Edit Profile (opens in new tab) Donoho, David Leigh Compute Distance To: Compute Author ID: donoho.david-l Published as: Donoho, David L.; Donoho, David; Donoho, D. L. more...less Homepage: https://statistics.stanford.edu/people/david-donoho External Links: MGP · Wikidata Awards: Carl Friedrich Gauss Prize (2018) Documents Indexed: 136 Publications since 1981 1 Contribution as Editor Co-Authors: 80 Co-Authors with 108 Joint Publications 2,060 Co-Co-Authors all top 5 Co-Authors 29 single-authored 16 Johnstone, Iain Murray 10 Candès, Emmanuel J. 8 Elad, Michael 8 Starck, Jean-Luc 7 Gavish, Matan 6 Huo, Xiaoming 6 Jin, Jiashun 5 Averbuch, Amir Z. 5 Coifman, Ronald Raphaël 5 Flesia, Ana Georgina 5 Liu, Richard Chieng 5 Montanari, Andrea 5 Tanner, Jared W. 4 Arias-Castro, Ery 4 Tsaig, Yaakov 3 Israeli, Moshe 3 Kerkyacharian, Gérard 3 Picard, Dominique B. 3 Yu, Thomas Pok-Yin 2 Chen, Scott Shaobing 2 Drori, Iddo 2 Grimes, Carrie 2 Levi, Ofer 2 Mallat, Stephane Georges 2 Monajemi, Hatef 2 Querre, P. 2 Raimondo, Marc E. 2 Saunders, Michael A. 2 Shkolnisky, Yoel 2 Stark, Philip B. 2 Temlyakov, Vladimir Nikolaevich 1 Abramovich, Felix P. 1 Aghanim, Nabila 1 Benjamini, Yoav 1 Bobin, Jérôme 1 Bruckstein, Alfred Marcel 1 Buckheit, Jonathan B. 1 Coit, Jason 1 Daubechies, Ingrid Chantal 1 Demanet, Laurent 1 DeVore, Ronald A. 1 Dyn, Nira 1 Fadili, Jalal M. 1 Forni, Olivier 1 Gasko, Miriam 1 Hoch, Jeffrey C. 1 Huber, Peter Jost 1 Jafarpour, Sina 1 Javanmard, Adel 1 Kipnis, Alon 1 Krim, Hamid 1 Kutyniok, Gitta 1 Logan, Benjamin F. 1 Low, Mark G. 1 Lund, Carsten 1 MacGibbon, Brenda 1 Maleki, Arian 1 Mhaskar, Hrushikesh N. 1 Moudden, Yassir 1 Murtagh, Fionn D. 1 Nussbaum, Michael 1 Papyan, Vardan 1 Paxson, Vern 1 Rahman, Inam Ur 1 Roughan, Matthew 1 Samuelides, Yann 1 Schclar, Alon 1 Schröder, Peter 1 Sedelnikov, Ilya 1 Shankar, Umesh 1 Staniford, Stuart 1 1 Stern, Alan S. 1 Stodden, Victoria C. 1 Tovey, Craig A. 1 Tucker, Dewey 1 Vetterli, Martin 1 von Sachs, Rainer 1 Ying, Lexing 1 Zhang, Yin 1 Zhou, Dingxuan all top 5 Serials 23 The Annals of Statistics 16 IEEE Transactions on Information Theory 9 Applied and Computational Harmonic Analysis 8 Proceedings of the National Academy of Sciences of the United States of America 5 IEEE Transactions on Image Processing 3 Communications on Pure and Applied Mathematics 3 Journal of Approximation Theory 3 Probability Theory and Related Fields 3 Signal Processing 3 SIAM Journal on Mathematical Analysis 3 SIAM Journal on Scientific Computing 3 Philosophical Transactions of the Royal Society of London. Series A. Mathematical, Physical and Engineering Sciences 2 Discrete & Computational Geometry 2 Journal of the Royal Statistical Society. Series B 2 SIAM Journal on Applied Mathematics 2 SIAM Review 2 Statistica Sinica 2 EURASIP Journal on Applied Signal Processing 2 Multiscale Modeling & Simulation 2 International Journal of Wavelets, Multiresolution and Information Processing 1 Advances in Applied Probability 1 Biometrika 1 Journal of the American Statistical Association 1 Journal of Complexity 1 Constructive Approximation 1 Statistical Science 1 Journal of the American Mathematical Society 1 IEEE Transactions on Signal Processing 1 Comptes Rendus de l’Académie des Sciences. Série I 1 Notices of the American Mathematical Society 1 Journal of Mathematical Imaging and Vision 1 Bernoulli 1 Network: Computation in Neural Systems 1 Biostatistics 1 The ANZIAM Journal 1 1 Journal de la Société Française de Statistique 1 Information and Inference all top 5 Fields 65 Statistics (62-XX) 58 Information and communication theory, circuits (94-XX) 41 Harmonic analysis on Euclidean spaces (42-XX) 25 Numerical analysis (65-XX) 19 Computer science (68-XX) 17 Approximations and expansions (41-XX) 9 Probability theory and stochastic processes (60-XX) 8 Integral transforms, operational calculus (44-XX) 6 Biology and other natural sciences (92-XX) 5 Linear and multilinear algebra; matrix theory (15-XX) 5 Operations research, mathematical programming (90-XX) 4 Convex and discrete geometry (52-XX) 3 Functional analysis (46-XX) 3 Differential geometry (53-XX) 2 Functions of a complex variable (30-XX) 2 Special functions (33-XX) 2 Astronomy and astrophysics (85-XX) 1 General and overarching topics; collections (00-XX) 1 History and biography (01-XX) 1 Combinatorics (05-XX) 1 Number theory (11-XX) 1 Real functions (26-XX) 1 Partial differential equations (35-XX) 1 Abstract harmonic analysis (43-XX) 1 Integral equations (45-XX) 1 Geometry (51-XX) 1 Global analysis, analysis on manifolds (58-XX) 1 Systems theory; control (93-XX) Publications by Year all cited Publications top 5 cited Publications Citations contained in zbMATH Open 124 Publications have been cited 9,966 times in 5,973 Documents Cited by ▼ Year ▼ Compressed sensing. Zbl 1288.94016Donoho, David L. 1,231 2006 Ideal spatial adaptation by wavelet shrinkage. Zbl 0815.62019Donoho, David L.; Johnstone, Iain M. 806 1994 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 499 1999 Adapting to unknown smoothness via wavelet shrinkage. Zbl 0869.62024Donoho, David L.; Johnstone, Iain M. 389 1995 De-noising by soft-thresholding. Zbl 0820.62002Donoho, David L. 382 1995 Atomic decomposition by basis pursuit. Zbl 0979.94010Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 286 2001 Optimally sparse representation in general (nonorthogonal) dictionaries via \(\ell^1\) minimization. Zbl 1064.94011Donoho, David L.; Elad, Michael 281 2003 Density estimation by wavelet thresholding. Zbl 0860.62032Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 281 1996 From sparse solutions of systems of equations to sparse modeling of signals and images. Zbl 1178.68619Bruckstein, Alfred M.; Donoho, David L.; Elad, Michael 258 2009 New tight frames of curvelets and optimal representations of objects with piecewise \(C ^{2}\) singularities. Zbl 1038.94502Candès, Emmanuel J.; Donoho, David L. 246 2004 Wavelet shrinkage: Asymptopia? Zbl 0827.62035Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 241 1995 Uncertainty principles and signal recovery. Zbl 0689.42001Donoho, David L.; Stark, Philip B. 225 1989 Minimax estimation via wavelet shrinkage. Zbl 0935.62041Donoho, David L.; Johnstone, Iain M. 216 1998 Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N. 201 2006 Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503Donoho, David L.; Huo, Xiaoming 200 2001 Breakdown properties of location estimates based on halfspace depth and projected outlyingness. Zbl 0776.62031Donoho, David L.; Gasko, Miriam 188 1992 For most large underdetermined systems of linear equations the minimal \(\ell_{1}\)-norm solution is also the sparsest solution. Zbl 1113.15004Donoho, David L. 185 2006 Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051Donoho, David; Jin, Jiashun 174 2004 Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337Donoho, David L.; Grimes, Carrie 163 2003 Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117Donoho, David L. 150 1995 Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M. 111 2006 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 110 2006 Translation-invariant de-noising. Zbl 0866.94008Coifman, R. R.; Donoho, D. L. 107 1995 Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503Candès, Emmanuel J.; Donoho, David L. 99 1999 The curvelet transform for image denoising. Zbl 1288.94011Starck, Jean-Luc; Candès, Emmanuel J.; Donoho, David L. 98 2002 Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L. 92 2005 The notion of breakdown point. Zbl 0523.62032Donoho, David L.; Huber, Peter J. 89 1983 Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012Starck, Jean-Luc; Elad, Michael; Donoho, David L. 84 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 81 2012 Minimax risk over hyperrectangles, and implications. Zbl 0705.62018Donoho, David L.; Liu, Richard C.; MacGibbon, Brenda 72 1990 Wedgelets: Nearly minimax estimation of edges. Zbl 0957.62029Donoho, David L. 70 1999 Minimax risk over \(l_ p\)-balls for \(l_ q\)-error. Zbl 0802.62006Donoho, D. L.; Johnstone, I. M. 69 1994 Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022Candès, Emmanuel J.; Donoho, David L. 69 2005 Geometrizing rates of convergence. II. Zbl 0754.62028Donoho, David L.; Liu, Richard C. 69 1991 Geometrizing rates of convergence. III. Zbl 0754.62029Donoho, David L.; Liu, Richard C. 69 1991 Statistical estimation and optimal recovery. Zbl 0805.62014Donoho, David L. 65 1994 The “automatic” robustness of minimum distance functionals. Zbl 0684.62030Donoho, David L.; Liu, Richard C. 65 1988 Unconditional bases are optimal bases for data compression and for statistical estimation. Zbl 0796.62083Donoho, David L. 61 1993 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 Fast solution of \(\ell_1\)-norm minimization problems when the solution may be sparse. Zbl 1247.94009Donoho, David L.; Tsaig, Yaakov 59 2008 Sparse components of images and optimal atomic decompositions. Zbl 0995.65150Donoho, D. L. 58 2001 Superresolution via sparsity constraints. Zbl 0769.42007Donoho, David L. 57 1992 Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023Candès, Emmanuel J.; Donoho, David L. 55 2005 Multiscale representations for manifold-valued data. Zbl 1236.65166Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 53 2005 Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010Donoho, David L.; Tanner, Jared 53 2009 Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Zbl 1185.94029Donoho, David; Tanner, Jared 50 2009 Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300Donoho, David L.; Tanner, Jared 50 2005 Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 46 2005 One-sided inference about functionals of a density. Zbl 0665.62040Donoho, David L. 46 1988 The optimal hard threshold for singular values is \(4/\sqrt 3\). Zbl 1360.94071Gavish, Matan; Donoho, David L. 45 2014 Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335Candès, Emmanuel J.; Donoho, David L. 44 2002 Minimax quadratic estimation of a quadratic functional. Zbl 0724.62039Donoho, David L.; Nussbaum, Michael 44 1990 High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500Donoho, David L. 43 2006 Extensions of compressed sensing. Zbl 1163.94399Tsaig, Yaakov; Donoho, David L. 42 2006 Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212Donoho, David; Jin, Jiashun 42 2008 Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004Donoho, David L.; Tanner, Jared 39 2010 Data compression and harmonic analysis. Zbl 1125.94311Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid 39 1998 Renormalization exponents and optimal pointwise rates of convergence. Zbl 0797.62032Donoho, David L.; Low, Mark G. 38 1992 CART and best-ortho-basis: a connection. Zbl 0942.62044Donoho, David L. 37 1997 Signal recovery and the large sieve. Zbl 0768.42001Donoho, D. L.; Logan, B. F. 35 1992 Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099Donoho, David; Gavish, Matan; Johnstone, Iain 31 2018 Microlocal analysis of the geometric separation problem. Zbl 1261.94007Donoho, David; Kutyniok, Gitta 30 2013 High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220Donoho, David; Montanari, Andrea 29 2016 Nonlinear wavelet methods for recovery of signals, densities, and spectra from indirect and noisy data. Zbl 0786.62094Donoho, David L. 27 1993 Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019Donoho, David; Jin, Jiashun 26 2015 Asymptotic minimax risk for sup-norm loss: Solution via optimal recovery. Zbl 0802.62007Donoho, D. L. 26 1994 Nonlinear pyramid transforms based on median-interpolation. Zbl 0953.42017Donoho, David L.; Yu, Thomas P.-Y. 25 2000 Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014Donoho, David; Gavish, Matan 25 2014 Beamlets and multiscale image analysis. Zbl 1084.65134Donoho, David L.; Huo, Xiaoming 24 2002 Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113Donoho, David; Jin, Jiashun 24 2009 Orthonormal ridgelets and linear singularities. Zbl 0952.42020Donoho, David L. 24 2000 Projection-based approximation and a duality with kernel methods. Zbl 0699.62067Donoho, David L.; Johnstone, Iain M. 24 1989 Unconditional bases and bit-level compression. Zbl 0936.62004Donoho, David L. 23 1996 Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising. Zbl 1364.94092Donoho, David L.; Johnstone, Iain; Montanari, Andrea 22 2013 Pathologies of some minimum distance estimators. Zbl 0684.62029Donoho, David L.; Liu, Richard C. 22 1988 Optimal shrinkage of singular values. Zbl 1366.94100Gavish, Matan; Donoho, David L. 22 2017 Ideal denoising in an orthonormal basis chosen from a library of bases. Zbl 0819.94007Donoho, David L.; Johnstone, Iain M. 21 1994 WaveLab and reproducible research. Zbl 0828.62001Buckheit, Jonathan B.; Donoho, David L. 21 1995 Neo-classical minimax problems, thresholding and adaptive function estimation. Zbl 0877.62035Donoho, David L.; Johnstone, Iain M. 20 1996 The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094Donoho, David L.; Maleki, Arian; Montanari, Andrea 20 2011 Adaptive multiscale detection of filamentary structures in a background of uniform random points. Zbl 1091.62095Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 19 2006 On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329Donoho, David L.; Elad, Michael 19 2006 On Lebesgue-type inequalities for greedy approximation. Zbl 1120.41007Donoho, D. L.; Elad, M.; Temlyakov, V. N. 17 2007 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 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 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 Fast and accurate polar Fourier transform. Zbl 1107.65127Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M. 16 2006 Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010Donoho, David; Jin, Jiashun 15 2006 Curvelets and curvilinear integrals. Zbl 0989.42020Candès, Emmanuel J.; Donoho, David L. 14 2001 Smooth wavelet decompositions with blocky coefficient kernels. Zbl 0813.42020Donoho, David L. 13 1994 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 Ridge functions and orthonormal ridgelets. Zbl 0982.42026Donoho, David L. 11 2001 Morphological component analysis: an adaptive thresholding strategy. Zbl 1288.94009Bobin, Jérôme; Starck, Jean-Luc; Fadili, Jalal; Moudden, Yassir; Donoho, David L. 10 2007 Asymptotic minimaxity of wavelet estimators with sampled data. Zbl 1065.62518Donoho, David L.; Johnstone, Iain M. 10 1999 Image manifolds which are isometric to Euclidean space. Zbl 1478.62186Donoho, David L.; Grimes, Carrie 9 2005 Breakdown of equivalence between the minimal \(\ell^1\)-norm solution and the sparsest solution. Zbl 1163.94398Tsaig, Yaakov; Donoho, David L. 9 2006 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. 9 2008 Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120Donoho, David L.; Javanmard, Adel; Montanari, Andrea 9 2013 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 Higher criticism to compare two large frequency tables, with sensitivity to possible rare and weak differences. Zbl 07547937Donoho, David L.; Kipnis, Alon 1 2022 Optimal shrinkage of eigenvalues in the spiked covariance model. Zbl 1403.62099Donoho, David; Gavish, Matan; Johnstone, Iain 31 2018 Optimal shrinkage of singular values. Zbl 1366.94100Gavish, Matan; Donoho, David L. 22 2017 High dimensional robust M-estimation: asymptotic variance via approximate message passing. Zbl 1357.62220Donoho, David; Montanari, Andrea 29 2016 Higher criticism for large-scale inference, especially for rare and weak effects. Zbl 1332.62019Donoho, David; Jin, Jiashun 26 2015 The optimal hard threshold for singular values is \(4/\sqrt 3\). Zbl 1360.94071Gavish, Matan; Donoho, David L. 45 2014 Minimax risk of matrix denoising by singular value thresholding. Zbl 1310.62014Donoho, David; Gavish, Matan 25 2014 Microlocal analysis of the geometric separation problem. Zbl 1261.94007Donoho, David; Kutyniok, Gitta 30 2013 Accurate prediction of phase transitions in compressed sensing via a connection to minimax denoising. Zbl 1364.94092Donoho, David L.; Johnstone, Iain; Montanari, Andrea 22 2013 Information-theoretically optimal compressed sensing via spatial coupling and approximate message passing. Zbl 1364.94120Donoho, David L.; Javanmard, Adel; Montanari, Andrea 9 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. 8 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 8 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 81 2012 The noise-sensitivity phase transition in compressed sensing. Zbl 1365.94094Donoho, David L.; Maleki, Arian; Montanari, Andrea 20 2011 Counting the faces of randomly-projected hypercubes and orthants, with applications. Zbl 1191.52004Donoho, David L.; Tanner, Jared 39 2010 Exponential bounds implying construction of compressed sensing matrices, error-correcting codes, and neighborly polytopes by random sampling. Zbl 1366.94233Donoho, David L.; Tanner, Jared 6 2010 An invitation to reproducible computational research. Zbl 1437.62445Donoho, David L. 2 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 258 2009 Counting faces of randomly projected polytopes when the projection radically lowers dimension. Zbl 1206.52010Donoho, David L.; Tanner, Jared 53 2009 Observed universality of phase transitions in high-dimensional geometry, with implications for modern data analysis and signal processing. Zbl 1185.94029Donoho, David; Tanner, Jared 50 2009 Feature selection by higher criticism thresholding achieves the optimal phase diagram. Zbl 1185.62113Donoho, David; Jin, Jiashun 24 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 59 2008 Higher criticism thresholding: optimal feature selection when useful features are rare and weak. Zbl 1357.62212Donoho, David; Jin, Jiashun 42 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. 9 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. 10 2007 Compressed sensing. Zbl 1288.94016Donoho, David L. 1,231 2006 Stable recovery of sparse overcomplete representations in the presence of noise. Zbl 1288.94017Donoho, David L.; Elad, Michael; Temlyakov, Vladimir N. 201 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. 185 2006 Adapting to unknown sparsity by controlling the false discovery rate. Zbl 1092.62005Abramovich, Felix; Benjamini, Yoav; Donoho, David L.; Johnstone, Iain M. 111 2006 Fast discrete curvelet transforms. Zbl 1122.65134Candès, Emmanuel; Demanet, Laurent; Donoho, David; Ying, Lexing 110 2006 High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Zbl 1095.52500Donoho, David L. 43 2006 Extensions of compressed sensing. Zbl 1163.94399Tsaig, Yaakov; Donoho, David L. 42 2006 Adaptive multiscale detection of filamentary structures in a background of uniform random points. Zbl 1091.62095Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 19 2006 On the stability of the basis pursuit in the presence of noise. Zbl 1163.94329Donoho, David L.; Elad, Michael 19 2006 Fast and accurate polar Fourier transform. Zbl 1107.65127Averbuch, A.; Coifman, R. R.; Donoho, D. L.; Elad, M.; Israeli, M. 16 2006 Asymptotic minimaxity of false discovery rate thresholding for sparse exponential data. Zbl 1114.62010Donoho, 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. 9 2006 Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA). Zbl 1081.68732Elad, M.; Starck, J.-L.; Querre, P.; Donoho, D. L. 92 2005 Image decomposition via the combination of sparse representations and a variational approach. Zbl 1288.94012Starck, Jean-Luc; Elad, Michael; Donoho, David L. 84 2005 Continuous curvelet transform. I: Resolution of the wavefront set. Zbl 1086.42022Candès, Emmanuel J.; Donoho, David L. 69 2005 Continuous curvelet transform. II: Discretization and frames. Zbl 1086.42023Candès, Emmanuel J.; Donoho, David L. 55 2005 Multiscale representations for manifold-valued data. Zbl 1236.65166Rahman, Inam Ur; Drori, Iddo; Stodden, Victoria C.; Donoho, David L.; Schröder, Peter 53 2005 Neighborliness of randomly projected simplices in high dimension. Zbl 1135.60300Donoho, David L.; Tanner, Jared 50 2005 Near-optimal detection of geometric objects by fast multiscale methods. Zbl 1282.94014Arias-Castro, Ery; Donoho, David L.; Huo, Xiaoming 46 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 9 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 A fast wavelet algorithm for image deblurring. Zbl 1078.65573Donoho, D. L.; Raimondo, M. E. 3 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 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. 246 2004 Higher criticism for detecting sparse heterogeneous mixtures. Zbl 1092.62051Donoho, David; Jin, Jiashun 174 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 281 2003 Hessian eigenmaps: locally linear embedding techniques for high-dimensional data. Zbl 1130.62337Donoho, David L.; Grimes, Carrie 163 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. 4 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. 98 2002 Recovering edges in ill-posed inverse problems: Optimality of curvelet frames. Zbl 1101.62335Candès, Emmanuel J.; Donoho, David L. 44 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. 286 2001 Uncertainty principles and ideal atomic decomposition. Zbl 1019.94503Donoho, David L.; Huo, Xiaoming 200 2001 Sparse components of images and optimal atomic decompositions. Zbl 0995.65150Donoho, D. L. 58 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. 8 2000 Atomic decomposition by basis pursuit. Zbl 0919.94002Chen, Scott Shaobing; Donoho, David L.; Saunders, Michael A. 499 1999 Ridgelets: a key to higher-dimensional intermittency? Zbl 1082.42503Candès, Emmanuel J.; Donoho, David L. 99 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 6 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. 216 1998 Data compression and harmonic analysis. Zbl 1125.94311Donoho, David L.; Vetterli, Martin; DeVore, R. A.; Daubechies, Ingrid 39 1998 CART and best-ortho-basis: a connection. Zbl 0942.62044Donoho, David L. 37 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 281 1996 Unconditional bases and bit-level compression. Zbl 0936.62004Donoho, David L. 23 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. 389 1995 De-noising by soft-thresholding. Zbl 0820.62002Donoho, David L. 382 1995 Wavelet shrinkage: Asymptopia? Zbl 0827.62035Donoho, David L.; Johnstone, Iain M.; Kerkyacharian, Gérard; Picard, Dominique 241 1995 Nonlinear solution of linear inverse problems by wavelet-vaguelette decomposition. Zbl 0826.65117Donoho, David L. 150 1995 Translation-invariant de-noising. Zbl 0866.94008Coifman, R. R.; Donoho, D. L. 107 1995 WaveLab and reproducible research. Zbl 0828.62001Buckheit, Jonathan B.; Donoho, David L. 21 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. 806 1994 Minimax risk over \(l_ p\)-balls for \(l_ q\)-error. Zbl 0802.62006Donoho, D. L.; Johnstone, I. M. 69 1994 Statistical estimation and optimal recovery. Zbl 0805.62014Donoho, David L. 65 1994 ...and 24 more Documents all cited Publications top 5 cited Publications all top 5 Cited by 8,462 Authors 44 Cai, Tony Tony 40 Donoho, David Leigh 37 Kutyniok, Gitta 33 Chesneau, Christophe 31 Shen, Zuowei 28 Arias-Castro, Ery 28 Candès, Emmanuel J. 27 Labate, Demetrio 26 Grohs, Philipp 26 Hall, Peter Gavin 25 Mejjaoli, Hatem 25 Osher, Stanley Joel 25 Tsybakov, Alexandre B. 25 Zuo, Yijun 23 Low, Mark G. 23 Rauhut, Holger 22 Efromovich, Sam 22 Fan, Jianqing 22 Steidl, Gabriele 21 Picard, Dominique B. 21 Rousseeuw, Peter J. 20 Fadili, Jalal M. 20 Juditsky, Anatoli B. 19 Cai, Jian-Feng 19 Jin, Jiashun 19 Kutz, J. Nathan 19 Pensky, Marianna 19 Peyré, Gabriel 19 Vidakovic, Brani 19 Xiu, Naihua 18 Amat, Sergio P. 18 Guo, Kanghui 18 Kerkyacharian, Gérard 18 Munk, Axel 18 Shestakov, O. V. 17 Wasserman, Larry Alan 16 Brunton, Steven L. 16 Elad, Michael 16 Krahmer, Felix 16 Nemirovski, Arkadi S. 16 Yuan, Xiaoming 15 Brown, Lawrence David 15 Chen, Wengu 15 Dong, Bin 15 Huang, Ting-Zhu 15 Johnstone, Iain Murray 15 Li, Linyuan 15 Li, Song 15 Peng, Jigen 15 Shen, Lixin 15 Tibshirani, Robert John 15 Zhang, Cun-Hui 14 Davies, Patrick Laurie 14 Feng, Xiangchu 14 Kong, Lingchen 14 Sapatinas, Theofanis 14 Tibshirani, Ryan J. 14 Verzelen, Nicolas 14 Zhou, Harrison H. 13 Antoniadis, Anestis 13 Coifman, Ronald Raphaël 13 Comte, Fabienne 13 Dalalyan, Arnak S. 13 Doosti, Hassan 13 Dyn, Nira 13 Huo, Xiaoming 13 Lepskiĭ, Oleg Vital’evich 13 Liu, Youming 13 Needell, Deanna 13 Van de Geer, Sara Anna 13 Van der Vaart, Adrianus Willem 13 Weinmann, Andreas 12 Daubechies, Ingrid Chantal 12 Fornasier, Massimo 12 Gribonval, Rémi 12 Hansen, Anders C. 12 Huang, Jian 12 Hubert, Mia 12 Ji, Hui 12 Kou, Junke 12 Lorenz, Dirk Alfred 12 Mixon, Dustin G. 12 Singer, Amit 12 von Sachs, Rainer 12 Wainwright, Martin J. 12 Zhuang, Xiaosheng 11 Abramovich, Felix P. 11 Bigot, Jéremie 11 Chan, Raymond Hon-Fu 11 Dahlke, Stephan 11 Dümbgen, Lutz 11 Gijbels, Irène 11 Lim, Wang-Q 11 Lou, Yifei 11 Loubes, Jean-Michel 11 Ma, Shiqian 11 Meinshausen, Nicolai 11 Saab, Rayan 11 Starck, Jean-Luc 11 Tanner, Jared W. ...and 8,362 more Authors all top 5 Cited in 567 Serials 454 The Annals of Statistics 327 Applied and Computational Harmonic Analysis 145 Electronic Journal of Statistics 128 Computational Statistics and Data Analysis 119 Journal of Statistical Planning and Inference 118 International Journal of Wavelets, Multiresolution and Information Processing 116 Statistics & Probability Letters 110 Journal of Multivariate Analysis 103 SIAM Journal on Imaging Sciences 83 Mathematical Problems in Engineering 81 Bernoulli 81 The Journal of Fourier Analysis and Applications 70 Journal of Mathematical Imaging and Vision 66 Journal of Computational and Applied Mathematics 66 Communications in Statistics. 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Académie des Sciences, Paris 13 Journal of the Korean Statistical Society 12 Applicable Analysis 12 Communications on Pure and Applied Mathematics ...and 467 more Serials all top 5 Cited in 61 Fields 2,704 Statistics (62-XX) 1,563 Numerical analysis (65-XX) 1,552 Information and communication theory, circuits (94-XX) 934 Harmonic analysis on Euclidean spaces (42-XX) 887 Computer science (68-XX) 822 Operations research, mathematical programming (90-XX) 407 Probability theory and stochastic processes (60-XX) 246 Biology and other natural sciences (92-XX) 228 Linear and multilinear algebra; matrix theory (15-XX) 221 Approximations and expansions (41-XX) 196 Functional analysis (46-XX) 187 Calculus of variations and optimal control; optimization (49-XX) 172 Systems theory; control (93-XX) 144 Operator theory (47-XX) 132 Partial differential equations (35-XX) 91 Integral transforms, operational calculus (44-XX) 77 Combinatorics (05-XX) 76 Game theory, economics, finance, and other social and behavioral sciences (91-XX) 74 Abstract harmonic analysis (43-XX) 73 Fluid mechanics (76-XX) 59 Convex and discrete geometry (52-XX) 59 Geophysics (86-XX) 51 Dynamical systems and ergodic theory (37-XX) 46 Quantum theory (81-XX) 38 Real functions (26-XX) 35 Ordinary differential equations (34-XX) 34 Integral equations (45-XX) 34 Differential geometry (53-XX) 29 Global analysis, analysis on manifolds (58-XX) 28 Number theory (11-XX) 28 Statistical mechanics, structure of matter (82-XX) 25 Functions of a complex variable (30-XX) 25 Special functions (33-XX) 25 Mechanics of deformable solids (74-XX) 24 Optics, electromagnetic theory (78-XX) 22 Topological groups, Lie groups (22-XX) 18 Measure and integration (28-XX) 15 Astronomy and astrophysics (85-XX) 14 Geometry (51-XX) 12 Group theory and generalizations (20-XX) 11 General and overarching topics; collections (00-XX) 11 Algebraic geometry (14-XX) 10 Manifolds and cell complexes (57-XX) 10 Mechanics of particles and systems (70-XX) 9 Algebraic topology (55-XX) 8 History and biography (01-XX) 5 Several complex variables and analytic spaces (32-XX) 5 Difference and functional equations (39-XX) 4 Associative rings and algebras (16-XX) 4 General topology (54-XX) 4 Classical thermodynamics, heat transfer (80-XX) 3 Order, lattices, ordered algebraic structures (06-XX) 3 Commutative algebra (13-XX) 2 Mathematical logic and foundations (03-XX) 2 Nonassociative rings and algebras (17-XX) 2 Potential theory (31-XX) 2 Sequences, series, summability (40-XX) 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) Citations by Year Wikidata Timeline The data are displayed as stored in Wikidata under a Creative Commons CC0 License. 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