Edit Profile (opens in new tab) Donoho, David Leigh Co-Author Distance 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 · Google Scholar · Math-Net.Ru · dblp · GND · IdRef · theses.fr Awards: Shaw Prize (2013) · Carl Friedrich Gauss Prize (2018) Documents Indexed: 137 Publications since 1981 1 Contribution as Editor Co-Authors: 83 Co-Authors with 109 Joint Publications 2,171 Co-Co-Authors all top 5 Co-Authors 29 single-authored 16 Johnstone, Iain Murray 10 Candès, Emmanuel J. 8 Elad, Michael 8 Gavish, Matan 8 Starck, Jean-Luc 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 Han, Xiaoyan 1 Hoch, Jeffrey C. 1 Huber, Peter Jost 1 Jafarpour, Sina 1 Javanmard, Adel 1 Kipnis, Alon 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 Mhaskar, Hrushikesh N. 1 Moudden, Yassir 1 Murtagh, Fionn D. 1 Nussbaum, Michael 1 Papyan, Vardan 1 Paxson, Vern 1 Rahman, Inam Ur 1 Romanov, Elad 1 Roughan, Matthew 1 Samuelides, Yann 1 Schclar, Alon 1 Schröder, Peter 1 Sedelnikov, Ilya 1 Shankar, Umesh 1 Staniford, Stuart 1 1 Stern, Alan S. 1 Stodden, Victoria C. 1 Tovey, Craig A. 1 Tucker, Dewey 1 Vetterli, Martin 1 von Sachs, Rainer 1 Ying, Lexing 1 Zhang, Yin 1 Zhou, Dingxuan all top 5 Serials 24 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 all top 5 Fields 66 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 Operations research, mathematical programming (90-XX) 6 Biology and other natural sciences (92-XX) 5 Linear and multilinear algebra; matrix theory (15-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) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 125 Publications have been cited 10,937 times in 6,546 Documents Cited by ▼ Year ▼ Compressed sensing. Zbl 1288.94016Donoho, David L. 1,396 2006 Ideal spatial adaptation by wavelet shrinkage. Zbl 0815.62019Donoho, David L.; Johnstone, Iain M. 861 1994 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 540 1999 Adapting to unknown smoothness via wavelet shrinkage. Zbl 0869.62024Donoho, David L.; Johnstone, Iain M. 422 1995 De-noising by soft-thresholding. Zbl 0820.62002Donoho, David L. 416 1995 Atomic decomposition by basis pursuit. Zbl 0979.94010Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 324 2001 Optimally sparse representation in general (nonorthogonal) dictionaries via \(\ell^1\) minimization. Zbl 1064.94011Donoho, David L.; Elad, Michael 306 2003 From sparse solutions of systems of equations to sparse modeling of signals and images. Zbl 1178.68619Bruckstein, Alfred M.; Donoho, David L.; Elad, Michael 305 2009 Density estimation by wavelet thresholding. Zbl 0860.62032Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 295 1996 New tight frames of curvelets and optimal representations of objects with piecewise \(C ^{2}\) singularities. Zbl 1038.94502Candès, Emmanuel J.; Donoho, David L. 269 2004 Wavelet shrinkage: Asymptopia? Zbl 0827.62035Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 256 1995 Uncertainty principles and signal recovery. Zbl 0689.42001Donoho, David L.; Stark, Philip B. 254 1989 Minimax estimation via wavelet shrinkage. Zbl 0935.62041Donoho, David L.; Johnstone, Iain M. 223 1998 Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N. 216 2006 Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503Donoho, David L.; Huo, Xiaoming 214 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. 205 2006 Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051Donoho, David; Jin, Jiashun 203 2004 Breakdown properties of location estimates based on halfspace depth and projected outlyingness. Zbl 0776.62031Donoho, David L.; Gasko, Miriam 198 1992 Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337Donoho, David L.; Grimes, Carrie 181 2003 Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117Donoho, David L. 156 1995 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 122 2006 Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M. 118 2006 Translation-invariant de-noising. Zbl 0866.94008Coifman, R. R.; Donoho, D. L. 117 1995 The curvelet transform for image denoising. Zbl 1288.94011Starck, Jean-Luc; Candès, Emmanuel J.; Donoho, David L. 108 2002 Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503Candès, Emmanuel J.; Donoho, David L. 108 1999 The notion of breakdown point. Zbl 0523.62032Donoho, David L.; Huber, Peter J. 101 1983 Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L. 100 2005 Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012Starck, Jean-Luc; Elad, Michael; Donoho, David L. 94 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 82 2012 Geometrizing rates of convergence. II. Zbl 0754.62028Donoho, David L.; Liu, Richard C. 77 1991 Minimax risk over hyperrectangles, and implications. Zbl 0705.62018Donoho, David L.; Liu, Richard C.; MacGibbon, Brenda 74 1990 Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022Candès, Emmanuel J.; Donoho, David L. 74 2005 The “automatic” robustness of minimum distance functionals. Zbl 0684.62030Donoho, David L.; Liu, Richard C. 73 1988 Geometrizing rates of convergence. III. Zbl 0754.62029Donoho, David L.; Liu, Richard C. 72 1991 Minimax risk over \(l_ p\)-balls for \(l_ q\)-error. Zbl 0802.62006Donoho, D. L.; Johnstone, I. M. 71 1994 Statistical estimation and optimal recovery. Zbl 0805.62014Donoho, David L. 70 1994 Wedgelets: Nearly minimax estimation of edges. Zbl 0957.62029Donoho, David L. 70 1999 Fast solution of \(\ell_1\)-norm minimization problems when the solution may be sparse. Zbl 1247.94009Donoho, David L.; Tsaig, Yaakov 67 2008 Superresolution via sparsity constraints. Zbl 0769.42007Donoho, David L. 67 1992 Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083Donoho, David L. 66 1993 Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010Donoho, David L.; Tanner, Jared 62 2009 Sparse components of images and optimal atomic decompositions. Zbl 0995.65150Donoho, D. L. 62 2001 Maximum entropy and the nearly black object.(With discussion). Zbl 0788.62103Donoho, David L.; Johnstone, Iain M.; Hoch, Jeffrey C.; Stern, Alan S. 60 1992 Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Zbl 1185.94029Donoho, David; Tanner, Jared 59 2009 Multiscale representations for manifold-valued data. Zbl 1236.65166Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 59 2005 Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300Donoho, David L.; Tanner, Jared 58 2005 Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023Candès, Emmanuel J.; Donoho, David L. 58 2005 One-sided inference about functionals of a density. Zbl 0665.62040Donoho, David L. 54 1988 The optimal hard threshold for singular values is \(4/\sqrt 3\). Zbl 1360.94071Gavish, Matan; Donoho, David L. 54 2014 High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500Donoho, David L. 50 2006 Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 49 2005 Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335Candès, Emmanuel J.; Donoho, David L. 49 2002 Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004Donoho, David L.; Tanner, Jared 47 2010 Minimax quadratic estimation of a quadratic functional. Zbl 0724.62039Donoho, David L.; Nussbaum, Michael 47 1990 Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212Donoho, David; Jin, Jiashun 45 2008 Extensions of compressed sensing. Zbl 1163.94399Tsaig, Yaakov; Donoho, David L. 43 2006 Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099Donoho, David; Gavish, Matan; Johnstone, Iain 42 2018 Data compression and harmonic analysis. Zbl 1125.94311Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid 42 1998 Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032Donoho, David L.; Low, Mark G. 40 1992 CART and best-ortho-basis: a connection. Zbl 0942.62044Donoho, David L. 38 1997 High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220Donoho, David; Montanari, Andrea 35 2016 Signal recovery and the large sieve. Zbl 0768.42001Donoho, D. L.; Logan, B. F. 35 1992 Microlocal analysis of the geometric separation problem. Zbl 1261.94007Donoho, David; Kutyniok, Gitta 33 2013 Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019Donoho, David; Jin, Jiashun 29 2015 Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014Donoho, David; Gavish, Matan 29 2014 Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113Donoho, David; Jin, Jiashun 27 2009 Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data. Zbl 0786.62094Donoho, David L. 27 1993 Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery. Zbl 0802.62007Donoho, D. L. 27 1994 The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094Donoho, David L.; Maleki, Arian; Montanari, Andrea 26 2011 Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017Donoho, David L.; Yu, Thomas P.-Y. 25 2000 WaveLab and reproducible research. Zbl 0828.62001Buckheit, Jonathan B.; Donoho, David L. 25 1995 Beamlets and multiscale image analysis. Zbl 1084.65134Donoho, David L.; Huo, Xiaoming 24 2002 Orthonormal ridgelets and linear singularities. Zbl 0952.42020Donoho, David L. 24 2000 Pathologies of some minimum distance estimators. Zbl 0684.62029Donoho, David L.; Liu, Richard C. 24 1988 Projection-based approximation and a duality with kernel methods. Zbl 0699.62067Donoho, David L.; Johnstone, Iain M. 24 1989 On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329Donoho, David L.; Elad, Michael 24 2006 Unconditional bases and bit-level compression. Zbl 0936.62004Donoho, David L. 24 1996 Optimal shrinkage of singular values. Zbl 1366.94100Gavish, Matan; Donoho, David L. 24 2017 Ideal denoising in an orthonormal basis chosen from a library of bases. Zbl 0819.94007Donoho, David L.; Johnstone, Iain M. 23 1994 Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising. Zbl 1364.94092Donoho, David L.; Johnstone, Iain; Montanari, Andrea 23 2013 Adaptive multiscale detection of filamentary structures in a background of uniform random points. Zbl 1091.62095Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 21 2006 Neo-classical minimax problems, thresholding and adaptive function estimation. Zbl 0877.62035Donoho, David L.; Johnstone, Iain M. 20 1996 Gray and color image contrast enhancement by the curvelet transform. Zbl 1288.94013Starck, Jean-Luc; Murtagh, Fionn; Candès, Emmanuel J.; Donoho, David L. 17 2003 On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007Donoho, D. L.; Elad, M.; Temlyakov, V. N. 17 2007 Fast and accurate polar Fourier transform. Zbl 1107.65127Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M. 17 2006 Translation invariant deconvolution in a periodic setting. Zbl 1071.62088Donoho, David L.; Raimondo, Marc E. 17 2004 Universal near minimaxity of wavelet shrinkage. Zbl 0891.62025Donoho, D. L.; Johnstone, I. M.; Kerkyacharian, G.; Picard, D. 17 1997 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. 16 2008 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. 16 2005 Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L. 15 2007 Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120Donoho, David L.; Javanmard, Adel; Montanari, Andrea 15 2013 Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010Donoho, David; Jin, Jiashun 15 2006 Image manifolds which are isometric to Euclidean space. Zbl 1478.62186Donoho, David L.; Grimes, Carrie 15 2005 Curvelets and curvilinear integrals. Zbl 0989.42020Candès, Emmanuel J.; Donoho, David L. 14 2001 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 14 2013 Smooth wavelet decompositions with blocky coefficient kernels. Zbl 0813.42020Donoho, David L. 13 1994 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. 12 2008 Breakdown of equivalence between the minimal \(\ell^1\)-norm solution and the sparsest solution. Zbl 1163.94398Tsaig, Yaakov; Donoho, David L. 11 2006 Ridge functions and orthonormal ridgelets. Zbl 0982.42026Donoho, David L. 11 2001 Asymptotic minimaxity of wavelet estimators with sampled data. Zbl 1065.62518Donoho, David L.; Johnstone, Iain M. 10 1999 Higher criticism to compare two large frequency tables, with sensitivity to possible rare and weak differences. Zbl 07547937Donoho, David L.; Kipnis, Alon 2 2022 Prevalence of neural collapse during the terminal phase of deep learning training. Zbl 1489.68237Papyan, Vardan; Han, X. Y.; Donoho, David L. 3 2020 Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099Donoho, David; Gavish, Matan; Johnstone, Iain 42 2018 Optimal shrinkage of singular values. Zbl 1366.94100Gavish, Matan; Donoho, David L. 24 2017 High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220Donoho, David; Montanari, Andrea 35 2016 Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019Donoho, David; Jin, Jiashun 29 2015 The optimal hard threshold for singular values is \(4/\sqrt 3\). Zbl 1360.94071Gavish, Matan; Donoho, David L. 54 2014 Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014Donoho, David; Gavish, Matan 29 2014 Microlocal analysis of the geometric separation problem. Zbl 1261.94007Donoho, David; Kutyniok, Gitta 33 2013 Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising. Zbl 1364.94092Donoho, David L.; Johnstone, Iain; Montanari, Andrea 23 2013 Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120Donoho, David L.; Javanmard, Adel; Montanari, Andrea 15 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 14 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. 9 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 82 2012 The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094Donoho, David L.; Maleki, Arian; Montanari, Andrea 26 2011 Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004Donoho, David L.; Tanner, Jared 47 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 8 2010 An invitation to reproducible computational research. Zbl 1437.62445Donoho, David L. 5 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 305 2009 Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010Donoho, David L.; Tanner, Jared 62 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 59 2009 Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113Donoho, David; Jin, Jiashun 27 2009 Does median filtering truly preserve edges better than linear filtering? Zbl 1160.62086Arias-Castro, Ery; Donoho, David L. 4 2009 Fast solution of \(\ell_1\)-norm minimization problems when the solution may be sparse. Zbl 1247.94009Donoho, David L.; Tsaig, Yaakov 67 2008 Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212Donoho, David; Jin, Jiashun 45 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. 16 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. 12 2008 On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007Donoho, D. L.; Elad, M.; Temlyakov, V. N. 17 2007 Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L. 15 2007 Compressed sensing. Zbl 1288.94016Donoho, David L. 1,396 2006 Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N. 216 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. 205 2006 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 122 2006 Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M. 118 2006 High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500Donoho, David L. 50 2006 Extensions of compressed sensing. Zbl 1163.94399Tsaig, Yaakov; Donoho, David L. 43 2006 On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329Donoho, David L.; Elad, Michael 24 2006 Adaptive multiscale detection of filamentary structures in a background of uniform random points. Zbl 1091.62095Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 21 2006 Fast and accurate polar Fourier transform. Zbl 1107.65127Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M. 17 2006 Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010Donoho, David; Jin, Jiashun 15 2006 Breakdown of equivalence between the minimal \(\ell^1\)-norm solution and the sparsest solution. Zbl 1163.94398Tsaig, Yaakov; Donoho, David L. 11 2006 Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L. 100 2005 Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012Starck, Jean-Luc; Elad, Michael; Donoho, David L. 94 2005 Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022Candès, Emmanuel J.; Donoho, David L. 74 2005 Multiscale representations for manifold-valued data. Zbl 1236.65166Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 59 2005 Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300Donoho, David L.; Tanner, Jared 58 2005 Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023Candès, Emmanuel J.; Donoho, David L. 58 2005 Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 49 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. 16 2005 Image manifolds which are isometric to Euclidean space. Zbl 1478.62186Donoho, David L.; Grimes, Carrie 15 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. 9 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. 5 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. 1 2005 New tight frames of curvelets and optimal representations of objects with piecewise \(C ^{2}\) singularities. Zbl 1038.94502Candès, Emmanuel J.; Donoho, David L. 269 2004 Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051Donoho, David; Jin, Jiashun 203 2004 Translation invariant deconvolution in a periodic setting. Zbl 1071.62088Donoho, David L.; Raimondo, Marc E. 17 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 306 2003 Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337Donoho, David L.; Grimes, Carrie 181 2003 Gray and color image contrast enhancement by the curvelet transform. Zbl 1288.94013Starck, Jean-Luc; Murtagh, Fionn; Candès, Emmanuel J.; Donoho, David L. 17 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 4 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. 108 2002 Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335Candès, Emmanuel J.; Donoho, David L. 49 2002 Beamlets and multiscale image analysis. Zbl 1084.65134Donoho, David L.; Huo, Xiaoming 24 2002 Atomic decomposition by basis pursuit. Zbl 0979.94010Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 324 2001 Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503Donoho, David L.; Huo, Xiaoming 214 2001 Sparse components of images and optimal atomic decompositions. Zbl 0995.65150Donoho, D. L. 62 2001 Curvelets and curvilinear integrals. Zbl 0989.42020Candès, Emmanuel J.; Donoho, David L. 14 2001 Ridge functions and orthonormal ridgelets. Zbl 0982.42026Donoho, David L. 11 2001 Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017Donoho, David L.; Yu, Thomas P.-Y. 25 2000 Orthonormal ridgelets and linear singularities. Zbl 0952.42020Donoho, David L. 24 2000 Smooth multiwavelet duals of Alpert bases by moment-interpolating refinement. Zbl 0967.65120Donoho, David L.; Dyn, Nira; Levin, David; Yu, Thomas P. Y. 9 2000 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 540 1999 Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503Candès, Emmanuel J.; Donoho, David L. 108 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 On denoising and best signal representation. Zbl 0958.94008Krim, Hamid; Tucker, Dewey; Mallat, Stéphane; Donoho, David 7 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 Deslauriers-Dubuc: Ten years after. Zbl 0971.65008Donoho, D. L.; Yu, Thomas P. Y. 4 1999 Minimax estimation via wavelet shrinkage. Zbl 0935.62041Donoho, David L.; Johnstone, Iain M. 223 1998 Data compression and harmonic analysis. Zbl 1125.94311Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid 42 1998 CART and best-ortho-basis: a connection. Zbl 0942.62044Donoho, David L. 38 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 295 1996 Unconditional bases and bit-level compression. Zbl 0936.62004Donoho, David L. 24 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. 422 1995 De-noising by soft-thresholding. Zbl 0820.62002Donoho, David L. 416 1995 Wavelet shrinkage: Asymptopia? Zbl 0827.62035Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 256 1995 Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117Donoho, David L. 156 1995 Translation-invariant de-noising. Zbl 0866.94008Coifman, R. R.; Donoho, D. L. 117 1995 WaveLab and reproducible research. Zbl 0828.62001Buckheit, Jonathan B.; Donoho, David L. 25 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. 861 1994 Minimax risk over \(l_ p\)-balls for \(l_ q\)-error. Zbl 0802.62006Donoho, D. L.; Johnstone, I. M. 71 1994 ...and 25 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 9,398 Authors 43 Cai, Tony Tony 42 Kutyniok, Gitta 40 Donoho, David Leigh 33 Chesneau, Christophe 31 Shen, Zuowei 29 Candès, Emmanuel J. 28 Arias-Castro, Ery 28 Labate, Demetrio 28 Mejjaoli, Hatem 27 Grohs, Philipp 27 Osher, Stanley Joel 26 Hall, Peter Gavin 26 Tsybakov, Alexandre B. 26 Zuo, Yijun 25 Rauhut, Holger 23 Fadili, Jalal M. 23 Low, Mark G. 22 Efromovich, Sam 22 Fan, Jianqing 22 Picard, Dominique B. 22 Steidl, Gabriele 21 Rousseeuw, Peter J. 21 Xiu, Naihua 20 Jin, Jiashun 20 Juditsky, Anatoli B. 20 Peyré, Gabriel 19 Amat, Sergio P. 19 Cai, Jian-Feng 19 Kutz, J. Nathan 19 Pensky, Marianna 19 Vidakovic, Brani 18 Chen, Wengu 18 Guo, Kanghui 18 Kerkyacharian, Gérard 18 Munk, Axel 18 Shestakov, O. 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