Convergence of descent methods for semi-algebraic and tame problems: proximal algorithms, forward???backward splitting, and regularized Gauss???Seidel methods, Mathematical Programming, vol.31, issue.1, 2013. ,
DOI : 10.1137/0331048
URL : https://hal.archives-ouvertes.fr/hal-00790042
Asymptotic Cones and Functions in Optimization and Variational Inequalities, 2003. ,
Sparse Optimization with Least-Squares Constraints, SIAM Journal on Optimization, vol.21, issue.4, pp.1201-1229, 2011. ,
DOI : 10.1137/100785028
Phase transitions for greedy sparse approximation algorithms, Applied and Computational Harmonic Analysis, vol.30, issue.2, pp.188-203, 2011. ,
DOI : 10.1016/j.acha.2010.07.001
URL : http://doi.org/10.1016/j.acha.2010.07.001
Iterative Thresholding for Sparse Approximations, Journal of Fourier Analysis and Applications, vol.73, issue.10, pp.629-654, 2008. ,
DOI : 10.1017/CBO9780511810817
From sparse solutions of systems of equations to sparse modeling of signals and images, SIAM Rev, pp.51-85, 2009. ,
A New and Improved Quantitative Recovery Analysis for Iterative Hard Thresholding Algorithms in Compressed Sensing, IEEE Transactions on Information Theory, vol.61, issue.4, pp.61-2019, 2015. ,
DOI : 10.1109/TIT.2015.2399919
Compressed sensing and best $k$-term approximation, Journal of the American Mathematical Society, vol.22, issue.1, pp.211-231, 2009. ,
DOI : 10.1090/S0894-0347-08-00610-3
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.148.5477
Nonlinear approximation, Acta Numerica, vol.41, issue.2, 1998. ,
DOI : 10.1007/BF02274662
An Efficient Algorithm for ??? 0 Minimization in Wavelet Frame Based Image Restoration, Journal of Scientific Computing, vol.86, issue.2, p.54, 2013. ,
DOI : 10.1007/s101070050090
Compressed sensing, IEEE Transactions on Information Theory, vol.52, issue.4, pp.1289-1306, 2006. ,
DOI : 10.1109/TIT.2006.871582
URL : https://hal.archives-ouvertes.fr/inria-00369486
Compressed Sensing: Theory and Applications, 2012. ,
DOI : 10.1017/CBO9780511794308
Statistical challenges with high dimensionality: feature selection in knowledge discovery, Proc. Intern. Congr. Math, pp.595-622, 2006. ,
DOI : 10.4171/022-3/31
Iterative thresholding meets free-discontinuity problems, Found, Comput. Math, vol.10, pp.527-567, 2010. ,
DOI : 10.1007/s10208-010-9071-3
URL : http://arxiv.org/abs/0901.2605
Stochastic relaxation, Gibbs distributions, and the Bayesian restoration of images, IEEE Trans. Pattern Anal. Mach. Intell., PAMI, pp.6-721, 1984. ,
Signal Reconstruction From Noisy Random Projections, IEEE Transactions on Information Theory, vol.52, issue.9, pp.4036-4048, 2006. ,
DOI : 10.1109/TIT.2006.880031
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.101.4085
Penalties, Journal of Computational and Graphical Statistics, vol.16, issue.4, pp.782-798, 2007. ,
DOI : 10.1198/106186007X255676
Optimization by Vector Space Methods, 1969. ,
A unified approach to model selection and sparse recovery using regularized least squares, The Annals of Statistics, p.37, 2009. ,
Optimally Tuned Iterative Reconstruction Algorithms for Compressed Sensing, IEEE Journal of Selected Topics in Signal Processing, vol.4, issue.2, pp.330-341, 2010. ,
DOI : 10.1109/JSTSP.2009.2039176
URL : http://arxiv.org/abs/0909.0777
Survey of multi-objective optimization methods for engineering, Struct; Multidisc; Optim, pp.369-395, 2004. ,
Generalized inverses and ranks of block matrices, SIAM J. Appl. Math, vol.25, pp.597-602, 1973. ,
Subset Selection in Regression, 2002. ,
CoSaMP, Communications of the ACM, vol.53, issue.12, pp.301-321, 2009. ,
DOI : 10.1145/1859204.1859229
Combined SVM-Based Feature Selection and Classification, Machine Learning, vol.15, issue.1, pp.129-150, 2005. ,
DOI : 10.1515/9781400873173
URL : http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.568.9948
Description of the Minimizers of Least Squares Regularized with $\ell_0$-norm. Uniqueness of the Global Minimizer, SIAM Journal on Imaging Sciences, vol.6, issue.2, pp.904-937, 2013. ,
DOI : 10.1137/11085476X
A Stochastic Continuation Approach to Piecewise Constant Reconstruction, IEEE Transactions on Image Processing, vol.16, issue.10, pp.2576-2589, 2007. ,
DOI : 10.1109/TIP.2007.904975
URL : https://hal.archives-ouvertes.fr/hal-00443442
Optimization by Stochastic Continuation, SIAM Journal on Imaging Sciences, vol.3, issue.4, pp.1096-1121, 2010. ,
DOI : 10.1137/090756181
From simulated annealing to stochastic continuation: a new trend in combinatorial optimization, Journal of Global Optimization, vol.104, issue.3, pp.185-215, 2013. ,
DOI : 10.1023/A:1004697811243
URL : https://hal.archives-ouvertes.fr/hal-00850581
A Continuous Exact $\ell_0$ Penalty (CEL0) for Least Squares Regularized Problem, SIAM Journal on Imaging Sciences, vol.8, issue.3, pp.1607-1639, 2015. ,
DOI : 10.1137/151003714
Just relax: convex programming methods for identifying sparse signals in noise, IEEE Transactions on Information Theory, vol.52, issue.3, pp.1030-1051, 2006. ,
DOI : 10.1109/TIT.2005.864420
URL : http://authors.library.caltech.edu/9040/1/TROieeetit06.pdf
Computational methods for sparse solution of linear inverse problems, Proc. IEEE, pp.98-948, 2010. ,