Atomic Decomposition by Basis Pursuit, SIAM Journal on Scientific Computing, vol.20, issue.1, pp.33-61, 1999. ,
DOI : 10.1137/S1064827596304010
An Introduction to Frames and Riesz Bases, 2003. ,
Adaptive greedy approximations, Constructive Approximation, vol.21, issue.1, pp.57-98, 1997. ,
DOI : 10.1007/BF02678430
Some remarks on greedy algorithms, Advances in Computational Mathematics, vol.102, issue.1, pp.3-173, 1996. ,
DOI : 10.1007/BF02124742
Stable recovery of sparse overcomplete representations in the presence of noise, IEEE Transactions on Information Theory, vol.52, issue.1, p.6, 2004. ,
DOI : 10.1109/TIT.2005.860430
Optimally sparse representation in general (nonorthogonal) dictionaries via ??1 minimization, Proc. Nat. Acad ,
DOI : 10.1073/pnas.0437847100
Uncertainty principles and ideal atomic decomposition, IEEE Transactions on Information Theory, vol.47, issue.7, pp.2845-2862, 2001. ,
DOI : 10.1109/18.959265
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, pp.1579-1581, 2003. ,
DOI : 10.1109/TIT.2003.811926
Projection Pursuit Regression, Journal of the American Statistical Association, vol.4, issue.376, pp.817-823, 1981. ,
DOI : 10.1080/01621459.1981.10477729
Recovery of exact sparse representations in the presence of noise, Proc. 2004 IEEE Int. Conf. Acoustics, Speech, and Signal Processing, pp.533-536, 2005. ,
Approximation of functions over redundant dictionaries using coherence, Proc. 14th ACM-SIAM Symp. Discrete Algorithms (SODA'03), pp.243-252, 2003. ,
Improved sparse approximation over quasi-incoherent dictionaries, Proc. Int. Conf. Image Processing (ICIP'03), pp.37-40, 2003. ,
Harmonic decomposition of audio signals with matching pursuit, IEEE Transactions on Signal Processing, vol.51, issue.1, pp.101-111, 2003. ,
DOI : 10.1109/TSP.2002.806592
URL : https://hal.archives-ouvertes.fr/inria-00576203
Analysis of sound signals with high resolution matching pursuit, Proceedings of Third International Symposium on Time-Frequency and Time-Scale Analysis (TFTS-96), pp.125-128, 1996. ,
DOI : 10.1109/TFSA.1996.546702
URL : https://hal.archives-ouvertes.fr/inria-00576196
A Simple Test to Check the Optimality of Sparse Signal Approximations, IRISA, 2004. ,
URL : https://hal.archives-ouvertes.fr/inria-00564503
Beyond sparsity: Recovering structured representations by l1-minimization and greedy algorithms.-application to the analysis of sparse underdetermined ICA Highly Sparse Representations from Dictionaries Are Unique and Independent of the Sparseness Measure, Sparse decompositions in unions of bases, pp.3320-3325, 2003. ,
Matrix Analysis, 1985. ,
Projection Pursuit, The Annals of Statistics, vol.13, issue.2, pp.435-475, 1985. ,
DOI : 10.1214/aos/1176349519
High Resolution Pursuit for Feature Extraction, Applied and Computational Harmonic Analysis, vol.5, issue.4, pp.428-449, 1998. ,
DOI : 10.1006/acha.1997.0239
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
Matching pursuits with time-frequency dictionaries, IEEE Transactions on Signal Processing, vol.41, issue.12, pp.3397-3415, 1993. ,
DOI : 10.1109/78.258082
Greedy algorithms and m-term approximation with regard to redundant dictionaries Weak greedy algorithms, J. Approx. Theory Adv. Comput. Math, vol.9827, issue.12 2 3, pp.117-145, 1999. ,
Greed is Good: Algorithmic Results for Sparse Approximation, IEEE Transactions on Information Theory, vol.50, issue.10, pp.2231-2242, 2004. ,
DOI : 10.1109/TIT.2004.834793
Nonlinear approximation with walsh atoms Surface Fitting and Multiresolution Methods, Proc, pp.329-336, 1996. ,