-
1
-
-
0039127194
-
Random projections of regular simplices
-
F. Affentranger and R. Schneider. Random projections of regular simplices. Discrete Comput Geom, 7(3):219-226, 1992.
-
(1992)
Discrete Comput Geom
, vol.7
, Issue.3
, pp. 219-226
-
-
Affentranger, F.1
Schneider, R.2
-
2
-
-
55649115527
-
A simple proof of the restricted isometry property for random matrices
-
R. Baraniuk, M. Davenport, R. DeVore, and M. Wakin. A simple proof of the restricted isometry property for random matrices. Construe Approx, 28(3):253-263, 2008.
-
(2008)
Construe Approx
, vol.28
, Issue.3
, pp. 253-263
-
-
Baraniuk, R.1
Davenport, M.2
DeVore, R.3
Wakin, M.4
-
3
-
-
0040816160
-
Intrinsic volumes and lattice points of crosspolytopes
-
U. Betke and M. Henk. Intrinsic volumes and lattice points of crosspolytopes. Monatfur Math, 115(1-2):27-33, 1993.
-
(1993)
Monatfur Math
, vol.115
, Issue.1-2
, pp. 27-33
-
-
Betke, U.1
Henk, M.2
-
6
-
-
0033273787
-
Random projections of regular polytopes
-
K. Boroczky and M. Henk. Random projections of regular polytopes. Arch Math (Basel), 73(6):465-473, 1999.
-
(1999)
Arch Math (Basel)
, vol.73
, Issue.6
, pp. 465-473
-
-
Boroczky, K.1
Henk, M.2
-
7
-
-
84878104490
-
Compressive sampling
-
Eur. Math. Soc., Zurich
-
E. J. Candes. Compressive sampling. In Int Congr Math. Vol. III: 1433-1452. Eur. Math. Soc., Zurich, 2006.
-
(2006)
Int Congr Math. Vol. III
, pp. 1433-1452
-
-
Candes, E.J.1
-
8
-
-
46749134483
-
Highly robust error correction by convex programming
-
E. J. Candes and P. Randall. Highly robust error correction by convex programming. IEEE Trans Inform Theory, 54:2829-2840, 2008.
-
(2008)
IEEE Trans Inform Theory
, vol.54
, pp. 2829-2840
-
-
Candes, E.J.1
Randall, P.2
-
9
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
E. J. Candes, J. Romberg, and T. Tao. Robust uncertainty principles: exact signal reconstruction from highly incomplete frequency information. IEEE Trans Inform Theory, 52(2):489-509, 2006.
-
(2006)
IEEE Trans Inform Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candes, E.J.1
Romberg, J.2
Tao, T.3
-
10
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate measurements
-
E. J. Candes, J. Romberg, and T. Tao. Stable signal recovery from incomplete and inaccurate measurements. Commun PureAppl Math, 59:1208-1223, 2006.
-
(2006)
Commun Pureappl Math
, vol.59
, pp. 1208-1223
-
-
Candes, E.J.1
Romberg, J.2
Tao, T.3
-
11
-
-
29144439194
-
Decoding by linear programming
-
E. J. Candes and T. Tao. Decoding by linear programming. IEEE Trans Inform Theory, 51(12):4203-4215, 2005.
-
(2005)
IEEE Trans Inform Theory
, vol.51
, Issue.12
, pp. 4203-4215
-
-
Candes, E.J.1
Tao, T.2
-
12
-
-
57349174008
-
Enhancing sparsity by reweighted minimization
-
E. J. Candes, M. P. Wakin, and S. P. Boyd. Enhancing sparsity by reweighted minimization. J Fourier Anal Appl, 14(5):877-905, 2008.
-
(2008)
J Fourier Anal Appl
, vol.14
, Issue.5
, pp. 877-905
-
-
Candes, E.J.1
Wakin, M.P.2
Boyd, S.P.3
-
13
-
-
0000364765
-
Robust modeling with erratic data
-
J. F. Claerbout and F. Muir. Robust modeling with erratic data. Geophysics, 38(5):826-844, 1973.
-
(1973)
Geophysics
, vol.38
, Issue.5
, pp. 826-844
-
-
Claerbout, J.F.1
Muir, F.2
-
14
-
-
57349181932
-
Compressed sensing and best fc-term approximation
-
A. Cohen, W. Dahmen, and R. DeVore. Compressed sensing and best fc-term approximation. J Am Math Soc, 22:211-231, 2008.
-
(2008)
J am Math Soc
, vol.22
, pp. 211-231
-
-
Cohen, A.1
Dahmen, W.2
DeVore, R.3
-
15
-
-
33646479497
-
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension
-
D. Donoho. High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Discrete Comput Geom, 35(4):617-652, 2006.
-
(2006)
Discrete Comput Geom
, vol.35
, Issue.4
, pp. 617-652
-
-
Donoho, D.1
-
18
-
-
73149095252
-
Observed universality of phase transitions in high-dimensional geometry
-
D. Donoho and J. Tanner. Observed universality of phase transitions in high-dimensional geometry. Phil Trans Roy Soc A, 367:4273-4293, 2009.
-
(2009)
Phil Trans Roy Soc A
, vol.367
, pp. 4273-4293
-
-
Donoho, D.1
Tanner, J.2
-
19
-
-
33645712892
-
Compressed sensing
-
D. L. Donoho. Compressed sensing. IEEE Trans Inform Theory, 52(4): 1289-1306, 2006.
-
(2006)
IEEE Trans Inform Theory
, vol.52
, Issue.4
, pp. 1289-1306
-
-
Donoho, D.L.1
-
20
-
-
22144471532
-
Neighborliness of randomly projected simplices in high dimensions
-
D. L. Donoho and J. Tanner. Neighborliness of randomly projected simplices in high dimensions. Proc Nat Acad Sci USA, 102(27):9452-9457, 2005.
-
(2005)
Proc Nat Acad Sci USA
, vol.102
, Issue.27
, pp. 9452-9457
-
-
Donoho, D.L.1
Tanner, J.2
-
22
-
-
0038718564
-
On sparse representation in pairs of bases
-
A. Feuer and A. Nemirovski. On sparse representation in pairs of bases. IEEE Trans Information Theory, 49(6):1579-1581, 2003.
-
(2003)
IEEE Trans Information Theory
, vol.49
, Issue.6
, pp. 1579-1581
-
-
Feuer, A.1
Nemirovski, A.2
-
24
-
-
0002542403
-
On milman's inequality and random subspaces which escape through a mesh in rn
-
Y. Gordon. On Milman's inequality and random subspaces which escape through a mesh in Rn. Geome Asp Funct Anal, 84-106, 1987.
-
(1987)
Geome Asp Funct Anal
, pp. 84-106
-
-
Gordon, Y.1
-
25
-
-
22144445039
-
Grassmann angles of convex polytopes
-
B. Grunbaum. Grassmann angles of convex polytopes. Acta Math, 121:293-302, 1968.
-
(1968)
Acta Math
, vol.121
, pp. 293-302
-
-
Grunbaum, B.1
-
26
-
-
38849143845
-
-
Springer-Verlag, New York, 2nd edn., Prepared and with a preface by Volker Kaibel, Victor Klee, and Gunter M. Ziegler
-
B. Grunbaum. Convex polytopes, Graduate Texts in Mathematics, vol 221. Springer-Verlag, New York, 2nd edn., 2003. Prepared and with a preface by Volker Kaibel, Victor Klee, and Gunter M. Ziegler.
-
(2003)
Convex Polytopes, Graduate Texts in Mathematics
, vol.221
-
-
Grunbaum, B.1
-
27
-
-
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, 41:334-351, 1977.
-
(1977)
Izvestia
, vol.41
, pp. 334-351
-
-
Kashin, B.1
-
28
-
-
38349077426
-
A remark on compressed sensing
-
November
-
B. S. Kashin and V. N. Temlyakov. A remark on compressed sensing. Math Notes, 82(5):748-755, November 2007.
-
(2007)
Math Notes
, vol.82
, Issue.5
, pp. 748-755
-
-
Kashin, B.S.1
Temlyakov, V.N.2
-
30
-
-
33746923055
-
How neighborly can a centrally symmetric polytope be?
-
N. Linial and I. Novik. How neighborly can a centrally symmetric polytope be? Discrete Comput Geom, 36(6):273-281, 2006.
-
(2006)
Discrete Comput Geom
, vol.36
, Issue.6
, pp. 273-281
-
-
Linial, N.1
Novik, I.2
-
31
-
-
84976038751
-
Non-linear angle-sum relations for polyhedral cones and polytopes
-
P. McMullen. Non-linear angle-sum relations for polyhedral cones and polytopes. Math Proc Camb Phil Soc, 78(2):247-261, 1975.
-
(1975)
Math Proc Camb Phil Soc
, vol.78
, Issue.2
, pp. 247-261
-
-
McMullen, P.1
-
32
-
-
0004163930
-
-
Amsterdam: Academic Press
-
M. L. Mehta. Random Matrices. Amsterdam: Academic Press, 2004.
-
(2004)
Random Matrices
-
-
Mehta, M.L.1
-
33
-
-
33746801607
-
Geometric approach to error correcting codes and reconstruction of signals
-
M. Rudelson and R. Vershynin. Geometric approach to error correcting codes and reconstruction of signals. Int Math Res Notices, 64:4019-4041, 2005.
-
(2005)
Int Math Res Notices
, vol.64
, pp. 4019-4041
-
-
Rudelson, M.1
Vershynin, R.2
-
34
-
-
52349092455
-
On sparse reconstruction from fourier and gaussian measurements
-
M. Rudelson and R. Vershynin. On sparse reconstruction from Fourier and Gaussian measurements. Commun Pure andAppl Math, 61, 2007.
-
(2007)
Commun Pure Andappl Math
, pp. 61
-
-
Rudelson, M.1
Vershynin, R.2
-
37
-
-
68249141421
-
On the reconstruction of block-sparse signals with an optimal number of measurements
-
M. Stojnic, F. Parvaresh, and B. Hassibi. On the reconstruction of block-sparse signals with an optimal number of measurements. IEEE Trans Signal Proc, 57(8):3075-3085, 2009.
-
(2009)
IEEE Trans Signal Proc
, vol.57
, Issue.8
, pp. 3075-3085
-
-
Stojnic, M.1
Parvaresh, F.2
Hassibi, B.3
-
38
-
-
51449088938
-
Compressed sensing - probabilistic analysis of a null-space characterization
-
M. Stojnic, W. Xu, and B. Hassibi. Compressed sensing - probabilistic analysis of a null-space characterization. Proc IEEE Int Conf Acoust, Speech, Signal Proc (ICASSP), 2008.
-
(2008)
Proc IEEE Int Conf Acoust, Speech, Signal Proc (ICASSP)
-
-
Stojnic, M.1
Xu, W.2
Hassibi, B.3
-
41
-
-
0038860738
-
Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem
-
A. M. Vershik and P. V. Sporyshev. Asymptotic behavior of the number of faces of random polyhedra and the neighborliness problem. Sel Math Soviet, 11(2):181-201, 1992.
-
(1992)
Sel Math Soviet
, vol.11
, Issue.2
, pp. 181-201
-
-
Vershik, A.M.1
Sporyshev, P.V.2
-
42
-
-
85025676048
-
Compressed sensing over the grassmann manifold: A unified geometric framework
-
Accepted to
-
W. Xu and B. Hassibi. Compressed sensing over the Grassmann manifold: A unified geometric framework. Accepted to IEEE Trans Inform Theory.
-
IEEE Trans Inform Theory
-
-
Xu, W.1
Hassibi, B.2
-
44
-
-
78049411603
-
Breaking through the thresholds: An analysis for iterative reweighted l1 minimization via the grassmann angle framework
-
W. Xu, A. Khajehnejad, S. Avestimehr, and B. Hassibi. Breaking through the thresholds: an analysis for iterative reweighted l1 minimization via the Grassmann angle framework. Proc Int Conf Acoust, Speech, Signal Proc (ICASSP), 2010.
-
(2010)
Proc Int Conf Acoust, Speech, Signal Proc (ICASSP)
-
-
Xu, W.1
Khajehnejad, A.2
Avestimehr, S.3
Hassibi, B.4
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