A. Marmin, M. Castella, J. Pesquet, and L. Duval, Signal reconstruction from sub-sampled and nonlinearly distorted observations, pp.1970-1974, 2018.
URL : https://hal.archives-ouvertes.fr/hal-01957568

A. Marmin, M. Castella, and J. Pesquet, How to globally solve non-convex optimization problems involving an approximate 0 penalization, Proc. Int. Conf. Acoust. Speech Signal Process, pp.5601-5605, 2019.
URL : https://hal.archives-ouvertes.fr/hal-02196878

J. Gauthier, L. Duval, and J. Pesquet, Optimization of synthesis oversampled complex filter banks, IEEE Trans. Signal Process, vol.57, issue.10, pp.3827-3843, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00405293

M. Q. Pham, L. Duval, C. Chaux, and J. Pesquet, A primal-dual proximal algorithm for sparse template-based adaptive filtering: Application to seismic multiple removal, IEEE Trans. Signal Process, vol.62, issue.16, pp.4256-4269, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00914628

C. Chaux, P. L. Combettes, J. Pesquet, and V. R. Wajs, A variational formulation for frame-based inverse problems, Inverse Problems, vol.23, issue.4, pp.1495-1518, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00621883

R. Tibshirani, Regression shrinkage and selection via the lasso, J. R. Stat. Soc. Ser. B Stat. Methodol, vol.58, issue.1, pp.267-288, 1996.

T. Blumensath and M. E. Davies, Iterative thresholding for sparse approximations, J. Fourier Anal. Appl, vol.14, issue.5-6, pp.629-654, 2008.

E. Soubies, L. Blanc-féraud, and G. Aubert, A continuous exact 0 penalty (CEL0) for least squares regularized problem, SIAM J. Imaging Sci, vol.8, issue.3, pp.1607-1639, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01267679

M. Schetzen, Nonlinear system modelling and analysis from the Volterra and Wiener perspective, Lecture Notes in Control and Information Sciences, pp.13-24, 2010.

N. Dobigeon, J. Tourneret, C. Richard, J. C. Bermudez, S. Mclaughlin et al., Nonlinear unmixing of hyperspectral images: Models and algorithms, IEEE Signal Process. Mag, vol.31, issue.1, pp.82-94, 2014.
URL : https://hal.archives-ouvertes.fr/hal-00915663

Y. Deville and L. T. Duarte, An overview of blind source separation methods for linear-quadratic and post-nonlinear mixtures, in: Latent Variable Analysis and Signal Separation, pp.155-167, 2015.

M. Nikolova, Description of the minimizers of least squares regularized with 0 norm, SIAM J. Imaging Sci, vol.6, issue.2, pp.904-937, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00723812

S. Bourguignon, J. Ninin, H. Carfantan, and M. Mongeau, Exact sparse approximation problems via mixed-integer programming: Formulations and computational performance, IEEE Trans. Signal Process, vol.64, issue.6, pp.1405-1419, 2016.
URL : https://hal.archives-ouvertes.fr/hal-01254856

P. L. Combettes and J. Pesquet, Proximal thresholding algorithm for minimization over orthonormal bases, SIAM J. Optim, vol.18, issue.4, pp.1351-1376, 2008.
URL : https://hal.archives-ouvertes.fr/hal-00621819

P. L. Combettes and J. Pesquet, Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2011.

M. Castella and J. Pesquet, Optimization of a Geman-McClure like criterion for sparse signal deconvolution, Proc. IEEE Int. Workshop on Computational Advances in Multi-Sensor Adaptive Processing (CAMSAP), pp.309-312, 2015.
URL : https://hal.archives-ouvertes.fr/hal-01263352

J. Fan and R. Li, Variable selection via nonconcave penalized likelihood and its oracle properties, J. Am. Stat. Assoc, vol.96, issue.456, pp.1348-1360, 2001.

P. Ochs, A. Dosovitskiy, T. Brox, and T. Pock, On iteratively reweighted algorithms for nonsmooth nonconvex optimization in computer vision, SIAM J. Imaging Sci, vol.8, issue.1, pp.331-372, 2015.

E. J. Candès, M. B. Wakin, and S. P. Boyd, Enhancing sparsity by reweighted 1 minimization, J. Fourier Anal. Appl, vol.14, issue.5-6, pp.877-905, 2008.

P. Breheny and J. Huang, Coordinate descent algorithms for nonconvex penalized regression, with applications to biological feature selection, Ann. Appl. Stat, vol.5, issue.1, pp.232-253, 2011.

A. Patrascu and I. Necoara, Random coordinate descent methods for 0 regularized convex optimization, IEEE Trans. Automat. Contr, vol.60, issue.7, pp.1811-1824, 2015.

I. Selesnick, Sparse regularization via convex analysis, IEEE Trans. Signal Process, vol.65, issue.17, pp.4481-4494, 2017.

T. Zhang, Analysis of multi-stage convex relaxation for sparse regularization, J. Mach. Learn. Res, vol.11, pp.1081-1107, 2010.

C. Zhang, Nearly unbiased variable selection under minimax concave penalty, Ann. Appl. Stat, vol.38, issue.2, pp.894-942, 2010.

M. Artina, M. Fornasier, and F. Solombrino, Linearly constrained nonsmooth and nonconvex minimization, SIAM J. Optim, vol.23, issue.3, pp.1904-1937, 2013.

A. Jezierska, H. Talbot, O. Veksler, and D. Wesierski, A fast solver for truncated-convex priors: Quantized-convex split moves, Lecture Notes in Computer Science, pp.45-58, 2011.
URL : https://hal.archives-ouvertes.fr/hal-00839049

J. B. Lasserre, Global optimization with polynomials and the problem of moments, SIAM J. Optim, vol.11, issue.3, pp.796-817, 2001.

M. Castella, J. Pesquet, and A. Marmin, Rational optimization for nonlinear reconstruction with approximate 0 penalization, IEEE Trans. Signal Process, vol.67, issue.6, pp.1407-1417, 2019.
URL : https://hal.archives-ouvertes.fr/hal-01852289

C. Vendeuvre, R. Ruiz-guerrero, F. Bertoncini, L. Duval, D. Thiébaut et al., Characterisation of middle-distillates by comprehensive twodimensional gas chromatography (GC × GC): A powerful alternative for performing various standard analysis of middle-distillates, J. Chromatogr. A, vol.1086, issue.1-2, pp.21-28, 2005.
URL : https://hal.archives-ouvertes.fr/hal-01330596

C. Vendeuvre, R. Ruiz-guerrero, F. Bertoncini, L. Duval, and D. Thiébaut, Comprehensive two-dimensional gas chromatography for detailed characterisation of petroleum products, Oil Gas Sci. Tech, vol.62, issue.1, pp.43-55, 2007.
URL : https://hal.archives-ouvertes.fr/hal-00617264

, Data analysis and signal processing in chromatography, 1998.

Y. Kalambet, Y. Kozmin, and A. Samokhin, Comparison of integration rules in the case of very narrow chromatographic peaks, Chemometr. Intell. Lab. Syst, vol.179, pp.22-30, 2018.

E. Soubies, L. Blanc-féraud, and G. Aubert, A unified view of exact continuous penalties for 2 ? 0 minimization, SIAM J. Optim, vol.27, issue.3, pp.2034-2060, 2017.
URL : https://hal.archives-ouvertes.fr/hal-01267701

J. B. Lasserre, Moments, Positive Polynomials and Their Applications, 2009.

D. Henrion, Optimization on linear matrix inequalities for polynomial systems control, 2013.
URL : https://hal.archives-ouvertes.fr/hal-00860856

J. Nie, Optimality conditions and finite convergence of Lasserre's hierarchy, Math. Programm, vol.146, issue.1-2, pp.97-121, 2013.

D. Henrion and J. Lasserre, Detecting global optimality and extracting solutions in GloptiPoly, Positive Polynomials in Control, vol.312, pp.293-310, 2005.

H. Waki, S. Kim, M. Kojima, and M. Muramatsu, Sums of squares and semidefinite program relaxations for polynomial optimization problems with structured sparsity, SIAM J. Optim, vol.17, issue.1, pp.218-242, 2006.

F. Bugarin, D. Henrion, and J. B. Lasserre, Minimizing the sum of many rational functions, Math. Program. Comput, vol.8, issue.1, pp.83-111, 2015.
URL : https://hal.archives-ouvertes.fr/hal-00569067

D. Henrion, J. Lasserre, and J. Löfberg, GloptiPoly 3: moments, optimization and semidefinite programming, Optim. Methods Softw, vol.24, issue.4-5, pp.761-779, 2009.
URL : https://hal.archives-ouvertes.fr/hal-00172442

K. C. Toh, M. J. Todd, and R. H. Tütüncü, SDPT3 -a Matlab software package for semidefinite programming, version 1.3, Optim, Methods Softw, vol.11, issue.1-4, pp.545-581, 1999.