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## Donoho, David Leigh

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 Author ID: donoho.david-l Published as: Donoho, D. L.; Donoho, David; Donoho, David L. Homepage: https://statistics.stanford.edu/people/david-donoho External Links: MGP · Wikidata Awards: Carl Friedrich Gauss Prize (2018)
 Documents Indexed: 132 Publications since 1981
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#### Co-Authors

 29 single-authored 16 Johnstone, Iain M. 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 Levi, Ofer 2 Mallat, Stephane Georges 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 Grimes, Carrie 1 Hel-Or, H. Z. 1 Hoch, Jeffrey C. 1 Huber, Peter Jost 1 Jafarpour, Sina 1 Javanmard, Adel 1 Krim, Hamid 1 Kutyniok, Gitta 1 Levin, David N. 1 Logan, Benjamin F. 1 Low, Mark G. 1 Lund, Carsten 1 MacGibbon, Brenda 1 Maleki, Arian 1 Martínez, Vicent J. 1 Monajemi, Hatef 1 Moudden, Yassir 1 Murtagh, Fionn D. 1 Nussbaum, Michael 1 Paxson, Vern 1 Rahman, Inam Ur 1 Roughan, Matthew 1 Saar, Enn 1 Samuelides, Yann 1 Schclar, Alon 1 Schröder, Peter 1 Sedelnikov, Ilya 1 Shankar, Umesh 1 Staniford, Stuart 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
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#### Serials

 22 The Annals of Statistics 16 IEEE Transactions on Information Theory 8 Applied and Computational Harmonic Analysis 7 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 Bernoulli 1 Network: Computation in Neural Systems 1 Biostatistics 1 The ANZIAM Journal 1 1 Journal de la Société Française de Statistique
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#### Fields

 62 Statistics (62-XX) 56 Information and communication theory, circuits (94-XX) 40 Harmonic analysis on Euclidean spaces (42-XX) 25 Numerical analysis (65-XX) 17 Approximations and expansions (41-XX) 16 Computer science (68-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) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Differential geometry (53-XX) 2 Astronomy and astrophysics (85-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

122 Publications have been cited 8,896 times in 5,212 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
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
Atomic decomposition by basis pursuit. Zbl 0979.94010
Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A.
2001
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
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
Minimax estimation via wavelet shrinkage. Zbl 0935.62041
Donoho, David L.; Johnstone, Iain M.
1998
Uncertainty principles and signal recovery. Zbl 0689.42001
Donoho, David L.; Stark, Philip B.
1989
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
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
Breakdown properties of location estimates based on halfspace depth and projected outlyingness. Zbl 0776.62031
1992
Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117
Donoho, David L.
1995
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
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
2006
The notion of breakdown point. Zbl 0523.62032
Donoho, David L.; Huber, Peter J.
1983
Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005
Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M.
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
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
Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012
Starck, Jean-Luc; Elad, Michael; Donoho, David L.
2005
Wedgelets: Nearly minimax estimation of edges. Zbl 0957.62029
Donoho, David L.
1999
Geometrizing rates of convergence. III. Zbl 0754.62029
Donoho, David L.; Liu, Richard C.
1991
Minimax risk over hyperrectangles, and implications. Zbl 0705.62018
Donoho, David L.; Liu, Richard C.; MacGibbon, Brenda
1990
Minimax risk over $$l_ p$$-balls for $$l_ q$$-error. Zbl 0802.62006
Donoho, D. L.; Johnstone, I. M.
1994
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
Geometrizing rates of convergence. II. Zbl 0754.62028
Donoho, David L.; Liu, Richard C.
1991
Statistical estimation and optimal recovery. Zbl 0805.62014
Donoho, David L.
1994
Fast solution of $$\ell_1$$-norm minimization problems when the solution may be sparse. Zbl 1247.94009
Donoho, David L.; Tsaig, Yaakov
2008
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
Sparse components of images and optimal atomic decompositions. Zbl 0995.65150
Donoho, D. L.
2001
Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083
Donoho, David L.
1993
Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023
Candès, Emmanuel J.; Donoho, David L.
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
Multiscale representations for manifold-valued data. Zbl 1236.65166
Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter
2005
Superresolution via sparsity constraints. Zbl 0769.42007
Donoho, David L.
1992
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
Extensions of compressed sensing. Zbl 1163.94399
Tsaig, Yaakov; Donoho, David L.
2006
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500
Donoho, David L.
2006
Donoho, David L.; Nussbaum, Michael
1990
Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014
Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming
2005
Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335
Candès, Emmanuel J.; Donoho, David L.
2002
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
Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212
Donoho, David; Jin, Jiashun
2008
The optimal hard threshold for singular values is $$4/\sqrt 3$$. Zbl 1360.94071
Gavish, Matan; Donoho, David L.
2014
Signal recovery and the large sieve. Zbl 0768.42001
Donoho, D. L.; Logan, B. F.
1992
Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004
Donoho, David L.; Tanner, Jared
2010
CART and best-ortho-basis: A connection. Zbl 0942.62044
Donoho, David L.
1997
Microlocal analysis of the geometric separation problem. Zbl 1261.94007
Donoho, David; Kutyniok, Gitta
2013
Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery. Zbl 0802.62007
Donoho, D. L.
1994
Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data. Zbl 0786.62094
Donoho, David L.
1993
Beamlets and multiscale image analysis. Zbl 1084.65134
Donoho, David L.; Huo, Xiaoming
2002
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
Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017
Donoho, David L.; Yu, Thomas P.-Y.
2000
Unconditional bases and bit-level compression. Zbl 0936.62004
Donoho, David L.
1996
Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113
Donoho, David; Jin, Jiashun
2009
Pathologies of some minimum distance estimators. Zbl 0684.62029
Donoho, David L.; Liu, Richard C.
1988
Neo-classical minimax problems, thresholding and adaptive function estimation. Zbl 0877.62035
Donoho, David L.; Johnstone, Iain M.
1996
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
Ideal denoising in an orthonormal basis chosen from a library of bases. Zbl 0819.94007
Donoho, David L.; Johnstone, Iain M.
1994
Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019
Donoho, David; Jin, Jiashun
2015
On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329
2006
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
WaveLab and reproducible research. Zbl 0828.62001
Buckheit, Jonathan B.; Donoho, David L.
1995
Smooth wavelet decompositions with blocky coefficient kernels. Zbl 0813.42020
Donoho, David L.
1994
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
High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220
Donoho, David; Montanari, Andrea
2016
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
Optimal shrinkage of singular values. Zbl 1366.94100
Gavish, Matan; Donoho, David L.
2017
Fast and accurate polar Fourier transform. Zbl 1107.65127
Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M.
2006
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
Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014
Donoho, David; Gavish, Matan
2014
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
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
Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099
Donoho, David; Gavish, Matan; Johnstone, Iain
2018
Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009
Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L.
2007
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
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
Breakdown of equivalence between the minimal $$\ell^1$$-norm solution and the sparsest solution. Zbl 1163.94398
Tsaig, Yaakov; Donoho, David L.
2006
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
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
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
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
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
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
Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120
Donoho, David L.; Javanmard, Adel; 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
Fast discrete curvelet transforms. Zbl 1122.65134
Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing
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
Extensions of compressed sensing. Zbl 1163.94399
Tsaig, Yaakov; Donoho, David L.
2006
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500
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
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
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
A fast wavelet algorithm for image deblurring. Zbl 1078.65573
Donoho, D. L.; Raimondo, M. E.
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
Orthonormal ridgelets and linear singularities. Zbl 0952.42020
Donoho, David L.
2000
Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017
Donoho, David L.; Yu, Thomas P.-Y.
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
Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery. Zbl 0802.62007
Donoho, D. L.
1994
Ideal denoising in an orthonormal basis chosen from a library of bases. Zbl 0819.94007
Donoho, David L.; Johnstone, Iain M.
1994
...and 22 more Documents
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#### Cited by 7,683 Authors

 43 Cai, Tony Tony 37 Donoho, David Leigh 35 Kutyniok, Gitta 31 Shen, Zuowei 30 Chesneau, Christophe 26 Candès, Emmanuel J. 26 Labate, Demetrio 25 Arias-Castro, Ery 25 Grohs, Philipp 24 Hall, Peter Gavin 24 Osher, Stanley Joel 23 Low, Mark G. 23 Zuo, Yijun 22 Efromovich, Sam 21 Picard, Dominique B. 21 Tsybakov, Alexandre B. 20 Juditsky, Anatoli B. 20 Rauhut, Holger 20 Steidl, Gabriele 19 Amat, Sergio P. 19 Fadili, Jalal M. 19 Pensky, Marianna 19 Rousseeuw, Peter J. 18 Kerkyacharian, Gérard 18 Mejjaoli, Hatem 18 Peyré, Gabriel 18 Shestakov, O. V. 17 Cai, Jian-Feng 17 Guo, Kanghui 17 Jin, Jiashun 17 Vidakovic, Brani 17 Xiu, Naihua 16 Nemirovski, Arkadi S. 16 Wasserman, Larry Alan 15 Fan, Jianqing 15 Huang, Ting-Zhu 15 Kutz, J. Nathan 15 Tibshirani, Robert John 14 Averbuch, Amir Z. 14 Brown, Lawrence David 14 Elad, Michael 14 Johnstone, Iain M. 14 Li, Linyuan 14 Li, Song 14 Munk, Axel 14 Sapatinas, Theofanis 14 Yuan, Xiaoming 13 Coifman, Ronald Raphaël 13 Comte, Fabienne 13 Davies, Patrick Laurie 13 Feng, Xiangchu 13 Kong, Lingchen 13 Liu, Youming 13 Shen, Lixin 13 Zhang, Cun-Hui 13 Zhou, Harrison H. 12 Antoniadis, Anestis 12 Brunton, Steven L. 12 Daubechies, Ingrid Chantal 12 Dong, Bin 12 Gribonval, Rémi 12 Hubert, Mia 12 Huo, Xiaoming 12 Ji, Hui 12 Lepskiĭ, Oleg Vital’evich 12 Peng, Jigen 12 Tibshirani, Ryan J. 12 Van de Geer, Sara Anna 12 Van der Vaart, Adrianus Willem 12 Verzelen, Nicolas 12 Weinmann, Andreas 11 Abramovich, Felix P. 11 Baraniuk, Richard G. 11 Dahlke, Stephan 11 Dalalyan, Arnak S. 11 Doosti, Hassan 11 Dyn, Nira 11 Fornasier, Massimo 11 Hansen, Anders C. 11 Krahmer, Felix 11 Lim, Wang-Q 11 Ma, Shiqian 11 Meinshausen, Nicolai 11 Montanari, Andrea 11 Needell, Deanna 11 Serfling, Robert J. 11 Teschke, Gerd 11 Trillo, Juan Carlos 11 Vybíral, Jan 11 Wainwright, Martin J. 10 Burger, Martin 10 Chan, Raymond Hon-Fu 10 DeVore, Ronald A. 10 Dümbgen, Lutz 10 Gijbels, Irène 10 Han, Bin 10 Liandrat, Jacques 10 Lorenz, Dirk Alfred 10 Nikolova, Mila 10 Saab, Rayan ...and 7,583 more Authors
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#### Cited in 497 Serials

 410 The Annals of Statistics 312 Applied and Computational Harmonic Analysis 134 Electronic Journal of Statistics 122 Journal of Statistical Planning and Inference 116 Computational Statistics and Data Analysis 115 Statistics & Probability Letters 110 International Journal of Wavelets, Multiresolution and Information Processing 107 Journal of Multivariate Analysis 89 SIAM Journal on Imaging Sciences 76 Mathematical Problems in Engineering 72 The Journal of Fourier Analysis and Applications 69 Bernoulli 63 Journal of Computational and Applied Mathematics 59 Pattern Recognition 53 Journal of Nonparametric Statistics 52 Journal of Mathematical Imaging and Vision 52 Computational Optimization and Applications 49 Mathematical Programming. Series A. Series B 48 Communications in Statistics. Theory and Methods 46 Journal of the American Statistical Association 46 Signal Processing 43 Circuits, Systems, and Signal Processing 42 Journal of Approximation Theory 42 Multidimensional Systems and Signal Processing 41 Journal of Scientific Computing 40 Neural Computation 38 Inverse Problems 38 Foundations of Computational Mathematics 37 Journal of Computational Physics 37 Journal of Machine Learning Research (JMLR) 36 Statistical Science 35 Linear Algebra and its Applications 35 Advances in Computational Mathematics 35 The Annals of Applied Statistics 34 Automatica 34 Information Sciences 33 Journal of Mathematical Analysis and Applications 33 Annals of the Institute of Statistical Mathematics 33 Computational & Mathematical Methods in Medicine 32 Applied Mathematics and Computation 31 Inverse Problems and Imaging 30 Probability Theory and Related Fields 29 Journal of Econometrics 29 Journal of Statistical Computation and Simulation 28 Computational Statistics 28 SIAM Journal on Optimization 28 Statistics and Computing 27 SIAM Journal on Scientific Computing 27 Journal of the Royal Statistical Society. Series B. Statistical Methodology 26 Journal of the Franklin Institute 25 Science China. Mathematics 24 Numerical Algorithms 24 European Series in Applied and Industrial Mathematics (ESAIM): Probability and Statistics 23 Journal of Optimization Theory and Applications 23 Journal of Complexity 22 EURASIP Journal on Advances in Signal Processing 21 Mathematics of Computation 21 Constructive Approximation 21 Communications in Statistics. Simulation and Computation 21 Test 20 Computers & Mathematics with Applications 20 Machine Learning 20 Proceedings of the National Academy of Sciences of the United States of America 19 Journal of Mathematical Sciences (New York) 19 Optimization Methods & Software 18 Neural Networks 18 Mathematical Methods of Statistics 18 International Journal of Computer Vision 18 Statistical Methodology 18 Science China. Information Sciences 17 The Canadian Journal of Statistics 17 Discrete & Computational Geometry 17 Abstract and Applied Analysis 17 Journal of Applied Mathematics 15 Statistics 15 Journal of Inequalities and Applications 15 Multiscale Modeling & Simulation 14 Scandinavian Journal of Statistics 14 Statistical Papers 14 Optimization Letters 14 Journal of the Operations Research Society of China 13 Journal of Fluid Mechanics 13 Journal of Global Optimization 13 Annales de l’Institut Henri Poincaré. Probabilités et Statistiques 13 Comptes Rendus. Mathématique. Académie des Sciences, Paris 13 Algorithms 12 Applicable Analysis 12 Communications on Pure and Applied Mathematics 12 Moscow University Computational Mathematics and Cybernetics 12 Journal of Applied Statistics 12 Econometric Theory 11 Journal of Functional Analysis 11 Stochastic Processes and their Applications 11 Signal, Image and Video Processing 11 Journal of Pseudo-Differential Operators and Applications 11 Information and Inference 10 Numerical Functional Analysis and Optimization 10 Computational Geosciences 10 Journal of Statistical Mechanics: Theory and Experiment 10 Mathematical Geosciences ...and 397 more Serials
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#### Cited in 61 Fields

 2,362 Statistics (62-XX) 1,386 Numerical analysis (65-XX) 1,364 Information and communication theory, circuits (94-XX) 830 Harmonic analysis on Euclidean spaces (42-XX) 734 Computer science (68-XX) 677 Operations research, mathematical programming (90-XX) 351 Probability theory and stochastic processes (60-XX) 211 Biology and other natural sciences (92-XX) 199 Approximations and expansions (41-XX) 178 Linear and multilinear algebra; matrix theory (15-XX) 166 Functional analysis (46-XX) 161 Calculus of variations and optimal control; optimization (49-XX) 153 Systems theory; control (93-XX) 112 Operator theory (47-XX) 111 Partial differential equations (35-XX) 75 Integral transforms, operational calculus (44-XX) 68 Combinatorics (05-XX) 65 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 62 Fluid mechanics (76-XX) 59 Abstract harmonic analysis (43-XX) 54 Geophysics (86-XX) 49 Convex and discrete geometry (52-XX) 43 Dynamical systems and ergodic theory (37-XX) 39 Quantum theory (81-XX) 32 Integral equations (45-XX) 29 Real functions (26-XX) 27 Ordinary differential equations (34-XX) 26 Differential geometry (53-XX) 25 Global analysis, analysis on manifolds (58-XX) 22 Mechanics of deformable solids (74-XX) 20 Number theory (11-XX) 20 Special functions (33-XX) 20 Statistical mechanics, structure of matter (82-XX) 19 Topological groups, Lie groups (22-XX) 18 Optics, electromagnetic theory (78-XX) 17 Functions of a complex variable (30-XX) 16 Measure and integration (28-XX) 14 Astronomy and astrophysics (85-XX) 11 Geometry (51-XX) 10 General and overarching topics; collections (00-XX) 10 Group theory and generalizations (20-XX) 9 Algebraic geometry (14-XX) 9 Mechanics of particles and systems (70-XX) 8 History and biography (01-XX) 8 Manifolds and cell complexes (57-XX) 7 Algebraic topology (55-XX) 4 Associative rings and algebras (16-XX) 4 Difference and functional equations (39-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Mathematical logic and foundations (03-XX) 3 General topology (54-XX) 2 Order, lattices, ordered algebraic structures (06-XX) 2 Commutative algebra (13-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Several complex variables and analytic spaces (32-XX) 2 Sequences, series, summability (40-XX) 2 Mathematics education (97-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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