-
1
-
-
33645712892
-
Compressed sensing
-
D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol.52, no. 4, pp. 1289-1306, 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.4
, pp. 1289-1306
-
-
Donoho, D.L.1
-
2
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
DOI 10.1109/TIT.2005.862083
-
E. J. Candès, J. Romberg, and T. Tao, "Robust uncertainty principles:Exact signal reconstruction from highly incomplete frequency information,"IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, 2006. (Pubitemid 43174093)
-
(2006)
IEEE Transactions on Information Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candes, E.J.1
Romberg, J.2
Tao, T.3
-
3
-
-
29144439194
-
Decoding by linear programming
-
DOI 10.1109/TIT.2005.858979
-
E. J. Candès and T. Tao, "Decoding by linear programming," IEEETrans. Inf. Theory, vol. 51, no. 12, pp. 4203-4215, 2005. (Pubitemid 41800353)
-
(2005)
IEEE Transactions on Information Theory
, vol.51
, Issue.12
, pp. 4203-4215
-
-
Candes, E.J.1
Tao, T.2
-
4
-
-
85032751466
-
Compressedsensing mri
-
M. Lustig, D. L. Donoho, J. M. Santos, and J. M. Pauly, "Compressedsensing MRI," IEEE Signal Process. Mag., vol. 25, no. 2, pp. 72-82,2008.
-
(2008)
IEEE Signal Process. Mag.
, vol.25
, Issue.2
, pp. 72-82
-
-
Lustig, M.1
Donoho, D.L.2
Santos, J.M.3
Pauly, J.M.4
-
5
-
-
85032752277
-
Single pixel imaging via compressivesampling
-
M. F. Duarte, M. A. Davenport, D. Takhar, J. N. Laska, T. Sun, K.F. Kelly, and R. G. Baraniuk, "Single pixel imaging via compressivesampling, " IEEE Signal Process. Mag., vol. 25, no. 2, pp. 83-91, 2008.
-
(2008)
IEEE Signal Process. Mag.
, vol.25
, Issue.2
, pp. 83-91
-
-
Duarte, M.F.1
Davenport, M.A.2
Takhar, D.3
Laska, J.N.4
Sun, T.5
Kelly, K.F.6
Baraniuk, R.G.7
-
6
-
-
80051736221
-
Structured compressed sensing: Fromtheory to applications
-
M. F. Duarte and Y. C. Eldar, "Structured compressed sensing: Fromtheory to applications," IEEE Trans. Signal Process., vol. 59, no. 9, pp.4053-4085, 2011.
-
(2011)
IEEE Trans. Signal Process.
, vol.59
, Issue.9
, pp. 4053-4085
-
-
Duarte, M.F.1
Eldar, Y.C.2
-
7
-
-
84864319384
-
Sparse microwave imaging:Principles and applications
-
B. C. Zhang, W. Hong, and Y. R. Wu, "Sparse microwave imaging:Principles and applications," Sci. China Inf. Sci., vol. 55, pp.1722-1754, 2012.
-
(2012)
Sci. China Inf. Sci.
, vol.55
, pp. 1722-1754
-
-
Zhang, B.C.1
Hong, W.2
Wu, Y.R.3
-
8
-
-
0029291966
-
Sparse approximate solutions to linear systems,"
-
B. K. Natarajan, "Sparse approximate solutions to linear systems,"SIAM J. Comput., vol. 24, pp. 227-234, 1995.
-
(1995)
SIAM J. Comput.
, vol.24
, pp. 227-234
-
-
Natarajan, B.K.1
-
9
-
-
85194972808
-
Regression shrinkage and selection via the lasso
-
R. Tibshirani, "Regression shrinkage and selection via the lasso," J.Roy. Statist. Soc, Series B (Methodolog.), vol. 58, no. 1, pp. 267-288,1996.
-
(1996)
J.Roy. Statist. Soc, Series B (Methodolog.)
, vol.58
, Issue.1
, pp. 267-288
-
-
Tibshirani, R.1
-
10
-
-
0032131292
-
Atomic decompositionby basis pursuit
-
S. S. Chen,D. L.Donoho, andM.A. Saunders, "Atomic decompositionby basis pursuit," SIAM J. Sci. Comput., vol. 20, pp. 33-61, 1998.
-
(1998)
SIAM J. Sci. Comput.
, vol.20
, pp. 33-61
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
11
-
-
33646479497
-
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension
-
DOI 10.1007/s00454-005-1220-0
-
D. L. Donoho, "High-dimensional centrally symmetric polytopes withneighborliness proportional to dimension," Discrete Comput. Geometry,vol. 35, no. 4, pp. 617-652, 2006. (Pubitemid 43701356)
-
(2006)
Discrete and Computational Geometry
, vol.35
, Issue.4
, pp. 617-652
-
-
Donoho, D.L.1
-
12
-
-
85014561619
-
A fast iterative shrinkage-thresholding algorithmfor linear inverse problems
-
A. Beck and M. Teboulle, "A fast iterative shrinkage-thresholding algorithmfor linear inverse problems," SIAM J. Image Sci., vol. 2, no. 1,pp. 183-202, 2009.
-
(2009)
SIAM J. Image Sci.
, vol.2
, Issue.1
, pp. 183-202
-
-
Beck, A.1
Teboulle, M.2
-
13
-
-
61549128441
-
Robustface recognition via sparse representation
-
J. Wright, A. Y. Yang, A. Ganesh, S. S. Sastry, and Y. Ma, "Robustface recognition via sparse representation," IEEE Trans. Pattern Anal.Mach. Intell., vol. 31, no. 2, pp. 210-227, 2008.
-
(2008)
IEEE Trans. Pattern Anal.Mach. Intell.
, vol.31
, Issue.2
, pp. 210-227
-
-
Wright, J.1
Yang, A.Y.2
Ganesh, A.3
Sastry, S.S.4
Ma, Y.5
-
14
-
-
84880544524
-
Sparse methods for biomedical data
-
J. Ye and J. Liu, "Sparse methods for biomedical data," ACM SIGKDDExplorat. Newslett., vol. 14, no. 1, pp. 4-15, 2012.
-
(2012)
ACM SIGKDDExplorat. Newslett.
, vol.14
, Issue.1
, pp. 4-15
-
-
Ye, J.1
Liu, J.2
-
15
-
-
57349174008
-
Enhancing sparsity byreweighted minimization
-
E. J. Candès, M. B. Wakinm, and S. P. Boyd, "Enhancing sparsity byreweighted minimization," J. Fourier Anal. Appl., vol. 14, no. 5, pp.877-905, 2008.
-
(2008)
J. Fourier Anal. Appl.
, vol.14
, Issue.5
, pp. 877-905
-
-
Candès, E.J.1
Wakinm, M.B.2
Boyd, S.P.3
-
16
-
-
77951191949
-
Analysis of multi-stage convex relaxation for sparse regularization
-
T. Zhang, "Analysis of multi-stage convex relaxation for sparse regularization,"J. Mach. Learn. Res., vol. 11, pp. 1081-1107, 2010.
-
(2010)
J. Mach. Learn. Res.
, vol.11
, pp. 1081-1107
-
-
Zhang, T.1
-
17
-
-
34548724437
-
Exact reconstruction of sparse signals via nonconvex minimization
-
DOI 10.1109/LSP.2007.898300
-
R. Chartrand, "Exact reconstruction of sparse signals via nonconvexminimization," IEEE Signal Process. Lett., vol. 14, no. 10, pp.707-710, 2007. (Pubitemid 47434090)
-
(2007)
IEEE Signal Processing Letters
, vol.14
, Issue.10
, pp. 707-710
-
-
Chartrand, R.1
-
18
-
-
44449127493
-
Restricted isometry properties and nonconvexcompressive sensing
-
R. Chartrand and V. Staneva, "Restricted isometry properties and nonconvexcompressive sensing," Inverse Problems, vol. 24, pp. 1-14,2008.
-
(2008)
Inverse Problems
, vol.24
, pp. 1-14
-
-
Chartrand, R.1
Staneva, V.2
-
19
-
-
84860280270
-
Regularizater
-
Z. B. Xu, H. Zhang, Y. Wang, X. Y. Chang, and Y. Liang, "regularizater," Sci. in China, Series F, vol. 53, pp. 1159-1169, 2010.
-
(2010)
Sci. in China, Series F
, vol.53
, pp. 1159-1169
-
-
Xu, Z.B.1
Zhang, H.2
Wang, Y.3
Chang, X.Y.4
Liang, Y.5
-
20
-
-
84871085657
-
Regularization:A thresholding representation theory and a fast solver
-
Z. B. Xu, X. Y. Chang, F. M. Xu, and H. Zhang, " regularization:A thresholding representation theory and a fast solver," IEEE Trans.Neural Netw. Learn. Syst., vol. 23, no. 7, pp. 1013-1027, 2012.
-
(2012)
IEEE Trans.Neural Netw. Learn. Syst.
, vol.23
, Issue.7
, pp. 1013-1027
-
-
Xu, Z.B.1
Chang, X.Y.2
Xu, F.M.3
Zhang, H.4
-
21
-
-
84865551389
-
The representationof regularizer among regularizer: An experimentalstudy based on phase diagram
-
Z. B. Xu, H. L. Guo, Y. Wang, and H. Zhang, "The representationof regularizer among regularizer: An experimentalstudy based on phase diagram," Acta Autom. Sin., vol. 38, pp.1225-1228, 2012.
-
(2012)
Acta Autom. Sin.
, vol.38
, pp. 1225-1228
-
-
Xu, Z.B.1
Guo, H.L.2
Wang, Y.3
Zhang, H.4
-
23
-
-
84869878642
-
Fast image deconvolution usingclosed-form thresholding formulas of Lq regularization
-
W. F. Cao, J. Sun, and Z. B. Xu, "Fast image deconvolution usingclosed-form thresholding formulas of Lq regularization,"J. Vis. Commun. Image Represent., vol. 24, no. 1, pp. 1529-1542,2013.
-
(2013)
J. Vis. Commun. Image Represent.
, vol.24
, Issue.1
, pp. 1529-1542
-
-
Cao, W.F.1
Sun, J.2
Xu, Z.B.3
-
24
-
-
80455174031
-
Hyperspectralunmixing via sparsity-constrained nonnegative matrix factorization
-
Y. T. Qian, S. Jia, J. Zhou, and A. Robles-Kelly, " Hyperspectralunmixing via sparsity-constrained nonnegative matrix factorization,"IEEE Trans. Geosci. Remote Sens., vol. 49, no. 11, pp.4282-4297, 2011.
-
(2011)
IEEE Trans. Geosci. Remote Sens.
, vol.49
, Issue.11
, pp. 4282-4297
-
-
Qian, Y.T.1
Jia, S.2
Zhou, J.3
Robles-Kelly, A.4
-
25
-
-
84864296909
-
Sparse SAR imaging based onregularization
-
J. S. Zeng, J. Fang, and Z. B. Xu, "Sparse SAR imaging based onregularization," Sci. China Inf. Sci., vol. 55, pp. 1755-1775,2012.
-
(2012)
Sci. China Inf. Sci.
, vol.55
, pp. 1755-1775
-
-
Zeng, J.S.1
Fang, J.2
Xu, Z.B.3
-
26
-
-
84874939443
-
Acceleratedregularization based SAR imaging via BCR and reducedNewton skills
-
J. S. Zeng, Z. B. Xu, B. C. Zhang, W. Hong, and Y. R.Wu, "Acceleratedregularization based SAR imaging via BCR and reducedNewton skills," Signal Process., vol. 93, pp. 1831-1844, 2013.
-
(2013)
Signal Process.
, vol.93
, pp. 1831-1844
-
-
Zeng, J.S.1
Xu, Z.B.2
Zhang, B.C.3
Hong, W.4
Wu, Y.R.5
-
27
-
-
84876145996
-
Fractional normregularization: Learning with very few relevantfeatures
-
A. Kaban, "Fractional normregularization: Learning with very few relevantfeatures," IEEE Trans. Neural Netw. Learn. Syst., vol. 24, no. 6,pp. 953-963, 2013.
-
(2013)
IEEE Trans. Neural Netw. Learn. Syst.
, vol.24
, Issue.6
, pp. 953-963
-
-
Kaban, A.1
-
28
-
-
84875640374
-
Sparse kernel logistic regressionbased on regularization
-
(16) 10.1007/s11432-012-4679-3
-
C. Xu, Z. M. Peng, and W. F. Jing, "Sparse kernel logistic regressionbased on regularization," Sci. China Inf. Sci., vol. 56, no. 4, p.042308(16), 2013, 10.1007/s11432-012-4679-3.
-
(2013)
Sci. China Inf. Sci.
, vol.56
, Issue.4
, pp. 042308
-
-
Xu, C.1
Peng, Z.M.2
Jing, W.F.3
-
29
-
-
84879049361
-
Sparse logistic regression with a L1/2 penalty for geneselection in cancer classification
-
10.1186/1471-2105-14-198
-
Y. Liang, C. Liu, X. Z. Luan, K. S. Leung, T. M. Chan, Z. B. Xu,and H. Zhang, "Sparse logistic regression with a L1/2 penalty for geneselection in cancer classification," in Proc. BMC Bioinformatics 2013,vol. 14, p. 198, 10.1186/1471-2105-14-198.
-
Proc. BMC Bioinformatics 2013
, vol.14
, pp. 198
-
-
Liang, Y.1
Liu, C.2
Luan, X.Z.3
Leung, K.S.4
Chan, T.M.5
Xu, Z.B.6
Zhang, H.7
-
30
-
-
84855570036
-
Eliminating verticalstrip defects on silicon steel surface by regularization
-
10.1155/2011/854674, Article ID 854674
-
W. F. Jing, D. Y. Meng, C. Qiao, and Z.M. Peng, "Eliminating verticalstrip defects on silicon steel surface by regularization," Math.Problems Eng., p. 13, 2011, 10.1155/2011/854674, Article ID 854674.
-
(2011)
Math.Problems Eng.
, pp. 13
-
-
Jing, W.F.1
Meng, D.Y.2
Qiao, C.3
Peng, Z.M.4
-
31
-
-
57349100926
-
Linear convergence of iterative softthresholding
-
K. Bredies and D. A. Lorenz, "Linear convergence of iterative softthresholding,"J. Fourier Anal. Appl., vol. 14, pp. 813-837, 2008.
-
(2008)
J. Fourier Anal. Appl.
, vol.14
, pp. 813-837
-
-
Bredies, K.1
Lorenz, D.A.2
-
32
-
-
57349145416
-
Iterative thresholding for sparse approximation
-
T. Blumensath and M. E. Davies, "Iterative thresholding for sparse approximation,"J. Fourier Anal. Appl., vol. 14, no. 5, pp. 629-654, 2008.
-
(2008)
J. Fourier Anal. Appl.
, vol.14
, Issue.5
, pp. 629-654
-
-
Blumensath, T.1
Davies, M.E.2
-
33
-
-
7044231546
-
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
-
DOI 10.1002/cpa.20042
-
I. Daubechies, M. Defries, and C. De Mol, "An iterative thresholdingalgorithm for linear inverse problems with a sparsity constraint,"Comm. Pure Appl. Math., vol. 57, pp. 1413-1457, 2004. (Pubitemid 39427442)
-
(2004)
Communications on Pure and Applied Mathematics
, vol.57
, Issue.11
, pp. 1413-1457
-
-
Daubechies, I.1
Defrise, M.2
De Mol, C.3
-
34
-
-
84870050604
-
Sparse recovery algorithms: Sufficient conditions in termsof restricted isometry constants
-
Springer Proceedings in Mathematics, San Antonio, TX, USA, 2010
-
S. Foucart, "Sparse recovery algorithms: Sufficient conditions in termsof restricted isometry constants," in Proc. Approximation Theory XIII,Springer Proceedings in Mathematics, San Antonio, TX, USA, 2010,vol. 13, pp. 65-77.
-
Proc. Approximation Theory XIII
, vol.13
, pp. 65-77
-
-
Foucart, S.1
-
35
-
-
84877892735
-
Certifyingthe restricted isometry property is hard
-
A. S. Bandeira, E. Dobriban, D. G. Mixon, and W. F. Sawin, "Certifyingthe restricted isometry property is hard," IEEE Trans. Inf. Theory,vol. 59, no. 6, pp. 3448-3450, 2013.
-
(2013)
IEEE Trans. Inf. Theory
, vol.59
, Issue.6
, pp. 3448-3450
-
-
Bandeira, A.S.1
Dobriban, E.2
Mixon, D.G.3
Sawin, W.F.4
-
37
-
-
84898677209
-
-
[Online]. Available
-
[Online]. Available: http://arxiv.org/abs/1103.4984
-
-
-
-
39
-
-
84898686257
-
-
[Online]. Available
-
[Online]. Available: http://arxiv.org/abs/1211.0665
-
-
-
-
40
-
-
52349092455
-
On sparse reconstruction from Fourierand Gaussian measurements
-
M. Rudelson and R. Vershynin, "On sparse reconstruction from Fourierand Gaussian measurements," Comm. Pure Appl. Math., vol. 61, pp.1025-1045, 2008.
-
(2008)
Comm. Pure Appl. Math.
, vol.61
, pp. 1025-1045
-
-
Rudelson, M.1
Vershynin, R.2
-
41
-
-
55649115527
-
A simpleproof of the restricted isometry property for random matrices
-
R. Baraniuk, M. Davenport, R. DeVore, and M. B. Wakin, "A simpleproof of the restricted isometry property for random matrices," Constr.Approx., vol. 28, pp. 253-263, 2008.
-
(2008)
Constr.Approx.
, vol.28
, pp. 253-263
-
-
Baraniuk, R.1
Davenport, M.2
Devore, R.3
Wakin, M.B.4
-
42
-
-
34548275795
-
The Dantzig selector: Stastical estimationwhen is much larger than
-
E. J. Candès and T. Tao, "The Dantzig selector: Stastical estimationwhen is much larger than ," Ann. Statist., vol. 35, no. 6, pp.2313-2351, 2007.
-
(2007)
Ann. Statist.
, vol.35
, Issue.6
, pp. 2313-2351
-
-
Candès, E.J.1
Tao, T.2
-
43
-
-
84879055175
-
Compressed sensing and affine rank minimizationunder restricted isometry
-
T. T. Cai and A. Zhang, "Compressed sensing and affine rank minimizationunder restricted isometry," IEEE Trans. Signal Process., vol.61, no. 13, pp. 3279-3290, 2013.
-
(2013)
IEEE Trans. Signal Process.
, vol.61
, Issue.13
, pp. 3279-3290
-
-
Cai, T.T.1
Zhang, A.2
-
44
-
-
0037418225
-
1 minimization
-
DOI 10.1073/pnas.0437847100
-
D. L. Donoho andM. Elad, "Optimally sparse representation in general(nonorthogonal) dictionaries via minimization," Proc. Nat. Acad.Sci., vol. 100, no. 5, pp. 2197-2202, 2003. (Pubitemid 36297476)
-
(2003)
Proceedings of the National Academy of Sciences of the United States of America
, vol.100
, Issue.5
, pp. 2197-2202
-
-
Donoho, D.L.1
Elad, M.2
-
45
-
-
84875260710
-
A hybrid simulated annealing thresholdingalgorithm for compressed sensing
-
F. M. Xu and S. H.Wang, "A hybrid simulated annealing thresholdingalgorithm for compressed sensing," Signal Process., vol. 93, pp.1577-1585, 2013.
-
(2013)
Signal Process.
, vol.93
, pp. 1577-1585
-
-
Xu, F.M.1
Wang, S.H.2
-
46
-
-
62549128663
-
Sparsest solutions of undertermined linearsystems via-minimization for
-
S. Foucart and M. J. Lai, "Sparsest solutions of undertermined linearsystems via-minimization for ," Appl. Comput. Harmon.Anal., vol. 26, pp. 395-407, 2009.
-
(2009)
Appl. Comput. Harmon.Anal.
, vol.26
, pp. 395-407
-
-
Foucart, S.1
Lai, M.J.2
-
48
-
-
84898686255
-
-
[Online]. Available
-
[Online].Available: http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10. 1.1.156.9058
-
-
-
-
49
-
-
84897545592
-
-
30th Int. Conf. Mach.Learn. (ICML) Atlanta, GA, USA
-
P. H. Gong, C. S. Zhang, Z. S. Lu, J. H. Huang, and J. P. Ye, "A generaliteartive shrinkage and thresholding algorithm for non-convex regularizedoptimization problems," presented at the 30th Int. Conf. Mach.Learn. (ICML), Atlanta, GA, USA, 2013.
-
(2013)
A generaliteartive shrinkage and thresholding algorithm for non-convex regularizedoptimization problems,"
-
-
Gong, P.H.1
Zhang, C.S.2
Lu, Z.S.3
Huang, J.H.4
Ye, J.P.5
-
50
-
-
0031102203
-
Sparse signal reconstruction from limited data using FOCUSS: A re-weighted minimum norm algorithm
-
I. F. Gorodnitsky and B. D. Rao, "Sparse signal reconstruction fromlimited data using FOCUSS: A re-weighted minimum norm algorithm,"IEEE Trans. Signal Process., vol. 45, no. 3, pp. 600-616, 1997. (Pubitemid 127765947)
-
(1997)
IEEE Transactions on Signal Processing
, vol.45
, Issue.3
, pp. 600-616
-
-
Gorodnitsky, I.F.1
Rao, B.D.2
-
51
-
-
77949704355
-
Iterativelyreweighted least squares minimization for sparse recovery
-
I. Daubechies, R. Devore,M. Fornasier, and C. S. Gunturk, "Iterativelyreweighted least squares minimization for sparse recovery," Comm.Pure Appl. Math., vol. 63, pp. 1-38, 2010.
-
(2010)
Comm.Pure Appl. Math.
, vol.63
, pp. 1-38
-
-
Daubechies, I.1
Devore, R.2
Fornasier, M.3
Gunturk, C.S.4
-
52
-
-
84898686256
-
Convergence of the reweighted minimizationalgorithm for minimization
-
to be published
-
X. Chen and W. Zhou, "Convergence of the reweighted minimizationalgorithm for minimization," Comput. Optim. Appl., 2013,to be published.
-
(2013)
Comput. Optim. Appl.
-
-
Chen, X.1
Zhou, W.2
-
53
-
-
69949164527
-
Iterative hard thresholding for compressedsensing
-
T. Blumensath andM. E. Davies, "Iterative hard thresholding for compressedsensing," Appl. Comput. l Harmon. Anal., vol. 27, pp. 265-274,2008.
-
(2008)
Appl. Comput. L Harmon. Anal.
, vol.27
, pp. 265-274
-
-
Blumensath, T.1
Davies, M.E.2
|