Edit Profile Donoho, David Leigh Compute Distance To: Compute 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 all top 5 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 all top 5 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 all top 5 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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH 122 Publications have been cited 8,904 times in 5,219 Documents Cited by ▼ Year ▼ Compressed sensing. Zbl 1288.94016Donoho, David L. 1,058 2006 Ideal spatial adaptation by wavelet shrinkage. Zbl 0815.62019Donoho, David L.; Johnstone, Iain M. 731 1994 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 476 1999 Adapting to unknown smoothness via wavelet shrinkage. Zbl 0869.62024Donoho, David L.; Johnstone, Iain M. 355 1995 De-noising by soft-thresholding. Zbl 0820.62002Donoho, David L. 337 1995 Density estimation by wavelet thresholding. Zbl 0860.62032Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 255 1996 Optimally sparse representation in general (nonorthogonal) dictionaries via \(\ell^1\) minimization. Zbl 1064.94011Donoho, David L.; Elad, Michael 248 2003 Atomic decomposition by basis pursuit. Zbl 0979.94010Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 233 2001 New tight frames of curvelets and optimal representations of objects with piecewise \(C ^{2}\) singularities. Zbl 1038.94502Candès, Emmanuel J.; Donoho, David L. 231 2004 Wavelet shrinkage: Asymptopia? Zbl 0827.62035Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 227 1995 From sparse solutions of systems of equations to sparse modeling of signals and images. Zbl 1178.68619Bruckstein, Alfred M.; Donoho, David L.; Elad, Michael 218 2009 Minimax estimation via wavelet shrinkage. Zbl 0935.62041Donoho, David L.; Johnstone, Iain M. 196 1998 Uncertainty principles and signal recovery. Zbl 0689.42001Donoho, David L.; Stark, Philip B. 186 1989 Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N. 181 2006 Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503Donoho, David L.; Huo, Xiaoming 176 2001 For most large underdetermined systems of linear equations the minimal \(\ell_{1}\)-norm solution is also the sparsest solution. Zbl 1113.15004Donoho, David L. 167 2006 Breakdown properties of location estimates based on halfspace depth and projected outlyingness. Zbl 0776.62031Donoho, David L.; Gasko, Miriam 160 1992 Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117Donoho, David L. 143 1995 Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051Donoho, David; Jin, Jiashun 141 2004 Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337Donoho, David L.; Grimes, Carrie 139 2003 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 107 2006 The notion of breakdown point. Zbl 0523.62032Donoho, David L.; Huber, Peter J. 104 1983 Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M. 103 2006 Translation-invariant de-noising. Zbl 0866.94008Coifman, R. R.; Donoho, D. L. 103 1995 Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503Candès, Emmanuel J.; Donoho, David L. 92 1999 The curvelet transform for image denoising. Zbl 1288.94011Starck, Jean-Luc; Candès, Emmanuel J.; Donoho, David L. 89 2002 Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L. 79 2005 Sparse solution of underdetermined systems of linear equations by stagewise orthogonal matching pursuit. Zbl 1365.94069Donoho, David L.; Tsaig, Yaakov; Drori, Iddo; Starck, Jean-Luc 77 2012 Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012Starck, Jean-Luc; Elad, Michael; Donoho, David L. 77 2005 Wedgelets: Nearly minimax estimation of edges. Zbl 0957.62029Donoho, David L. 70 1999 Geometrizing rates of convergence. III. Zbl 0754.62029Donoho, David L.; Liu, Richard C. 66 1991 Minimax risk over hyperrectangles, and implications. Zbl 0705.62018Donoho, David L.; Liu, Richard C.; MacGibbon, Brenda 66 1990 Minimax risk over \(l_ p\)-balls for \(l_ q\)-error. Zbl 0802.62006Donoho, D. L.; Johnstone, I. M. 65 1994 Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022Candès, Emmanuel J.; Donoho, David L. 64 2005 The “automatic” robustness of minimum distance functionals. Zbl 0684.62030Donoho, David L.; Liu, Richard C. 63 1988 Geometrizing rates of convergence. II. Zbl 0754.62028Donoho, David L.; Liu, Richard C. 60 1991 Statistical estimation and optimal recovery. Zbl 0805.62014Donoho, David L. 59 1994 Fast solution of \(\ell_1\)-norm minimization problems when the solution may be sparse. Zbl 1247.94009Donoho, David L.; Tsaig, Yaakov 58 2008 Maximum entropy and the nearly black object.(With discussion). Zbl 0788.62103Donoho, David L.; Johnstone, Iain M.; Hoch, Jeffrey C.; Stern, Alan S. 56 1992 Sparse components of images and optimal atomic decompositions. Zbl 0995.65150Donoho, D. L. 54 2001 Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083Donoho, David L. 53 1993 Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023Candès, Emmanuel J.; Donoho, David L. 52 2005 Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010Donoho, David L.; Tanner, Jared 48 2009 Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Zbl 1185.94029Donoho, David; Tanner, Jared 46 2009 Multiscale representations for manifold-valued data. Zbl 1236.65166Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 46 2005 Superresolution via sparsity constraints. Zbl 0769.42007Donoho, David L. 46 1992 Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300Donoho, David L.; Tanner, Jared 44 2005 One-sided inference about functionals of a density. Zbl 0665.62040Donoho, David L. 43 1988 Extensions of compressed sensing. Zbl 1163.94399Tsaig, Yaakov; Donoho, David L. 41 2006 High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500Donoho, David L. 40 2006 Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335Candès, Emmanuel J.; Donoho, David L. 38 2002 Minimax quadratic estimation of a quadratic functional. Zbl 0724.62039Donoho, David L.; Nussbaum, Michael 38 1990 Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 37 2005 Data compression and harmonic analysis. Zbl 1125.94311Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid 36 1998 Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032Donoho, David L.; Low, Mark G. 35 1992 Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212Donoho, David; Jin, Jiashun 34 2008 The optimal hard threshold for singular values is \(4/\sqrt 3\). Zbl 1360.94071Gavish, Matan; Donoho, David L. 32 2014 Signal recovery and the large sieve. Zbl 0768.42001Donoho, D. L.; Logan, B. F. 31 1992 Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004Donoho, David L.; Tanner, Jared 30 2010 CART and best-ortho-basis: A connection. Zbl 0942.62044Donoho, David L. 29 1997 Microlocal analysis of the geometric separation problem. Zbl 1261.94007Donoho, David; Kutyniok, Gitta 27 2013 Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery. Zbl 0802.62007Donoho, D. L. 26 1994 Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data. Zbl 0786.62094Donoho, David L. 24 1993 Beamlets and multiscale image analysis. Zbl 1084.65134Donoho, David L.; Huo, Xiaoming 23 2002 Orthonormal ridgelets and linear singularities. Zbl 0952.42020Donoho, David L. 23 2000 Projection-based approximation and a duality with kernel methods. Zbl 0699.62067Donoho, David L.; Johnstone, Iain M. 23 1989 Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017Donoho, David L.; Yu, Thomas P.-Y. 22 2000 Unconditional bases and bit-level compression. Zbl 0936.62004Donoho, David L. 22 1996 Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113Donoho, David; Jin, Jiashun 21 2009 Pathologies of some minimum distance estimators. Zbl 0684.62029Donoho, David L.; Liu, Richard C. 21 1988 Neo-classical minimax problems, thresholding and adaptive function estimation. Zbl 0877.62035Donoho, David L.; Johnstone, Iain M. 20 1996 Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising. Zbl 1364.94092Donoho, David L.; Johnstone, Iain; Montanari, Andrea 19 2013 The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094Donoho, David L.; Maleki, Arian; Montanari, Andrea 19 2011 Ideal denoising in an orthonormal basis chosen from a library of bases. Zbl 0819.94007Donoho, David L.; Johnstone, Iain M. 19 1994 Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019Donoho, David; Jin, Jiashun 18 2015 On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329Donoho, David L.; Elad, Michael 18 2006 Gray and color image contrast enhancement by the curvelet transform. Zbl 1288.94013Starck, Jean-Luc; Murtagh, Fionn; Candès, Emmanuel J.; Donoho, David L. 18 2003 WaveLab and reproducible research. Zbl 0828.62001Buckheit, Jonathan B.; Donoho, David L. 18 1995 Smooth wavelet decompositions with blocky coefficient kernels. Zbl 0813.42020Donoho, David L. 18 1994 Adaptive multiscale detection of filamentary structures in a background of uniform random points. Zbl 1091.62095Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 17 2006 Universal near minimaxity of wavelet shrinkage. Zbl 0891.62025Donoho, D. L.; Johnstone, I. M.; Kerkyacharian, G.; Picard, D. 17 1997 High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220Donoho, David; Montanari, Andrea 16 2016 On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007Donoho, D. L.; Elad, M.; Temlyakov, V. N. 16 2007 Translation invariant deconvolution in a periodic setting. Zbl 1071.62088Donoho, David L.; Raimondo, Marc E. 15 2004 Optimal shrinkage of singular values. Zbl 1366.94100Gavish, Matan; Donoho, David L. 14 2017 Fast and accurate polar Fourier transform. Zbl 1107.65127Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M. 14 2006 Cosmological non-Gaussian signature detection: comparing performance of different statistical tests. Zbl 1127.94335Jin, J.; Starck, J.-L.; Donoho, D. L.; Aghanim, N.; Forni, O. 14 2005 Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014Donoho, David; Gavish, Matan 13 2014 A framework for discrete integral transformations. I: The pseudopolar Fourier transform. Zbl 1167.65075Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Israeli, M.; Shkolnisky, Y. 13 2008 Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010Donoho, David; Jin, Jiashun 13 2006 Curvelets and curvilinear integrals. Zbl 0989.42020Candès, Emmanuel J.; Donoho, David L. 13 2001 Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099Donoho, David; Gavish, Matan; Johnstone, Iain 12 2018 Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L. 10 2007 Ridge functions and orthonormal ridgelets. Zbl 0982.42026Donoho, David L. 10 2001 Asymptotic minimaxity of wavelet estimators with sampled data. Zbl 1065.62518Donoho, David L.; Johnstone, Iain M. 10 1999 A framework for discrete integral transformations: II. The 2D discrete Radon transform. Zbl 1167.65076Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Israeli, M.; Shkolnisky, Y.; Sedelnikov, I. 8 2008 Breakdown of equivalence between the minimal \(\ell^1\)-norm solution and the sparsest solution. Zbl 1163.94398Tsaig, Yaakov; Donoho, David L. 8 2006 Connect the dots: how many random points can a regular curve pass through? Zbl 1081.60006Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming; Tovey, Craig A. 8 2005 Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement. Zbl 0967.65120Donoho, David L.; Dyn, Nira; Levin, David; Yu, Thomas P. Y. 8 2000 The phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoising. Zbl 1292.94004Donoho, David L.; Gavish, Matan; Montanari, Andrea 7 2013 Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099Donoho, David; Gavish, Matan; Johnstone, Iain 12 2018 Optimal shrinkage of singular values. Zbl 1366.94100Gavish, Matan; Donoho, David L. 14 2017 High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220Donoho, David; Montanari, Andrea 16 2016 Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019Donoho, David; Jin, Jiashun 18 2015 The optimal hard threshold for singular values is \(4/\sqrt 3\). Zbl 1360.94071Gavish, Matan; Donoho, David L. 32 2014 Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014Donoho, David; Gavish, Matan 13 2014 Microlocal analysis of the geometric separation problem. Zbl 1261.94007Donoho, David; Kutyniok, Gitta 27 2013 Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising. Zbl 1364.94092Donoho, David L.; Johnstone, Iain; Montanari, Andrea 19 2013 The phase transition of matrix recovery from Gaussian measurements matches the minimax MSE of matrix denoising. Zbl 1292.94004Donoho, David L.; Gavish, Matan; Montanari, Andrea 7 2013 Deterministic matrices matching the compressed sensing phase transitions of Gaussian random matrices. Zbl 1292.94007Monajemi, Hatef; Jafarpour, Sina; Gavish, Matan; Stat 330/CME 362 Collaboration; Donoho, David L. 7 2013 Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120Donoho, David L.; Javanmard, Adel; Montanari, Andrea 4 2013 Sparse solution of underdetermined systems of linear equations by stagewise orthogonal matching pursuit. Zbl 1365.94069Donoho, David L.; Tsaig, Yaakov; Drori, Iddo; Starck, Jean-Luc 77 2012 The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094Donoho, David L.; Maleki, Arian; Montanari, Andrea 19 2011 Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004Donoho, David L.; Tanner, Jared 30 2010 Exponential bounds implying construction of compressed sensing matrices, error-correcting codes, and neighborly polytopes by random sampling. Zbl 1366.94233Donoho, David L.; Tanner, Jared 5 2010 An invitation to reproducible computational research. Zbl 1437.62445Donoho, David L. 1 2010 From sparse solutions of systems of equations to sparse modeling of signals and images. Zbl 1178.68619Bruckstein, Alfred M.; Donoho, David L.; Elad, Michael 218 2009 Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010Donoho, David L.; Tanner, Jared 48 2009 Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Zbl 1185.94029Donoho, David; Tanner, Jared 46 2009 Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113Donoho, David; Jin, Jiashun 21 2009 Does median filtering truly preserve edges better than linear filtering? Zbl 1160.62086Arias-Castro, Ery; Donoho, David L. 3 2009 Fast solution of \(\ell_1\)-norm minimization problems when the solution may be sparse. Zbl 1247.94009Donoho, David L.; Tsaig, Yaakov 58 2008 Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212Donoho, David; Jin, Jiashun 34 2008 A framework for discrete integral transformations. I: The pseudopolar Fourier transform. Zbl 1167.65075Averbuch, 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 1167.65076Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Israeli, M.; Shkolnisky, Y.; Sedelnikov, I. 8 2008 On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007Donoho, D. L.; Elad, M.; Temlyakov, V. N. 16 2007 Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L. 10 2007 Compressed sensing. Zbl 1288.94016Donoho, David L. 1,058 2006 Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N. 181 2006 For most large underdetermined systems of linear equations the minimal \(\ell_{1}\)-norm solution is also the sparsest solution. Zbl 1113.15004Donoho, David L. 167 2006 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 107 2006 Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M. 103 2006 Extensions of compressed sensing. Zbl 1163.94399Tsaig, Yaakov; Donoho, David L. 41 2006 High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500Donoho, David L. 40 2006 On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329Donoho, David L.; Elad, Michael 18 2006 Adaptive multiscale detection of filamentary structures in a background of uniform random points. Zbl 1091.62095Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 17 2006 Fast and accurate polar Fourier transform. Zbl 1107.65127Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M. 14 2006 Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010Donoho, David; Jin, Jiashun 13 2006 Breakdown of equivalence between the minimal \(\ell^1\)-norm solution and the sparsest solution. Zbl 1163.94398Tsaig, Yaakov; Donoho, David L. 8 2006 Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L. 79 2005 Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012Starck, Jean-Luc; Elad, Michael; Donoho, David L. 77 2005 Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022Candès, Emmanuel J.; Donoho, David L. 64 2005 Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023Candès, Emmanuel J.; Donoho, David L. 52 2005 Multiscale representations for manifold-valued data. Zbl 1236.65166Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 46 2005 Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300Donoho, David L.; Tanner, Jared 44 2005 Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 37 2005 Cosmological non-Gaussian signature detection: comparing performance of different statistical tests. Zbl 1127.94335Jin, J.; Starck, J.-L.; Donoho, D. L.; Aghanim, N.; Forni, O. 14 2005 Connect the dots: how many random points can a regular curve pass through? Zbl 1081.60006Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming; Tovey, Craig A. 8 2005 Estimating point-to-point and point-to-multipoint traffic matrices: an information-theoretic approach. Zbl 1288.94028Zhang, Yin; Roughan, Matthew; Lund, Carsten; Donoho, David L. 3 2005 A fast wavelet algorithm for image deblurring. Zbl 1078.65573Donoho, D. L.; Raimondo, M. E. 3 2005 Analysis of the spatial distribution of galaxies by multiscale methods. Zbl 1141.85302Starck, J-L.; Martínez, V. J.; Donoho, D. L.; Levi, O.; Querre, P.; Saar, E. 2 2005 New tight frames of curvelets and optimal representations of objects with piecewise \(C ^{2}\) singularities. Zbl 1038.94502Candès, Emmanuel J.; Donoho, David L. 231 2004 Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051Donoho, David; Jin, Jiashun 141 2004 Translation invariant deconvolution in a periodic setting. Zbl 1071.62088Donoho, David L.; Raimondo, Marc E. 15 2004 Fast X-ray and beamlet transforms for three-dimensional data. Zbl 1070.65133Donoho, David L.; Levi, Ofer 3 2004 Beamlab and reproducible research. Zbl 1104.68839Donoho, David L.; Huo, Xiaoming 2 2004 Optimally sparse representation in general (nonorthogonal) dictionaries via \(\ell^1\) minimization. Zbl 1064.94011Donoho, David L.; Elad, Michael 248 2003 Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337Donoho, David L.; Grimes, Carrie 139 2003 Gray and color image contrast enhancement by the curvelet transform. Zbl 1288.94013Starck, Jean-Luc; Murtagh, Fionn; Candès, Emmanuel J.; Donoho, David L. 18 2003 Digital ridgelet transform based on true ridge functions. Zbl 1087.65123Donoho, D. L.; Flesia, A. G. 5 2003 Locally stationary covariance and signal estimation with macrotiles. Zbl 1369.94132Donoho, David L.; Mallat, Stéphane; von Sachs, Rainer; Samuelides, Yann 3 2003 Digital implementation of ridgelet packets. Zbl 1087.65124Flesia, 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 1288.94011Starck, Jean-Luc; Candès, Emmanuel J.; Donoho, David L. 89 2002 Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335Candès, Emmanuel J.; Donoho, David L. 38 2002 Beamlets and multiscale image analysis. Zbl 1084.65134Donoho, David L.; Huo, Xiaoming 23 2002 Atomic decomposition by basis pursuit. Zbl 0979.94010Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 233 2001 Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503Donoho, David L.; Huo, Xiaoming 176 2001 Sparse components of images and optimal atomic decompositions. Zbl 0995.65150Donoho, D. L. 54 2001 Curvelets and curvilinear integrals. Zbl 0989.42020Candès, Emmanuel J.; Donoho, David L. 13 2001 Ridge functions and orthonormal ridgelets. Zbl 0982.42026Donoho, David L. 10 2001 Orthonormal ridgelets and linear singularities. Zbl 0952.42020Donoho, David L. 23 2000 Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017Donoho, David L.; Yu, Thomas P.-Y. 22 2000 Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement. Zbl 0967.65120Donoho, David L.; Dyn, Nira; Levin, David; Yu, Thomas P. Y. 8 2000 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 476 1999 Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503Candès, Emmanuel J.; Donoho, David L. 92 1999 Wedgelets: Nearly minimax estimation of edges. Zbl 0957.62029Donoho, David L. 70 1999 Asymptotic minimaxity of wavelet estimators with sampled data. Zbl 1065.62518Donoho, 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 0932.42023Donoho, David L. 7 1999 On denoising and best signal representation. Zbl 0958.94008Krim, Hamid; Tucker, Dewey; Mallat, Stéphane; Donoho, David 5 1999 Deslauriers-Dubuc: Ten years after. Zbl 0971.65008Donoho, D. L.; Yu, Thomas P. Y. 3 1999 Minimax estimation via wavelet shrinkage. Zbl 0935.62041Donoho, David L.; Johnstone, Iain M. 196 1998 Data compression and harmonic analysis. Zbl 1125.94311Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid 36 1998 CART and best-ortho-basis: A connection. Zbl 0942.62044Donoho, David L. 29 1997 Universal near minimaxity of wavelet shrinkage. Zbl 0891.62025Donoho, D. L.; Johnstone, I. M.; Kerkyacharian, G.; Picard, D. 17 1997 Renormalizing experiments for nonlinear functionals. Zbl 0921.62058Donoho, David L. 3 1997 Density estimation by wavelet thresholding. Zbl 0860.62032Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 255 1996 Unconditional bases and bit-level compression. Zbl 0936.62004Donoho, David L. 22 1996 Neo-classical minimax problems, thresholding and adaptive function estimation. Zbl 0877.62035Donoho, David L.; Johnstone, Iain M. 20 1996 Adapting to unknown smoothness via wavelet shrinkage. Zbl 0869.62024Donoho, David L.; Johnstone, Iain M. 355 1995 De-noising by soft-thresholding. Zbl 0820.62002Donoho, David L. 337 1995 Wavelet shrinkage: Asymptopia? Zbl 0827.62035Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 227 1995 Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117Donoho, David L. 143 1995 Translation-invariant de-noising. Zbl 0866.94008Coifman, R. R.; Donoho, D. L. 103 1995 WaveLab and reproducible research. Zbl 0828.62001Buckheit, Jonathan B.; Donoho, David L. 18 1995 Abstract statistical estimation and modern harmonic analysis. Zbl 0851.62027Donoho, David L. 1 1995 Ideal spatial adaptation by wavelet shrinkage. Zbl 0815.62019Donoho, David L.; Johnstone, Iain M. 731 1994 Minimax risk over \(l_ p\)-balls for \(l_ q\)-error. Zbl 0802.62006Donoho, D. L.; Johnstone, I. M. 65 1994 Statistical estimation and optimal recovery. Zbl 0805.62014Donoho, David L. 59 1994 Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery. Zbl 0802.62007Donoho, D. L. 26 1994 Ideal denoising in an orthonormal basis chosen from a library of bases. Zbl 0819.94007Donoho, David L.; Johnstone, Iain M. 19 1994 ...and 22 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 7,697 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 Kutz, J. Nathan 16 Nemirovski, Arkadi S. 16 Wasserman, Larry Alan 15 Fan, Jianqing 15 Huang, Ting-Zhu 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 7,597 more Authors all top 5 Cited in 498 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. 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