-
1
-
-
77951957723
-
Dequantizing compressed sensing with non-Gaussian constraints
-
Cairo, Egypt, Nov.
-
L. Jacques, D. K. Hammond, and M. J. Fadili, "Dequantizing compressed sensing with non-Gaussian constraints," in Proc. IEEE Int. Conf. Image Processing (ICIP), Cairo, Egypt, Nov. 2009.
-
(2009)
Proc. IEEE Int. Conf. Image Processing (ICIP)
-
-
Jacques, L.1
Hammond, D.K.2
Fadili, M.J.3
-
2
-
-
33744726904
-
Quantitative robust uncertainty principles and optimally sparse decompositions
-
E. 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.1
Romberg, J.2
-
3
-
-
33645712892
-
Compressed sensing
-
D. 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.1
-
4
-
-
33947416035
-
Near-optimal signal recovery from random projections: Universal encoding strategies
-
E. J. Candès and T. Tao, "Near-optimal signal recovery from random projections: Universal encoding strategies," IEEE Trans. Inf. Theory, vol. 52, pp. 5406-5425, 2004.
-
(2004)
IEEE Trans. Inf. Theory
, vol.52
, pp. 5406-5425
-
-
Candès, E.J.1
Tao, T.2
-
5
-
-
51849141504
-
1-bit compressive sensing
-
Princeton, NJ, Mar.
-
P. Boufounos and R. G. Baraniuk, "1-bit compressive sensing," in 42nd Annu. Conf. Information Sciences and Systems (CISS), Princeton, NJ, Mar. 2008, pp. 19-21.
-
(2008)
42nd Annu. Conf. Information Sciences and Systems (CISS)
, pp. 19-21
-
-
Boufounos, P.1
Baraniuk, R.G.2
-
6
-
-
77950663558
-
Distortion-rate functions for quantized compressive sensing
-
arXiv: 0901.0749, submitted for publication
-
W. Dai, H. V. Pham, and O. Milenkovic, "Distortion-rate functions for quantized compressive sensing," in IEEE Information Theory Workshop (ITW) IEEE Int. Symp. InformationTheory (ISIT), 2009, arXiv:0901.0749, submitted for publication.
-
(2009)
IEEE Information Theory Workshop (ITW) IEEE Int. Symp. InformationTheory (ISIT)
-
-
Dai, W.1
Pham, H.V.2
Milenkovic, O.3
-
8
-
-
0028386320
-
Deterministic analysis of oversampled A/D conversion and decoding improvement based on consistent estimates
-
N. Thao and M. Vetterli, "Deterministic analysis of oversampled A/D conversion and decoding improvement based on consistent estimates," IEEE Trans. Signal Process., vol. 42, no. 3, pp. 519-531, 1994.
-
(1994)
IEEE Trans. Signal Process
, vol.42
, Issue.3
, pp. 519-531
-
-
Thao, N.1
Vetterli, M.2
-
9
-
-
78650864218
-
Some applications of l∞ -constraints in image processing
-
P. Weiss, G. Aubert, and L. Blanc-Féraud, "Some applications of l∞ -constraints in image processing," INRIA Res. Rep., vol. 6115, 2006.
-
(2006)
INRIA Res. Rep.
, vol.6115
-
-
Weiss, P.1
Aubert, G.2
Blanc-Féraud, L.3
-
10
-
-
51449111651
-
Compression artifacts reduction using variational methods: Algorithms and experimental study
-
ICASSP 2008
-
P. Weiss, L. Blanc-Feraud, T. Andre, and M. Antonini, "Compression artifacts reduction using variational methods: Algorithms and experimental study," in IEEE Int. Conf. Acoustics, Speech and Signal Processing, 2008. ICASSP 2008, 2008, pp. 1173-1176.
-
(2008)
IEEE Int. Conf. Acoustics, Speech and Signal Processing, 2008
, pp. 1173-1176
-
-
Weiss, P.1
Blanc-Feraud, L.2
Andre, T.3
Antonini, M.4
-
11
-
-
85032750944
-
Compressive sampling and lossy compression
-
V. Goyal, A. Fletcher, and S. Rangan, "Compressive sampling and lossy compression," IEEE Signal Process. Mag., vol. 25, no. 2, pp. 48-56, 2008.
-
(2008)
IEEE Signal Process. Mag.
, vol.25
, Issue.2
, pp. 48-56
-
-
Goyal, V.1
Fletcher, A.2
Rangan, S.3
-
13
-
-
34547642796
-
Quantization of sparse representations
-
Snowbird, UT, Mar.
-
P. Boufounos and R. G. Baraniuk, "Quantization of sparse representations," in Data Compression Conf., Snowbird, UT, Mar. 2007.
-
(2007)
Data Compression Conf.
-
-
Boufounos, P.1
Baraniuk, R.G.2
-
14
-
-
43749118418
-
Compressed sensing and redundant dictionaries
-
May
-
H. Rauhut, K. Schnass, and P. Vandergheynst, "Compressed sensing and redundant dictionaries," IEEE Trans. Inf. Theory, vol. 54, no. 5, pp. 2210-2219, May 2008.
-
(2008)
IEEE Trans. Inf. Theory
, vol.54
, Issue.5
, pp. 2210-2219
-
-
Rauhut, H.1
Schnass, K.2
Vandergheynst, P.3
-
16
-
-
79960557614
-
-
Preprint
-
J. Laska, P. Boufounos, M. Davenport, and R. Baraniuk, "Democracy in Action: Quantization, Saturation, and Compressive Sensing," 2009, preprint.
-
(2009)
Democracy in Action: Quantization, Saturation, and Compressive Sensing
-
-
Laska, J.1
Boufounos, P.2
Davenport, M.3
Baraniuk, R.4
-
17
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate measurements
-
E. Candès, J. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Commun. Pure Appl. Math., vol. 59, no. 8, pp. 1207-1223, 2006.
-
(2006)
Commun. Pure Appl. Math.
, vol.59
, Issue.8
, pp. 1207-1223
-
-
Candès, E.1
Romberg, J.2
Tao, T.3
-
18
-
-
70449617892
-
Monotone operator splitting for fast sparse solutions of inverse problems
-
submitted
-
M. Fadili and J.-L. Starck, "Monotone operator splitting for fast sparse solutions of inverse problems," SIAM J. Imag. Sci., 2009, submitted.
-
(2009)
SIAM J. Imag. Sci.
-
-
Fadili, M.1
Starck, J.-L.2
-
19
-
-
13244295576
-
Solving monotone inclusions via compositions of nonexpansive averaged operators
-
P. Combettes, "Solving monotone inclusions via compositions of nonexpansive averaged operators," Optimization, vol. 53, no. 5, pp. 475-504, 2004.
-
(2004)
Optimization
, vol.53
, Issue.5
, pp. 475-504
-
-
Combettes, P.1
-
20
-
-
0035273106
-
Atomic decomposition by basis pursuit
-
S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev. vol. 43, no. 1, pp. 129-159, 2001 [Online]. Available: http://link.aip.org/link/?SIR/43/129/1, [Online]. Available:
-
(2001)
SIAM Rev.
, vol.43
, Issue.1
, pp. 129-159
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
21
-
-
84947403595
-
Probability inequalities for sums of bounded random variables
-
W. Hoeffding, "Probability inequalities for sums of bounded random variables," J. Amer. Statist. Assoc., vol. 58, no. 301, pp. 13-30, 1963.
-
(1963)
J. Amer. Statist. Assoc.
, vol.58
, Issue.301
, pp. 13-30
-
-
Hoeffding, W.1
-
22
-
-
42649140570
-
The restricted isometry property and its implications for compressed sensing
-
E. Candès, "The restricted isometry property and its implications for compressed sensing," Compte Rendus Acad. Sci. Paris, Serie I, vol. 346, pp. 589-592, 2008.
-
(2008)
Compte Rendus Acad. Sci. Paris, Serie I
, vol.346
, pp. 589-592
-
-
Candès, E.1
-
23
-
-
55649115527
-
A simple proof of the restricted isometry property for random matrices
-
Dec.
-
R. G. Baraniuk, M. A. Davenport, R. A. DeVore, and M. B.Wakin, "A simple proof of the restricted isometry property for random matrices," Construct. Approx., vol. 28, no. 3, pp. 253-263, Dec. 2008.
-
(2008)
Construct. Approx.
, vol.28
, Issue.3
, pp. 253-263
-
-
Baraniuk, R.G.1
Davenport, M.A.2
Devore, R.A.3
Wakin, M.B.4
-
24
-
-
57349138185
-
Counting faces of randomly-projected polytopes when the projection radically lowers dimension
-
Jan.
-
D. Donoho and J. Tanner, "Counting faces of randomly-projected polytopes when the projection radically lowers dimension," J. Amer. Math. Soc., vol. 22, no. 1, pp. 1-15, Jan. 2009.
-
(2009)
J. Amer. Math. Soc.
, vol.22
, Issue.1
, pp. 1-15
-
-
Donoho, D.1
Tanner, J.2
-
25
-
-
38849196916
-
Reconstruction and subgaussian operators in asymptotic geometric analysis
-
S. Mendelson, A. Pajor, and N. Tomczak-Jaegermann, "Reconstruction and subgaussian operators in asymptotic geometric analysis," Geom. Funct. Anal., vol. 17, no. 4, pp. 1248-1282, 2007.
-
(2007)
Geom. Funct. Anal.
, vol.17
, Issue.4
, pp. 1248-1282
-
-
Mendelson, S.1
Pajor, A.2
Tomczak-Jaegermann, N.3
-
26
-
-
64549162832
-
Combining geometry and combinatorics:A unified approach to sparse signal recovery
-
R. Berinde, A. C. Gilbert, P. Indyk, H. Karloff, and M. J. Strauss, "Combining geometry and combinatorics:A unified approach to sparse signal recovery," in Allerton Conf., 2008.
-
(2008)
Allerton Conf.
-
-
Berinde, R.1
Gilbert, A.C.2
Indyk, P.3
Karloff, H.4
Strauss, M.J.5
-
28
-
-
44449127493
-
Restricted isometry properties and nonconvex compressive sensing
-
R. Chartrand and V. Staneva, "Restricted isometry properties and nonconvex compressive sensing," Inv. Probl., vol. 24, p. 035020, 2008.
-
(2008)
Inv. Probl.
, vol.24
, pp. 035020
-
-
Chartrand, R.1
Staneva, V.2
-
29
-
-
57349181932
-
Compressed sensing and best k-term approximation
-
A. Cohen, R. DeVore, and W. Dahmen, "Compressed sensing and best k-term approximation," J. Amer. Math. Soc., vol. 22, pp. 211-231, 2009.
-
(2009)
J. Amer. Math. Soc.
, vol.22
, pp. 211-231
-
-
Cohen, A.1
De Vore, R.2
Dahmen, W.3
-
30
-
-
0001668641
-
Parametric generalized Gaussian density estimation
-
M. Varanasi and B. Aazhang, "Parametric generalized Gaussian density estimation," J. Acoust. Soc. Amer., vol. 86, pp. 1404-1415, 1989.
-
(1989)
J. Acoust. Soc. Amer.
, vol.86
, pp. 1404-1415
-
-
Varanasi, M.1
Aazhang, B.2
-
32
-
-
65749091178
-
p -sparse recovery can fail for < p ≤ 1
-
May
-
p -sparse recovery can fail for < p ≤ 1," IEEE Trans. Inf. Theory, vol. 55, no. 5, pp. 2203-2214, May 2009.
-
(2009)
IEEE Trans. Inf. Theory
, vol.55
, Issue.5
, pp. 2203-2214
-
-
Davies, M.E.1
Gribonval, R.2
-
34
-
-
34249788454
-
The concentration of fractional distances
-
D. François, V. Wertz, and M. Verleysen, "The concentration of fractional distances," IEEE Trans. Knowl. Data. Eng., pp. 873-886, 2007.
-
(2007)
IEEE Trans. Knowl. Data. Eng.
, pp. 873-886
-
-
François, D.1
Wertz, V.2
Verleysen, M.3
-
35
-
-
33748287296
-
Weak parallelogram laws for banach spaces
-
W. Bynum, "Weak parallelogram laws for banach spaces," Can. Math. Bull, vol. 19, no. 3, pp. 269-275, 1976.
-
(1976)
Can. Math. Bull
, vol.19
, Issue.3
, pp. 269-275
-
-
Bynum, W.1
-
36
-
-
0007417686
-
Inequalities in banach spaces with applications
-
H. K. Xu, "Inequalities in banach spaces with applications," Nonlinear Anal., vol. 16, no. 12, pp. 1127-1138, 1991.
-
(1991)
Nonlinear Anal.
, vol.16
, Issue.12
, pp. 1127-1138
-
-
Xu, H.K.1
-
37
-
-
84968476556
-
Calculation of the gamma function by Stirling's formula
-
R. Spira, "Calculation of the gamma function by Stirling's formula," Math. Comput., vol. 25, no. 114, pp. 317-322, 1971.
-
(1971)
Math. Comput.
, vol.25
, Issue.114
, pp. 317-322
-
-
Spira, R.1
-
38
-
-
62649171652
-
A proximal decomposition method for solving convex variational inverse problems
-
Dec.
-
P. Combettes and J. Pesquet, "A proximal decomposition method for solving convex variational inverse problems," Inv. Probl., vol. 24, p. 27, Dec. 2008.
-
(2008)
Inv. Probl.
, vol.24
, pp. 27
-
-
Combettes, P.1
Pesquet, J.2
-
39
-
-
0041356704
-
Fonctions Convexes Duales et Points Proximaux dans un Espace Hilbertien
-
J.-J. Moreau, "Fonctions Convexes Duales et Points Proximaux Dans un Espace Hilbertien," CR Acad. Sci. Paris Ser. A Math, vol. 255, pp. 2897-2899, 1962.
-
(1962)
CR Acad. Sci. Paris Ser. A Math
, vol.255
, pp. 2897-2899
-
-
Moreau, J.-J.1
-
40
-
-
30844438177
-
Signal recovery by proximal forwardbackward splitting
-
P. Combettes and V. Wajs, "Signal recovery by proximal forwardbackward splitting," Multiscale Model. Simul., vol. 4, no. 4, p. 1168, 2006.
-
(2006)
Multiscale Model. Simul.
, vol.4
, Issue.4
, pp. 1168
-
-
Combettes, P.1
Wajs, V.2
-
43
-
-
36849088522
-
Sparse MRI: The application of compressed sensing for rapid MR imaging
-
M. Lustig, D. Donoho, and J. Pauly, "Sparse MRI: The application of compressed sensing for rapid MR imaging," Magn. Res. Med., vol. 58, no. 6, p. 1182, 2007.
-
(2007)
Magn. Res. Med.
, vol.58
, Issue.6
, pp. 1182
-
-
Lustig, M.1
Donoho, D.2
Pauly, J.3
-
44
-
-
44049111982
-
Nonlinear total variation based noise removal algorithms
-
Jan.
-
L. Rudin, S. Osher, and E. Fatemi, "Nonlinear total variation based noise removal algorithms," Physica D, Jan. 1992.
-
(1992)
Physica D
-
-
Rudin, L.1
Osher, S.2
Fatemi, E.3
-
45
-
-
0001556589
-
Iterative methods for total variation denoising
-
C. R. Vogel and M. E. Oman, "Iterative methods for total variation denoising," SIAM J. Sci. Comput., vol. 17, no. 1, pp. 227-238, 1996.
-
(1996)
SIAM J. Sci. Comput.
, vol.17
, Issue.1
, pp. 227-238
-
-
Vogel, C.R.1
Oman, M.E.2
-
46
-
-
0033295350
-
A nonlinear primal-dual method for total variation-based image restoration
-
T. F. Chan, G. H. Golub, and P. Mulet, "A nonlinear primal-dual method for total variation-based image restoration," SIAM J. Sci. Comput., vol. 20, no. 6, pp. 1964-1977, 1999.
-
(1999)
SIAM J. Sci. Comput.
, vol.20
, Issue.6
, pp. 1964-1977
-
-
Chan, T.F.1
Golub, G.H.2
Mulet, P.3
-
47
-
-
1242352408
-
An algorithm for total variation minimization and applications
-
Jan.
-
A. Chambolle, "An algorithm for total variation minimization and applications," J. Math. Imag. Vis., Jan. 2004.
-
(2004)
J. Math. Imag. Vis.
-
-
Chambolle, A.1
-
48
-
-
85012251675
-
A new alternating minimization algorithm for total variation image reconstruction
-
Y. Wang, J. Yang, W. Yin, and Y. Zhang, "A new alternating minimization algorithm for total variation image reconstruction," SIAM J. Imag. Sci., vol. 1, no. 3, pp. 248-272, 2008.
-
(2008)
SIAM J. Imag. Sci.
, vol.1
, Issue.3
, pp. 248-272
-
-
Wang, Y.1
Yang, J.2
Yin, W.3
Zhang, Y.4
-
50
-
-
4344588165
-
The concentration of measure phenomenon
-
M. Ledoux, "The concentration of measure phenomenon," J. Amer. Math. Soc., 2001.
-
(2001)
J. Amer. Math. Soc.
-
-
Ledoux, M.1
|