-
1
-
-
85032751965
-
Compressive sensing [Lecture notes]
-
Baraniuk, R. G. Compressive sensing [Lecture notes]. IEEE Signal Processing Magazine 24 (2007), no. 4, 118-121.
-
(2007)
IEEE Signal Processing Magazine
, vol.24
, Issue.4
, pp. 118-121
-
-
Baraniuk, R.G.1
-
2
-
-
55649115527
-
A simple proof of the restricted isometry property for random matrices (aka "The Johnson-Lindenstrauss lemma meets compressed sensing")
-
Baraniuk, R.; Davenport, M.; DeVore, R.; Wakin, M. B. A simple proof of the restricted isometry property for random matrices (aka "The Johnson-Lindenstrauss lemma meets compressed sensing"). Constr. Approx. 28 (2008), no. 3, 253-263.
-
(2008)
Constr. Approx.
, vol.28
, Issue.3
, pp. 253-263
-
-
Baraniuk, R.1
Davenport, M.2
DeVore, R.3
Wakin, M.B.4
-
4
-
-
84878104490
-
Compressive sampling
-
European Mathematical Society, Zürich
-
Candès, E. J. Compressive sampling. International Congress of Mathematicians. Vol. III, 1433-1452. European Mathematical Society, Zürich, 2006.
-
(2006)
International Congress of Mathematicians
, vol.3
, pp. 1433-1452
-
-
Candès, E.J.1
-
6
-
-
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
-
7
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate measurements
-
Candès, E. J.; Romberg, J. K.; Tao, T. Stable signal recovery from incomplete and inaccurate measurements. Comm. Pure Appl. Math. 59 (2006), no. 8, 1207-1223.
-
(2006)
Comm. Pure Appl. Math.
, vol.59
, Issue.8
, pp. 1207-1223
-
-
Candès, E.J.1
Romberg, J.K.2
Tao, T.3
-
8
-
-
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
-
9
-
-
33947416035
-
Near-optimal signal recovery from random projections: universal encoding strategies? IEEE Trans
-
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)
Inform. Theory
, vol.52
, Issue.12
, pp. 5406-5425
-
-
Candès, E.J.1
Tao, T.2
-
10
-
-
57349174008
-
Enhancing sparsity by reweighted l1 minimization
-
Candès, E. J.; Wakin, M. B.; Boyd, S. P. Enhancing sparsity by reweighted l1 minimization. J. Fourier Anal. Appl. 14 (2008), no. 5-6, 877-905.
-
(2008)
J. Fourier Anal. Appl.
, vol.14
, Issue.5-6
, pp. 877-905
-
-
Candès, E.J.1
Wakin, M.B.2
Boyd, S.P.3
-
11
-
-
0031492191
-
Image recovery via total variation minimization and related problems
-
Chambolle, A.; Lions, P.-L. Image recovery via total variation minimization and related problems. Numer. Math. 76 (1997), no. 2, 167-188.
-
(1997)
Numer. Math.
, vol.76
, Issue.2
, pp. 167-188
-
-
Chambolle, A.1
Lions, P.-L.2
-
12
-
-
34548724437
-
Exact reconstructions of sparse signals via nonconvex minimization
-
Chartrand, R. Exact reconstructions of sparse signals via nonconvex minimization. IEEE Signal Process. Lett. 14 (2007), no. 10, 707-701.
-
(2007)
IEEE Signal Process. Lett.
, vol.14
, Issue.10
, pp. 707-701
-
-
Chartrand, R.1
-
13
-
-
70049114249
-
Nonconvex compressive sensing and reconstruction of gradient-sparse images: random vs. tomographic Fourier sampling
-
Available at
-
Chartrand, R. Nonconvex compressive sensing and reconstruction of gradient-sparse images: random vs. tomographic Fourier sampling. IEEE International Conference on Image Processing (ICIP) 2008. Available at: http://math.lanl.gov/TUKEKL+MT2SYT.-1.CANrick/Publications/chartrand-2008-nonconvex.shtml.
-
(2008)
IEEE International Conference on Image Processing (ICIP)
-
-
Chartrand, R.1
-
14
-
-
44449127493
-
Restricted isometry properties and nonconvex compressive sensing
-
035020
-
Chartrand, R.; Staneva, V. Restricted isometry properties and nonconvex compressive sensing. Inverse Problems 24 (2008), no. 035020, 1-14.
-
(2008)
Inverse Problems
, vol.24
, pp. 1-14
-
-
Chartrand, R.1
Staneva, V.2
-
15
-
-
51449111119
-
Iteratively reweighted algorithms for compressive sensing
-
Speech, and Signal Processing (ICASSP), Available at
-
Chartrand, R.; Yin, W. Iteratively reweighted algorithms for compressive sensing. Proceedings of the 33rd IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 2008. Available at: http://math.lanl.gov/(rick/Publications/chartrand-2008-iteratively.shtml.
-
(2008)
Proceedings of the 33rd IEEE International Conference on Acoustics
-
-
Chartrand, R.1
Yin, W.2
-
16
-
-
0032131292
-
Atomic decomposition by basis pursuit
-
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).
-
(1998)
SIAM J. Sci. Comput.
, vol.20
, Issue.1
, pp. 33-61
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
17
-
-
0000364765
-
Robust modeling with erratic data
-
Claerbout, J. F.; Muir, F. Robust modeling with erratic data. Geophysics 38 (1973), no. 5, 826-844.
-
(1973)
Geophysics
, vol.38
, Issue.5
, pp. 826-844
-
-
Claerbout, J.F.1
Muir, F.2
-
18
-
-
84968505432
-
Rate of convergence of Lawson's algorithm
-
Cline, A. K. Rate of convergence of Lawson's algorithm. Math. Comp. 26 (1972), 167-176.
-
(1972)
Math. Comp.
, vol.26
, pp. 167-176
-
-
Cline, A.K.1
-
19
-
-
57349181932
-
Compressed sensing and best k-term approximation
-
Cohen, A.; Dahmen, W.; DeVore, R. Compressed sensing and best k-term approximation. J. Amer. Math. Soc. 22 (2009), no. 1, 211-231.
-
(2009)
J. Amer. Math. Soc.
, vol.22
, Issue.1
, pp. 211-231
-
-
Cohen, A.1
Dahmen, W.2
DeVore, R.3
-
20
-
-
85009724776
-
Nonlinear approximation
-
DeVore, R. A. Nonlinear approximation. Acta Numer. 7 (1998), 51-150.
-
(1998)
Acta Numer
, vol.7
, pp. 51-150
-
-
DeVore, R.A.1
-
21
-
-
33645712892
-
Compressed sensing
-
Donoho, D. L. Compressed sensing. IEEE Trans. Inform. Theory 52 (2006), no. 4, 1289-1306.
-
(2006)
IEEE Trans. Inform. Theory
, vol.52
, Issue.4
, pp. 1289-1306
-
-
Donoho, D.L.1
-
22
-
-
33646479497
-
High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension
-
Donoho, D. L. High-dimensional centrally symmetric polytopes with neighborliness proportional to dimension. Discrete Comput. Geom. 35 (2006), no. 4, 617-652.
-
(2006)
Discrete Comput. Geom.
, vol.35
, Issue.4
, pp. 617-652
-
-
Donoho, D.L.1
-
23
-
-
0026845575
-
Signal recovery and the large sieve
-
Donoho, D. L.; Logan, B. F. Signal recovery and the large sieve. SIAM J. Appl. Math. 52 (1992), no. 2, 577-591.
-
(1992)
SIAM J. Appl. Math.
, vol.52
, Issue.2
, pp. 577-591
-
-
Donoho, D.L.1
Logan, B.F.2
-
24
-
-
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
-
25
-
-
22144488449
-
Sparse nonnegative solution of underdetermined linear equations by linear programming
-
electronic
-
Donoho, D. L.; Tanner, J. Sparse nonnegative solution of underdetermined linear equations by linear programming. Proc. Natl. Acad. Sci. USA 102 (2005), no. 27, 9446-9451 (electronic).
-
(2005)
Proc. Natl. Acad. Sci. USA
, vol.102
, Issue.27
, pp. 9446-9451
-
-
Donoho, D.L.1
Tanner, J.2
-
26
-
-
57349138185
-
Counting faces of randomly projected polytopes when the projection radically lowers dimension
-
Donoho, D. L.; Tanner, J. Counting faces of randomly projected polytopes when the projection radically lowers dimension. J. Amer. Math. Soc. 22 (2009), no. 1, 1-53.
-
(2009)
J. Amer. Math. Soc.
, vol.22
, Issue.1
, pp. 1-53
-
-
Donoho, D.L.1
Tanner, J.2
-
27
-
-
55349134896
-
1-norm minimization problems when the solution may be sparse
-
1-norm minimization problems when the solution may be sparse. IEEE Trans. Inform. Theory 54 (2008), no. 11, 4789-4812.
-
(2008)
IEEE Trans. Inform. Theory
, vol.54
, Issue.11
, pp. 4789-4812
-
-
Donoho, D.L.1
Tsaig, Y.2
-
28
-
-
36749072615
-
Majorization-minimization algorithms for wavelet-based image restoration
-
Figueiredo, M. A. T.; Bioucas-Dias, J. M.; Nowak, R. D. Majorization-minimization algorithms for wavelet-based image restoration. IEEE Trans. Image Process. 16 (2007), no. 12, 2980-2991.
-
(2007)
IEEE Trans. Image Process.
, vol.16
, Issue.12
, pp. 2980-2991
-
-
Figueiredo, M.A.T.1
Bioucas-Dias, J.M.2
Nowak, R.D.3
-
29
-
-
34548280687
-
Restoration of color images by vector valued BV functions and variational calculus
-
Fornasier, M.; March, R. Restoration of color images by vector valued BV functions and variational calculus. SIAM J. Appl. Math. 68 (2007), no. 2, 437-460.
-
(2007)
SIAM J. Appl. Math.
, vol.68
, Issue.2
, pp. 437-460
-
-
Fornasier, M.1
March, R.2
-
30
-
-
0031102203
-
Sparse signal reconstruction from limited data using FOCUSS: a re-weighted minimum norm algorithm
-
Gorodnitsky, I. F.; Rao, B. D. Sparse signal reconstruction from limited data using FOCUSS: a re-weighted minimum norm algorithm. IEEE Trans. Signal Process. 45 (1997), no. 3, 600-616.
-
(1997)
IEEE Trans. Signal Process.
, vol.45
, Issue.3
, pp. 600-616
-
-
Gorodnitsky, I.F.1
Rao, B.D.2
-
31
-
-
34047182148
-
Highly sparse representations from dictionaries are unique and independent of the sparseness measure
-
Gribonval, R.; Nielsen, M. Highly sparse representations from dictionaries are unique and independent of the sparseness measure. Appl. Comput. Harmon. Anal. 22 (2007), no. 3, 335-355.
-
(2007)
Appl. Comput. Harmon. Anal.
, vol.22
, Issue.3
, pp. 335-355
-
-
Gribonval, R.1
Nielsen, M.2
-
33
-
-
0011327884
-
p problems
-
p problems. SIAM J. Optim. 3 (1993), no. 3, 609-629.
-
(1993)
SIAM J. Optim.
, vol.3
, Issue.3
, pp. 609-629
-
-
Li, Y.1
-
35
-
-
0003940656
-
-
Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics. Wiley, Chichester
-
Osborne, M. R. Finite algorithms in optimization and data analysis. Wiley Series in Probability and Mathematical Statistics: Applied Probability and Statistics. Wiley, Chichester, 1985.
-
(1985)
Finite algorithms in optimization and data analysis
-
-
Osborne, M.R.1
-
36
-
-
0004260833
-
-
Cambridge Tracts in Mathematics, Cambridge University Press, Cambridge
-
1-approximation. Cambridge Tracts in Mathematics, 93. Cambridge University Press, Cambridge, 1989.
-
(1989)
1-approximation.
, vol.93
-
-
Pinkus, A.M.1
-
37
-
-
52349092455
-
On sparse reconstruction from Fourier and Gaussian measurements
-
Rudelson, M.; Vershynin, R. On sparse reconstruction from Fourier and Gaussian measurements. Comm. Pure Appl. Math. 61 (2008), no. 8, 1025-1045.
-
(2008)
Comm. Pure Appl. Math.
, vol.61
, Issue.8
, pp. 1025-1045
-
-
Rudelson, M.1
Vershynin, R.2
-
38
-
-
51449102007
-
Stable sparse approximations via nonconvex optimization
-
ICASSP
-
Saab, R.; Chartrand, R.; Yilmaz, O. Stable sparse approximations via nonconvex optimization. Proceedings of the 33rd IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP), 3885-3888, ICASSP, 2008.
-
(2008)
Proceedings of the 33rd IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP)
, pp. 3885-3888
-
-
Saab, R.1
Chartrand, R.2
Yilmaz, O.3
-
39
-
-
0008988926
-
Linear inversion of band-limited reflection seismograms
-
Santosa, F.; Symes, W. W. Linear inversion of band-limited reflection seismograms. SIAM J. Sci. Statist. Comput. 7 (1986), no. 4, 1307-1330.
-
(1986)
SIAM J. Sci. Statist. Comput.
, vol.7
, Issue.4
, pp. 1307-1330
-
-
Santosa, F.1
Symes, W.W.2
-
41
-
-
0001287271
-
Regression shrinkage and selection via the lasso
-
Tibshirani, R. Regression shrinkage and selection via the lasso. J. Roy. Statist. Soc. Ser. B 58 (1996), no. 1, 267-288.
-
(1996)
J. Roy. Statist. Soc. Ser. B
, vol.58
, Issue.1
, pp. 267-288
-
-
Tibshirani, R.1
|