Publications

[HAL list]

Regular papers


  1. Y. Marnissi, Y. Zheng, E. Chouzenoux and J.-C. Pesquet. A Variational Bayesian Approach for Image Restoration. Application to Image Deblurring with Poisson-Gaussian Noise. To appear in IEEE Transactions on Image Computing, 2017. [Article]
  2. E. Chouzenoux and J.-C. Pesquet. A Stochastic Majorize-Minimize Subspace Algorithm for Online Penalized Least Squares Estimation. IEEE Transactions on Signal Processing, Vol. 65, No. 18, pages 4770-4783, 2017. [Article]
  3. F. Abboud, E. Chouzenoux, J.-C. Pesquet, J.-H. Chenot and L. Laborelli. Dual Block Coordinate Forward-Backward Algorithm with Application to Deconvolution and Deinterlacing of Video Sequences. To appear in Journal of Mathematical Imaging and Vision, 2016. [Article]
  4. A. Cherni, E. Chouzenoux and M.-A. Delsuc. PALMA, an Improved Algorithm for DOSY Signal Processing. Analyst, Vol. 142, No. 5, pages 772-779, 2016. [Code] [Article][Supplementary material]
  5. E. Chouzenoux and J.-C. Pesquet. Convergence Rate Analysis of the Majorize-Minimize Subspace Algorithm. IEEE Signal Processing Letters, Vol. 23, No. 9, pages 1284-1288, September 2016. [Article]
  6. E. Chouzenoux, J.-C. Pesquet and A. Repetti. A Block Coordinate Variable Metric Forward-Backward Algorithm. Journal of Global Optimization, Vol. 66, No. 3, pages 457–485, 2016. [Article]
  7. M. Pereyra, P. Schniter, E. Chouzenoux, J.-C. Pesquet, J.-Y. Tourneret, A. Hero and S. McLaughlin A Survey of Stochastic Simulation and Optimization Methods in Signal Processing. IEEE Journal of Selected Topics in Signal Processing, Vol. 10, No. 2, pages 224-241, March 2016. [Article]
  8. A. Jezierska, E. Chouzenoux, J.-C. Pesquet and H. Talbot. A Convex Approach for Image Restoration with Exact Poisson-Gaussian Likelihood . SIAM Journal on Imaging Science, Vol. 8, No. 4, pages 2662-2682, 2015. [Article] [Software]
  9. A. Repetti, M. Q. Pham, L. Duval, E. Chouzenoux and J.-C. Pesquet. Euclid in a Taxicab: Sparse Blind Deconvolution with Smoothed l1/l2 Regularization. IEEE Signal Processing Letters, Vol. 22, No. 5, pages 539-543, May 2015. [Article] [Software]
  10. E. Chouzenoux, J.-C. Pesquet and A. Repetti. Variable Metric Forward-Backward Algorithm for Minimizing the Sum of a Differentiable Function and a Convex Function. Journal of Optimization Theory and Applications, Vol. 162, No. 1, pages 107-132, Jul. 2014. [Article] [Software]
  11. A. Florescu, E. Chouzenoux, J.-C. Pesquet, P. Ciuciu and S. Ciochina. A Majorize-Minimize Memory Gradient Method for Complex-Valued Inverse Problems. Signal Processing, Vol. 103, pages 285-295, 2014. Awarded by the Romanian Executive Agency for Higher Education, Research Development and Innovation. [Article] [Software]
  12. E. Chouzenoux, M. Legendre, S. Moussaoui and J. Idier. Fast Constrained Least Squares Spectral Unmixing using Primal-Dual Interior Point Optimization. IEEE Journal of Selected Topics in Applied Earth Observations and Remote Sensing, Vol. 7, No. 1, pages 59-69, Jan. 2014. [Article] [Software]
  13. E. Chouzenoux, S. Moussaoui, M. Legendre and J. Idier. Algorithme primal-dual de points intérieurs pour l’estimation pénalisée des cartes d’abondances en imagerie hyperspectrale. Traitement du Signal, Vol. 30, No. 1-2, pages 35-59, 2013. [Article]
  14. E. Chouzenoux, A. Jezierska, J.-C. Pesquet and H. Talbot. A Majorize-Minimize Subspace Approach for l2-l0 Image Regularization. SIAM Journal on Imaging Science, Vol. 6, No. 1, pages 563-591, 2013. [Article] [Software]
  15. E. Chouzenoux, S. Moussaoui and J. Idier. Majorize-Minimize Linesearch for Inversion Methods Involving Barrier Function Optimization. Inverse Problems, Vol. 28, No. 6, 2012. [Article] [Software]
  16. L. Chaari, E. Chouzenoux, N. Pustelnik, C. Chaux and S. Moussaoui. OPTIMED : optimisation itérative pour la résolution de problèmes inverses de grande taille. Traitement du Signal, Vol. 28, No. 3-4, pages 329-374, 2011. [Article]
  17. E. Chouzenoux, J. Idier and S. Moussaoui. A Majorize-Minimize Strategy for Subspace Optimization Applied to Image Restoration. IEEE Transactions on Image Processing, Vol. 20, No. 18, pages 1517-1528, June 2011. [Article] [Software]
  18. E. Chouzenoux, S. Moussaoui, J. Idier and F. Mariette. Efficient Maximum Entropy Reconstruction of Nuclear Magnetic Resonance T1-T2 Spectra. IEEE Transactions on Signal Processing, Vol. 58, No. 12, pages 6040-6051, December 2010. [Article]

Invited conference papers


  1. G. Chierchia, A. Cherni, E. Chouzenoux, J.-C. Pesquet.  Approche de Douglas-Rachford aléatoire par blocs appliquée à la régression logistique parcimonieuse. In Actes du 26e colloque GRETSI (GRETSI 2017), Juan-les-Pins, 5-8 september 2017. [Article]
  2. A. Benfenati, E. Chouzenoux and J.-C. Pesquet.  A Proximal Approach for Solving Matrix Optimization Problems Involving a Bregman Divergence. In Proceedings of the International Biomedical and Astronomical Signal Processing Frontiers workshop (BASP 2017), Villars-sur-Ollon, Suisse, 29 january - 3 february 2017. [Article]
  3. S. Cadoni, E. Chouzenoux, J.-C. Pesquet and C. Chaux. A Block Parallel Majorize-Minimize Memory Gradient Algorithm. In Proceedings of the International Biomedical and Astronomical Signal Processing Frontiers workshop (BASP 2017), Villars-sur-Ollon, Suisse, 29 january - 3 february 2017. [Article]
  4. F. Abboud, E. Chouzenoux, J.-C. Pesquet, J.-H. Chenot and L. Laborelli. A Distributed Strategy for Computing Proximity Operators. In Proceedings of 50th Asilomar Conference on Signals, Systems, and Computers (ASILOMAR 2015), pages 396-400, Asilomar, Pacific Grove, CA, 8-11 november 2015. [Article]
  5. A. Repetti, E. Chouzenoux and J.-C. Pesquet. Un petit tutoriel sur les méthodes primales-duales proximales pour l'optimisation convexe. In Actes du 25e colloque GRETSI (GRETSI 2015), Lyon, France, 8-11 september 2015. [Article] [Slides].
  6. A. Repetti, E. Chouzenoux and J.-C. Pesquet. A parallel block-coordinate approach for primal-dual splitting with arbitrary random block selection. In Proceedings of the 23rd European Signal Processing Conference (EUSIPCO 2015), pages 235-239, Nice, France, 1-5 september 2015. [Article] [Slides].
  7. A. Repetti, E. Chouzenoux and J.-C. Pesquet. Proximal Primal-Dual Optimization Methods. In Proceedings of the International Biomedical and Astronomical Signal Processing Frontiers workshop (BASP 2014), page 25, Villars-sur-Ollon, Suisse, 25-30 january 2015.
  8. M. Legendre, S. Moussaoui, E. Chouzenoux and J. Idier. Primal-Dual Interior-Point Optimization Based on Majorization-Minimization for Edge Preserving Spectral Unmixing. In Proceedings of the 21st IEEE International Conference on Image Processing (ICIP 2014), pages 4161-4165, Paris, France, 27-30 october 2014. [Article]
  9. E. Chouzenoux, J.-C. Pesquet and A. Florescu. A Stochastic 3MG Algorithm with Application to 2D Filter Identification. In Proceedings of the 22nd European Signal Processing Conference (EUSIPCO 2014), pages 1587-1591, Lisbon, Portugal, 1-5 september 2014. [Article]
  10. E. Chouzenoux, J.-C. Pesquet and A. Florescu. A Multi-Parameter Optimization Approach for Complex Continuous Sparse Modelling. In Proceedings of the 19th International Conference on Digital Signal Processing (DSP 2014), Hong-Kong, China, 20-23 August 2014. [Article]
  11. A. Florescu, E. Chouzenoux, J.-C. Pesquet, P. Ciuciu and S. Ciochina. Cramer-Rao Bound for a Sparse Complex Model. In Proceedings of the 10th International Conference on Communications (COMM 2014), 4 p., Bucharest, Romania, 29-31 May 2014. [Article]
  12. A. Repetti, E. Chouzenoux and J.-C. Pesquet A Preconditioned Forward-Backward Approach with Application to Large-Scale Nonconvex Spectral Unmixing Problems. In Proceedings of the 39th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2014), pages 1498-1502, Firenze, Italy, 4-9 May 2014. [Article] [Slides]
  13. E. Chouzenoux, S. Moussaoui, J. Idier and F. Mariette. Primal-Dual Interior Point Optimization for a Regularized Reconstruction of NMR Relaxation Time Distributions. In Proceedings of the 38th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2013), pages 8747-8750, Vancouver, Canada, 26-31 March 2013. [Article] [Slides]
  14. E. Chouzenoux, S. Moussaoui and J. Idier. A Majorize-Minimize Line Search Algorithm for Barrier Function Optimization. In Proceedings of the 17th European Signal Processing Conference (EUSIPCO 2009), pages 1379-1383, Glasgow, UK, 24-28 August 2009. EURASIP Press. [Article] [Slides]

Conference papers


  1. V. Dudar, G. Chierchia, E. Chouzenoux, J.-C. Pesquet, V. Semenov. A Two-Stage Subspace Trust Region Approach for Deep Neural Network Training. In Proceedings of the 25th European Signal Processing Conference (EUSIPCO 2017), Kos Island, Greece, 28 August - 2 September 2017. [Article]
  2. A. Cherni, E. Chouzenoux and M.-A. Delsuc. Proximity Operators for a Class of Hybrid Sparsity+Entropy Priors. Application to DOSY NMR Signal Reconstruction. In Proceedings of the International Symposium on Signal, Image, Video and Communications (ISIVC 2016), Tunis, Tunisie, 21-23 november 2016 [Article].
  3. S. Cadoni, E. Chouzenoux, J.-C. Pesquet and C. Chaux. A Block Parallel Majorize-Minimize Memory Gradient Algorithm. In Proceedings of the 23rd IEEE International Conference on Image Processing (ICIP 2016), pages 3194-3198, Phoenix, Arizona, 25-28 september 2016. [Article]
  4. Y. Marnissi, E. Chouzenoux, J.-C. Pesquet and A. Benazza-Benyahia.  An Auxiliary Variable Method for Langevin based MCMC algorithms. In Proceedings of the IEEE Workshop on Statistical Signal Processing (SSP 2016), pages 297-301, Palma de Mallorca, Espagne, 26-29 june 2016. [Article]
  5. F. Abboud, E. Chouzenoux, J.-C. Pesquet, J.-H. Chenot and L. Laborelli.  A Dual Block Coordinate Proximal Algorithm with Application to Deconvolution of Interlaced Video Sequences. In Proceedings of the 22nd IEEE International Conference on Image Processing (ICIP 2015), pages 4917-4921, Quebec City, Canada, 27-30 September 2015. [Article]
  6. Y. Marnissi, E. Chouzenoux, A. Benazza-Benyahia, J.-C. Pesquet and L. Duval.  Reconstruction de signaux parcimonieux à l'aide d'un algorithme rapide d'échantillonnage stochastique. In Actes du 25e colloque GRETSI (GRETSI 2015), Lyon, France, 8-11 September 2015. [Article]
  7. E. Chouzenoux, L. Lamassé, S. Anthoine, C. Chaux, A. Jaouen, I. Vanzetta and F. Debarbieux.  Approche variationnelle pour la déconvolution rapide de données 3D en microscopie biphotonique. In Actes du 25e colloque GRETSI (GRETSI 2015), Lyon, France, 8-11 September 2015. [Article]
  8. A. Repetti, E. Chouzenoux and J.-C. Pesquet. A Random Block-Coordinate Primal-Dual Proximal Algorithm with Application to 3D Mesh Denoising. In Proceedings of the 40th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2015), pages 3561-3565, Brisbane, Australia, 19-24 April 2015.
  9. A. Repetti, E. Chouzenoux and J.-C. Pesquet. A Nonconvex Regularized Approach for Phase Retrieval. In Proceedings of the 21st IEEE International Conference on Image Processing (ICIP 2014), pages 1753-1757, Paris, France, 27-30 October 2014. [Article]
  10. F. Abboud, E. Chouzenoux, J.-C. Pesquet, J.-H. Chenot and L. Laborelli. A Hybrid Alternating Proximal Method for Blind Video Restoration. In Proceedings of the 22nd European Signal Processing Conference (EUSIPCO 2014), pages 1811-1815, Lisbon, Portugal, 1-5 september 2014. [Article]
  11. Y. Marnissi, A. Benazza-Benyahia, E. Chouzenoux and J.-C. Pesquet. Majorize-Minimize Adapted Metropolis Hastings Algorithm. Application to Multichannel Image Recovery. In Proceedings of the 22nd European Signal Processing Conference (EUSIPCO 2014), pages 1332-1336, Lisbon, Portugal, 1-5 september 2014. [Article]
  12. A. Florescu, E. Chouzenoux, J.-C. Pesquet, P. Ciuciu and S. Ciochina.  A Complex-Valued Majorize-Minimize Memory Gradient Method with Application to Parallel MRI. In Proceedings of the 21st European Signal Processing Conference (EUSIPCO 2013), pages 1-5, Marrakech, Maroc, 9-13 September 2013. [Article]
  13. A. Repetti, E. Chouzenoux and J.-C. Pesquet. Reconstruction d'image en présence de bruit gaussien dépendant par un algorithme Explicite-Implicite à métrique variable. In Actes du 24e colloque GRETSI, Brest, France, 3-6 September 2013. [Abstract] [Article]
  14. A. Florescu, E. Chouzenoux, J.-C. Pesquet and S. Ciochina. Estimation d'un signal complexe à partir d'un modèle parcimonieux perturbé. In Actes du 24e colloque GRETSI, Brest, France, 3-6 September 2013. [Abstract] [Article]
  15. E. Chouzenoux, F. Zolyniak, E. Gouillart and H. Talbot. A Majorize-Minimize Memory Gradient Algorithm Applied to X-Ray Tomography. In Proceedings of the 20th IEEE International Conference on Image Processing (ICIP 2013), pages 1011-1015, Melbourne, Australia, 15-18 September 2013. [Article]
  16. Y. Marnissi, A. Benazza-Benyahia, E. Chouzenoux and J.-C. Pesquet. Generalized Multivariate Exponential Power Prior for Wavelet-Based Multichannel Image Restoration. In Proceedings of the 20th IEEE International Conference on Image Processing (ICIP 2013), pages 2402-2406, Melbourne, Australia, 15-18 September 2013. [Article]
  17. A. Florescu, E. Chouzenoux, J.-C. Pesquet and S. Ciochina. A Constrained Optimization Approach for Complex Sparse Perturbed Models. In Proceedings of the Signal Processing with Adaptive Sparse Structured Representations (SPARS 2013), Lausanne, Switzerland, 8-11 July 2013. [Article]
  18. E. Chouzenoux, F. Zolyniak, E. Gouillart and H. Talbot. A Majorize-Minimize Memory Gradient Algorithm Applied to X-Ray Tomography. Accepted to ICTMS 2013.
  19. A. Repetti, E. Chouzenoux and J.-C. Pesquet. A Penalized Weighted Least Squares Approach for Restoring Data Corrupted with Signal-Dependent Noise. In Proceedings of the 20th European Signal Processing Conference (EUSIPCO 2012), pages 1553-1557, Bucarest, Roumanie, 27-31 August 2012. [Article] [Poster]
  20. S. Moussaoui, E. Chouzenoux and J. Idier. Primal-Dual Interior Point Optimization for Penalized Least Squares Estimation of Abundance Maps in Hyperspectral Imaging. In Proceedings of the 4th Workshop on Hyperspectral Image and Signal Processing: Evolution in Remote Sensing (WHISPERS 2012), Shangai, Chine, 4-7 June 2012. Best Paper Award. [Article] [Slides]
  21. A. Jezierska, E. Chouzenoux, J.-C. Pesquet and H. Talbot. A Primal-Dual Proximal Splitting Approach for Restoring Data Corrupted with Poisson-Gaussian Noise. In Proceedings of the 37th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2012), Kyoto, Japon, 25-30 March 2012.  [Article] [Poster]
  22. E. Chouzenoux, S. Moussaoui and J. Idier. Efficiency of Line Search Strategies in Interior Point Methods for Linearly Constrained Optimization. In Proceedings of the IEEE Workshop on Statistical Signal Processing (SSP 2011), pages 101-104, Nice, France, 28-30 June 2011.  [Article] [Poster]
  23. E. Chouzenoux, J.-C. Pesquet, H. Talbot and A. Jezierska. A Memory Gradient Algorithm for l2-l0 Regularization with Applications to Image Restoration. In Proceedings of the 18th IEEE International Conference on Image Processing (ICIP 2011), pages 2717-2720, Bruxelles, Belgique, 11-14 September 2011.  [Article] [Poster]
  24. E. Chouzenoux, S. Moussaoui and J. Idier. Algorithme primal-dual de points intérieurs pour l'estimation pénalisée des cartes d'abondances en imagerie hyperspectrale. In Actes du 23e colloque GRETSI, Bordeaux, France, 5-8 September 2011.  [Abstract] [Article] [Slides]
  25. E. Chouzenoux, S. Moussaoui, J. Idier and F. Mariette. Optimization Algorithm for Maximum Entropy 2d Nuclear Resonance Reconstruction. In Proceedings of the 35th IEEE International Conference on Acoustics, Speech, and Signal Processing (ICASSP 2010), pages 4154-4157, Dallas, Texas, USA, 14-19 March 2010. [Article] [Poster]
  26. E. Chouzenoux, S. Moussaoui, J. Idier and F. Mariette. Reconstruction d'un spectre RMN 2D par maximum d'entropie. In Actes du 22e colloque GRETSI, Dijon, France, 8-11 September 2009. [Abstract] [Article] [Poster

Workshops/Seminars


  • E. Chouzenoux (joint work with F. Abboud, J.-C. Pesquet, L. Laborelli, J.-H. Chenot). Proximity operator computation for video restoration. Journées Franco-Chiliennes d'Optimisation, Toulouse, 6 juillet 2017.
  • E. Chouzenoux (joint work with J.-C. Pesquet). Majorization-Minimization Subspace Algorithms for Large Scale Data Processing. Ecole d'été ``Structured Regularization for High-Dimensional Data Analysis'', IHP, 21 juin 2017.
  • E. Chouzenoux (joint work with F. Abboud, J.-C. Pesquet, L. Laborelli, J.-H. Chenot). Accelerated dual forward-backward algorithms. Application to video restoration. Université de Modène, 3 avril 2017.
  • E. Chouzenoux (joint work with S. Cadoni, J.-C. Pesquet and C. Chaux). A Block Parallel Majorize-Minimize Memory Gradient Algorithm. Journée GDR ISIS, Inversion et problèmes multi-*, IAP, Paris, 20 mars 2017.
  • E. Chouzenoux (joint work with S. Cadoni, J.-C. Pesquet and C. Chaux). A Block Parallel Majorize-Minimize Memory Gradient Algorithm. Séminaire Parisien des Mathématiques Appliquées à l'Imagerie, IHP, Paris, 3 novembre 2016.
  • E. Chouzenoux (joint work with J.-C. Pesquet). A stochastic Majorize-Minimize subspace algorithm with application to filter identification problems. Cavalieri workshop on Optimization and Optimal Transport for Imaging, INRIA Paris, 12 octobre 2016.
  • E. Chouzenoux (joint work with J.-C. Pesquet). Convergence analysis of a stochastic Majorize-Minimize memory gradient algorithm. 28th European Conference on Operational Research (EURO 2016), Poznan, Polan, 4 juillet 2016.
  • E. Chouzenoux Proximal methods: tools for solving large-scale, inverse problems of image and video processing. GT Scientifique Images TOTAL, Annecy, 15 juin 2016.
  • E. Chouzenoux (joint work with J.-C. Pesquet). A stochastic Majorize-Minimize subspace algorithm with application to filter identification problems. Workshop Smart Energy and Stochastic Optimization (SESO 2016), ENPC, Champs/Marne, 3 mai 2016.
  • E. Chouzenoux (joint work with J.-C. Pesquet). A stochastic Majorize-Minimize subspace algorithm with application to filter identification problems. Journées SMAI-MODE, Toulouse, 25 mars 2016.
  • E. Chouzenoux (joint work with F. Abboud, J.-C. Pesquet, L. Laborelli, J.-H. Chenot). Accelerated dual forward-backward algorithms: Application to video restoration. Mathematical Image Analysis (MIA) conference, 19 janvier 2016.
  • E. Chouzenoux (joint work with J.-C. Pesquet). An overview of Stochastic Methods for Solving Optimization Problems. Journée GDR ISIS, Sur les intéractions Méthodes de Monte Carlo et Algorithmes d'Optimisation, Paris, France, 26 novembre 2015. [Slides]
  • E. Chouzenoux (joint work with A. Repetti and J.-C. Pesquet). Some recent results on proximal primal-dual methos for convex optimization. PGMO Days, 2015, Massy-Palaiseau, France, 27-28 octobre 2015.
  • E. Chouzenoux (joint work with J.-C. Pesquet and M.-A. Delsuc). Proximal methods: tools for solving inverse problems in a large scale. Application to biophysics measurements processing. Chemical Complexity and Biology Symposium, Strasbourg, France, 19-20 January 2015.
  • E. Chouzenoux (joint work with A. Repetti and J.-C. Pesquet). A random block-coordinate primal-dual proximal algorithm with application to 3D mesh denoising. Horizon Maths 2014, rencontres scientifiques IFPEN, Rueil-Malmaison, France, 15-16 December 2014.
  • L. Duval (joint work with A. Repetti, M. Q. Pham, E. Chouzenoux and J.-C. Pesquet). Un taxi pour Euclide (et non Tobrouk) : déconvolution aveugle parcimonieuse, un algorithme préconditionné avec ratio de normes l1/l2. Journée GDR ISIS, "Problèmes inverses : approches myopes et aveugles, semi- et non-supervisées", Paris, France, 6 November 2014.
  • E. Chouzenoux (joint work with A. Florescu and J.-C. Pesquet). A stochastic 3MG algorithm with application to 2D estimation problems. RICAM workshop: Variational Methods in Imaging, Linz, Autriche, 27-31 October 2014.
  • A. Repetti (joint work with E. Chouzenoux and J.-C. Pesquet). Algorithme préconditionné explicite-implicite et application à la résolution de problèmes inverses en traitement du signal. Journée GDR ISIS, "Optimisation non-convexe", Paris, France, 16 October 2014.
  • E. Chouzenoux. Proximal methods: tools for solving inverse problems on a large scale. Data Science and Massive Data Analysis, journée du Labex Bézout, Champs-sur-Marne, France, 12 June 2014. [Slides]
  • E. Chouzenoux, A. Repetti and J.-C. Pesquet. Une nouvelle approche régularisée pour la reconstruction de phase. Séminaire Parisien d'Optimisation, Paris, France, 24 March 2014.
  • A. Repetti, E. Chouzenoux and J.-C. Pesquet. Algorithme explicite-implicite préconditionné. Application à la résolution de problèmes inverses de grande taille. Journées d'imagerie optique non conventionnelle, GDR ISIS, Paris, France, 19-20 March 2014.
  • E. Chouzenoux, A. Florescu, J.-C. Pesquet, P. Ciuciu and S. Ciochina. Algorithme de majoration-minimisation pour les fonctions à valeurs complexes. Journée GDR ISIS, "Traitement du signal de données à valeurs complexes" , Marseille, France, 12 June 2013.
  • E. Chouzenoux, A. Jezierska, J.-C. Pesquet and H. Talbot. A Convex Variational Approach for Restoring Data Corrupted with Poisson-Gaussian Noise. 26th European Conference on Operational Research (EURO 2013), Rome, Italy, 1-4 July 2013.  
  • E. Chouzenoux, A. Repetti and J.-C. Pesquet. A Memory Gradient Algorithm for non-convex Regularization with Applications to Image Restoration. Journées GDR MOA-MSPC, "Optimisation et traitement d'images", Saint-François, Guadeloupe, 4-7 June 2012.  
  • E. Chouzenoux, A. Repetti and J.-C. Pesquet. A Memory Gradient Algorithm for non-convex Regularization with Applications to Image Restoration. SIAM Conference on Imaging Science, Philadelphie, Pennsylvanie, USA, 20-22 May 2012.  
  • E. Chouzenoux, A. Jezierska, J.-C. Pesquet and H. Talbot. A Memory Gradient Algorithm for l2-l0 Regularization with Applications to Image Restoration. Journées GDR MOA-MSPC, "Optimisation et traitement d'images" , La Londe les Maures, France, 6-10 June 2011.  [Slides]
  • E. Chouzenoux, S. Moussaoui and J. Idier. Algorithmes de majoration-minimisation pour l'optimisation sous contraintes de positivité. Journée GDR ISIS, "Contraintes de nonnégativité en traitement du signal et des images" , Paris, France, 1st February 2011.  [Slides]

Research reports


  • E. Chouzenoux, S. Moussaoui and J. Idier. A Majorize-Minimize line search algorithm for barrier functions. Tech. Rep., IRCCyN, 2009. [Document]
  • E. Chouzenoux. Modélisation du problème direct en tomographie axiale. Mémoire de Master, Ecole Centrale de Nantes, 2007. [Document]


PhD Thesis


Majorize-Minimize algorithms for stepsize determination. Application to the resolution of inverse problems. [HAL]



Abstract:

The solution to inverse problems encountered in signal and image processing is often defined as the minimizer of a penalized criterion that accounts simultaneously for the data and the prior. This thesis deals with the minimization of differentiable criteria. We focus more specifically on algorithmic strategies for stepsize determination in iterative descent optimization methods. In Christian Labat's thesis, a simple and efficient quadratic majorize-minimize line search method has been proposed (MMQ 1D). This method benefits from strong convergence results when the nonlinear conjugate gradient (NLCG) direction is used. In this thesis, we extend those properties to gradient related algorithms. Moreover, we prove that MMQ 1D generalizes into a multi-dimensional search MMQ rD that ensures the convergence of several subspace algorithms. We experimentally show that the super memory gradient algorithm SMG + MMQ 2D performs better than NLCG + MMQ 1D algorithms, for an image deconvolution test problem. MMQ strategies exclude the case of barrier criteria i.e., functions with unbounded gradient. In this thesis, we propose an original MM line search algorithm for barrier functions, based on a quadratic majorizing function augmented with a logarithmic term. This leads to a simple line search MMLQ 1D that ensures the convergence of several classical descent optimization strategies. We experimentally show that the proposal scheme improves the performances of primal interior point algorithm, for a set of quadratic programming test problems. Finally, we apply the MMLQ 1D approach to maximum entropy reconstruction of bi-dimensional NMR spectra.


Keywords:

inverse problems, penalised criterion, optimization, convergence, iterative descent, line search, majorization-minimization, subspace, logarithmic barrier, Kullback distance, maximum entropy, interior point, nuclear magnetic resonance.


Supervisors:


Commitee members:

Gilles Aubert, Jean-Christophe Pesquet, Christian Jutten, Henri Lantéri, Jérôme Idier, Saïd Moussaoui and François Mariette.