-
1
-
-
79957444557
-
Compressed sensing: How sharp is the restricted isometry property?
-
J. D. Blanchard, C. Cartis, and J. Tanner, Compressed sensing: How sharp is the restricted isometry property?, SIAM Rev., 53 (2011), pp. 105-125.
-
(2011)
SIAM Rev
, vol.53
, pp. 105-125
-
-
Blanchard, J.D.1
Cartis, C.2
Tanner, J.3
-
2
-
-
69949164527
-
Iterative hard thresholding for compressed sensing
-
T. Blumensath and M. E. Davies, Iterative hard thresholding for compressed sensing, Appl. Comput. Harmon. Anal., 27 (2009), pp. 265-274.
-
(2009)
Appl. Comput. Harmon. Anal.
, vol.27
, pp. 265-274
-
-
Blumensath, T.1
Davies, M.E.2
-
3
-
-
77949703326
-
Normalized iterative hard thresholding: Guaranteed stability and performance
-
T. Blumensath and M. E. Davies, Normalized iterative hard thresholding: Guaranteed stability and performance, IEEE J. Selected Topics Signal Process., 4 (2010), pp. 298-309.
-
(2010)
IEEE J. Selected Topics Signal Process.
, vol.4
, pp. 298-309
-
-
Blumensath, T.1
Davies, M.E.2
-
4
-
-
59749104367
-
From sparse solutions of systems of equations to sparse modeling of signals and images
-
A. M. Bruckstein, D. L. Donoho, and M. Elad, From sparse solutions of systems of equations to sparse modeling of signals and images, SIAM Rev., 51 (2009), pp. 34-81.
-
(2009)
SIAM Rev
, vol.51
, pp. 34-81
-
-
Bruckstein, A.M.1
Donoho, D.L.2
Elad, M.3
-
5
-
-
77951291046
-
A singular value thresholding algorithm for matrix completion
-
J.-F. Cai, E. J. Candes, and Z. Sun, A singular value thresholding algorithm for matrix completion, SIAM J. Optim., 20 (2010), pp. 1956-1982.
-
(2010)
SIAM J. Optim.
, vol.20
, pp. 1956-1982
-
-
Cai, J.-F.1
Candes, E.J.2
Sun, Z.3
-
6
-
-
84886807367
-
Fast singular value thresholding without singular value decomposition
-
Houston, TX, 2010
-
J. F. Cai and S. Osher, Fast Singular Value Thresholding without Singular Value Decomposition, Tech. report, Rice University, Houston, TX, 2010.
-
Tech. Report, Rice University
-
-
Cai, J.F.1
Osher, S.2
-
8
-
-
42649140570
-
The restricted isometry property and its implications for compressed sensing
-
E. J. Candes, The restricted isometry property and its implications for compressed sensing, C.R. Math. Acad. Sci. Paris, 346 (2008), pp. 589-592.
-
(2008)
C.R. Math. Acad. Sci. Paris
, vol.346
, pp. 589-592
-
-
Candes, E.J.1
-
9
-
-
71049116435
-
Exact matrix completion via convex optimization
-
E. J. Candes and B. Recht, Exact matrix completion via convex optimization, Found. Comput. Math., 9 (2009), pp. 717-772.
-
(2009)
Found. Comput. Math.
, vol.9
, pp. 717-772
-
-
Candes, E.J.1
Recht, B.2
-
10
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate measurements
-
DOI 10.1002/cpa.20124
-
E. J. Candes, J. K. Romberg, and T. Tao, Stable signal recovery from incomplete and inaccurate measurements, Comm. Pure Appl. Math., 59 (2006), pp. 1207-1223. (Pubitemid 43988295)
-
(2006)
Communications on Pure and Applied Mathematics
, vol.59
, Issue.8
, pp. 1207-1223
-
-
Candes, E.J.1
Romberg, J.K.2
Tao, T.3
-
11
-
-
29144439194
-
Decoding by linear programming
-
DOI 10.1109/TIT.2005.858979
-
E. J. Candes and T. Tao, Decoding by linear programming, IEEE Trans. Inform. Theory, 51 (2005), pp. 4203-4215. (Pubitemid 41800353)
-
(2005)
IEEE Transactions on Information Theory
, vol.51
, Issue.12
, pp. 4203-4215
-
-
Candes, E.J.1
Tao, T.2
-
12
-
-
77951528523
-
The power of convex relaxation: Near-optimal matrix completion
-
E. J. Candes and T. Tao, The power of convex relaxation: Near-optimal matrix completion, IEEE Trans. Inform. Theory, 56 (2009), pp. 2053-1080.
-
(2009)
IEEE Trans. Inform. Theory
, vol.56
, pp. 1080-2053
-
-
Candes, E.J.1
Tao, T.2
-
13
-
-
57349181932
-
Compressed sensing and best k-term approximation
-
A. Cohen, W. Dahmen, and R. De Vore, Compressed sensing and best k-term approximation, J. Amer. Math. Soc., 22 (2009), pp. 211-231.
-
(2009)
J. Amer. Math. Soc.
, vol.22
, pp. 211-231
-
-
Cohen, A.1
Dahmen, W.2
De Vore, R.3
-
14
-
-
65749110333
-
Subspace pursuit for compressive sensing signal reconstruction
-
W. Dai and O. Milenkovic, Subspace pursuit for compressive sensing signal reconstruction, IEEE Trans. Inform. Theory, 55 (2009), pp. 2230-2249.
-
(2009)
IEEE Trans. Inform. Theory
, vol.55
, pp. 2230-2249
-
-
Dai, W.1
Milenkovic, O.2
-
15
-
-
79959203326
-
Subspace evolution and transfer (SET) for low-rank matrix completion
-
W. Dai, O. Milenkovic, and E. Kerman, Subspace evolution and transfer (SET) for low-rank matrix completion, IEEE Trans. Signal Process., 59 (2011), pp. 3120-3132.
-
(2011)
IEEE Trans. Signal Process.
, vol.59
, pp. 3120-3132
-
-
Dai, W.1
Milenkovic, O.2
Kerman, E.3
-
17
-
-
30844437386
-
Neighborliness polytopes and sparse solution of underdetermined linear equations
-
Stanford, CA
-
D. L. Donoho, Neighborliness Polytopes and Sparse Solution of Underdetermined Linear Equations, Tech. report, Stanford University, Stanford, CA, 2006.
-
(2006)
Tech. Report, Stanford University
-
-
Donoho, D.L.1
-
18
-
-
77953126052
-
Precise undersampling theorems
-
D. L. Donoho and J. Tanner, Precise undersampling theorems, Proc. IEEE, 98 (2010), pp. 913-924.
-
(2010)
Proc. IEEE
, vol.98
, pp. 913-924
-
-
Donoho, D.L.1
Tanner, J.2
-
19
-
-
84865634860
-
Unicity conditions for low-rank matrix recovery
-
Y. C. Eldar, D. Needell, and Y. Plan, Unicity conditions for low-rank matrix recovery, Appl. Comput. Harmon. Anal., 33 (2012), pp. 309-314.
-
(2012)
Appl. Comput. Harmon. Anal.
, vol.33
, pp. 309-314
-
-
Eldar, Y.C.1
Needell, D.2
Plan, Y.3
-
20
-
-
84856034474
-
Hard thresholding pursuit: An algorithm for compressive sensing
-
S. Foucart, Hard thresholding pursuit: An algorithm for compressive sensing, SIAM J. Numer. Anal., 49 (2011), pp. 2543-2563.
-
(2011)
SIAM J. Numer. Anal.
, vol.49
, pp. 2543-2563
-
-
Foucart, S.1
-
21
-
-
79952483985
-
Convergence of fixed-point continuation algorithms for matrix rank minimization
-
D. Goldfarb and S. Ma, Convergence of fixed-point continuation algorithms for matrix rank minimization, Found. Comput. Math., 11 (2011), pp. 183-210.
-
(2011)
Found. Comput. Math.
, vol.11
, pp. 183-210
-
-
Goldfarb, D.1
Ma, S.2
-
22
-
-
67349112355
-
Rank-constrained solutions to linear matrix equations using power-factorization
-
J. P. Haldar and D. Hernando, Rank-constrained solutions to linear matrix equations using power-factorization, IEEE Trans. Signal Process. Lett., 16 (2009), pp. 584-587.
-
(2009)
IEEE Trans. Signal Process. Lett.
, vol.16
, pp. 584-587
-
-
Haldar, J.P.1
Hernando, D.2
-
23
-
-
33244464787
-
The complexity of matrix completion
-
DOI 10.1145/1109557.1109679, Proceedings of the Seventeenth Annual ACM-SIAM Symposium on Discrete Algorithms
-
N. J. A. Harvey, D. R. Karger, and S. Yekhanin, The complexity of matrix completion, in Proceedings of the 17th Annual ACM-SIAM Symposium on Discrete Algorithms, ACM, New York, SIAM, Philadelphia, 2006, pp. 1103-1111. (Pubitemid 43275337)
-
(2006)
Proceedings of the Annual ACM-SIAM Symposium on Discrete Algorithms
, pp. 1103-1111
-
-
Harvey, N.J.A.1
Karger, D.R.2
Yekhanin, S.3
-
24
-
-
85162034614
-
Guaranteed rank minimization via singular value projection
-
Vancouver, Canada
-
P. Jain, R. Meka, and I. Dhillon, Guaranteed rank minimization via singular value projection, in Proceedings of the Neural Information Processing Systems Conference (NIPS), Vancouver, Canada, 2010, pp. 937-945.
-
(2010)
Proceedings of the Neural Information Processing Systems Conference (NIPS)
, pp. 937-945
-
-
Jain, P.1
Meka, R.2
Dhillon, I.3
-
25
-
-
77956897560
-
Matrix completion from a few entries
-
R. H. Keshavan, A. Montanari, and S. Oh, Matrix completion from a few entries, IEEE Trans. Inform. Theory, 56 (2010), pp. 2980-2998.
-
(2010)
IEEE Trans. Inform. Theory
, vol.56
, pp. 2980-2998
-
-
Keshavan, R.H.1
Montanari, A.2
Oh, S.3
-
27
-
-
84868227663
-
Matrix ALPS: Accelerated low rank and sparse matrix reconstruction
-
IEEE, New York
-
A. Kyrillidis and V. Cevher, Matrix ALPS: Accelerated low rank and sparse matrix reconstruction, in Proceedings of the 2012 IEEE Statistical Signal Processing Workshop, IEEE, New York, 2012, pp. 185-188.
-
(2012)
Proceedings of the 2012 IEEE Statistical Signal Processing Workshop
, pp. 185-188
-
-
Kyrillidis, A.1
Cevher, V.2
-
28
-
-
84898600635
-
Matrix recipes for hard thresholding methods
-
April, DOI: 10.1007/s10851-013-0434-7
-
A. Kyrillidis and V. Cevher, Matrix recipes for hard thresholding methods, J. Math. Imaging Vision, April (2013), DOI: 10.1007/s10851-013-0434-7.
-
(2013)
J. Math. Imaging Vision
-
-
Kyrillidis, A.1
Cevher, V.2
-
29
-
-
84886851206
-
-
available online from
-
R. M. Larsen, PROPACK available online from http://sun.stanford.edu/ rmunk/PROPACK/.
-
PROPACK
-
-
Larsen, R.M.1
-
30
-
-
77955747588
-
ADMIRA: Atomic decomposition for minimum rank approximation
-
K. Lee and Y. Bresler, ADMiRA: Atomic decomposition for minimum rank approximation, IEEE Trans. Inform. Theory, 56 (2010), pp. 4402-4416.
-
(2010)
IEEE Trans. Inform. Theory
, vol.56
, pp. 4402-4416
-
-
Lee, K.1
Bresler, Y.2
-
31
-
-
48549094732
-
Alternating projections on manifolds
-
A. S. Lewis and J. Malick, Alternating projections on manifolds, Math. Oper. Res., 33 (2008), pp. 216-234.
-
(2008)
Math. Oper. Res.
, vol.33
, pp. 216-234
-
-
Lewis, A.S.1
Malick, J.2
-
33
-
-
79957957723
-
Fixed point and bregman iterative methods for matrix rank minimization
-
S. Ma, D. Goldfarb, and L. Chen, Fixed point and Bregman iterative methods for matrix rank minimization, Math. Program. Ser. A, 128 (2011), pp. 321-353.
-
(2011)
Math. Program. Ser. A
, vol.128
, pp. 321-353
-
-
Ma, S.1
Goldfarb, D.2
Chen, L.3
-
34
-
-
77949685085
-
Optimally tuned iterative reconstruction algorithms for compressed sensing
-
A. Maleki and D. L. Donoho, Optimally tuned iterative reconstruction algorithms for compressed sensing, IEEE J. Selected Topics Signal Process., 4 (2010), pp. 330-341.
-
(2010)
IEEE J. Selected Topics Signal Process.
, vol.4
, pp. 330-341
-
-
Maleki, A.1
Donoho, D.L.2
-
35
-
-
80053443288
-
Linear regression under fixed-rank constraints: A riemannian approach
-
Bellevue, Washington, ACM, New York
-
G. Meyer, S. Bonnabel, and R. Sepulchre, Linear regression under fixed-rank constraints: A Riemannian approach, in Proceedings of the 28th ACM International Conference on Machine Learning (ICML2011) (Bellevue, Washington), ACM, New York, 2011, pp. 545- 552.
-
(2011)
Proceedings of the 28th ACM International Conference on Machine Learning (ICML2011)
, pp. 545-552
-
-
Meyer, G.1
Bonnabel, S.2
Sepulchre, R.3
-
36
-
-
84880721205
-
Numerical algorithms for low-rank matrix completion problems
-
Switzerland
-
M. Michenkova, Numerical Algorithms for Low-Rank Matrix Completion Problems, Tech. report, ETH, Switzerland, http://www.math.ethz.ch/kressner/ students/michenkova.pdf 2011.
-
(2011)
Tech. Report, ETH
-
-
Michenkova, M.1
-
37
-
-
62749175137
-
Cosamp: Iterative signal recovery from incomplete and inaccurate samples
-
D. Needell and J. Tropp, Cosamp: Iterative signal recovery from incomplete and inaccurate samples, Appl. Comput. Harmon. Anal., 26 (2009), pp. 301-321.
-
(2009)
Appl. Comput. Harmon. Anal.
, vol.26
, pp. 301-321
-
-
Needell, D.1
Tropp, J.2
-
38
-
-
78549288866
-
Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization
-
B. Recht, M. Fazel, and P. A. Parrilo, Guaranteed minimum-rank solutions of linear matrix equations via nuclear norm minimization, SIAM Rev., 52 (2010), pp. 471-501.
-
(2010)
SIAM Rev
, vol.52
, pp. 471-501
-
-
Recht, B.1
Fazel, M.2
Parrilo, P.A.3
-
39
-
-
79952759680
-
Null space conditions and thresholds for rank minimization
-
B. Recht, W. Xu, and B. Hassibi, Null space conditions and thresholds for rank minimization, Math. Program. Ser. B, (2011), pp. 175-211.
-
(2011)
Math. Program. Ser. B
, pp. 175-211
-
-
Recht, B.1
Xu, W.2
Hassibi, B.3
-
40
-
-
85162007899
-
Online learning in the manifold of low-rank matrices
-
U. Shalit, D. Weinshall, and G. Chechik, Online learning in the manifold of low-rank matrices, Adv. Neural Inform. Process. Syst., 23 (2010), p. 2128-2136.
-
(2010)
Adv. Neural Inform. Process. Syst.
, vol.23
, pp. 2128-2136
-
-
Shalit, U.1
Weinshall, D.2
Chechik, G.3
-
41
-
-
78049448383
-
An accelerated proximal gradient algorithm for nuclear norm regularized least squares problems
-
K. Toh and S. Yun, An accelerated proximal gradient algorithm for nuclear norm regularized least squares problems, Pacific J. Optim., 16 (2010), pp. 615-640.
-
(2010)
Pacific J. Optim.
, vol.16
, pp. 615-640
-
-
Toh, K.1
Yun, S.2
-
43
-
-
84886868362
-
Low rank matrix completion by riemannian optimization
-
to appear
-
B. Van de reycken, Low rank matrix completion by Riemannian optimization, SIAM J. Optim., to appear.
-
SIAM J. Optim.
-
-
Van De Reycken, B.1
-
44
-
-
79251469735
-
A riemannian optimization approach for computing low-rank solutions of lyapunov equations
-
B. Van de reycken and S. Van de walle, A Riemannian optimization approach for computing low-rank solutions of Lyapunov equations, SIAM J. Matrix Anal. Appl., 31 (2010), pp. 2553-2579.
-
(2010)
SIAM J. Matrix Anal. Appl.
, vol.31
, pp. 2553-2579
-
-
Van De Reycken, B.1
Van De Walle, S.2
-
45
-
-
84869205493
-
Solving a low-rank factorization model for matrix completion by a non-linear successive over-relaxation algorithm
-
Z. Wen, W. Yin, and Y. Zhang, Solving a low-rank factorization model for matrix completion by a non-linear successive over-relaxation algorithm, Math. Program. Comput., 4 (2012), pp. 333-361.
-
(2012)
Math. Program. Comput.
, vol.4
, pp. 333-361
-
-
Wen, Z.1
Yin, W.2
Zhang, Y.3
|