-
1
-
-
0000778931
-
Bounded orthogonal systems and the A(p)-set problem
-
J. Bourgain, "Bounded orthogonal systems and the A(p)-set problem," Acta Math., vol. 162, no. 3-4, pp. 227-245, 1989.
-
(1989)
Acta Math
, vol.162
, Issue.3-4
, pp. 227-245
-
-
Bourgain, J.1
-
2
-
-
33947376641
-
-
J. Bourgain, Remarks on Halasz-Montgomery type inequalities, in Geometric Aspects of Functional Analysis (Israel, 1992-1994), ser. Oper. Theory Adv. Appl., Cambridge, MA: Birkhäuser, 77, pp. 25-39.
-
J. Bourgain, "Remarks on Halasz-Montgomery type inequalities," in Geometric Aspects of Functional Analysis (Israel, 1992-1994), ser. Oper. Theory Adv. Appl., Cambridge, MA: Birkhäuser, vol. 77, pp. 25-39.
-
-
-
-
3
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
Feb
-
E. Candès, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, no. 2, pp. 489-509, Feb. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, Issue.2
, pp. 489-509
-
-
Candès, E.1
Romberg, J.2
Tao, T.3
-
4
-
-
21944453585
-
The Role of Sparsity and Incoherence for Exactly Reconstructing a Signal from Limited Measurements California Inst. Technol., Pasadena
-
Tech. Rep
-
E. J. Candès and J. Romberg, The Role of Sparsity and Incoherence for Exactly Reconstructing a Signal from Limited Measurements California Inst. Technol., Pasadena, Tech. Rep., 2004.
-
(2004)
-
-
Candès, E.J.1
Romberg, J.2
-
5
-
-
33646365077
-
1-norm solution is also the sparsest solution
-
1-norm solution is also the sparsest solution," Commun. Pure Appl. Math., vol. 59, no. 6, pp. 797-829, 2006.
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.6
, pp. 797-829
-
-
Donoho, D.L.1
-
6
-
-
85009724776
-
Nonlinear approximation
-
Acta Numerica, 1998. Cambridge, U.K, Cambridge Univ. Press
-
R. A. DeVore, "Nonlinear approximation," in Acta Numerica, 1998. Cambridge, U.K.: Cambridge Univ. Press, 1998, vol. 7, pp. 51-150, ser. Acta Numer.
-
(1998)
ser. Acta Numer
, vol.7
, pp. 51-150
-
-
DeVore, R.A.1
-
7
-
-
0032182894
-
Data compression and harmonic analysis
-
D. L. Donoho, M. Vetterli, R. A. DeVore, and I. Daubechies, "Data compression and harmonic analysis," IEEE Trans. Inf. Theory, vol. 44, no. 6, pp. 2435-2476, 1998.
-
(1998)
IEEE Trans. Inf. Theory
, vol.44
, Issue.6
, pp. 2435-2476
-
-
Donoho, D.L.1
Vetterli, M.2
DeVore, R.A.3
Daubechies, I.4
-
8
-
-
0033147693
-
2)
-
2)," Amer. J. Math., vol. 121, no. 3, pp. 587-628, 1999.
-
(1999)
Amer. J. Math
, vol.121
, Issue.3
, pp. 587-628
-
-
Cohen, A.1
DeVore, R.2
Petrushev, P.3
Xu, H.4
-
10
-
-
84881084569
-
Atomic characterizations of modulation spaces through Gabor-type representations
-
H. G. Feichtinger, "Atomic characterizations of modulation spaces through Gabor-type representations," Rocky Mountain J. Math., vol. 19, no. 1, pp. 113-125, 1989.
-
(1989)
Rocky Mountain J. Math
, vol.19
, Issue.1
, pp. 113-125
-
-
Feichtinger, H.G.1
-
11
-
-
2442458882
-
2 singularities
-
2 singularities," Commun. Pure Appl. Math., vol. 57, no. 2, pp. 219-266, 2004.
-
(2004)
Commun. Pure Appl. Math
, vol.57
, Issue.2
, pp. 219-266
-
-
Candès, E.J.1
Donoho, D.L.2
-
12
-
-
33947395814
-
n-Widths in Approximation Theory
-
Ergebnisse der Mathematik und ihrer Grenzgebiete (3, Results in Mathematics and Related Areas 3, Berlin, Germany: Springer-Verlag
-
A. Pinkus, n-Widths in Approximation Theory, ser. Ergebnisse der Mathematik und ihrer Grenzgebiete (3) [Results in Mathematics and Related Areas (3)]. Berlin, Germany: Springer-Verlag, 1985, vol. 7.
-
(1985)
ser
, vol.7
-
-
Pinkus, A.1
-
13
-
-
0001387808
-
The widths of certain finite dimensional sets and classes of smooth functions
-
B. Kashin, "The widths of certain finite dimensional sets and classes of smooth functions," Izvestia, vol. 41, pp. 334-351, 1977.
-
(1977)
Izvestia
, vol.41
, pp. 334-351
-
-
Kashin, B.1
-
14
-
-
0000286901
-
The widths of a Euclidean ball
-
in Russian
-
A. Garnaev and E. Gluskin, "The widths of a Euclidean ball," Dokl. A. N. USSR, vol. 277, pp. 1048-1052, 1984, in Russian.
-
(1984)
Dokl. A. N. USSR
, vol.277
, pp. 1048-1052
-
-
Garnaev, A.1
Gluskin, E.2
-
15
-
-
33947361723
-
-
K. Ball, An elementary introduction to modem convex geometry, in Flavors of Geometry, ser. Math. Sci. Res. Inst. Publ., Cambridge, U.K.: Cambridge Univ. Press, 1997, 31, pp. 1-58.
-
K. Ball, "An elementary introduction to modem convex geometry," in Flavors of Geometry, ser. Math. Sci. Res. Inst. Publ., Cambridge, U.K.: Cambridge Univ. Press, 1997, vol. 31, pp. 1-58.
-
-
-
-
16
-
-
29144439194
-
Decoding by linear programming
-
E. J. Candès and T. Tao, "Decoding by linear programming," IEEE Trans. Inf. Theory, vol. 51, no. 12, pp. 4203-1215, 2005.
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, Issue.12
, pp. 4203-1215
-
-
Candès, E.J.1
Tao, T.2
-
17
-
-
0033077324
-
The space complexity of approximating the frequency moments
-
N. Alon, Y. Matias, and M. Szegedy, "The space complexity of approximating the frequency moments," J. Comput. Syst. Sci., vol. 58, no. 1, pt. 2, pp. 137-147, 1999.
-
(1999)
J. Comput. Syst. Sci
, vol.58
, Issue.1 PART. 2
, pp. 137-147
-
-
Alon, N.1
Matias, Y.2
Szegedy, M.3
-
19
-
-
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
-
20
-
-
0001616908
-
Uncertainty principles and signal recovery
-
D. L. Donoho and P. B. Stark, "Uncertainty principles and signal recovery," SIAM J. Appl. Math., vol. 49, no. 3, pp. 906-931, 1989.
-
(1989)
SIAM J. Appl. Math
, vol.49
, Issue.3
, pp. 906-931
-
-
Donoho, D.L.1
Stark, P.B.2
-
21
-
-
0001654702
-
Extensions of Lipschitz mappings into a Hilbert space
-
Providence, RI
-
W. B. Johnson and J. Lindenstrauss, "Extensions of Lipschitz mappings into a Hilbert space," in Proc. Conf. Modern Anal. Prob., Providence, RI, 1984, vol. 26, pp. 189-206.
-
(1984)
Proc. Conf. Modern Anal. Prob
, vol.26
, pp. 189-206
-
-
Johnson, W.B.1
Lindenstrauss, J.2
-
22
-
-
2942640138
-
On sparse representations in arbitrary redundant bases
-
J.-J. Fuchs, "On sparse representations in arbitrary redundant bases," IEEE Trans. Inf. Theory, vol. 50, no. 6, pp. 1341-1344, 2004.
-
(2004)
IEEE Trans. Inf. Theory
, vol.50
, Issue.6
, pp. 1341-1344
-
-
Fuchs, J.-J.1
-
23
-
-
0008988926
-
Linear inversion of band-limited reflection seismograms
-
F. Santosa and W. W. Symes, "Linear inversion of band-limited reflection seismograms," SIAM J. Sci. Statist. Comput., vol. 7, no. 4, pp. 1307-1330, 1986.
-
(1986)
SIAM J. Sci. Statist. Comput
, vol.7
, Issue.4
, pp. 1307-1330
-
-
Santosa, F.1
Symes, W.W.2
-
24
-
-
0030212858
-
Recovery of blocky images from noisy and blurred data
-
D. C. Dobson and F. Santosa, "Recovery of blocky images from noisy and blurred data," SIAM J. Appl. Math., vol. 56, no. 4, pp. 1181-1198, 1996.
-
(1996)
SIAM J. Appl. Math
, vol.56
, Issue.4
, pp. 1181-1198
-
-
Dobson, D.C.1
Santosa, F.2
-
25
-
-
44049111982
-
Nonlinear total variation based noise removal algorithm
-
L. I. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithm," Physica D, pp. 259-268, 1992.
-
(1992)
Physica D
, pp. 259-268
-
-
Rudin, L.I.1
Osher, S.2
Fatemi, E.3
-
26
-
-
0032131292
-
Atomic decomposition by basis pursuit
-
S.S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM J. Sci. Comput., vol. 20, no. 1, pp. 33-61, 1998.
-
(1998)
SIAM J. Sci. Comput
, vol.20
, Issue.1
, pp. 33-61
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
27
-
-
0003958737
-
Basis Pursuit,
-
Ph.D. dissertation, Stanford University, Stanford, CA
-
S. S. Chen, "Basis Pursuit," Ph.D. dissertation, Stanford University, Stanford, CA, 1995.
-
(1995)
-
-
Chen, S.S.1
-
28
-
-
0035504028
-
Uncertainty principles and ideal atomic decomposition
-
D. L. Donoho and X. Huo, "Uncertainty principles and ideal atomic decomposition," IEEE Trans. Inf. Theory, vol. 47, no. 7, pp. 2845-2862, 2001.
-
(2001)
IEEE Trans. Inf. Theory
, vol.47
, Issue.7
, pp. 2845-2862
-
-
Donoho, D.L.1
Huo, X.2
-
29
-
-
0037418225
-
1 minimization
-
1 minimization," Proc. Nat. Acad. Sci., vol. 100, no. 5, pp. 2197-2202, 2003.
-
(2003)
Proc. Nat. Acad. Sci
, vol.100
, Issue.5
, pp. 2197-2202
-
-
Donoho, D.L.1
Elad, M.2
-
30
-
-
0347968052
-
Sparse representations in unions of bases
-
R. Gribonval and M. Nielsen, "Sparse representations in unions of bases," IEEE Trans. Inf. Theory, vol. 49, no. 12, pp. 3320-3325, 2003.
-
(2003)
IEEE Trans. Inf. Theory
, vol.49
, Issue.12
, pp. 3320-3325
-
-
Gribonval, R.1
Nielsen, M.2
-
31
-
-
33744726904
-
Quantitative robust uncertainty principles and optimally sparse decompositions
-
E. J. Candès and J. Romberg, "Quantitative robust uncertainty principles and optimally sparse decompositions," Found. Comput. Math., vol. 6, no. 2, pp. 227-254, 2006.
-
(2006)
Found. Comput. Math
, vol.6
, Issue.2
, pp. 227-254
-
-
Candès, E.J.1
Romberg, J.2
-
32
-
-
0003690415
-
Least Absolute Deviations
-
Cambridge, MA: Birkhäuser, theory, applications, and algorithms
-
P. Bloomfield and W. L. Steiger, Least Absolute Deviations. Cambridge, MA: Birkhäuser, 1983, vol. 6, ser. Progress in Probability and Statistics, theory, applications, and algorithms.
-
(1983)
ser. Progress in Probability and Statistics
, vol.6
-
-
Bloomfield, P.1
Steiger, W.L.2
-
33
-
-
0000263239
-
Distribution of eigenvalues in certain sets of random matrices
-
V. A. Marcenko and L. A. Pastur, "Distribution of eigenvalues in certain sets of random matrices," Mat. Sb. (N.S.), vol. 72, no. 114, pp. 507-536, 1967.
-
(1967)
Mat. Sb. (N.S.)
, vol.72
, Issue.114
, pp. 507-536
-
-
Marcenko, V.A.1
Pastur, L.A.2
-
34
-
-
0001629248
-
The smallest eigenvalue of a large-dimensional Wishart matrix
-
J. W. Silverstein, "The smallest eigenvalue of a large-dimensional Wishart matrix," Ann. Probab., vol. 13, no. 4, pp. 1364-1368, 1985.
-
(1985)
Ann. Probab
, vol.13
, Issue.4
, pp. 1364-1368
-
-
Silverstein, J.W.1
-
35
-
-
0035641726
-
On the distribution of the largest eigenvalue in principal components analysis
-
I. M. Johnstone, "On the distribution of the largest eigenvalue in principal components analysis," Ann. Statist., vol. 29, no. 2, pp. 295-327, 2001.
-
(2001)
Ann. Statist
, vol.29
, Issue.2
, pp. 295-327
-
-
Johnstone, I.M.1
-
36
-
-
0009400517
-
Condition numbers of random matrices
-
S. J. Szarek, "Condition numbers of random matrices," J. Complexity, vol. 7, no. 2, pp. 131-149, 1991.
-
(1991)
J. Complexity
, vol.7
, Issue.2
, pp. 131-149
-
-
Szarek, S.J.1
-
37
-
-
33947431773
-
-
K. R. Davidson and S. J. Szarek, Addenda and corrigenda to: Local operator theory, random matrices and Banach spaces [in it Handbook of the geometry of Banach Spaces, I, 317-366, North-Holland, Amsterdam, 2001; MR 1863696 (2004f:47002a)], in Handbook of the Geometry of Banach spaces. Amsterdam, The Netherlands: North-Holland, 2003, 2, pp. 1819-1820.
-
K. R. Davidson and S. J. Szarek, "Addenda and corrigenda to: "Local operator theory, random matrices and Banach spaces" [in it Handbook of the geometry of Banach Spaces, vol. I, 317-366, North-Holland, Amsterdam, 2001; MR 1863696 (2004f:47002a)]," in Handbook of the Geometry of Banach spaces. Amsterdam, The Netherlands: North-Holland, 2003, vol. 2, pp. 1819-1820.
-
-
-
-
38
-
-
0012942540
-
The Concentration of Measure Phenomenon
-
Providence, RI: American Mathematical Society
-
M. Ledoux, The Concentration of Measure Phenomenon, ser. Mathematical Surveys and Monographs. Providence, RI: American Mathematical Society, 2001, vol. 89.
-
(2001)
ser. Mathematical Surveys and Monographs
, vol.89
-
-
Ledoux, M.1
-
39
-
-
29144495343
-
New Results About Random Covariance Matrices and Statistical Applications,
-
Ph.D. dissertation, Stanford University, Stanford, CA
-
N. El Karoui, "New Results About Random Covariance Matrices and Statistical Applications," Ph.D. dissertation, Stanford University, Stanford, CA, 2004.
-
(2004)
-
-
El Karoui, N.1
-
40
-
-
0001758959
-
Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix
-
Z. D. Bai and Y. Q. Yin, "Limit of the smallest eigenvalue of a large-dimensional sample covariance matrix," Ann. Probab., vol. 21, no. 3, pp. 1275-1294, 1993.
-
(1993)
Ann. Probab
, vol.21
, Issue.3
, pp. 1275-1294
-
-
Bai, Z.D.1
Yin, Y.Q.2
-
41
-
-
18644382839
-
Smallest singular value of random matrices and geometry of random polytopes
-
A. E. Litvak, A. Pajor, M. Rudelson, and N. Tomczak-Jaegermann, "Smallest singular value of random matrices and geometry of random polytopes," Adv. Math., vol. 195, no. 2, pp. 491-523, 2005.
-
(2005)
Adv. Math
, vol.195
, Issue.2
, pp. 491-523
-
-
Litvak, A.E.1
Pajor, A.2
Rudelson, M.3
Tomczak-Jaegermann, N.4
-
43
-
-
0034344120
-
A sharp concentration inequality with applications
-
S. Boucheron, G. Lugosi, and P. Massart, "A sharp concentration inequality with applications," Random Struct. Algor., vol. 16, no. 3, pp. 277-292, 2000.
-
(2000)
Random Struct. Algor
, vol.16
, Issue.3
, pp. 277-292
-
-
Boucheron, S.1
Lugosi, G.2
Massart, P.3
-
45
-
-
0036041770
-
Near-optimal sparse Fourier representations via sampling
-
Montreal, QC, Canada, May
-
A. C. Gilbert, S. Guha, P. Indyk, S. Muthukrishnan, and M. J. Strauss, "Near-optimal sparse Fourier representations via sampling," in Proc. 34th ACM Symp. Theory Comput., Montreal, QC, Canada, May 2002.
-
(2002)
Proc. 34th ACM Symp. Theory Comput
-
-
Gilbert, A.C.1
Guha, S.2
Indyk, P.3
Muthukrishnan, S.4
Strauss, M.J.5
-
46
-
-
0000994356
-
Subspaces of small codimension of finite-dimensional Banach spaces
-
A. Pajor and N. Tomczak-Jaegermann, "Subspaces of small codimension of finite-dimensional Banach spaces," in Proc. Amer. Math. Soc., 1986, vol. 97, no. 4, pp. 637-642.
-
(1986)
Proc. Amer. Math. Soc
, vol.97
, Issue.4
, pp. 637-642
-
-
Pajor, A.1
Tomczak-Jaegermann, N.2
-
47
-
-
0002195680
-
Approximation of zonoids by zonotopes
-
J. Bourgain, J. Lindenstrauss, and V. Milman, "Approximation of zonoids by zonotopes," Acta Math., vol. 162, no. 1-2, pp. 73-141, 1989.
-
(1989)
Acta Math
, vol.162
, Issue.1-2
, pp. 73-141
-
-
Bourgain, J.1
Lindenstrauss, J.2
Milman, V.3
|