22 Proceedings of the National Academy of Sciences of the United States of America
22 EURASIP Journal on Advances in Signal Processing
21 Computers & Mathematics with Applications
21 Mathematics of Computation
21 Journal of Applied Statistics
20 Statistics
20 Journal of Mathematical Sciences (New York)
19 Discrete & Computational Geometry
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19 SIAM Journal on Mathematics of Data Science
18 Journal of Global Optimization
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18 Inverse Problems in Science and Engineering
18 Science China. Information Sciences
18 Journal of the Operations Research Society of China
17 The Canadian Journal of Statistics
17 Computer Methods in Applied Mechanics and Engineering
17 Abstract and Applied Analysis
17 Journal of Applied Mathematics
17 Journal of Pseudo-Differential Operators and Applications
16 SIAM Journal on Matrix Analysis and Applications
16 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques
16 Statistical Papers
15 Journal of Fluid Mechanics
15 Multiscale Modeling & Simulation
15 Optimization Letters
14 Scandinavian Journal of Statistics
13 Journal of Functional Analysis
13 Numerical Functional Analysis and Optimization
13 Moscow University Computational Mathematics and Cybernetics
13 Econometric Theory
13 Comptes Rendus. Mathématique. Académie des Sciences, Paris
13 Journal of the Korean Statistical Society
12 Applicable Analysis
12 Communications on Pure and Applied Mathematics
12 Applied Numerical Mathematics
...and 456 more Serials
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Cited in 61 Fields

2,687 Statistics (62-XX)
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807 Operations research, mathematical programming (90-XX)
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227 Linear and multilinear algebra; matrix theory (15-XX)
219 Approximations and expansions (41-XX)
194 Functional analysis (46-XX)
184 Calculus of variations and optimal control; optimization (49-XX)
171 Systems theory; control (93-XX)
142 Operator theory (47-XX)
130 Partial differential equations (35-XX)
88 Integral transforms, operational calculus (44-XX)
77 Combinatorics (05-XX)
75 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
73 Fluid mechanics (76-XX)
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8 History and biography (01-XX)
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3 Commutative algebra (13-XX)
3 Mathematics education (97-XX)
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2 Sequences, series, summability (40-XX)
1 Field theory and polynomials (12-XX)
1 Category theory; homological algebra (18-XX)
1 Relativity and gravitational theory (83-XX)

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