• Can nuclear norm penalization enhance Prony's method ? (with Basad Al Sarray, Paul Clarkson and Guillaume Cottez), submitted. PDF
  • On the subdifferential of symmetric convex functions of the spectrum for symmetric and orthogonally decomposable tensors, (with Tianwen Wei), submitted. ArXiv
  • A Semi-Definite Programming approach to low dimensional embedding for unsupervised clustering, (with Clement Dombry and Adrien Faivre), submitted. ArXiv. 
  • Small coherence implies the weak Null Space Property, (With Olivier Ho), submitted. ArXiv.
  • Simulation based estimation of branching models for LTR retrotransposons, (with S. Moulin, N. Seux, C. Guyeux and E. Lerat), Bioinformatics, accepted for publication. pdf.
  • Estimating features with missing values and outliers: a Bregman-proximal point algorithm for robust Non-negative Matrix Factorization with application to gene expression analysis, (with C. Guyeux, B. Conesa, R. Delage-Mourroux, M. Jouvenot, P. Huetz and F. Descotes), BMC Bioinformatics, to appear. ArXiv.
  • Controllability of complex networks using perturbation theory of singular values, (with S. Darses). ArXiv.
  • On the restricted invertibility problem with an additional orthogonality constraint for random matrices, submitted. ArXiv
  • An elementary approach to the problem of column selection in a rectangular matrix, (with S. Darses), submitted. ArXiv
  • Joint estimation and model order selection for one dimensional ARMA models via convex optimization: a nuclear norm penalization approach, (with T. Wei and B. AlSarray), submitted. ArXiv.
  • Dendrochemical assessment of mercury releases from a pond and dredged-sediment landfill impacted by a chlor-alkali plant, (with Maillard François, Olivier  Girardclos, Mohamad Assad, Cyril Zappelini, Julia Maria Pérez Mena, Loïc Yung, Christophe Guyeux, Stéphane Chrétien; Gary Bigham, Claudia Cosio), Environmental Research, Volume 148, (2016), Pages 122-126.
  • Sensing tensors with Gaussian filters, (with T. Wei), in revision. ArXiv.
  • A lower bound on the expected optimal value of certain random linear programs and application to shortest paths and reliability, (with F. Corset), Statistics and Probability Letters, to appear. ArXiv.
  • Von Neumann's trace inequality for tensors, (with T. Wei), Linear Algebra and its ApplicationsVolume 482, 1 (2015), Pages 149-157. ArXiv
  • Using the LASSO in bladder cancer data, (with C. Guyeux, R. Delage-Mourroux, M. Boyer-Guittaut and F. Descotes), submitted. ArXiv.
  • Systematic investigations of gene effects on both topologies and supports: the Echinococcus case (with Nathalie M.-L. Côté, Christophe Guyeux and Jacques M. Bahi, submitted
  • Perturbation bounds on the extremal singular values of a matrix after appending a column, (with S. Darses), submitted. ArXiv.  
  • On the spacings between the successive zeros of the Laguerre polynomials, (with S. Darses), Proceedings of the AMS143 (2015), 4383-4388. ArXiv.
  • Gene-expression signature functional annotation of breast cancer tumours in function of age, (with P. Jezequel, Z. Sharif, H. Lasla, W. Gouraud, C. Guerin-Charbonnel, L. Campion and M. Campone), BMC Medical Genomics, 8:80 (2015).
  • A mixture model for design matrices in the LASSO: weakening incoherence conditions, in revision. ArXiv.
  • Estimation of Gaussian mixtures in small sample studies using $l_1$ penalization, Annales de l’I.S.U.P., Volume 53, Issue: 3, (2015), pp. 23 - 36ArXiv
  • Job scheduling using successive linear programming approximations of a sparse model, (with J.-M. Nicod, L. Philippe, V. Rehn-Sonig and L. Toch), Concurrency and Computation: Practice and Experience. to appear. Conference version: Euro-Par 2012 Parallel Processing, LNCS 7484, (2012) 116-127.
  • On prediction with the LASSO when the design is not incoherent. ArXiv, submitted.
  • Multivariate GARCH estimation via a Bregman-proximal trust-region method (with Juan-Pablo Ortega). ArXivComputational Statistics and Data Analysis, Volume 76, August 2014, Pages 210-236..
  • Sparse recovery with unknown variance: a LASSO-type approach (with Sebastien Darses). IEEE Trans. Information Theory, Volume:60 ,  Issue: 7, july 2014, pp. 3970 - 3988ArXiv. Matlab files: Strategy (A) and Strategy (B)
  • High-overtone Bulk Acoustic Resonator as passive Ground Penetrating RADAR cooperative targets, (with J.-M Friedt, A. Saintenoy, T. Baron, E. Lebrasseur, T. Laroche, S. Ballandras, M. Griselin) Journal of Applied Physics113, 134904 (2013).
  • Invertibility of random submatrices via tail decoupling and a Matrix Chernoff Inequality  (with Sebastien Darses). Statistics and Probability Letters, 82 (2012), no. 7, 1479-1487, ArXiv.
  • On the generic uniform uniqueness of the LASSO estimator. (with Sebastien Darses). ArXiv
  • EM type algorithms for likelihood optimization with non-differentiable penalties. Ann. Inst. Stat. Math. 64 (2012), no. 4, 791-809 (with Alfred O. Hero and Herve Perdry), ArXiv
  • An alternating $\ell_1$ relaxation for compressed sensing. IEEE Signal Processing Letters 17 (2010) no.2, 181-184. Arxiv, link  (the scilab and python codes are here)
  • Mixtures of GAMs for habitat suitability analysis with overdispersed presence / absence data. Computational Statistics and Data Analysis 54 (2010), no. 5, 1405-1418 (with David Pleydell) PDF     
  • Using eigenvalue optimization for binary least squares estimation problems.  Signal Processing 89  (2009) no. 11, 2079-2091. (with Franck CorsetArXiv
  • On EM algorithms and their proximal generalizations. ESAIM: PS 12 (2008) 308-326. (with Alfred O. HeroPDF
  • Physique Statistique et Optimisation Combinatoire. Reperes IREM 61 (2005), 91--103. PDF
  • Degeneracy in the maximum likelihood estimation of univariate Gaussian mixtures with EM. Statist. Probab. Lett. 61 (2003), no. 4, 373--382. (with Christophe Biernacki PS    
  • A component-wise EM algorithm for mixtures. J. Comput. Graph. Statist. 10 (2001), no. 4, 697--712. (with Gilles Celeux , Florence Forbes and Abdallah Mkhadri ) PS 
  • Kullback proximal algorithms for maximum-likelihood estimation. Information-theoretic imaging. IEEE Trans. Inform. Theory 46 (2000), no. 5, 1800--1810. (with Alfred Hero) PS
  • Cyclic projection methods on a class of nonconvex sets. Numer. Funct. Anal. Optim. 17 (1996), no. 1-2, 37--56. (with Pascal Bondon
  • Projection methods for non-convex set-theoretic optimization, PhD Thesis Université Paris XI Orsay. 

In preparation

  • (with Pascal Bondon) Finding a projection onto the intersection of nonconvex sets.
  • A note on Semi-Definite Relaxations of the Decoding Problem in Compressed Sensing

                                               Lecture notes