Signal reconstruction from sub-sampled and nonlinearly distorted observations, pp.1970-1974, 2018. ,
URL : https://hal.archives-ouvertes.fr/hal-01957568
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
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
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
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
Regression shrinkage and selection via the lasso, J. R. Stat. Soc. Ser. B Stat. Methodol, vol.58, issue.1, pp.267-288, 1996. ,
Iterative thresholding for sparse approximations, J. Fourier Anal. Appl, vol.14, issue.5-6, pp.629-654, 2008. ,
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
Nonlinear system modelling and analysis from the Volterra and Wiener perspective, Lecture Notes in Control and Information Sciences, pp.13-24, 2010. ,
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
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. ,
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
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
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
, Fixed-Point Algorithms for Inverse Problems in Science and Engineering, pp.185-212, 2011.
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
Variable selection via nonconcave penalized likelihood and its oracle properties, J. Am. Stat. Assoc, vol.96, issue.456, pp.1348-1360, 2001. ,
On iteratively reweighted algorithms for nonsmooth nonconvex optimization in computer vision, SIAM J. Imaging Sci, vol.8, issue.1, pp.331-372, 2015. ,
Enhancing sparsity by reweighted 1 minimization, J. Fourier Anal. Appl, vol.14, issue.5-6, pp.877-905, 2008. ,
Coordinate descent algorithms for nonconvex penalized regression, with applications to biological feature selection, Ann. Appl. Stat, vol.5, issue.1, pp.232-253, 2011. ,
Random coordinate descent methods for 0 regularized convex optimization, IEEE Trans. Automat. Contr, vol.60, issue.7, pp.1811-1824, 2015. ,
Sparse regularization via convex analysis, IEEE Trans. Signal Process, vol.65, issue.17, pp.4481-4494, 2017. ,
Analysis of multi-stage convex relaxation for sparse regularization, J. Mach. Learn. Res, vol.11, pp.1081-1107, 2010. ,
Nearly unbiased variable selection under minimax concave penalty, Ann. Appl. Stat, vol.38, issue.2, pp.894-942, 2010. ,
Linearly constrained nonsmooth and nonconvex minimization, SIAM J. Optim, vol.23, issue.3, pp.1904-1937, 2013. ,
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
Global optimization with polynomials and the problem of moments, SIAM J. Optim, vol.11, issue.3, pp.796-817, 2001. ,
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
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
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.
Comparison of integration rules in the case of very narrow chromatographic peaks, Chemometr. Intell. Lab. Syst, vol.179, pp.22-30, 2018. ,
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
, Moments, Positive Polynomials and Their Applications, 2009.
Optimization on linear matrix inequalities for polynomial systems control, 2013. ,
URL : https://hal.archives-ouvertes.fr/hal-00860856
Optimality conditions and finite convergence of Lasserre's hierarchy, Math. Programm, vol.146, issue.1-2, pp.97-121, 2013. ,
Detecting global optimality and extracting solutions in GloptiPoly, Positive Polynomials in Control, vol.312, pp.293-310, 2005. ,
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. ,
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
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
SDPT3 -a Matlab software package for semidefinite programming, version 1.3, Optim, Methods Softw, vol.11, issue.1-4, pp.545-581, 1999. ,