## Donoho, David Leigh

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 Author ID: donoho.david-l Published as: Donoho, David L.; Donoho, David; Donoho, D. L. more...less Homepage: https://statistics.stanford.edu/people/david-donoho External Links: MGP · Wikidata Awards: Carl Friedrich Gauss Prize (2018)
 Documents Indexed: 136 Publications since 1981 1 Contribution as Editor Co-Authors: 80 Co-Authors with 108 Joint Publications 2,035 Co-Co-Authors
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### 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
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### 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
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### Fields

 65 Statistics (62-XX) 58 Information and communication theory, circuits (94-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 25 Numerical analysis (65-XX) 19 Computer science (68-XX) 17 Approximations and expansions (41-XX) 9 Probability theory and stochastic processes (60-XX) 8 Integral transforms, operational calculus (44-XX) 6 Biology and other natural sciences (92-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Operations research, mathematical programming (90-XX) 4 Convex and discrete geometry (52-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX)

### 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.
1994
Atomic decomposition by basis pursuit. Zbl 0919.94002
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
1999
Adapting to unknown smoothness via wavelet shrinkage. Zbl 0869.62024
Donoho, David L.; Johnstone, Iain M.
1995
De-noising by soft-thresholding. Zbl 0820.62002
Donoho, David L.
1995
Atomic decomposition by basis pursuit. Zbl 0979.94010
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
2001
Density estimation by wavelet thresholding. Zbl 0860.62032
Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique
1996
Optimally sparse representation in general (nonorthogonal) dictionaries via $$\ell^1$$ minimization. Zbl 1064.94011
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
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.
2004
Wavelet shrinkage: Asymptopia? Zbl 0827.62035
Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique
1995
Uncertainty principles and signal recovery. Zbl 0689.42001
Donoho, David L.; Stark, Philip B.
1989
Minimax estimation via wavelet shrinkage. Zbl 0935.62041
Donoho, David L.; Johnstone, Iain M.
1998
Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017
2006
Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503
Donoho, David L.; Huo, Xiaoming
2001
Breakdown properties of location estimates based on halfspace depth and projected outlyingness. Zbl 0776.62031
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.
2006
Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051
Donoho, David; Jin, Jiashun
2004
Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337
Donoho, David L.; Grimes, Carrie
2003
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
1995
Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005
Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M.
2006
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
2006
Translation-invariant de-noising. Zbl 0866.94008
Coifman, R. R.; Donoho, D. L.
1995
Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503
Candès, Emmanuel J.; Donoho, David L.
1999
The curvelet transform for image denoising. Zbl 1288.94011
Starck, Jean-Luc; Candès, Emmanuel J.; Donoho, David L.
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.
2005
The notion of breakdown point. Zbl 0523.62032
Donoho, David L.; Huber, Peter J.
1983
Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012
Starck, Jean-Luc; Elad, Michael; Donoho, David L.
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
2012
Minimax risk over hyperrectangles, and implications. Zbl 0705.62018
Donoho, David L.; Liu, Richard C.; MacGibbon, Brenda
1990
Wedgelets: Nearly minimax estimation of edges. Zbl 0957.62029
Donoho, David L.
1999
Minimax risk over $$l_ p$$-balls for $$l_ q$$-error. Zbl 0802.62006
Donoho, D. L.; Johnstone, I. M.
1994
Geometrizing rates of convergence. II. Zbl 0754.62028
Donoho, David L.; Liu, Richard C.
1991
Geometrizing rates of convergence. III. Zbl 0754.62029
Donoho, David L.; Liu, Richard C.
1991
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
2005
The “automatic” robustness of minimum distance functionals. Zbl 0684.62030
Donoho, David L.; Liu, Richard C.
1988
Statistical estimation and optimal recovery. Zbl 0805.62014
Donoho, David L.
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.
1992
Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
Donoho, David L.
1993
Fast solution of $$\ell_1$$-norm minimization problems when the solution may be sparse. Zbl 1247.94009
Donoho, David L.; Tsaig, Yaakov
2008
Sparse components of images and optimal atomic decompositions. Zbl 0995.65150
Donoho, D. L.
2001
Superresolution via sparsity constraints. Zbl 0769.42007
Donoho, David L.
1992
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
2005
Multiscale representations for manifold-valued data. Zbl 1236.65166
Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter
2005
Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010
Donoho, David L.; Tanner, Jared
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
2009
Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300
Donoho, David L.; Tanner, Jared
2005
One-sided inference about functionals of a density. Zbl 0665.62040
Donoho, David L.
1988
Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014
Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming
2005
The optimal hard threshold for singular values is $$4/\sqrt 3$$. Zbl 1360.94071
Gavish, Matan; Donoho, David L.
2014
Donoho, David L.; Nussbaum, Michael
1990
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500
Donoho, David L.
2006
Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335
Candès, Emmanuel J.; Donoho, David L.
2002
Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212
Donoho, David; Jin, Jiashun
2008
Extensions of compressed sensing. Zbl 1163.94399
Tsaig, Yaakov; Donoho, David L.
2006
Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004
Donoho, David L.; Tanner, Jared
2010
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
1998
Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032
Donoho, David L.; Low, Mark G.
1992
CART and best-ortho-basis: a connection. Zbl 0942.62044
Donoho, David L.
1997
Signal recovery and the large sieve. Zbl 0768.42001
Donoho, D. L.; Logan, B. F.
1992
Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099
Donoho, David; Gavish, Matan; Johnstone, Iain
2018
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta
2013
High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220
Donoho, David; Montanari, Andrea
2016
Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data. Zbl 0786.62094
Donoho, David L.
1993
Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019
Donoho, David; Jin, Jiashun
2015
Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery. Zbl 0802.62007
Donoho, D. L.
1994
Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014
Donoho, David; Gavish, Matan
2014
Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017
Donoho, David L.; Yu, Thomas P.-Y.
2000
Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113
Donoho, David; Jin, Jiashun
2009
Orthonormal ridgelets and linear singularities. Zbl 0952.42020
Donoho, David L.
2000
Projection-based approximation and a duality with kernel methods. Zbl 0699.62067
Donoho, David L.; Johnstone, Iain M.
1989
Beamlets and multiscale image analysis. Zbl 1084.65134
Donoho, David L.; Huo, Xiaoming
2002
Unconditional bases and bit-level compression. Zbl 0936.62004
Donoho, David L.
1996
Optimal shrinkage of singular values. Zbl 1366.94100
Gavish, Matan; Donoho, David L.
2017
Pathologies of some minimum distance estimators. Zbl 0684.62029
Donoho, David L.; Liu, Richard C.
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
2013
The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094
Donoho, David L.; Maleki, Arian; Montanari, Andrea
2011
WaveLab and reproducible research. Zbl 0828.62001
Buckheit, Jonathan B.; Donoho, David L.
1995
Neo-classical minimax problems, thresholding and adaptive function estimation. Zbl 0877.62035
Donoho, David L.; Johnstone, Iain M.
1996
Ideal denoising in an orthonormal basis chosen from a library of bases. Zbl 0819.94007
Donoho, David L.; Johnstone, Iain M.
1994
On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329
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
2006
Universal near minimaxity of wavelet shrinkage. Zbl 0891.62025
Donoho, D. L.; Johnstone, I. M.; Kerkyacharian, G.; Picard, D.
1997
On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007
Donoho, D. L.; Elad, M.; Temlyakov, V. N.
2007
Translation invariant deconvolution in a periodic setting. Zbl 1071.62088
Donoho, David L.; Raimondo, Marc E.
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.
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.
2005
Fast and accurate polar Fourier transform. Zbl 1107.65127
Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M.
2006
Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010
Donoho, David; Jin, Jiashun
2006
Curvelets and curvilinear integrals. Zbl 0989.42020
Candès, Emmanuel J.; Donoho, David L.
2001
Smooth wavelet decompositions with blocky coefficient kernels. Zbl 0813.42020
Donoho, David L.
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.
2008
Ridge functions and orthonormal ridgelets. Zbl 0982.42026
Donoho, David L.
2001
Asymptotic minimaxity of wavelet estimators with sampled data. Zbl 1065.62518
Donoho, David L.; Johnstone, Iain M.
1999
Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009
Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L.
2007
Image manifolds which are isometric to Euclidean space. Zbl 1478.62186
Donoho, David L.; Grimes, Carrie
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.
2008
Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120
Donoho, David L.; Javanmard, Adel; Montanari, Andrea
2013
Breakdown of equivalence between the minimal $$\ell^1$$-norm solution and the sparsest solution. Zbl 1163.94398
Tsaig, Yaakov; Donoho, David L.
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.
2013
Higher criticism to compare two large frequency tables, with sensitivity to possible rare and weak differences. Zbl 07547937
Donoho, David L.; Kipnis, Alon
2022
Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099
Donoho, David; Gavish, Matan; Johnstone, Iain
2018
Optimal shrinkage of singular values. Zbl 1366.94100
Gavish, Matan; Donoho, David L.
2017
High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220
Donoho, David; Montanari, Andrea
2016
Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019
Donoho, David; Jin, Jiashun
2015
The optimal hard threshold for singular values is $$4/\sqrt 3$$. Zbl 1360.94071
Gavish, Matan; Donoho, David L.
2014
Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014
Donoho, David; Gavish, Matan
2014
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta
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
2013
Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120
Donoho, David L.; Javanmard, Adel; Montanari, Andrea
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.
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
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
2012
The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094
Donoho, David L.; Maleki, Arian; Montanari, Andrea
2011
Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004
Donoho, David L.; Tanner, Jared
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
2010
An invitation to reproducible computational research. Zbl 1437.62445
Donoho, David L.
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
2009
Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010
Donoho, David L.; Tanner, Jared
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
2009
Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113
Donoho, David; Jin, Jiashun
2009
Does median filtering truly preserve edges better than linear filtering? Zbl 1160.62086
Arias-Castro, Ery; Donoho, David L.
2009
Fast solution of $$\ell_1$$-norm minimization problems when the solution may be sparse. Zbl 1247.94009
Donoho, David L.; Tsaig, Yaakov
2008
Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212
Donoho, David; Jin, Jiashun
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.
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.
2008
On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007
Donoho, D. L.; Elad, M.; Temlyakov, V. N.
2007
Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009
Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L.
2007
Compressed sensing. Zbl 1288.94016
Donoho, David L.
2006
Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017
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.
2006
Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005
Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M.
2006
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
2006
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500
Donoho, David L.
2006
Extensions of compressed sensing. Zbl 1163.94399
Tsaig, Yaakov; Donoho, David L.
2006
On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329
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
2006
Fast and accurate polar Fourier transform. Zbl 1107.65127
Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M.
2006
Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010
Donoho, David; Jin, Jiashun
2006
Breakdown of equivalence between the minimal $$\ell^1$$-norm solution and the sparsest solution. Zbl 1163.94398
Tsaig, Yaakov; Donoho, David L.
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.
2005
Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012
Starck, Jean-Luc; Elad, Michael; Donoho, David L.
2005
Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022
Candès, Emmanuel J.; Donoho, David L.
2005
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
2005
Multiscale representations for manifold-valued data. Zbl 1236.65166
Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter
2005
Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300
Donoho, David L.; Tanner, Jared
2005
Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014
Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming
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.
2005
Image manifolds which are isometric to Euclidean space. Zbl 1478.62186
Donoho, David L.; Grimes, Carrie
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.
2005
A fast wavelet algorithm for image deblurring. Zbl 1078.65573
Donoho, D. L.; Raimondo, M. E.
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.
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.
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.
2004
Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051
Donoho, David; Jin, Jiashun
2004
Translation invariant deconvolution in a periodic setting. Zbl 1071.62088
Donoho, David L.; Raimondo, Marc E.
2004
Fast X-ray and beamlet transforms for three-dimensional data. Zbl 1070.65133
Donoho, David L.; Levi, Ofer
2004
Beamlab and reproducible research. Zbl 1104.68839
Donoho, David L.; Huo, Xiaoming
2004
Optimally sparse representation in general (nonorthogonal) dictionaries via $$\ell^1$$ minimization. Zbl 1064.94011
2003
Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337
Donoho, David L.; Grimes, Carrie
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.
2003
Digital ridgelet transform based on true ridge functions. Zbl 1087.65123
Donoho, D. L.; Flesia, A. G.
2003
Locally stationary covariance and signal estimation with macrotiles. Zbl 1369.94132
Donoho, David L.; Mallat, Stéphane; von Sachs, Rainer; Samuelides, Yann
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.
2003
The curvelet transform for image denoising. Zbl 1288.94011
Starck, Jean-Luc; Candès, Emmanuel J.; Donoho, David L.
2002
Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335
Candès, Emmanuel J.; Donoho, David L.
2002
Beamlets and multiscale image analysis. Zbl 1084.65134
Donoho, David L.; Huo, Xiaoming
2002
Atomic decomposition by basis pursuit. Zbl 0979.94010
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
2001
Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503
Donoho, David L.; Huo, Xiaoming
2001
Sparse components of images and optimal atomic decompositions. Zbl 0995.65150
Donoho, D. L.
2001
Curvelets and curvilinear integrals. Zbl 0989.42020
Candès, Emmanuel J.; Donoho, David L.
2001
Ridge functions and orthonormal ridgelets. Zbl 0982.42026
Donoho, David L.
2001
Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017
Donoho, David L.; Yu, Thomas P.-Y.
2000
Orthonormal ridgelets and linear singularities. Zbl 0952.42020
Donoho, David L.
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.
2000
Atomic decomposition by basis pursuit. Zbl 0919.94002
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
1999
Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503
Candès, Emmanuel J.; Donoho, David L.
1999
Wedgelets: Nearly minimax estimation of edges. Zbl 0957.62029
Donoho, David L.
1999
Asymptotic minimaxity of wavelet estimators with sampled data. Zbl 1065.62518
Donoho, David L.; Johnstone, Iain M.
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.
1999
On denoising and best signal representation. Zbl 0958.94008
Krim, Hamid; Tucker, Dewey; Mallat, Stéphane; Donoho, David
1999
Deslauriers-Dubuc: Ten years after. Zbl 0971.65008
Donoho, D. L.; Yu, Thomas P. Y.
1999
Minimax estimation via wavelet shrinkage. Zbl 0935.62041
Donoho, David L.; Johnstone, Iain M.
1998
Data compression and harmonic analysis. Zbl 1125.94311
Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid
1998
CART and best-ortho-basis: a connection. Zbl 0942.62044
Donoho, David L.
1997
Universal near minimaxity of wavelet shrinkage. Zbl 0891.62025
Donoho, D. L.; Johnstone, I. M.; Kerkyacharian, G.; Picard, D.
1997
Renormalizing experiments for nonlinear functionals. Zbl 0921.62058
Donoho, David L.
1997
Density estimation by wavelet thresholding. Zbl 0860.62032
Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique
1996
Unconditional bases and bit-level compression. Zbl 0936.62004
Donoho, David L.
1996
Neo-classical minimax problems, thresholding and adaptive function estimation. Zbl 0877.62035
Donoho, David L.; Johnstone, Iain M.
1996
Adapting to unknown smoothness via wavelet shrinkage. Zbl 0869.62024
Donoho, David L.; Johnstone, Iain M.
1995
De-noising by soft-thresholding. Zbl 0820.62002
Donoho, David L.
1995
Wavelet shrinkage: Asymptopia? Zbl 0827.62035
Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique
1995
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
1995
Translation-invariant de-noising. Zbl 0866.94008
Coifman, R. R.; Donoho, D. L.
1995
WaveLab and reproducible research. Zbl 0828.62001
Buckheit, Jonathan B.; Donoho, David L.
1995
Abstract statistical estimation and modern harmonic analysis. Zbl 0851.62027
Donoho, David L.
1995
Ideal spatial adaptation by wavelet shrinkage. Zbl 0815.62019
Donoho, David L.; Johnstone, Iain M.
1994
Minimax risk over $$l_ p$$-balls for $$l_ q$$-error. Zbl 0802.62006
Donoho, D. L.; Johnstone, I. M.
1994
Statistical estimation and optimal recovery. Zbl 0805.62014
Donoho, David L.
1994
...and 24 more Documents
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### 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 19 Neural Networks 19 Optimization Methods & Software 19 Journal of Computational and Graphical Statistics 19 SIAM Journal on Mathematics of Data Science 18 Journal of Global Optimization 18 Mathematical Methods of Statistics 18 Statistical Methodology 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) 1,548 Numerical analysis (65-XX) 1,531 Information and communication theory, circuits (94-XX) 927 Harmonic analysis on Euclidean spaces (42-XX) 881 Computer science (68-XX) 807 Operations research, mathematical programming (90-XX) 406 Probability theory and stochastic processes (60-XX) 243 Biology and other natural sciences (92-XX) 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) 72 Abstract harmonic analysis (43-XX) 59 Convex and discrete geometry (52-XX) 59 Geophysics (86-XX) 51 Dynamical systems and ergodic theory (37-XX) 44 Quantum theory (81-XX) 35 Real functions (26-XX) 34 Ordinary differential equations (34-XX) 34 Integral equations (45-XX) 33 Differential geometry (53-XX) 28 Number theory (11-XX) 28 Global analysis, analysis on manifolds (58-XX) 27 Statistical mechanics, structure of matter (82-XX) 25 Functions of a complex variable (30-XX) 25 Special functions (33-XX) 25 Mechanics of deformable solids (74-XX) 24 Optics, electromagnetic theory (78-XX) 21 Topological groups, Lie groups (22-XX) 18 Measure and integration (28-XX) 15 Astronomy and astrophysics (85-XX) 14 Geometry (51-XX) 11 General and overarching topics; collections (00-XX) 11 Algebraic geometry (14-XX) 11 Group theory and generalizations (20-XX) 10 Mechanics of particles and systems (70-XX) 9 Algebraic topology (55-XX) 9 Manifolds and cell complexes (57-XX) 8 History and biography (01-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Difference and functional equations (39-XX) 4 Associative rings and algebras (16-XX) 4 General topology (54-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 3 Mathematics education (97-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 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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