-
2
-
-
84878104490
-
Compressive sampling
-
European Mathematical Society, Zürich
-
Candès, E. J. Compressive sampling. International Congress of Mathematicians, vol. 3, 1433-1452. European Mathematical Society, Zürich, 2006.
-
(2006)
International Congress of Mathematicians
, vol.3
, pp. 1433-1452
-
-
Candès, E.J.1
-
3
-
-
33744726904
-
Quantitative robust uncertainty principles and optimally sparse decompositions
-
Candès, E. J.; Romberg, J. Quantitative robust uncertainty principles and optimally sparse decompositions. Found. Comput. Math. 6 (2006), no. 2, 227-254.
-
(2006)
Found. Comput. Math
, vol.6
, Issue.2
, pp. 227-254
-
-
Candès, E.J.1
Romberg, J.2
-
4
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
Candès, E. J.; Romberg, J.; Tao, T. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans. Inform. Theory 52 (2006), no. 2, 489-509.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candès, E.J.1
Romberg, J.2
Tao, T.3
-
5
-
-
33748540464
-
Error correction via linear programming
-
Institute of Electrical and Electronic Engineers, Los Alamitos, Calif
-
Candès, E. J.; Rudelson, M.; Tao, T.; Vershynin, R. Error correction via linear programming. Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS), 295-308. Institute of Electrical and Electronic Engineers, Los Alamitos, Calif., 2005.
-
(2005)
Proceedings of the 46th Annual IEEE Symposium on Foundations of Computer Science (FOCS)
, pp. 295-308
-
-
Candès, E.J.1
Rudelson, M.2
Tao, T.3
Vershynin, R.4
-
6
-
-
29144439194
-
Decoding by linear programming
-
Candès, E. J.; Tao, T. Decoding by linear programming. IEEE Trans. Inform. Theory 51 (2005), no. 12, 4203-4215.
-
(2005)
IEEE Trans. Inform. Theory
, vol.51
, Issue.12
, pp. 4203-4215
-
-
Candès, E.J.1
Tao, T.2
-
7
-
-
33947416035
-
Near-optimal signal recovery from random projections: Universal encoding strategies?
-
Candès, E. J.; Tao, T. Near-optimal signal recovery from random projections: universal encoding strategies? IEEE Trans. Inform. Theory 52 (2006), no. 12, 5406-5425.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candès, E.J.1
Tao, T.2
-
8
-
-
85073135022
-
-
Candès, E. J.; Tao, T. The Dantzig selector: statistical estimation when p is much larger than n. Ann. Statist., in press. Available at: arXiv:math/0506081, 2005.
-
Candès, E. J.; Tao, T. The Dantzig selector: statistical estimation when p is much larger than n. Ann. Statist., in press. Available at: arXiv:math/0506081, 2005.
-
-
-
-
9
-
-
0001845750
-
Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces
-
Carl, B. Inequalities of Bernstein-Jackson-type and the degree of compactness of operators in Banach spaces. Ann. Inst. Fourier (Grenoble) 35 (1985), no. 3, 79-118.
-
(1985)
Ann. Inst. Fourier (Grenoble)
, vol.35
, Issue.3
, pp. 79-118
-
-
Carl, B.1
-
10
-
-
85073128686
-
-
Chen, S. S.; Donoho, D. L.; Saunders, M. A. Atomic decomposition by basis pursuit. SIAM J. Sci. Comput. 20 (1998), no. 1, 33-61 (electronic); reprinted in SIAM Rev. 43 (2001), no. 1, 129-159 (electronic).
-
Chen, S. S.; Donoho, D. L.; Saunders, M. A. Atomic decomposition by basis pursuit. SIAM J. Sci. Comput. 20 (1998), no. 1, 33-61 (electronic); reprinted in SIAM Rev. 43 (2001), no. 1, 129-159 (electronic).
-
-
-
-
12
-
-
33744552752
-
1-norm near-solution approximates the sparsest near-solution
-
1-norm near-solution approximates the sparsest near-solution. Comm. Pure Appl. Math. 59 (2006), no. 7, 907-934.
-
(2006)
Comm. Pure Appl. Math
, vol.59
, Issue.7
, pp. 907-934
-
-
Donoho, D.L.1
-
13
-
-
33646365077
-
1-norm solution is also the sparsest solution
-
1-norm solution is also the sparsest solution. Comm. Pure Appl. Math. 59 (2006), no. 6, 797-829.
-
(2006)
Comm. Pure Appl. Math
, vol.59
, Issue.6
, pp. 797-829
-
-
Donoho, D.L.1
-
15
-
-
33144483155
-
Stable recovery of sparse overcomplete representations in the presence of noise
-
Donoho, D. L.; Elad, M.; Temlyakov, V. N. Stable recovery of sparse overcomplete representations in the presence of noise. IEEE Trans. Inform. Theory 52 (2006), no. 1, 6-18.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.1
, pp. 6-18
-
-
Donoho, D.L.1
Elad, M.2
Temlyakov, V.N.3
-
16
-
-
0035504028
-
Uncertainty principles and ideal atomic decomposition
-
Donoho, D. L.; Huo, X. Uncertainty principles and ideal atomic decomposition. IEEE Trans. Inform. Theory 47 (2001), no. 7, 2845-2862.
-
(2001)
IEEE Trans. Inform. Theory
, vol.47
, Issue.7
, pp. 2845-2862
-
-
Donoho, D.L.1
Huo, X.2
-
17
-
-
0001616908
-
Uncertainty principles and signal recovery
-
Donoho, D. L.; Stark, P. B. Uncertainty principles and signal recovery. SIAM J. Appl. Math. 49 (1989), no. 3, 906-931.
-
(1989)
SIAM J. Appl. Math
, vol.49
, Issue.3
, pp. 906-931
-
-
Donoho, D.L.1
Stark, P.B.2
-
18
-
-
85073133769
-
-
Donoho, D. L.; Tanner, J. Counting faces of randomly-projected polytopes when the projection radically lowers dimension. arXiv:math/0607364, 2006.
-
Donoho, D. L.; Tanner, J. Counting faces of randomly-projected polytopes when the projection radically lowers dimension. arXiv:math/0607364, 2006.
-
-
-
-
19
-
-
30844433547
-
Extensions of compressed sensing
-
Donoho, D. L.; Tsaig, Y. Extensions of compressed sensing. Signal Processing 86 (2006), no. 3, 549-571.
-
(2006)
Signal Processing
, vol.86
, Issue.3
, pp. 549-571
-
-
Donoho, D.L.1
Tsaig, Y.2
-
20
-
-
0036714214
-
A generalized uncertainty principle and sparse representation in pairs of bases
-
Elad, M.; Bruckstein, A. M. A generalized uncertainty principle and sparse representation in pairs of bases. IEEE Trans. Inform. Theory 48 (2002), no. 9, 2558-2567.
-
(2002)
IEEE Trans. Inform. Theory
, vol.48
, Issue.9
, pp. 2558-2567
-
-
Elad, M.1
Bruckstein, A.M.2
-
21
-
-
0038718564
-
On sparse representation in pairs of bases
-
Feuer, A.; Nemirovski, A. On sparse representation in pairs of bases. IEEE Trans. Inform. Theory 49 (2003), no. 6, 1579-1581.
-
(2003)
IEEE Trans. Inform. Theory
, vol.49
, Issue.6
, pp. 1579-1581
-
-
Feuer, A.1
Nemirovski, A.2
-
22
-
-
0000286901
-
The widths of a Euclidean ball
-
Garnaev, A. Yu.; Gluskin, E. D. The widths of a Euclidean ball. Dokl. Akad. Nauk SSSR 277 (1984), no. 5, 1048-1052.
-
(1984)
Dokl. Akad. Nauk SSSR
, vol.277
, Issue.5
, pp. 1048-1052
-
-
Garnaev, A.Y.1
Gluskin, E.D.2
-
23
-
-
0347968052
-
Sparse representations in unions of bases
-
Gribonval, R.; Nielsen, M. Sparse representations in unions of bases. IEEE Trans. Inform. Theory 49 (2003), no. 12, 3320-3325.
-
(2003)
IEEE Trans. Inform. Theory
, vol.49
, Issue.12
, pp. 3320-3325
-
-
Gribonval, R.1
Nielsen, M.2
-
24
-
-
0002542403
-
n
-
Geometric aspects of functional analysis /, Springer, Berlin, 87
-
n. Geometric aspects of functional analysis (1986/87), 84-106. Lecture Notes in Mathematics, 1317. Springer, Berlin, 1988.
-
(1986)
Lecture Notes in Mathematics
, vol.1317
, pp. 84-106
-
-
Gordon, Y.1
-
25
-
-
0003771756
-
Probability in Banach spaces, Isoperimetry and processes
-
Springer, Berlin
-
Ledoux, M.; Talagrand, M. Probability in Banach spaces, Isoperimetry and processes. Ergebnisse der Mathematik und ihrer Grenzgebiete (3), 23. Springer, Berlin, 1991.
-
(1991)
Ergebnisse der Mathematik und ihrer Grenzgebiete
, vol.23
-
-
Ledoux, M.1
Talagrand, M.2
-
26
-
-
21344455943
-
-
Mendelson, S.; Pajor, A.; Tomczak-Jaegermann, N. Reconstruction and subgaussian operators. arXiv:math/0506239v1, 2005.
-
Mendelson, S.; Pajor, A.; Tomczak-Jaegermann, N. Reconstruction and subgaussian operators. arXiv:math/0506239v1, 2005.
-
-
-
-
27
-
-
0004019002
-
The volume of convex bodies and Banach space geometry
-
Cambridge University Press, Cambridge
-
Pisier, G. The volume of convex bodies and Banach space geometry. Cambridge Tracts in Mathematics, 94. Cambridge University Press, Cambridge, 1989.
-
(1989)
Cambridge Tracts in Mathematics
, vol.94
-
-
Pisier, G.1
-
28
-
-
0009105096
-
Approximate John's decompositions
-
Operator Theory: Advances and Applications, 77. Birkhäuser, Basel
-
Rudelson, M. Approximate John's decompositions. Geometric aspects of functional analysis (Israel, 1992-1994), 245-249. Operator Theory: Advances and Applications, 77. Birkhäuser, Basel, 1995.
-
(1995)
Geometric aspects of functional analysis (Israel, 1992-1994)
, pp. 245-249
-
-
Rudelson, M.1
-
29
-
-
0033541884
-
Random vectors in the isotropic position
-
Rudelson, M. Random vectors in the isotropic position. J. Funct. Anal. 164 (1999), no. 1, 60-72.
-
(1999)
J. Funct. Anal
, vol.164
, Issue.1
, pp. 60-72
-
-
Rudelson, M.1
-
30
-
-
33746801607
-
Geometric approach to error-correcting codes and reconstruction of signals
-
Rudelson, M.; Vershynin, R. Geometric approach to error-correcting codes and reconstruction of signals. Int. Math. Res. Not. 2005, no. 64, 4019-4041.
-
(2005)
Int. Math. Res. Not
, Issue.64
, pp. 4019-4041
-
-
Rudelson, M.1
Vershynin, R.2
-
32
-
-
5444237123
-
Greed is good: Algorithmic results for sparse approximation
-
Tropp, J. A. Greed is good: algorithmic results for sparse approximation. IEEE Trans. Inform. Theory 50 (2004), no. 10, 2231-2242.
-
(2004)
IEEE Trans. Inform. Theory
, vol.50
, Issue.10
, pp. 2231-2242
-
-
Tropp, J.A.1
-
34
-
-
33645712308
-
Just relax: Convex programming methods for identifying sparse signals in noise
-
Tropp, J. A. Just relax: convex programming methods for identifying sparse signals in noise. IEEE Trans. Inform. Theory 52 (2006), no. 3, 1030-1051.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.3
, pp. 1030-1051
-
-
Tropp, J.A.1
|