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Most cited papers in Sparse and Compressive Sensing Techniques

Sparse and Compressive Sensing Techniques

What are the most cited papers in Sparse and Compressive Sensing Techniques?

The most cited paper in Sparse and Compressive Sensing Techniques is "Compressed sensing" (David L. Donoho, 2006), with 23,533 citations. Next come "Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images" (18,093) and "Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information" (15,931).

Showing 50 of 99 papers. Every paper with more than 1,567 citations is listed.

Most cited papers, sortable by citations and release date
#Paper
1 Compressed sensing David L. Donoho · IEEE Transactions on Information Theory Apr 2006 23,533
2 Stochastic Relaxation, Gibbs Distributions, and the Bayesian Restoration of Images Stuart Geman, Donald Geman · IEEE Transactions on Pattern Analysis and Machine Intelligence Nov 1984 18,093
3 Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information Emmanuel J. Candès, Justin K. Romberg, Terence Tao · IEEE Transactions on Information Theory 25 Jan 2006 15,931
4 Regularization Paths for Generalized Linear Models via Coordinate Descent. Jerome H. Friedman, Trevor Hastie, Rob Tibshirani · PubMed Open access 2010 14,024
5 A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems Amir Beck, Marc Teboulle · SIAM Journal on Imaging Sciences 2009 12,347
6 An Introduction To Compressive Sampling Emmanuel J. Candès, Michael B. Wakin · IEEE Signal Processing Magazine Mar 2008 10,167
7 Signal Recovery From Random Measurements Via Orthogonal Matching Pursuit Joel A. Tropp, Anna C. Gilbert · IEEE Transactions on Information Theory Dec 2007 9,832
8 De-noising by soft-thresholding David L. Donoho · IEEE Transactions on Information Theory May 1995 9,709
9 $rm K$-SVD: An Algorithm for Designing Overcomplete Dictionaries for Sparse Representation Michal Aharon, Michael Elad, Alfred Marcel Bruckstein · IEEE Transactions on Signal Processing 18 Oct 2006 9,612
10 Robust Face Recognition via Sparse Representation John N. Wright, A. Yang, Arvind Ganesh et al. · IEEE Transactions on Pattern Analysis and Machine Intelligence 14 Jan 2009 9,546
11 Adaptive Subgradient Methods for Online Learning and Stochastic Optimization John C. Duchi, Elad Hazan, Yoram Singer 2010 8,604
12 Ideal spatial adaptation by wavelet shrinkage David L. Donoho, Iain M. Johnstone · Biometrika Sep 1994 7,913
13 Convergence Properties of the Nelder--Mead Simplex Method in Low Dimensions Jeffrey C. Lagarias, James A. Reeds, Margaret H. Wright et al. · SIAM Journal on Optimization 1998 7,523
14 Decoding by Linear Programming Emmanuel J. Candès, Terence Tao · IEEE Transactions on Information Theory 22 Nov 2005 7,371
15 Stable signal recovery from incomplete and inaccurate measurements Emmanuel J. Candès, Justin Romberg, Terence Tao · Communications on Pure and Applied Mathematics Mar 2006 7,249
16 Stochastic gradient boosting Jerome H. Friedman · Computational Statistics & Data Analysis Feb 2002 7,206
17 Sparse MRI: The application of compressed sensing for rapid MR imaging Michael S. Lustig, David L. Donoho, John M. Pauly · Magnetic Resonance in Medicine Open access 29 Oct 2007 7,086
18 Atomic Decomposition by Basis Pursuit Scott Shaobing Chen, David L. Donoho, Michael A. Saunders · SIAM Journal on Scientific Computing 1998 7,009
19 Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies? Emmanuel J. Candès, Terence Tao · IEEE Transactions on Information Theory Dec 2006 6,984
20 Robust principal component analysis? Emmanuel J. Candès, Xiaodong Li, Yi Ma et al. · Journal of the ACM May 2011 6,962
21 N4ITK: Improved N3 Bias Correction Nicholas J. Tustison, Brian Avants, Philip A. Cook et al. · IEEE Transactions on Medical Imaging Open access 9 Apr 2010 6,579
22 Image Denoising Via Sparse and Redundant Representations Over Learned Dictionaries Michael Elad, Michal Aharon · IEEE Transactions on Image Processing 15 Nov 2006 5,442
23 Image Super-Resolution Via Sparse Representation Jianchao Yang, John N. Wright, Thomas S. Huang et al. · IEEE Transactions on Image Processing 26 May 2010 5,333
24 Optimal approximations by piecewise smooth functions and associated variational problems David B. Mumford, Jayant M. Shah · Communications on Pure and Applied Mathematics Open access Jul 1989 5,245
25 Exact Matrix Completion via Convex Optimization Emmanuel J. Candès, Benjamin Recht · Foundations of Computational Mathematics Open access 2 Apr 2009 5,176
26 An iterative thresholding algorithm for linear inverse problems with a sparsity constraint Ingrid Daubechies, Michel Defrise, Christine De Mol · Communications on Pure and Applied Mathematics 26 Aug 2004 5,044
27 Enhancing Sparsity by Reweighted ℓ 1 Minimization Emmanuel J. Candès, Michael B. Wakin, Stephen Boyd · Journal of Fourier Analysis and Applications 14 Oct 2008 5,007
28 CoSaMP: Iterative signal recovery from incomplete and inaccurate samples Deanna Needell, Joel A. Tropp · Applied and Computational Harmonic Analysis Open access 23 Jul 2008 4,457
29 A First-Order Primal-Dual Algorithm for Convex Problems with Applications to Imaging Antonin Chambolle, Thomas Pock · Journal of Mathematical Imaging and Vision 20 Dec 2010 4,454
30 Orthogonal matching pursuit: recursive function approximation with applications to wavelet decomposition Yagyensh C. Pati, R. Rezaiifar, Perinkulam S. Krishnaprasad Conference paper 30 Dec 2002 4,414
31 Compressive Sensing [Lecture Notes] Richard G. Baraniuk · IEEE Signal Processing Magazine Jul 2007 4,190
32 Finding Structure with Randomness: Probabilistic Algorithms for Constructing Approximate Matrix Decompositions Nathan Halko, Per‐Gunnar Martinsson, Joel A. Tropp · SIAM Review 2011 4,178
33 Locality Preserving Projections Xiaofei He, Partha Niyogi 9 Dec 2003 3,953
34 The restricted isometry property and its implications for compressed sensing Emmanuel J. Candès · Comptes Rendus Mathématique Open access 11 Apr 2008 3,808
35 Distributed Subgradient Methods for Multi-Agent Optimization Angelia Nedić, Asuman Ozdaglar · IEEE Transactions on Automatic Control 2009 3,800
36 Semidefinite Relaxation of Quadratic Optimization Problems Zhi-Quan Tom Luo, Wing‐Kin Ma, Anthony Man–Cho So et al. · IEEE Signal Processing Magazine 23 Apr 2010 3,769
37 Greed is Good: Algorithmic Results for Sparse Approximation Joel A. Tropp · IEEE Transactions on Information Theory 28 Sep 2004 3,747
38 Robust Recovery of Subspace Structures by Low-Rank Representation Guangcan Liu, Zhouchen Lin, Shuicheng Yan et al. · IEEE Transactions on Pattern Analysis and Machine Intelligence Open access 10 Apr 2012 3,718
39 Single-pixel imaging via compressive sampling Marco F. Duarte, Mark A. Davenport, Dharmpal Takhar et al. · IEEE Signal Processing Magazine Mar 2008 3,637
40 Gradient Projection for Sparse Reconstruction: Application to Compressed Sensing and Other Inverse Problems Mário A. T. Figueiredo, Robert D. Nowak, Stephen J. Wright · IEEE Journal of Selected Topics in Signal Processing Dec 2007 3,573
41 On Single Image Scale-Up Using Sparse-Representations Roman Zeyde, Michael Elad, Matan Protter · Lecture notes in computer science Conference paper 2012 3,439
42 Sparse Subspace Clustering: Algorithm, Theory, and Applications Ehsan Elhamifar, René Vidal · IEEE Transactions on Pattern Analysis and Machine Intelligence 17 Sep 2013 3,201
43 Optimally sparse representation in general (nonorthogonal) dictionaries via ℓ 1 minimization David L. Donoho, Michael Elad · Proceedings of the National Academy of Sciences Open access 21 Feb 2003 2,975
44 Efficient Inference in Fully Connected CRFs with Gaussian Edge Potentials Philipp Krähenbühl, Vladlen Koltun · arXiv (Cornell University) PreprintOpen access 20 Oct 2012 2,972
45 On the Douglas—Rachford splitting method and the proximal point algorithm for maximal monotone operators Jonathan Eckstein, Dimitri P. Bertsekas · Mathematical Programming Open access Apr 1992 2,923
46 The Convergence of a Class of Double-rank Minimization Algorithms 1. General Considerations C. G. Broyden · IMA Journal of Applied Mathematics 1970 2,913
47 A unified statistical approach for determining significant signals in images of cerebral activation Keith J. Worsley, Sean Marrett, Peter Neelin et al. · Human Brain Mapping 1996 2,908
48 New Support Vector Algorithms Bernhard Schölkopf, Alex J. Smola, Robert C. Williamson et al. · Neural Computation May 2000 2,831
49 Signal Recovery by Proximal Forward-Backward Splitting Patrick L. Combettes, Valérie R. Wajs · Multiscale Modeling and Simulation 2005 2,708
50 Distance Metric Learning with Application to Clustering with Side-Information Eric P. Xing, Michael I. Jordan, Stuart Russell et al. 2002 2,702

Citations are OpenAlex's own counts, from its 2026-09-23 snapshot, so the ranking can differ from Google Scholar or Web of Science. A paper is listed for a field when OpenAlex files it under one of the field's topics; retracted papers and papers whose citation count cannot be traced to citing works are left out, and a preprint and the article it became are shown once. Release dates are OpenAlex's: where a source gave only a month or a year, that is what is shown. How the lists are chosen.