-
2
-
-
55649115527
-
A simple proof of the restricted isometry property for random matrices
-
to appear
-
R. Baraniuk, M. Davenport, R. DeVore, and M. Wakin, A simple proof of the restricted isometry property for random matrices. Constr. Approx. (2008), to appear.
-
(2008)
Constr. Approx.
-
-
Baraniuk, R.1
Davenport, M.2
Devore, R.3
Wakin, M.4
-
3
-
-
33645688413
-
-
Preprint
-
D. Baron, M. B. Wakin, M. F. Duarte, S. Sarvotham, and R. G. Baraniuk, Distributed compressed sensing, Preprint, 2005.
-
(2005)
Distributed Compressed Sensing
-
-
Baron, D.1
Wakin, M.B.2
Duarte, M.F.3
Sarvotham, S.4
Baraniuk, R.G.5
-
4
-
-
0042378381
-
Laplacian eigenmaps for dimensionality reduction and data representation
-
6
-
M. Belkin P. Niyogi 2003 Laplacian eigenmaps for dimensionality reduction and data representation Neural Comput. 15 6 1373 1396
-
(2003)
Neural Comput.
, vol.15
, pp. 1373-1396
-
-
Belkin, M.1
Niyogi, P.2
-
5
-
-
84898990205
-
Charting a manifold
-
MIT Press Cambridge
-
M. Brand, Charting a manifold, in Advances in Neural Information Processing Systems (NIPS), Vol. 15, pp. 985-992, MIT Press, Cambridge, 2003.
-
(2003)
Advances in Neural Information Processing Systems (NIPS)
, vol.15
, pp. 985-992
-
-
Brand, M.1
-
6
-
-
0034476075
-
A new approach for dimensionality reduction: Theory and algorithms
-
6
-
D. S. Broomhead M. Kirby 2000 A new approach for dimensionality reduction: Theory and algorithms SIAM J. Appl. Math. 60 6 2114 2142
-
(2000)
SIAM J. Appl. Math.
, vol.60
, pp. 2114-2142
-
-
Broomhead, D.S.1
Kirby, M.2
-
7
-
-
0040927711
-
The Whitney reduction network: A method for computing autoassociative graphs
-
11
-
D. S. Broomhead M. J. Kirby 2001 The Whitney reduction network: A method for computing autoassociative graphs Neural Comput. 13 11 2595 2616
-
(2001)
Neural Comput.
, vol.13
, pp. 2595-2616
-
-
Broomhead, D.S.1
Kirby, M.J.2
-
8
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
2
-
E. Candès J. Romberg T. Tao 2006 Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information IEEE Trans. Inf. Theory 52 2 489 509
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, pp. 489-509
-
-
Candès, E.1
Romberg, J.2
Tao, T.3
-
9
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate measurements
-
8
-
E. Candès J. Romberg T. Tao 2006 Stable signal recovery from incomplete and inaccurate measurements Commun. Pure Appl. Math. 59 8 1207 1223
-
(2006)
Commun. Pure Appl. Math.
, vol.59
, pp. 1207-1223
-
-
Candès, E.1
Romberg, J.2
Tao, T.3
-
10
-
-
29144439194
-
Decoding via linear programming
-
12
-
E. Candès T. Tao 2005 Decoding via linear programming IEEE Trans. Inf. Theory 51 12 4203 4215
-
(2005)
IEEE Trans. Inf. Theory
, vol.51
, pp. 4203-4215
-
-
Candès, E.1
Tao, T.2
-
11
-
-
34548275795
-
The Dantzig selector: Statistical estimation when p is much larger than n
-
to appear. arXiv: math.ST/0506081
-
E. Candès and T. Tao, The Dantzig selector: Statistical estimation when p is much larger than n, Ann. Stat. (2007), to appear. arXiv: math.ST/0506081.
-
(2007)
Ann. Stat.
-
-
E. Candès1
-
12
-
-
33947416035
-
Near optimal signal recovery from random projections: Universal encoding strategies?
-
12
-
E. Candès T. Tao 2006 Near optimal signal recovery from random projections: Universal encoding strategies? IEEE Trans. Inf. Theory 52 12 5406 5425
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, pp. 5406-5425
-
-
Candès, E.1
Tao, T.2
-
13
-
-
77954514940
-
Persistence bar codes for shapes
-
ACM Press New York
-
G. Carlsson, A. Zomorodian, A. Collins, and L. Guibas, Persistence bar codes for shapes, in Proc. Symp. on Geometry processing (SGP '04), pp. 124-135, ACM Press, New York, 2004.
-
(2004)
Proc. Symp. on Geometry Processing (SGP '04)
, pp. 124-135
-
-
Carlsson, G.1
Zomorodian, A.2
Collins, A.3
Guibas, L.4
-
15
-
-
3543131272
-
Geodesic entropic graphs for dimension and entropy estimation in manifold learning
-
8
-
J. A. Costa A. O. Hero 2004 Geodesic entropic graphs for dimension and entropy estimation in manifold learning IEEE Trans. Signal Process. 52 8 2210 2221
-
(2004)
IEEE Trans. Signal Process.
, vol.52
, pp. 2210-2221
-
-
Costa, J.A.1
Hero, A.O.2
-
16
-
-
0037236821
-
An elementary proof of a theorem of Johnson and Lindenstrauss
-
1
-
S. Dasgupta A. Gupta 2003 An elementary proof of a theorem of Johnson and Lindenstrauss Random Struct. Algorithms 22 1 60 65
-
(2003)
Random Struct. Algorithms
, vol.22
, pp. 60-65
-
-
Dasgupta, S.1
Gupta, A.2
-
19
-
-
33646365077
-
For most large underdetermined systems of linear equations, the minimal L1-norm solution is also the sparsest solution
-
D. Donoho, For most large underdetermined systems of linear equations, the minimal L1-norm solution is also the sparsest solution, Commun. Pure Appl. Math. 59(6) (2006).
-
(2006)
Commun. Pure Appl. Math.
, vol.59
, Issue.6
-
-
Donoho, D.1
-
20
-
-
33646479497
-
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension
-
4
-
D. Donoho 2006 High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension Discrete Comput. Geom. 35 4 617 652
-
(2006)
Discrete Comput. Geom.
, vol.35
, pp. 617-652
-
-
Donoho, D.1
-
21
-
-
22144471532
-
Neighborliness of randomly-projected simplices in high dimensions
-
27
-
D. Donoho J. Tanner 2005 Neighborliness of randomly-projected simplices in high dimensions Proc. Natl. Acad. Sci. USA 102 27 9452 9457
-
(2005)
Proc. Natl. Acad. Sci. USA
, vol.102
, pp. 9452-9457
-
-
Donoho, D.1
Tanner, J.2
-
22
-
-
30844433547
-
Extensions of compressed sensing
-
3
-
D. Donoho Y. Tsaig 2006 Extensions of compressed sensing Signal Process. 86 3 533 548
-
(2006)
Signal Process.
, vol.86
, pp. 533-548
-
-
Donoho, D.1
Tsaig, Y.2
-
23
-
-
17444432924
-
Image manifolds which are isometric to Euclidean space
-
1
-
D. L. Donoho C. Grimes 2005 Image manifolds which are isometric to Euclidean space J. Math. Imaging Comput. Vis. 23 1 5 24
-
(2005)
J. Math. Imaging Comput. Vis.
, vol.23
, pp. 5-24
-
-
Donoho, D.L.1
Grimes, C.2
-
24
-
-
0037948870
-
Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data
-
10
-
D. L. Donoho C. E. Grimes 2003 Hessian eigenmaps: Locally linear embedding techniques for high-dimensional data Proc. Natl. Acad. Sci. USA 100 10 5591 5596
-
(2003)
Proc. Natl. Acad. Sci. USA
, vol.100
, pp. 5591-5596
-
-
Donoho, D.L.1
Grimes, C.E.2
-
25
-
-
40349095596
-
-
Technical Report 2006-11, Department of Statistics, Stanford University, 2006. arXiv: math.MG/0607364.
-
D. L. Donoho and J. Tanner, Counting faces of randomly-projected polytopes when then projection radically lowers dimension, Technical Report 2006-11, Department of Statistics, Stanford University, 2006. arXiv: math.MG/0607364.
-
Counting Faces of Randomly-projected Polytopes When Then Projection Radically Lowers Dimension
-
-
Donoho, D.L.1
Tanner, J.2
-
27
-
-
33748575920
-
Signal reconstruction from noisy random projections
-
9
-
J. Haupt R. Nowak 2006 Signal reconstruction from noisy random projections IEEE Trans. Inf. Theory 52 9 4036 4048
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, pp. 4036-4048
-
-
Haupt, J.1
Nowak, R.2
-
30
-
-
34548291868
-
Nearest-neighbor-preserving embeddings
-
P. Indyk and A. Naor, Nearest-neighbor-preserving embeddings, ACM Trans. Algorithms 3(3) (2007).
-
(2007)
ACM Trans. Algorithms
, vol.3
, Issue.3
-
-
Indyk, P.1
Naor, A.2
-
31
-
-
46249096592
-
Analog-to-information conversion via random demodulation
-
Dallas, TX, October
-
S. Kirolos, J. Laska, M. Wakin, M. Duarte, D. Baron, T. Ragheb, Y. Massoud, and R. Baraniuk, Analog-to-information conversion via random demodulation, Proc. IEEE Dallas Circuits and Systems Workshop (DCAS), Dallas, TX, October 2006.
-
(2006)
Proc. IEEE Dallas Circuits and Systems Workshop (DCAS)
-
-
Kirolos, S.1
Laska, J.2
Wakin, M.3
Duarte, M.4
Baron, D.5
Ragheb, T.6
Massoud, Y.7
Baraniuk, R.8
-
32
-
-
0003949354
-
-
Springer Berlin
-
G. G. Lorentz, M. von Golitschek, and Y. Makovoz, Constructive Approximation: Advanced Problems, Grundlehren der Mathematischen Wissenschaften, Vol. 304, Springer, Berlin, 1996.
-
(1996)
Constructive Approximation: Advanced Problems Grundlehren der Mathematischen Wissenschaften
, vol.304
-
-
Lorentz, G.G.1
Von Golitschek, M.2
Makovoz, Y.3
-
34
-
-
46149088412
-
Finding the homology of submanifolds with confidence from random samples
-
10.1007/s00454-006-1250-7
-
P. Niyogi S. Smale S. Weinberger 2006 Finding the homology of submanifolds with confidence from random samples Discrete Comput. Geom. 10.1007/s00454-006-1250-7
-
(2006)
Discrete Comput. Geom.
-
-
Niyogi, P.1
Smale, S.2
Weinberger, S.3
-
35
-
-
30844452117
-
N-Widths and Optimal Recovery
-
American Mathematical Society Providence
-
A. Pinkus, n-Widths and Optimal Recovery, in Proceedings of Symposia in Applied Mathematics, Vol. 36, pp. 51-66, American Mathematical Society, Providence, 1986.
-
(1986)
Proceedings of Symposia in Applied Mathematics
, vol.36
, pp. 51-66
-
-
Pinkus, A.1
-
37
-
-
0034704222
-
Nonlinear dimensionality reduction by locally linear embedding
-
5500
-
S. T. Roweis L. K. Saul 2000 Nonlinear dimensionality reduction by locally linear embedding Science 290 5500 2323 2326
-
(2000)
Science
, vol.290
, pp. 2323-2326
-
-
Roweis, S.T.1
Saul, L.K.2
-
38
-
-
33746801607
-
Geometric approach to error correcting codes and reconstruction of signals
-
M. Rudelson R. Vershynin 2005 Geometric approach to error correcting codes and reconstruction of signals Int. Math. Res. Not. 64 4019 4041
-
(2005)
Int. Math. Res. Not.
, vol.64
, pp. 4019-4041
-
-
Rudelson, M.1
Vershynin, R.2
-
39
-
-
34548270715
-
A compressed sensing camera: New theory and an implementation using digital micromirrors
-
San Jose, CA, January
-
D. Takhar, V. Bansal, M. Wakin, M. Duarte, D. Baron, K. F. Kelly, and R. G. Baraniuk, A compressed sensing camera: New theory and an implementation using digital micromirrors, Proc. Comp. Imaging IV at SPIE Electronic Imaging, San Jose, CA, January 2006.
-
(2006)
Proc. Comp. Imaging IV at SPIE Electronic Imaging
-
-
Takhar, D.1
Bansal, V.2
Wakin, M.3
Duarte, M.4
Baron, D.5
Kelly, K.F.6
Baraniuk, R.G.7
-
41
-
-
0034704229
-
A global geometric framework for nonlinear dimensionality reduction
-
5500
-
J. B. Tenenbaum V. de Silva J. C. Langford 2000 A global geometric framework for nonlinear dimensionality reduction Science 290 5500 2319 2323
-
(2000)
Science
, vol.290
, pp. 2319-2323
-
-
Tenenbaum, J.B.1
De Silva, V.2
Langford, J.C.3
-
42
-
-
33947632909
-
Random filters for compressive sampling and reconstruction
-
IEEE New York
-
J. A. Tropp, M. B. Wakin, M. F. Duarte, D. Baron, and R. G. Baraniuk, Random filters for compressive sampling and reconstruction, in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), IEEE, New York, 2006.
-
(2006)
Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP)
-
-
Tropp, J.A.1
Wakin, M.B.2
Duarte, M.F.3
Baron, D.4
Baraniuk, R.G.5
-
44
-
-
34548266934
-
-
Ph.D. thesis, Department of Electrical and Computer Engineering, Rice University, Houston, TX
-
M. B. Wakin, The Geometry of Low-Dimensional Signal Models, Ph.D. thesis, Department of Electrical and Computer Engineering, Rice University, Houston, TX, 2006.
-
(2006)
The Geometry of Low-dimensional Signal Models
-
-
Wakin, M.B.1
-
45
-
-
33947665032
-
Random projections of signal manifolds
-
IEEE New York
-
M. B. Wakin and R. G. Baraniuk, Random projections of signal manifolds, in Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP), IEEE, New York, 2006.
-
(2006)
Proc. Int. Conf. Acoustics, Speech, Signal Processing (ICASSP)
-
-
Wakin, M.B.1
Baraniuk, R.G.2
-
46
-
-
30844444151
-
The multiscale structure of non-differentiable image manifolds
-
San Diego, CA, August
-
M. B. Wakin, D. L. Donoho, H. Choi, and R. G. Baraniuk, The multiscale structure of non-differentiable image manifolds, in Proc. Wavelets XI at SPIE Optics and Photonics, San Diego, CA, August 2005.
-
(2005)
Proc. Wavelets XI at SPIE Optics and Photonics
-
-
Wakin, M.B.1
Donoho, D.L.2
Choi, H.3
Baraniuk, R.G.4
-
47
-
-
33744949513
-
Unsupervised learning of image manifolds by semidefinite programming
-
1. Special issue: Comput. Vis. Pattern Recognit. (CVPR 2004)
-
K. Q. Weinberger L. K. Saul 2006 Unsupervised learning of image manifolds by semidefinite programming Int. J. Comput. Vis. 70 1 77 90 Special issue: Comput. Vis. Pattern Recognit. (CVPR 2004)
-
(2006)
Int. J. Comput. Vis.
, vol.70
, pp. 77-90
-
-
Weinberger, K.Q.1
Saul, L.K.2
-
48
-
-
14544307975
-
Principal manifolds and nonlinear dimension reduction via tangent space alignment
-
1
-
Z. Zhang H. Zha 2005 Principal manifolds and nonlinear dimension reduction via tangent space alignment SIAM J. Sci. Comput. 26 1 313 338
-
(2005)
SIAM J. Sci. Comput.
, vol.26
, pp. 313-338
-
-
Zhang, Z.1
Zha, H.2
|