-
1
-
-
79954457647
-
Global convergence of the locally competitive algorithm
-
Jan
-
A. Balavoine, C. J. Rozell, and J. Romberg, "Global convergence of the locally competitive algorithm," in Proc. IEEE Digital Signal Process. Workshop, Jan. 2011, pp. 431-436.
-
(2011)
Proc. IEEE Digital Signal Process. Workshop
, pp. 431-436
-
-
Balavoine, A.1
Rozell, C.J.2
Romberg, J.3
-
2
-
-
77952740831
-
On the role of sparse and redundant representations in image processing
-
Jun.
-
M. Elad, M. A. T. Figueiredo, and Y. Ma, "On the role of sparse and redundant representations in image processing," Proc. IEEE, vol. 98, no. 6, pp. 972-982, Jun. 2010.
-
(2010)
Proc. IEEE
, vol.98
, Issue.6
, pp. 972-982
-
-
Elad, M.1
Figueiredo, M.A.T.2
Ma, Y.3
-
3
-
-
4043166218
-
Sparse coding of sensory inputs
-
Aug
-
B. A. Olshausen and D. J. Field, "Sparse coding of sensory inputs," Current Opinion Neurobiol., vol. 14, no. 4, pp. 481-487, Aug. 2004.
-
(2004)
Current Opinion Neurobiol
, vol.14
, Issue.4
, pp. 481-487
-
-
Olshausen, B.A.1
Field, D.J.2
-
4
-
-
0029938380
-
Emergence of simple-cell receptive field properties by learning a sparse code for natural images
-
Jun
-
B. A. Olshausen and D. J. Field, "Emergence of simple-cell receptive field properties by learning a sparse code for natural images," Nature, vol. 381, no. 6583, pp. 607-609, Jun. 1996.
-
(1996)
Nature
, vol.381
, Issue.6583
, pp. 607-609
-
-
Olshausen, B.A.1
Field, D.J.2
-
5
-
-
0030779611
-
Sparse coding with an overcomplete basis set: A strategy employed by V1?
-
Dec
-
B. A. Olshausen and D. J. Field, "Sparse coding with an overcomplete basis set: A strategy employed by V1?" Vis. Res., vol. 37, no. 23, pp. 3311-3325, Dec. 1997.
-
(1997)
Vis. Res
, vol.37
, Issue.23
, pp. 3311-3325
-
-
Olshausen, B.A.1
Field, D.J.2
-
6
-
-
31744440684
-
Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information
-
Feb
-
E. J. Candes, J. Romberg, and T. Tao, "Robust uncertainty principles: Exact signal reconstruction from highly incomplete frequency information," IEEE Trans. Inf. Theory, vol. 52, no. 2, pp. 489-509, Feb. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.2
, pp. 489-509
-
-
Candes, E.J.1
Romberg, J.2
Tao, T.3
-
7
-
-
33645712892
-
Compressed sensing
-
Apr
-
D. L. Donoho, "Compressed sensing," IEEE Trans. Inf. Theory, vol. 52, no. 4, pp. 1289-1306, Apr. 2006.
-
(2006)
IEEE Trans. Inf. Theory
, vol.52
, Issue.4
, pp. 1289-1306
-
-
Donoho, D.L.1
-
8
-
-
39449109476
-
An interior-point method for large-scale L1-regularized least squares
-
Dec
-
S.-J. Kim, K. Koh, M. Lustig, S. Boyd, and D. Gorinevsky, "An interior-point method for large-scale L1-regularized least squares," IEEE J. Sel. Topics Signal Process., vol. 1, no. 4, pp. 606-617, Dec. 2007.
-
(2007)
IEEE J. Sel. Topics Signal Process
, vol.1
, Issue.4
, pp. 606-617
-
-
Kim, S.-J.1
Koh, K.2
Lustig, M.3
Boyd, S.4
Gorinevsky, D.5
-
9
-
-
39449126969
-
Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems
-
Dec
-
M. A. T. Figueiredo, R. D. Nowak, and S. J.Wright, "Gradient projection for sparse reconstruction: Application to compressed sensing and other inverse problems," IEEE J. Sel. Topics Signal Process., vol. 1, no. 4, pp. 586-598, Dec. 2007.
-
(2007)
IEEE J. Sel. Topics Signal Process
, vol.1
, Issue.4
, pp. 586-598
-
-
Figueiredo, M.A.T.1
Nowak, R.D.2
Wright, S.J.3
-
10
-
-
7044231546
-
An iterative thresholding algorithm for linear inverse problems with a sparsity constraint
-
Aug
-
I. Daubechies, M. Defrise, and C. De Mol, "An iterative thresholding algorithm for linear inverse problems with a sparsity constraint," Commun. Pure Appl. Math., vol. 57, no. 11, pp. 1413-1457, Aug. 2004.
-
(2004)
Commun. Pure Appl. Math
, vol.57
, Issue.11
, pp. 1413-1457
-
-
Daubechies, I.1
Defrise, M.2
De Mol, C.3
-
12
-
-
0020118274
-
Neural networks and physical systems with emergent collective computational abilities
-
Apr
-
J. J. Hopfield, "Neural networks and physical systems with emergent collective computational abilities," Proc. Nat. Acad. Sci., vol. 79, no. 8, pp. 2554-2558, Apr. 1982.
-
(1982)
Proc. Nat. Acad. Sci
, vol.79
, Issue.8
, pp. 2554-2558
-
-
Hopfield, J.J.1
-
13
-
-
68849100982
-
Configurable analog signal processing
-
Dec
-
C. Twigg and P. Hasler, "Configurable analog signal processing," Digital Signal Process., vol. 19, no. 6, pp. 904-922, Dec. 2009.
-
(2009)
Digital Signal Process
, vol.19
, Issue.6
, pp. 904-922
-
-
Twigg, C.1
Hasler, P.2
-
14
-
-
51849128608
-
Sparse coding via thresholding and local competition in neural circuits
-
Oct
-
C. J. Rozell, D. H. Johnson, R. G. Baraniuk, and B. A. Olshausen, "Sparse coding via thresholding and local competition in neural circuits," Neural Comput., vol. 20, no. 10, pp. 2526-2563, Oct. 2008.
-
(2008)
Neural Comput
, vol.20
, Issue.10
, pp. 2526-2563
-
-
Rozell, C.J.1
Johnson, D.H.2
Baraniuk, R.G.3
Olshausen, B.A.4
-
15
-
-
2442472068
-
Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle
-
Apr
-
J. P. Hespanha, "Uniform stability of switched linear systems: Extensions of LaSalle's invariance principle," IEEE Trans. Autom. Control, vol. 49, no. 4, pp. 470-482, Apr. 2004.
-
(2004)
IEEE Trans. Autom. Control
, vol.49
, Issue.4
, pp. 470-482
-
-
Hespanha, J.P.1
-
16
-
-
34548629454
-
A simplified dual neural network for quadratic programming with its KWTA application
-
Nov
-
S. Liu and J. Wang, "A simplified dual neural network for quadratic programming with its KWTA application," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1500-1510, Nov. 2006.
-
(2006)
IEEE Trans. Neural Netw
, vol.17
, Issue.6
, pp. 1500-1510
-
-
Liu, S.1
Wang, J.2
-
17
-
-
0028497220
-
Exponential stability and oscillation of Hopfield graded response neural network
-
Sep
-
H. Yang and T. S. Dillon, "Exponential stability and oscillation of Hopfield graded response neural network," IEEE Trans. Neural Netw., vol. 5, no. 5, pp. 719-729, Sep. 1994.
-
(1994)
IEEE Trans. Neural Netw
, vol.5
, Issue.5
, pp. 719-729
-
-
Yang, H.1
Dillon, T.S.2
-
18
-
-
0001284544
-
A recurrent neural network for nonlinear optimization with a continuously differentiable objective function and bound constraints
-
Nov
-
X.-B. Liang and J. Wang, "A recurrent neural network for nonlinear optimization with a continuously differentiable objective function and bound constraints," IEEE Trans. Neural Netw., vol. 11, no. 6, pp. 1251-1262, Nov. 2000.
-
(2000)
IEEE Trans. Neural Netw
, vol.11
, Issue.6
, pp. 1251-1262
-
-
Liang, X.-B.1
Wang, J.2
-
19
-
-
10944255986
-
Absolute stability of analytic neural networks: An approach based on finite trajectory length
-
Dec
-
M. Forti and A. Tesi, "Absolute stability of analytic neural networks: An approach based on finite trajectory length," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 12, pp. 2460-2469, Dec. 2004.
-
(2004)
IEEE Trans. Circuits Syst. I, Reg. Papers
, vol.51
, Issue.12
, pp. 2460-2469
-
-
Forti, M.1
Tesi, A.2
-
20
-
-
58049205433
-
Convergence analysis of a class of nonsmooth gradient systems
-
Dec
-
W. Lu and J. Wang, "Convergence analysis of a class of nonsmooth gradient systems," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 55, no. 11, pp. 3514-3527, Dec. 2008.
-
(2008)
IEEE Trans. Circuits Syst. I, Reg. Papers
, vol.55
, Issue.11
, pp. 3514-3527
-
-
Lu, W.1
Wang, J.2
-
21
-
-
4143078142
-
A recurrent neural network with exponential convergence for solving convex quadratic program and related linear piecewise equations
-
Sep
-
Y. Xia, G. Feng, and J. Wang, "A recurrent neural network with exponential convergence for solving convex quadratic program and related linear piecewise equations," Neural Netw., vol. 17, no. 7, pp. 1003-1015, Sep. 2004.
-
(2004)
Neural Netw
, vol.17
, Issue.7
, pp. 1003-1015
-
-
Xia, Y.1
Feng, G.2
Wang, J.3
-
22
-
-
33751211222
-
Support vector classifiers via gradient systems with discontinuous righthand sides
-
Dec
-
L. V. Ferreira, E. Kaszkurewicz, and A. Bhaya, "Support vector classifiers via gradient systems with discontinuous righthand sides," Neural Netw., vol. 19, no. 10, pp. 1612-1623, Dec. 2006.
-
(2006)
Neural Netw
, vol.19
, Issue.10
, pp. 1612-1623
-
-
Ferreira, L.V.1
Kaszkurewicz, E.2
Bhaya, A.3
-
23
-
-
0029345226
-
New conditions for global stability of neural networks with application to linear and quadratic programming problems
-
Jul
-
M. Forti and A. Tesi, "New conditions for global stability of neural networks with application to linear and quadratic programming problems," IEEE Trans. Circuits Syst. I, Fundam. Theory Appl., vol. 42, no. 7, pp. 354-366, Jul. 1995.
-
(1995)
IEEE Trans. Circuits Syst. I, Fundam. Theory Appl
, vol.42
, Issue.7
, pp. 354-366
-
-
Forti, M.1
Tesi, A.2
-
24
-
-
68049124938
-
Dynamical behaviors of a class of recurrent neural networks with discontinuous neuron activations
-
Dec
-
L. Li and L. Huang, "Dynamical behaviors of a class of recurrent neural networks with discontinuous neuron activations," Appl. Math. Model., vol. 33, no. 12, pp. 4326-4336, Dec. 2009.
-
(2009)
Appl. Math. Model
, vol.33
, Issue.12
, pp. 4326-4336
-
-
Li, L.1
Huang, L.2
-
25
-
-
4744373635
-
Generalized neural network for nonsmooth nonlinear programming problems
-
Sep
-
M. Forti, P. Nistri, and M. Quincampoix, "Generalized neural network for nonsmooth nonlinear programming problems," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 51, no. 9, pp. 1741-1754, Sep. 2004.
-
(2004)
IEEE Trans. Circuits Syst. I, Reg. Papers
, vol.51
, Issue.9
, pp. 1741-1754
-
-
Forti, M.1
Nistri, P.2
Quincampoix, M.3
-
26
-
-
37849187126
-
Convergence of neural networks for programming problems via a nonsmooth Łojasiewicz inequality
-
Nov
-
M. Forti, P. Nistri, and M. Quincampoix, "Convergence of neural networks for programming problems via a nonsmooth Łojasiewicz inequality," IEEE Trans. Neural Netw., vol. 17, no. 6, pp. 1471-1486, Nov. 2006.
-
(2006)
IEEE Trans. Neural Netw
, vol.17
, Issue.6
, pp. 1471-1486
-
-
Forti, M.1
Nistri, P.2
Quincampoix, M.3
-
27
-
-
54749093290
-
Subgradient-based neural networks for nonsmooth convex optimization problems
-
Sep
-
X. Xue and W. Bian, "Subgradient-based neural networks for nonsmooth convex optimization problems," IEEE Trans. Circuits Syst. I, Reg. Papers, vol. 55, no. 8, pp. 2378-2391, Sep. 2008.
-
(2008)
IEEE Trans. Circuits Syst. I, Reg. Papers
, vol.55
, Issue.8
, pp. 2378-2391
-
-
Xue, X.1
Bian, W.2
-
28
-
-
79953827554
-
Finite-time convergent recurrent neural network with a hard-limiting activation function for constrained optimization with piecewise-linear objective functions
-
Apr.
-
Q. S. Liu and J. Wang, "Finite-time convergent recurrent neural network with a hard-limiting activation function for constrained optimization with piecewise-linear objective functions," IEEE Trans. Neural Netw., vol. 22, no. 4, pp. 601-613, Apr. 2011.
-
(2011)
IEEE Trans. Neural Netw
, vol.22
, Issue.4
, pp. 601-613
-
-
Liu, Q.S.1
Wang, J.2
-
29
-
-
61349147303
-
Stability and stabilizability of switched linear systems: A survey of recent results
-
Feb
-
H. Lin and P. J. Antsaklis, "Stability and stabilizability of switched linear systems: A survey of recent results," IEEE Trans. Autom. Control, vol. 54, no. 2, pp. 308-322, Feb. 2009.
-
(2009)
IEEE Trans. Autom. Control
, vol.54
, Issue.2
, pp. 308-322
-
-
Lin, H.1
Antsaklis, P.J.2
-
30
-
-
0034321873
-
On the computational power of winner-take-all
-
W. Maass, "On the computational power of winner-take-all," Neural Comput., vol. 12, no. 11, pp. 2519-2535, 2000.
-
(2000)
Neural Comput
, vol.12
, Issue.11
, pp. 2519-2535
-
-
Maass, W.1
-
31
-
-
0029291966
-
Sparse approximate solutions to linear systems
-
B. K. Natarajan, "Sparse approximate solutions to linear systems," SIAM J. Comput., vol. 24, no. 2, pp. 227-234, 1995.
-
(1995)
SIAM J. Comput
, vol.24
, Issue.2
, pp. 227-234
-
-
Natarajan, B.K.1
-
32
-
-
0035273106
-
Atomic decomposition by basis pursuit
-
Mar
-
S. S. Chen, D. L. Donoho, and M. A. Saunders, "Atomic decomposition by basis pursuit," SIAM Rev., vol. 43, no. 1, pp. 129-159, Mar. 2001.
-
(2001)
SIAM Rev
, vol.43
, Issue.1
, pp. 129-159
-
-
Chen, S.S.1
Donoho, D.L.2
Saunders, M.A.3
-
33
-
-
22144488449
-
Sparse nonnegative solutions of underdetermined linear equations by linear programming
-
D. L. Donoho and J. Tanner, "Sparse nonnegative solutions of underdetermined linear equations by linear programming," Proc. Nat. Acad. Sci. United States Amer., vol. 102, no. 27, pp. 9446-9451, 2005.
-
(2005)
Proc. Nat. Acad. Sci. United States Amer
, vol.102
, Issue.27
, pp. 9446-9451
-
-
Donoho, D.L.1
Tanner, J.2
-
34
-
-
8444239052
-
The Bayesian brain: The role of uncertainty in neural coding and computation
-
D. C. Knill and R. Pouget, "The Bayesian brain: The role of uncertainty in neural coding and computation," Trends Neurosci., vol. 27, no. 12, pp. 712-719, 2004.
-
(2004)
Trends Neurosci
, vol.27
, Issue.12
, pp. 712-719
-
-
Knill, D.C.1
Pouget, R.2
-
35
-
-
33847100046
-
A network that uses few active neurones to code visual input predicts the diverse shapes of cortical receptive fields
-
Apr
-
M. Rehn and F. T. Sommer, "A network that uses few active neurones to code visual input predicts the diverse shapes of cortical receptive fields," J. Comput. Neurosci., vol. 22, no. 2, pp. 135-146, Apr. 2007.
-
(2007)
J. Comput. Neurosci
, vol.22
, Issue.2
, pp. 135-146
-
-
Rehn, M.1
Sommer, F.T.2
-
36
-
-
33644513420
-
Efficient auditory coding
-
Feb
-
E. C. Smith and M. S. Lewicki, "Efficient auditory coding," Nature, vol. 439, no. 7079, pp. 978-982, Feb. 2006.
-
(2006)
Nature
, vol.439
, Issue.7079
, pp. 978-982
-
-
Smith, E.C.1
Lewicki, M.S.2
-
37
-
-
33846786895
-
Sparse approximation of images inspired from the functional architecture of the primary visual areas
-
S. Fischer, R. Redondo, L. Perrinet, and G. Cristóbal, "Sparse approximation of images inspired from the functional architecture of the primary visual areas," EURASIP J. Adv. Signal Process., vol. 2007, no. 1, pp. 1-17, 2007.
-
(2007)
EURASIP J. Adv. Signal Process
, vol.2007
, Issue.1
, pp. 1-17
-
-
Fischer, S.1
Redondo, R.2
Perrinet, L.3
Cristóbal, G.4
-
38
-
-
28644445613
-
Feature detection using spikes: The greedy approach
-
Jul
-
L. Perrinet, "Feature detection using spikes: The greedy approach," J. Physiol. (Paris), vol. 98, nos. 4-6, pp. 530-539, Jul. 2004.
-
(2004)
J. Physiol. (Paris)
, vol.98
, Issue.4-6
, pp. 530-539
-
-
Perrinet, L.1
-
39
-
-
36749005582
-
A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration
-
Dec
-
J. M. Bioucas-Dias and M. A. T. Figueiredo, "A new TwIST: Two-step iterative shrinkage/thresholding algorithms for image restoration," IEEE Trans. Image Process., vol. 16, no. 12, pp. 2992-3004, Dec. 2007.
-
(2007)
IEEE Trans. Image Process
, vol.16
, Issue.12
, pp. 2992-3004
-
-
Bioucas-Dias, J.M.1
Figueiredo, M.A.T.2
-
41
-
-
33646910241
-
Perspectives and results on the stability and stabilizability of hybrid systems
-
Jul
-
R. A. DeCarlo, M. S. Branicky, S. Pettersson, and B. Lennartson, "Perspectives and results on the stability and stabilizability of hybrid systems," Proc. IEEE, vol. 88, no. 7, pp. 1069-1082, Jul. 2000.
-
(2000)
Proc. IEEE
, vol.88
, Issue.7
, pp. 1069-1082
-
-
Decarlo, R.A.1
Branicky, M.S.2
Pettersson, S.3
Lennartson, B.4
-
43
-
-
2942640138
-
On sparse representations in arbitrary redundant bases
-
Jun
-
J.-J. Fuchs, "On sparse representations in arbitrary redundant bases," IEEE Trans. Inf. Theory, vol. 50, no. 6, pp. 1341-1344, Jun. 2004.
-
(2004)
IEEE Trans. Inf. Theory
, vol.50
, Issue.6
, pp. 1341-1344
-
-
Fuchs, J.-J.1
-
44
-
-
36249023228
-
The Łojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems
-
J. Bolte, A. Daniilidis, and A. Lewis, "The Łojasiewicz inequality for nonsmooth subanalytic functions with applications to subgradient dynamical systems," SIAM J. Optim., vol. 17, no. 4, pp. 1205-1223, 2007.
-
(2007)
SIAM J. Optim
, vol.17
, Issue.4
, pp. 1205-1223
-
-
Bolte, J.1
Daniilidis, A.2
Lewis, A.3
-
45
-
-
33745604236
-
Stable signal recovery from incomplete and inaccurate measurements
-
Aug
-
E. J. Candes, J. K. Romberg, and T. Tao, "Stable signal recovery from incomplete and inaccurate measurements," Commun. Pure Appl. Math., vol. 59, no. 8, pp. 1207-1223, Aug. 2006.
-
(2006)
Commun. Pure Appl. Math
, vol.59
, Issue.8
, pp. 1207-1223
-
-
Candes, E.J.1
Romberg, J.K.2
Tao, T.3
|