Signal processing with the sparseness constraint, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), pp.1861-1864, 1998. ,
DOI : 10.1109/ICASSP.1998.681826
Matching pursuits with time-frequency dictionaries, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.3397-3415, 1993. ,
DOI : 10.1109/78.258082
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.335.5769
On absolute convergence of orthogonal series, Dok. Akad. Nauk SSSR, vol.102, pp.37-40, 1955. ,
Some remarks on greedy algorithms, Advances in Computational Mathematics, vol.102, issue.1, pp.173-187, 1996. ,
DOI : 10.1007/BF02124742
Nonlinear Approximation with Dictionaries I. Direct Estimates, Journal of Fourier Analysis and Applications, vol.10, issue.1, 2003. ,
DOI : 10.1007/s00041-004-8003-5
URL : https://hal.archives-ouvertes.fr/inria-00567266
Convex/schur-convex (csc) log-priors and sparse coding, 6th Joint Symposium on Neural ComputationInstitute for Neural Computation), pp.65-71, 1999. ,
Optimally sparse representation in general (non-orthogonal) dictionaries via minimization, Proc. Nat. Aca. Sci. 100, pp.2197-2202, 2003. ,
Sparse decompositions in unions of bases, 2002. ,
Adaptive greedy approximations, Constructive Approximation, vol.21, issue.1, pp.57-98, 1997. ,
DOI : 10.1007/BF02678430
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.47.7530
Atomic Decomposition by Basis Pursuit, SIAM Journal on Scientific Computing, vol.20, issue.1, pp.33-61, 1999. ,
DOI : 10.1137/S1064827596304010
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.113.7694
Orthonormal matching pursuit : recursive function approximation with applications to wavelet decomposition, Proceedings of the Annual Asilomar Conf. on Signals, Systems and Computers, 1993. ,
Uncertainty principles and ideal atomic decomposition, IEEE Transactions on Information Theory, vol.47, issue.7, pp.2845-2862, 2001. ,
DOI : 10.1109/18.959265
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.161.9300
A generalized uncertainty principle and sparse representation in pairs of bases, IEEE Transactions on Information Theory, vol.48, issue.9, pp.2558-2567, 2002. ,
DOI : 10.1109/TIT.2002.801410
On sparse representation in pairs of bases, IEEE Transactions on Information Theory, vol.49, issue.6, 2002. ,
DOI : 10.1109/TIT.2003.811926
Une approchè a l'estimation et l'identification simultanées Actes duseizì eme colloque GRETSI, pp.1273-1276, 1997. ,
Detection and estimation of superimposed signals, Proceedings of the 1998 IEEE International Conference on Acoustics, Speech and Signal Processing, ICASSP '98 (Cat. No.98CH36181), pp.1649-1652, 1998. ,
DOI : 10.1109/ICASSP.1998.681771
On Sparse Representations in Arbitrary Redundant Bases, tech. rep., IRISA, 2002. ,
DOI : 10.1109/TIT.2004.828141
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.150.1728
Approximation of functions over redundant dictionaries using coherence, The 14th ACM-SIAM Symposium on Discrete Algorithms (SODA'03, 2003. ,
Greed is Good: Algorithmic Results for Sparse Approximation, tech. rep., Texas Institute for Computational Engineering and Sciences, 2003. ,
DOI : 10.1109/TIT.2004.834793
URL : http://authors.library.caltech.edu/9035/1/TROieeetit04a.pdf
Exponential convergence of Matching Pursuit in quasi-incoherent dictionaries, " tech. rep, 2003. ,
Improved sparse approximation over quasi-incoherent dictionaries, Int. Conf. on Image Proc. (ICIP'03), 2003. ,
Some remarks on nonlinear approximation with Schauder bases, East J. Approx, vol.7, issue.3, pp.267-285, 2001. ,
URL : https://hal.archives-ouvertes.fr/inria-00576640
A remark on greedy approximation in Banach spaces, East J. Approx, vol.5, issue.3, pp.365-379, 1999. ,
Nonlinear approximation, Acta numerica, pp.51-150, 1998. ,
DOI : 10.1007/BF02274662
On approximation with spline generated framelets, Constr. Approx, 2003. ,
URL : https://hal.archives-ouvertes.fr/inria-00567338
On the quasi-greedy property and uniformly bounded orthonormal systems, 2003. ,
URL : https://hal.archives-ouvertes.fr/inria-00576212
Minimum fuel neural networks and their applications to overcomplete signal representations, IEEE Transactions on Circuits and Systems I: Fundamental Theory and Applications, vol.47, issue.8, pp.1146-1159, 2000. ,
DOI : 10.1109/81.873870
Block coordinate relaxation methods for nonparametric wavelet denoising, Journal of Computational and Graphical Statistics, vol.9, issue.2, 2000. ,
Projection Pursuit Regression, Journal of the American Statistical Association, vol.4, issue.376, pp.817-823, 1981. ,
DOI : 10.1080/01621459.1981.10477729
Projection Pursuit, The Annals of Statistics, vol.13, issue.2, pp.435-475, 1985. ,
DOI : 10.1214/aos/1176349519
Weak greedy algorithms, Advances in Computational Mathematics, vol.122, pp.213-227, 2000. ,
On a Conjecture of Huber Concerning the Convergence of Projection Pursuit Regression, The Annals of Statistics, vol.15, issue.2, pp.880-882, 1987. ,
DOI : 10.1214/aos/1176350382
Two Lower Estimates in Greedy Approximation, Constructive Approximation, vol.19, issue.4, 2003. ,
DOI : 10.1007/s00365-003-0533-6
Nonlinear approximation with walsh atoms Surface Fitting and Multiresolution Methods, Proceedings of, pp.329-336, 1996. ,
DOI : 10.1007/s003659900046
Nonlinear Approximation with Dictionaries. II. Inverse Estimates, Constructive Approximation, vol.24, issue.2, 2002. ,
DOI : 10.1007/s00365-005-0621-x
URL : https://hal.archives-ouvertes.fr/inria-00564480
Walsh series and transforms, Theory and applications, Translated from the 1987 Russian original by, 1991. ,
-Kerdock Codes, Orthogonal Spreads, and Extremal Euclidean Line-Sets, Proc. London Math. Soc. (3), pp.436-480, 1997. ,
DOI : 10.1112/S0024611597000403
URL : https://hal.archives-ouvertes.fr/hal-00084952
Grassmannian frames with applications to coding and communication, Applied and Computational Harmonic Analysis, vol.14, issue.3, 2002. ,
DOI : 10.1016/S1063-5203(03)00023-X
Emergence of simple-cell receptive field properties by learning a sparse code for natural images, Nature, vol.381, pp.607-609, 1996. ,
The ???independent components??? of natural scenes are edge filters, Vision Research, vol.37, issue.23, pp.3327-3338, 1997. ,
DOI : 10.1016/S0042-6989(97)00121-1
Learning the higher-order structure of a natural sound, Network, vol.7, issue.2, 1996. ,
Efficient coding of natural sounds, Nature Neuroscience, vol.5, issue.4, pp.356-363, 2002. ,
DOI : 10.1038/nn831
If edges are the independent components of natural images, what are the independent components of natural sounds?, Proc. of the Int. Conf. on Indep. Component Anal. and Blind Signal Separation (ICA2001), pp.534-539, 2001. ,