-
1
-
-
77749271023
-
Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles
-
R. Adamczak, A. Litvak, A. Pajor, and N. Tomczak-Jaegermann Quantitative estimates of the convergence of the empirical covariance matrix in log-concave ensembles J. Amer. Math. Soc. 23 2010 535 561
-
(2010)
J. Amer. Math. Soc.
, vol.23
, pp. 535-561
-
-
Adamczak, R.1
Litvak, A.2
Pajor, A.3
Tomczak-Jaegermann, N.4
-
3
-
-
0000810838
-
Sharp uniform convexity and smoothness inequalities for trace norms
-
K. Ball, E.A. Carlen, and E.H. Lieb Sharp uniform convexity and smoothness inequalities for trace norms Invent. Math. 115 1994 463 482
-
(1994)
Invent. Math.
, vol.115
, pp. 463-482
-
-
Ball, K.1
Carlen, E.A.2
Lieb, E.H.3
-
4
-
-
17044432290
-
A probabilistic approach to the geometry of the ℓpn ball
-
F. Barthe, O. Guedon, S. Mendelson, and A. Naor A probabilistic approach to the geometry of the ℓpn ball Ann. Probab. 33 2005 480 513
-
(2005)
Ann. Probab.
, vol.33
, pp. 480-513
-
-
Barthe, F.1
Guedon, O.2
Mendelson, S.3
Naor, A.4
-
6
-
-
0033233673
-
Isoperimetric and analytic inequalities for log-concave probability measures
-
S.G. Bobkov Isoperimetric and analytic inequalities for log-concave probability measures Ann. Probab. 27 1999 1903 1921
-
(1999)
Ann. Probab.
, vol.27
, pp. 1903-1921
-
-
Bobkov, S.G.1
-
7
-
-
84875874870
-
Phase retrieval via matrix completion
-
E.J. Candes, Y.C. Eldar, T. Strohmer, and V. Voroninski Phase retrieval via matrix completion SIAM J. Imaging Sci. 6 1 Feb. 2013 199 225
-
(2013)
SIAM J. Imaging Sci.
, vol.6
, Issue.1
, pp. 199-225
-
-
Candes, E.J.1
Eldar, Y.C.2
Strohmer, T.3
Voroninski, V.4
-
9
-
-
84878420841
-
Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming
-
in press
-
E.J. Candes, T. Strohmer, and V. Voroninski Phaselift: Exact and stable signal recovery from magnitude measurements via convex programming Comm. Pure Appl. Math. 2012 in press
-
(2012)
Comm. Pure Appl. Math.
-
-
Candes, E.J.1
Strohmer, T.2
Voroninski, V.3
-
10
-
-
84895930255
-
Interactions between compressed sensing, Random matrices and high-dimensional geometry
-
in press
-
D. Chafa, O. Guedon, G. Lecue, and A. Pajor Interactions between compressed sensing, Random matrices and high-dimensional geometry Panor. Synth. - Soc. Math. Fr. 2013 in press
-
(2013)
Panor. Synth. - Soc. Math. Fr.
-
-
Chafa, D.1
Guedon, O.2
Lecue, G.3
Pajor, A.4
-
12
-
-
0003208010
-
Uniform Central Limit Theorems
-
Cambridge University Press
-
R.M. Dudley Uniform Central Limit Theorems Cambridge Stud. Adv. Math. vol. 63 1999 Cambridge University Press
-
(1999)
Cambridge Stud. Adv. Math.
, vol.63
-
-
Dudley, R.M.1
-
13
-
-
0000660999
-
The sizes of compact subsets of Hilbert space and continuity of Gaussian processes
-
R.M. Dudley The sizes of compact subsets of Hilbert space and continuity of Gaussian processes J. Funct. Anal. 1 1967 290 330
-
(1967)
J. Funct. Anal.
, vol.1
, pp. 290-330
-
-
Dudley, R.M.1
-
14
-
-
70350743173
-
Robust recovery of signals from a structured union of subspaces
-
Y.C. Eldar, and M. Mishali Robust recovery of signals from a structured union of subspaces IEEE Trans. Inform. Theory 55 11 2009 5302 5316
-
(2009)
IEEE Trans. Inform. Theory
, vol.55
, Issue.11
, pp. 5302-5316
-
-
Eldar, Y.C.1
Mishali, M.2
-
15
-
-
0020173780
-
Phase retrieval algorithms: A comparison
-
J.R. Fienup Phase retrieval algorithms: A comparison Appl. Opt. 21 15 1982 2758 2769
-
(1982)
Appl. Opt.
, vol.21
, Issue.15
, pp. 2758-2769
-
-
Fienup, J.R.1
-
16
-
-
0000781375
-
Phase retrieval by iterated projections
-
R.W. Gerchberg, and W.O. Saxton Phase retrieval by iterated projections Optik 35 1972
-
(1972)
Optik
, vol.35
-
-
Gerchberg, R.W.1
Saxton, W.O.2
-
19
-
-
84975647827
-
Phase problem in crystallography
-
R.W. Harrison Phase problem in crystallography J. Opt. Soc. Amer. A 10 1993 1045 1055
-
(1993)
J. Opt. Soc. Amer. A
, vol.10
, pp. 1045-1055
-
-
Harrison, R.W.1
-
22
-
-
21044441217
-
Empirical processes and random projections
-
B. Klartag, and S. Mendelson Empirical processes and random projections J. Funct. Anal. 225 2005 229 245
-
(2005)
J. Funct. Anal.
, vol.225
, pp. 229-245
-
-
Klartag, B.1
Mendelson, S.2
-
23
-
-
84862009119
-
Oracle Inequalities in Empirical Risk. Minimization and Sparse Recovery Problems
-
Springer
-
V. Koltchinskii Oracle Inequalities in Empirical Risk. Minimization and Sparse Recovery Problems Lecture Notes in Math. vol. 2033 2011 Springer
-
(2011)
Lecture Notes in Math.
, vol.2033
-
-
Koltchinskii, V.1
-
31
-
-
38849196916
-
Reconstruction and subgaussian operators, geometric and functional analysis
-
S. Mendelson, A. Pajor, and N. Tomczak-Jaegermann Reconstruction and subgaussian operators, geometric and functional analysis Geom. Funct. Anal. 17 2007 1248 1282
-
(2007)
Geom. Funct. Anal.
, vol.17
, pp. 1248-1282
-
-
Mendelson, S.1
Pajor, A.2
Tomczak-Jaegermann, N.3
-
32
-
-
84857920210
-
On generic chaining and the smallest singular values of random matrices with heavy tails
-
S. Mendelson, and G. Paouris On generic chaining and the smallest singular values of random matrices with heavy tails J. Funct. Anal. 262 2012 3775 3811
-
(2012)
J. Funct. Anal.
, vol.262
, pp. 3775-3811
-
-
Mendelson, S.1
Paouris, G.2
-
34
-
-
0002904748
-
Isotropic position and inertia ellipsoids and zonoid of the unit ball of a normed n-dimensional space
-
V.D. Milman, and A. Pajor Isotropic position and inertia ellipsoids and zonoid of the unit ball of a normed n-dimensional space Springer Lecture Notes vol. 1376 1989 64 104
-
(1989)
Springer Lecture Notes
, vol.1376
, pp. 64-104
-
-
Milman, V.D.1
Pajor, A.2
-
35
-
-
0003270948
-
Asymptotic Theory of Finite Dimensional Normed Spaces
-
Springer
-
V.D. Milman, and G. Schechtman Asymptotic Theory of Finite Dimensional Normed Spaces Lecture Notes in Math. vol. 1200 1986 Springer
-
(1986)
Lecture Notes in Math.
, vol.1200
-
-
Milman, V.D.1
Schechtman, G.2
-
39
-
-
77955871089
-
Coherent diffractive imaging using short wavelength light sources: A tutorial review
-
H.M. Quiney Coherent diffractive imaging using short wavelength light sources: A tutorial review J. Modern Opt. 57 2010 1109 1149
-
(2010)
J. Modern Opt.
, vol.57
, pp. 1109-1149
-
-
Quiney, H.M.1
-
41
-
-
79961081474
-
Sparsity based sub-wavelength imaging with partially incoherent light via quadratic compressed sensing
-
Y. Shechtman, Y.C. Eldar, A. Szameit, and M. Segev Sparsity based sub-wavelength imaging with partially incoherent light via quadratic compressed sensing Opt. Express 19 16 2011 14807 14822
-
(2011)
Opt. Express
, vol.19
, Issue.16
, pp. 14807-14822
-
-
Shechtman, Y.1
Eldar, Y.C.2
Szameit, A.3
Segev, M.4
-
42
-
-
84885071417
-
Covariance estimation for distributions with 2 + Ïμ moments
-
in press
-
N. Srivastava, and R. Vershynin Covariance estimation for distributions with 2 + Ïμ moments Ann. Probab. 2013 in press
-
(2013)
Ann. Probab.
-
-
Srivastava, N.1
Vershynin, R.2
-
43
-
-
0000820132
-
Gaussian processes and measures of solid angles in Hilbert space
-
V.N. Sudakov Gaussian processes and measures of solid angles in Hilbert space Sov. Math. Dokl. 12 1971 412 415
-
(1971)
Sov. Math. Dokl.
, vol.12
, pp. 412-415
-
-
Sudakov, V.N.1
-
46
-
-
84867549090
-
The question of phase retrieval in optics
-
A. Walther The question of phase retrieval in optics Opt. Acta 10 1963 41 49
-
(1963)
Opt. Acta
, vol.10
, pp. 41-49
-
-
Walther, A.1
|