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Sparsity-Aware Learning and Compressed Sensing: An Overview
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“For a small item of a vector, the p-norm retains a relatively larger weight than the 2-norm.Therefore, a small item significantly contributes to the error function and tends to be penalised by being pushed to zero, resulting in a sparse solution [110].”
From Review on the new development of vibration-based damage identification for civil engineering structures: 2010–2019 (2021) · cites this paper as [110]
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Cites
Regression shrinkage and selection via the lasso
Tibshirani, R. (1996) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1996.tb02080.x · Cited by 51,482
Nonlinear total variation based noise removal algorithms
Rudin, L. I., Osher, S., & Fatemi, E. (1992) · Physica D: Nonlinear Phenomena · doi:10.1016/0167-2789(92)90242-f · Cited by 15,704
Candes, E. J., Romberg, J., & Tao, T. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2005.862083 · Cited by 15,639
A Fast Iterative Shrinkage-Thresholding Algorithm for Linear Inverse Problems
Beck, A., & Teboulle, M. (2009) · SIAM Journal on Imaging Sciences · doi:10.1137/080716542 · Cited by 11,952
An Introduction To Compressive Sampling
Candes, E. J., & Wakin, M. B. (2008) · IEEE Signal Processing Magazine · doi:10.1109/msp.2007.914731 · Cited by 10,017
Efron, B., Hastie, T., Johnstone, I., & Tibshirani, R. (2004) · The Annals of Statistics · doi:10.1214/009053604000000067 · Cited by 9,357
Matching pursuits with time-frequency dictionaries
Mallat, S. G., & Zhang, Z. (1993) · IEEE Transactions on Signal Processing · doi:10.1109/78.258082 · Cited by 9,112
Variable Selection via Nonconcave Penalized Likelihood and its Oracle Properties
Fan, J., & Li, R. (2001) · Journal of the American Statistical Association · doi:10.1198/016214501753382273 · Cited by 8,900
Ideal spatial adaptation by wavelet shrinkage
Donoho, D. L., & Johnstone, I. M. (1994) · Biometrika · doi:10.1093/biomet/81.3.425 · Cited by 8,760
The adaptive lasso and its oracle properties
Zou, H. (2006) · Journal of the American Statistical Association · doi:10.1198/016214506000000735 · Cited by 7,470
Model Selection and Estimation in Regression with Grouped Variables
Yuan, M., & Lin, Y. (2006) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.1467-9868.2005.00532.x · Cited by 7,261
Decoding by Linear Programming
Candes, E. J., & Tao, T. (2005) · IEEE Transactions on Information Theory · doi:10.1109/tit.2005.858979 · Cited by 7,121
Stable signal recovery from incomplete and inaccurate measurements
Candès, E. J., Romberg, J. K., & Tao, T. (2006) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.20124 · Cited by 7,036
Robust principal component analysis?
Candès, E. J., Li, X., Ma, Y., & Wright, J. (2011) · Journal of the ACM · doi:10.1145/1970392.1970395 · Cited by 6,921
Atomic Decomposition by Basis Pursuit
Chen, S. S., Donoho, D. L., & Saunders, M. A. (1998) · SIAM Journal on Scientific Computing · doi:10.1137/s1064827596304010 · Cited by 6,845
Near-Optimal Signal Recovery From Random Projections: Universal Encoding Strategies?
Candes, E. J., & Tao, T. (2006) · IEEE Transactions on Information Theory · doi:10.1109/tit.2006.885507 · Cited by 6,839
A Singular Value Thresholding Algorithm for Matrix Completion
Cai, J.-F., Candès, E. J., & Shen, Z. (2010) · SIAM Journal on Optimization · doi:10.1137/080738970 · Cited by 5,809
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint.
Daubechies, I., Defrise, M., & De Mol, C. (2004) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.20042 · Cited by 4,958
Exact Matrix Completion via Convex Optimization
Candès, E. J., & Recht, B. (2009) · Foundations of Computational Mathematics · doi:10.1007/s10208-009-9045-5 · Cited by 4,877
Enhancing Sparsity by Reweighted ℓ 1 Minimization
Candès, E. J., Wakin, M. B., & Boyd, S. P. (2008) · Journal of Fourier Analysis and Applications · doi:10.1007/s00041-008-9045-x · Cited by 4,863
CoSaMP: Iterative signal recovery from incomplete and inaccurate samples
Needell, D., & Tropp, J. A. (2009) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2008.07.002 · Cited by 4,326
The Split Bregman Method for L1-Regularized Problems
Goldstein, T., & Osher, S. (2009) · SIAM Journal on Imaging Sciences · doi:10.1137/080725891 · Cited by 4,282
Greed is Good: Algorithmic Results for Sparse Approximation
Tropp, J. A. (2004) · IEEE Transactions on Information Theory · doi:10.1109/tit.2004.834793 · Cited by 3,635
Monotone Operators and the Proximal Point Algorithm
Rockafellar, R. T. (1976) · SIAM Journal on Control and Optimization · doi:10.1137/0314056 · Cited by 3,623
A Survey of Collaborative Filtering Techniques
Su, X., & Khoshgoftaar, T. M. (2009) · Advances in Artificial Intelligence · doi:10.1155/2009/421425 · Cited by 3,602
Entropy-based algorithms for best basis selection
Coifman, R. R., & Wickerhauser, M. V. (1992) · IEEE Transactions on Information Theory · doi:10.1109/18.119732 · Cited by 3,188
Sparse Approximate Solutions to Linear Systems
Natarajan, B. K. (1995) · SIAM Journal on Computing · doi:10.1137/s0097539792240406 · Cited by 2,817
Signal Recovery by Proximal Forward-Backward Splitting
Combettes, P. L., & Wajs, V. R. (2005) · Multiscale Modeling & Simulation · doi:10.1137/050626090 · Cited by 2,678
Simultaneous analysis of Lasso and Dantzig selector
Bickel, P. J., Ritov, Y., & Tsybakov, A. B. (2009) · The Annals of Statistics · doi:10.1214/08-aos620 · Cited by 2,412
Subspace Pursuit for Compressive Sensing Signal Reconstruction
Dai, W., & Milenkovic, O. (2009) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2016006 · Cited by 2,388
A Simple Proof of the Restricted Isometry Property for Random Matrices
Baraniuk, R., Davenport, M., DeVore, R., & Wakin, M. (2008) · Constructive Approximation · doi:10.1007/s00365-007-9003-x · Cited by 2,372
A class of nonharmonic Fourier series
Duffin, R. J., & Schaeffer, A. C. (1952) · Transactions of the American Mathematical Society · doi:10.1090/s0002-9947-1952-0047179-6 · Cited by 2,277
Iterative hard thresholding for compressed sensing
Blumensath, T., & Davies, M. E. (2009) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2009.04.002 · Cited by 2,275
The curvelet transform for image denoising
Starck, J.-L., Candes, E. J., & Donoho, D. L. (2002) · IEEE Transactions on Image Processing · doi:10.1109/tip.2002.1014998 · Cited by 2,253
From Sparse Solutions of Systems of Equations to Sparse Modeling of Signals and Images
Bruckstein, A. M., Donoho, D. L., & Elad, M. (2009) · SIAM Review · doi:10.1137/060657704 · Cited by 2,183
An Interior-Point Method for Large-Scale -Regularized Least Squares
Kim, S.-J., Koh, K., Lustig, M., Boyd, S., & Gorinevsky, D. (2007) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2007.910971 · Cited by 2,083
The Power of Convex Relaxation: Near-Optimal Matrix Completion
Candes, E. J., & Tao, T. (2010) · IEEE Transactions on Information Theory · doi:10.1109/tit.2010.2044061 · Cited by 2,060
Uncertainty principles and ideal atomic decomposition
Donoho, D. L., & Huo, X. (2001) · IEEE Transactions on Information Theory · doi:10.1109/18.959265 · Cited by 1,949
Probing the Pareto Frontier for Basis Pursuit Solutions
van den Berg, E., & Friedlander, M. P. (2009) · SIAM Journal on Scientific Computing · doi:10.1137/080714488 · Cited by 1,939
Wireless sensor network localization techniques
Mao, G., Fidan, B., & Anderson, B. D. O. (2007) · Computer Networks · doi:10.1016/j.comnet.2006.11.018 · Cited by 1,863
Sparse Reconstruction by Separable Approximation
Wright, S. J., Nowak, R. D., & Figueiredo, M. A. T. (2009) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2009.2016892 · Cited by 1,854
Sparse signal reconstruction from limited data using FOCUSS: a re-weighted minimum norm algorithm
Gorodnitsky, I. F., & Rao, B. D. (1997) · IEEE Transactions on Signal Processing · doi:10.1109/78.558475 · Cited by 1,834
Wavelet Shrinkage: Asymptopia?
Donoho, D. L., Johnstone, I. M., Kerkyacharian, G., & Picard, D. (1995) · Journal of the Royal Statistical Society Series B: Statistical Methodology · doi:10.1111/j.2517-6161.1995.tb02032.x · Cited by 1,749
The Dantzig selector: Statistical estimation when p is much larger than n
Candes, E., & Tao, T. (2007) · The Annals of Statistics · doi:10.1214/009053606000001523 · Cited by 1,747
Candes, E. J., & Plan, Y. (2010) · Proceedings of the IEEE · doi:10.1109/jproc.2009.2035722 · Cited by 1,709
Bregman Iterative Algorithms for $\ell_1$-Minimization with Applications to Compressed Sensing
Yin, W., Osher, S., Goldfarb, D., & Darbon, J. (2008) · SIAM Journal on Imaging Sciences · doi:10.1137/070703983 · Cited by 1,414
Sampling-50 years after Shannon
Unser, M. (2000) · Proceedings of the IEEE · doi:10.1109/5.843002 · Cited by 1,358
Block-Sparse Signals: Uncertainty Relations and Efficient Recovery
Eldar, Y. C., Kuppinger, P., & Bolcskei, H. (2010) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2010.2044837 · Cited by 1,313
Model-Based Compressive Sensing
Baraniuk, R. G., Cevher, V., Duarte, M. F., & Hegde, C. (2010) · IEEE Transactions on Information Theory · doi:10.1109/tit.2010.2040894 · Cited by 1,308
Dictionaries for Sparse Representation Modeling
Rubinstein, R., Bruckstein, A. M., & Elad, M. (2010) · Proceedings of the IEEE · doi:10.1109/jproc.2010.2040551 · Cited by 1,306
Iteratively reweighted least squares minimization for sparse recovery
Daubechies, I., DeVore, R., Fornasier, M., & Güntürk, C. S. (2010) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.20303 · Cited by 1,295
Lower bounds on the maximum cross correlation of signals (Corresp.)
Welch, L. (1974) · IEEE Transactions on Information Theory · doi:10.1109/tit.1974.1055219 · Cited by 1,291
Painless nonorthogonal expansions
Daubechies, I., Grossmann, A., & Meyer, Y. (1986) · Journal of Mathematical Physics · doi:10.1063/1.527388 · Cited by 1,290
Asymptotics for lasso-type estimators
Fu, W., & Knight, K. (2000) · The Annals of Statistics · doi:10.1214/aos/1015957397 · Cited by 1,276
An EM algorithm for wavelet-based image restoration
Figueiredo, M. A. T., & Nowak, R. D. (2003) · IEEE Transactions on Image Processing · doi:10.1109/tip.2003.814255 · Cited by 1,219
Compressed Channel Sensing: A New Approach to Estimating Sparse Multipath Channels
Bajwa, W. U., Haupt, J., Sayeed, A. M., & Nowak, R. (2010) · Proceedings of the IEEE · doi:10.1109/jproc.2010.2042415 · Cited by 1,152
Structured Compressed Sensing: From Theory to Applications
Duarte, M. F., & Eldar, Y. C. (2011) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2011.2161982 · Cited by 1,128
Beyond Nyquist: Efficient Sampling of Sparse Bandlimited Signals
Tropp, J. A., Laska, J. N., Duarte, M. F., Romberg, J. K., & Baraniuk, R. G. (2010) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2034811 · Cited by 1,089
Sampling signals with finite rate of innovation
Vetterli, M., Marziliano, P., & Blu, T. (2002) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2002.1003065 · Cited by 1,079
ROBPCA: A New Approach to Robust Principal Component Analysis
Hubert, M., Rousseeuw, P. J., & Vanden Branden, K. (2005) · Technometrics · doi:10.1198/004017004000000563 · Cited by 1,052
Compressed sensing and best 𝑘-term approximation
Cohen, A., Dahmen, W., & DeVore, R. (2008) · Journal of the American Mathematical Society · doi:10.1090/s0894-0347-08-00610-3 · Cited by 1,002
Sparse representations in unions of bases
Gribonval, R., & Nielsen, M. (2003) · IEEE Transactions on Information Theory · doi:10.1109/tit.2003.820031 · Cited by 960
Simultaneous cartoon and texture image inpainting using morphological component analysis (MCA)
Elad, M., Starck, J.-L., Querre, P., & Donoho, D. L. (2005) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2005.03.005 · Cited by 904
Compressed sensing with coherent and redundant dictionaries
Candès, E. J., Eldar, Y. C., Needell, D., & Randall, P. (2011) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2010.10.002 · Cited by 898
Tosic, I., & Frossard, P. (2011) · IEEE Signal Processing Magazine · doi:10.1109/msp.2010.939537 · Cited by 897
A new approach to variable selection in least squares problems
Osborne, M. (2000) · IMA Journal of Numerical Analysis · doi:10.1093/imanum/20.3.389 · Cited by 859
NESTA: A Fast and Accurate First-Order Method for Sparse Recovery
Becker, S., Bobin, J., & Candès, E. J. (2011) · SIAM Journal on Imaging Sciences · doi:10.1137/090756855 · Cited by 848
On sparse reconstruction from Fourier and Gaussian measurements
Rudelson, M., & Vershynin, R. (2008) · Communications on Pure and Applied Mathematics · doi:10.1002/cpa.20227 · Cited by 847
Robust Modeling With Erratic Data
Claerbout, J. F., & Muir, F. (1973) · Geophysics · doi:10.1190/1.1440378 · Cited by 833
The theory of bandpass sampling
Vaughan, R. G., Scott, N. L., & White, D. R. (1991) · IEEE Transactions on Signal Processing · doi:10.1109/78.134430 · Cited by 819
Tensor completion and low-n-rank tensor recovery via convex optimization
Gandy, S., Recht, B., & Yamada, I. (2011) · Inverse Problems · doi:10.1088/0266-5611/27/2/025010 · Cited by 738
Linear Inversion of Band-Limited Reflection Seismograms
Santosa, F., & Symes, W. W. (1986) · SIAM Journal on Scientific and Statistical Computing · doi:10.1137/0907087 · Cited by 713
Analysis versus synthesis in signal priors
Elad, M., Milanfar, P., & Rubinstein, R. (2007) · Inverse Problems · doi:10.1088/0266-5611/23/3/007 · Cited by 698
Rank-Sparsity Incoherence for Matrix Decomposition
Chandrasekaran, V., Sanghavi, S., Parrilo, P. A., & Willsky, A. S. (2011) · SIAM Journal on Optimization · doi:10.1137/090761793 · Cited by 686
One-step sparse estimates in nonconcave penalized likelihood models
Zou, H., & Li, R. (2008) · The Annals of Statistics · doi:10.1214/009053607000000802 · Cited by 683
A generalized uncertainty principle and sparse representation in pairs of bases
Elad, M., & Bruckstein, A. M. (2002) · IEEE Transactions on Information Theory · doi:10.1109/tit.2002.801410 · Cited by 673
Split Bregman Methods and Frame Based Image Restoration
Cai, J.-F., Osher, S., & Shen, Z. (2010) · Multiscale Modeling & Simulation · doi:10.1137/090753504 · Cited by 670
Time-frequency localization operators: a geometric phase space approach
Daubechies, I. (1988) · IEEE Transactions on Information Theory · doi:10.1109/18.9761 · Cited by 649
A Framework for Robust Subspace Learning
De la Torre, F., & Black, M. J. (2003) · International Journal of Computer Vision · doi:10.1023/a:1023709501986 · Cited by 604
Recovering Low-Rank Matrices From Few Coefficients in Any Basis
Gross, D. (2011) · IEEE Transactions on Information Theory · doi:10.1109/tit.2011.2104999 · Cited by 602
Some remarks on greedy algorithms
DeVore, R., & Temlyakov, V. N. (1996) · Advances in Computational Mathematics · doi:10.1007/bf02124742 · Cited by 573
A Fast Alternating Direction Method for TVL1-L2 Signal Reconstruction From Partial Fourier Data
Yang, J., Zhang, Y., & Yin, W. (2010) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2010.2042333 · Cited by 571
Duarte, M. F., & Baraniuk, R. G. (2012) · IEEE Transactions on Image Processing · doi:10.1109/tip.2011.2165289 · Cited by 546
Semidefinite programming based algorithms for sensor network localization
Biswas, P., Lian, T.-C., Wang, T.-C., & Ye, Y. (2006) · ACM Transactions on Sensor Networks · doi:10.1145/1149283.1149286 · Cited by 543
Analysis of Orthogonal Matching Pursuit Using the Restricted Isometry Property
Davenport, M. A., & Wakin, M. B. (2010) · IEEE Transactions on Information Theory · doi:10.1109/tit.2010.2054653 · Cited by 519
On the convergence of the coordinate descent method for convex differentiable minimization
Luo, Z. Q., & Tseng, P. (1992) · Journal of Optimization Theory and Applications · doi:10.1007/bf00939948 · Cited by 502
Hard Thresholding Pursuit: An Algorithm for Compressive Sensing
Foucart, S. (2011) · SIAM Journal on Numerical Analysis · doi:10.1137/100806278 · Cited by 497
Interior-Point Method for Nuclear Norm Approximation with Application to System Identification
Liu, Z., & Vandenberghe, L. (2010) · SIAM Journal on Matrix Analysis and Applications · doi:10.1137/090755436 · Cited by 490
Normalized Iterative Hard Thresholding: Guaranteed Stability and Performance
Blumensath, T., & Davies, M. E. (2010) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2010.2042411 · Cited by 485
Robust PCA via Outlier Pursuit
Xu, H., Caramanis, C., & Sanghavi, S. (2012) · IEEE Transactions on Information Theory · doi:10.1109/tit.2011.2173156 · Cited by 445
Deconvolution with the l 1 norm
Taylor, H. L., Banks, S. C., & McCoy, J. F. (1979) · Geophysics · doi:10.1190/1.1440921 · Cited by 436
Sampling Moments and Reconstructing Signals of Finite Rate of Innovation: Shannon Meets Strang–Fix
Dragotti, P. L., Vetterli, M., & Blu, T. (2007) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2006.890907 · Cited by 428
Sparse Sampling of Signal Innovations
Blu, T., Dragotti, P.-L., Vetterli, M., Marziliano, P., & Coulot, L. (2008) · IEEE Signal Processing Magazine · doi:10.1109/msp.2007.914998 · Cited by 427
L1-L2 Optimization in Signal and Image Processing
Zibulevsky, M., & Elad, M. (2010) · IEEE Signal Processing Magazine · doi:10.1109/msp.2010.936023 · Cited by 426
Toeplitz Compressed Sensing Matrices With Applications to Sparse Channel Estimation
Haupt, J., Bajwa, W. U., Raz, G., & Nowak, R. (2010) · IEEE Transactions on Information Theory · doi:10.1109/tit.2010.2070191 · Cited by 424
Random Projections of Smooth Manifolds
Baraniuk, R. G., & Wakin, M. B. (2009) · Foundations of Computational Mathematics · doi:10.1007/s10208-007-9011-z · Cited by 404
Analog-to-Information Conversion via Random Demodulation
Kirolos, S., Laska, J., Wakin, M., Duarte, M., Baron, D., Ragheb, T., Massoud, Y., & Baraniuk, R. (2006) · 2006 IEEE Dallas/CAS Workshop on Design, Applications, Integration and Software · doi:10.1109/dcas.2006.321036 · Cited by 393
Chen, F., Chandrakasan, A. P., & Stojanovic, V. M. (2012) · IEEE Journal of Solid-State Circuits · doi:10.1109/jssc.2011.2179451 · Cited by 376
Sparse Recovery With Orthogonal Matching Pursuit Under RIP
Zhang, T. (2011) · IEEE Transactions on Information Theory · doi:10.1109/tit.2011.2162263 · Cited by 356
Life Beyond Bases: The Advent of Frames (Part I)
Kovacevic, J., & Chebira, A. (2007) · IEEE Signal Processing Magazine · doi:10.1109/msp.2007.4286567 · Cited by 341
Precise Undersampling Theorems
Donoho, D. L., & Tanner, J. (2010) · Proceedings of the IEEE · doi:10.1109/jproc.2010.2045630 · Cited by 317
Xampling: Signal Acquisition and Processing in Union of Subspaces
Mishali, M., Eldar, Y. C., & Elron, A. J. (2011) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2011.2161472 · Cited by 311
Uniform Uncertainty Principle for Bernoulli and Subgaussian Ensembles
Mendelson, S., Pajor, A., & Tomczak-Jaegermann, N. (2008) · Constructive Approximation · doi:10.1007/s00365-007-9005-8 · Cited by 311
Venkataramani, R., & Bresler, Y. (2000) · IEEE Transactions on Information Theory · doi:10.1109/18.868487 · Cited by 299
Nonlinear Methods of Approximation
Temlyakov, V. N. (2003) · Foundations of Computational Mathematics · doi:10.1007/s102080010029 · Cited by 290
Optimally Tuned Iterative Reconstruction Algorithms for Compressed Sensing
Maleki, A., & Donoho, D. L. (2010) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2009.2039176 · Cited by 289
A Theory for Sampling Signals From a Union of Subspaces
Lu, Y. M., & Do, M. N. (2008) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2007.914346 · Cited by 286
Practical Signal Recovery from Random Projections
Romberg, J. (2005) · Cited by 281
Online Adaptive Estimation of Sparse Signals: Where RLS Meets the $\ell_1$-Norm
Angelosante, D., Bazerque, J. A., & Giannakis, G. B. (2010) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2010.2046897 · Cited by 272
Generalizations of principal component analysis, optimization problems, and neural networks
Karhunen, J., & Joutsensalo, J. (1995) · Neural Networks · doi:10.1016/0893-6080(94)00098-7 · Cited by 270
Sampling Theorems for Signals From the Union of Finite-Dimensional Linear Subspaces
Blumensath, T., & Davies, M. E. (2009) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2013003 · Cited by 269
ADMiRA: Atomic Decomposition for Minimum Rank Approximation
Lee, K., & Bresler, Y. (2010) · IEEE Transactions on Information Theory · doi:10.1109/tit.2010.2054251 · Cited by 267
Stable Image Reconstruction Using Total Variation Minimization
Needell, D., & Ward, R. (2013) · SIAM Journal on Imaging Sciences · doi:10.1137/120868281 · Cited by 259
Mishali, M., & Eldar, Y. C. (2011) · IEEE Signal Processing Magazine · doi:10.1109/msp.2011.942308 · Cited by 223
Adaptive Learning in a World of Projections
Theodoridis, S., Slavakis, K., & Yamada, I. (2010) · IEEE Signal Processing Magazine · doi:10.1109/msp.2010.938752 · Cited by 222
Self-citationRecovering Sparse Signals Using Sparse Measurement Matrices in Compressed DNA Microarrays
Parvaresh, F., Vikalo, H., Misra, S., & Hassibi, B. (2008) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2008.924384 · Cited by 219
Robust principal component analysis by self-organizing rules based on statistical physics approach
Xu, L., & Yuille, A. (1995) · IEEE Transactions on Neural Networks · doi:10.1109/72.363442 · Cited by 214
On Recovery of Sparse Signals Via $\ell _{1}$ Minimization
Cai, T., Xu, G., & Zhang, J. (2009) · IEEE Transactions on Information Theory · doi:10.1109/tit.2009.2021377 · Cited by 208
Elad, M., Matalon, B., & Zibulevsky, M. (2007) · Applied and Computational Harmonic Analysis · doi:10.1016/j.acha.2007.02.002 · Cited by 196
Robust PCA and classification in biosciences
Hubert, M., & Engelen, S. (2004) · Bioinformatics · doi:10.1093/bioinformatics/bth158 · Cited by 195
On the rank minimization problem over a positive semidefinite linear matrix inequality
Mesbahi, M., & Papavassilopoulos, G. P. (1997) · IEEE Transactions on Automatic Control · doi:10.1109/9.554402 · Cited by 187
Signal restoration with overcomplete wavelet transforms: comparison of analysis and synthesis priors
Selesnick, I., & Figueiredo, M. A. T. (2009) · Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE · doi:10.1117/12.826663 · Cited by 183
Counting the Faces of Randomly-Projected Hypercubes and Orthants, with Applications
Donoho, D. L., & Tanner, J. (2009) · Discrete & Computational Geometry · doi:10.1007/s00454-009-9221-z · Cited by 183
Periodically nonuniform sampling of bandpass signals
Lin, Y.-P., & Vaidyanathan, P. P. (1998) · IEEE Transactions on Circuits and Systems II Analog and Digital Signal Processing · doi:10.1109/82.664240 · Cited by 183
C-HiLasso: A Collaborative Hierarchical Sparse Modeling Framework
Sprechmann, P., Ramirez, I., Sapiro, G., & Eldar, Y. C. (2011) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2011.2157912 · Cited by 182
Low-Dimensional Models for Dimensionality Reduction and Signal Recovery: A Geometric Perspective
Baraniuk, R. G., Cevher, V., & Wakin, M. B. (2010) · Proceedings of the IEEE · doi:10.1109/jproc.2009.2038076 · Cited by 175
Signal Recovery and the Large Sieve
Donoho, D. L., & Logan, B. F. (1992) · SIAM Journal on Applied Mathematics · doi:10.1137/0152031 · Cited by 171
Wavelet methods in statistics: some recent developments and their applications
Antoniadis, A. (2007) · Statistics Surveys · doi:10.1214/07-ss014 · Cited by 166
Kopsinis, Y., Slavakis, K., & Theodoridis, S. (2010) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2010.2090874 · Cited by 166
Self-citationTensor Versus Matrix Completion: A Comparison With Application to Spectral Data
Signoretto, M., de Plas, R. V., Moor, B. D., & Suykens, J. A. K. (2011) · IEEE Signal Processing Letters · doi:10.1109/lsp.2011.2151856 · Cited by 162
Compressed Imaging With a Separable Sensing Operator
Rivenson, Y., & Stern, A. (2009) · IEEE Signal Processing Letters · doi:10.1109/lsp.2009.2017817 · Cited by 158
Recovering the missing components in a large noisy low-rank matrix: application to SFM
Chen, P., & Suter, D. (2004) · IEEE Transactions on Pattern Analysis and Machine Intelligence · doi:10.1109/tpami.2004.52 · Cited by 154
Parametric Dictionary Design for Sparse Coding
Yaghoobi, M., Daudet, L., & Davies, M. E. (2009) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2009.2026610 · Cited by 126
Random Projection, Margins, Kernels, and Feature-Selection
Blum, A. L. (2006) · Lecture notes in computer science · doi:10.1007/11752790_3 · Cited by 114
Dynamic Updating for $\ell_{1}$ Minimization
Asif, M. S., & Romberg, J. K. (2010) · IEEE Journal of Selected Topics in Signal Processing · doi:10.1109/jstsp.2009.2039174 · Cited by 112
Blind decision feedback equalization for terrestrial television receivers
Ghosh, M. (1998) · Proceedings of the IEEE · doi:10.1109/5.720253 · Cited by 106
Adaptive algorithms for sparse echo cancellation
Naylor, P. A., Cui, J., & Brookes, M. (2005) · Signal Processing · doi:10.1016/j.sigpro.2005.09.015 · Cited by 103
Adaptive Combination of Proportionate Filters for Sparse Echo Cancellation
Arenas‐García, J., & Figueiras-Vidal, A. R. (2009) · IEEE Transactions on Audio Speech and Language Processing · doi:10.1109/tasl.2009.2019925 · Cited by 101
Tap-selectable decision-feedback equalization
Ariyavisitakul, S. L., Sollenberger, N. R., & Greenstein, L. J. (1997) · IEEE Transactions on Communications · doi:10.1109/26.650219 · Cited by 97
Two proposals for robust PCA using semidefinite programming
McCoy, M., & Tropp, J. A. (2011) · Electronic Journal of Statistics · doi:10.1214/11-ejs636 · Cited by 94
Slavakis, K., Yamada, I., & Ogura, N. (2006) · Numerical Functional Analysis and Optimization · doi:10.1080/01630560600884661 · Cited by 78
Self-citationAn Adaptive Greedy Algorithm With Application to Nonlinear Communications
Mileounis, G., Babadi, B., Kalouptsidis, N., & Tarokh, V. (2010) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2010.2044841 · Cited by 76
Sampling Signals from a Union of Subspaces
Lu, Y. M., & Do, M. N. (2008) · IEEE Signal Processing Magazine · doi:10.1109/msp.2007.914999 · Cited by 75
Ogura, N., & Yamada, I. (2002) · Numerical Functional Analysis and Optimization · doi:10.1081/nfa-120003674 · Cited by 73
Overcomplete image coding using iterative projection-based noise shaping
Reeves, T. H., & Kingsbury, N. G. (2003) · Proceedings - International Conference on Image Processing · doi:10.1109/icip.2002.1039041 · Cited by 70
Efficient decision feedback equalization for sparse wireless channels
Rontogiannis, A. A., & Berberidis, K. (2003) · IEEE Transactions on Wireless Communications · doi:10.1109/twc.2003.811189 · Cited by 66
Performance Analysis of Sparse Recovery Based on Constrained Minimal Singular Values
Tang, G., & Nehorai, A. (2011) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2011.2164913 · Cited by 61
Sub-Nyquist Sampling of Short Pulses
Matusiak, E., & Eldar, Y. C. (2011) · IEEE Transactions on Signal Processing · doi:10.1109/tsp.2011.2176934 · Cited by 50
Frame analysis of the discrete Gabor-scheme
Zibulski, M., & Zeevi, Y. Y. (1994) · IEEE Transactions on Signal Processing · doi:10.1109/78.285657 · Cited by 40
Compressive principal component pursuit
Wright, J. N., Ganesh, A., Min, K., & Ma, Y. (2012) · IEEE International Symposium on Information Theory (ISIT) · doi:10.1109/isit.2012.6283062 · Cited by 38
Kopsinis, Y., Aboutanios, E., Waters, D. A., & McLaughlin, S. (2010) · The Journal of the Acoustical Society of America · doi:10.1121/1.3283017 · Cited by 28
Self-citation
Research works printed but not linked: 17
- Maleki, 2011, Asymptotic analysis of complex LASSO via complex approximate message passing (CAMP), IEEE Trans. Inform. Theory
- Pinkus, 1989, vol. 93
- M. Wakin, Manifold-based signal recovery and parameter estimation from compressive measurements, 2008. preprint: http://arxiv.org/abs/1002.1247 · arXiv
- Y. Tsaig, Sparse solution of underdetermined linear systems: algorithms and applications, PhD Thesis, Stanford University, 2007.
- Hoch, 1990, Maximum entropy reconstruction of complex (phase sensitive) spectra, J. Magn. Reson., 86, 236
- Nesterov, 1983, A method for solving the convex programming problem with convergence rate O(1/k2), Dokl. Akad. Nauk SSSR, 269, 543
- S. Bakin, Adaptive regression and model selection in data mining problems, PhD Thesis, Australian National University, 1999.
- Cevher, 2010, Sparse signal recovery and acquisition with graphical models, IEEE Signal Process. Mag., 27, 92
- Langford, 2009, Sparse online learning via truncated gradient, J. Mach. Learn. Res., 10, 777
- Yamada, 2004, Hybrid steepest descent method for variational inequality problem over the fixed point set of certain quasi-nonexpansive mappings, Numer. Func. Anal. Optim., 25, 619
- Starck, 2007, The undecimated wavelet decomposition and its reconstruction, IEEE Trans. Signal Process., 16, 297
- S. Nam, M.E. Davies, M. Elad, R. Gribonval, The cosparse analysis model and algorithms, Appl. Comput. Harmon. Anal. (in press).
- Recht, 2011, A simpler approach to matrix completion, J. Mach. Learn. Res., 12, 3413
- Chen, 2011, Matrix completion via an alternating direction method, IMA J. Numer. Anal.
- Z. Lin, M. Chen, Y. Ma, The Augmented Lagrange Multiplier Method for Exact Recovery of Corrupted Low-Rank Matrices, September 2010. arXiv:1009.5055. · arXiv
- Toh, 2010, An accelerated proximal gradient algorithm for nuclear norm regularized linear least squares problems, Pac. J. Optim., 6, 615
- Yuan, 2009, Sparse and low-rank matrix decomposition via alternating direction methods, Pac. J. Optim
Cited by
Hou, R., & Xia, Y. (2021) · Journal of Sound and Vibration · doi:10.1016/j.jsv.2020.115741 · Cited by 674
Structural damage detection based on l 1 regularization using natural frequencies and mode shapes
Hou, R., Xia, Y., & Zhou, X. (2018) · Structural Control and Health Monitoring · doi:10.1002/stc.2107 · Cited by 127
L 1 regularization approach to structural damage detection using frequency data
Zhou, X.-Q., Xia, Y., & Weng, S. (2015) · Structural Health Monitoring · doi:10.1177/1475921715604386 · Cited by 99
Metadata
- Authors
- Theodoridis, S., Kopsinis, Y., & Slavakis, K.
- Affiliations
- National and Kapodistrian University of Athens (GR)
- University of Minnesota (US)
- Corresponding author
- Theodoridis, Sergios
- Kopsinis, Yannis
- Slavakis, Konstantinos
- Venue
- Academic Press Library in Signal Processing
- Publisher
- Elsevier
- Published
- 2014
- Pages
- 1271-1377
- ISSN
- 2351-9819 (ISSN-L)
- OpenAlex
- W2162231089
- Cited by
- 14
- References
- 151
- Citations by year
- 2025: 1 · 2023: 2 · 2021: 2 · 2020: 1 · 2018: 2 · 2017: 2 · 2016: 2 · 2015: 2
- FWCI
- 5.93
- Type
- book chapter
- Language
- en
- Open access
- closed
- Locations
- Academic press library in signal processing (publishedVersion)
- Topics
- Physical Sciences › Computer Science › Signal Processing › Sparse and Compressive Sensing Techniques
- Physical Sciences › Mathematics › Statistics and Probability › Statistical Methods and Inference
- Physical Sciences › Mathematics › Applied Mathematics › Mathematical Analysis and Transform Methods
- Keywords
- compressed sensing, sparse signal recovery, sparse representation, sparse priors
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