Réunion

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L0-based minimization: from continuous relaxations and non-convex algorithms to global optimization

Date : 16-09-2024
Lieu : Institut Henri Poincaré (IHP), Paris, amphithéâtre Choquet-Bruhat (bâtiment Perrin, second étage)

Thèmes scientifiques :

    Nous vous rappelons que, afin de garantir l'accès de tous les inscrits aux salles de réunion, l'inscription aux réunions est gratuite mais obligatoire.


    Inscriptions closes à cette réunion.

    Inscriptions

    28 personnes membres du GdR ISIS, et 21 personnes non membres du GdR, sont inscrits à cette réunion.

    Capacité de la salle : 50 personnes.

    Annonce

    Inscriptions

    28 août 2024 : la date limite d'inscription est atteinte, les inscriptions sont closes.

    Scientific context

    Numerous problems in signal/image processing, statistics, and machine learning rely on the resolution of sparse optimization problems. These problems are very challenging to solve due to their combinatorial nature. The purpose of this thematic day is to bring together researchers in the field in order to explore the recent progress made in solving these challenging non-convex optimization problems. In particular, the program will cover a variety of methods from continuous relaxation and non-convex optimization algorithms to global optimization techniques.

    Organizers

    L. Calatroni (CNRS, Laboratoire I3S), E. Soubies (CNRS, IRIT)

    Program

    9h - 9h10: Welcome

    9h10-10h10: Jerome Idier (CNRS) + Laure Blanc-Féraud (CNRS): An overview of l_0 minimization

    10h10h40: Coffee break

    Session 1: Relaxations

    10h40-11h20: Marcus Carlsson (Lund University, Sweden) On quadratic envelopes for low rank and sparsity problems

    11h20-11h40: Paul Zheng (RWTH Aachen University, Germany - previously CVN-OPIS Inria CentraleSupelec), PENDANTSS: PEnalized Norm-ratios Disentangling Additive Noise, Trend and Sparse Spikes

    11h40-12h00: Michel De Lara (Cermics, École des Ponts ParisTech) Hidden convexity in the l0-pseudo norm

    12h-13h40: Lunch break and poster session

    - M'hamed Essafri (INP Toulouse) On l_0 Bregman relaxations for Kullback-Leibler sparse regression

    - Joseph Gabet (L2S CentraleSupélec) Global optimization in the context of spike deconvolution

    - Anne Gagneux (ENS Lyon) Automated and Unbiased Coefficient Clustering with Non Convex SLOPE

    - Seta Rakotomandimby (Cermics - ENPC) Abstract Cutting Plane Method applied to Sparse Optimization

    Session 2: Optimization

    13h40-14h20: Alain Rakotomamonjy (Criteo AI labs & Université de Rouen) Screening rule and working set algorithms for LASSO with non-convex regularizers.

    14h20-14h40: Mohamed Mimoun (Aix-Marseille Université) Straight-Through meets Sparse Recovery: the Support Exploration Algorithm

    14h40-15h00: Clara Lage (ENS Lyon) Identifying a piecewise affine signal from its nonlinear observation - application to DNA replication analysis

    15h-00-15h30: Coffee break

    Session 3: Global optimization

    15h30:16h10: Sebastien Bourguignon (Ecole Centrale de Nantes) Branch-and-bound methods for sparse optimization: main topics and recent achievements

    16h10-16h30: Theo Guyard (Inria and Insa Rennes) Toward stronger relaxations for L0-regularized problems

    16h30-16h50: Diego Delle Donne (ESSEC Business School) A Novel Integer Linear Programming Approach for Global L0 Minimization

    16h50-17h10: Nicolas Nadisic (Ghent University and Royal Institute for Cultural Heritage, Belgique) Global optimization for L0-constrained simultaneous sparse coding

    17h10: Conclusions

    Registration deadline: August 27 2024.

    Registration is free but mandatory for organization purposes and maximal room capacity.

    Programme

    9h - 9h10: Welcome

    9h10-10h10: Jerome Idier (CNRS) + Laure Blanc-Féraud (CNRS): An overview of l_0 minimization

    10h10h40: Coffee break

    Session 1: Relaxations

    10h40-11h20: Marcus Carlsson (Lund University, Sweden) On quadratic envelopes for low rank and sparsity problems

    11h20-11h40: Paul Zheng (RWTH Aachen University, Germany - previously CVN-OPIS Inria CentraleSupelec), PENDANTSS: PEnalized Norm-ratios Disentangling Additive Noise, Trend and Sparse Spikes

    11h40-12h00: Michel De Lara (Cermics, École des Ponts ParisTech) Hidden convexity in the l0-pseudo norm

    12h-13h40: Lunch break and poster session

    - M'hamed Essafri (INP Toulouse) On l_0 Bregman relaxations for Kullback-Leibler sparse regression

    - Joseph Gabet (L2S CentraleSupélec) Global optimization in the context of spike deconvolution

    - Anne Gagneux (ENS Lyon) Automated and Unbiased Coefficient Clustering with Non Convex SLOPE

    - Seta Rakotomandimby (Cermics - ENPC) Abstract Cutting Plane Method applied to Sparse Optimization

    Session 2: Optimization

    13h40-14h20: Alain Rakotomamonjy (Criteo AI labs & Université de Rouen) Screening rule and working set algorithms for LASSO with non-convex regularizers.

    14h20-14h40: Mohamed Mimoun (Aix-Marseille Université) Straight-Through meets Sparse Recovery: the Support Exploration Algorithm

    14h40-15h00: Clara Lage (ENS Lyon) Identifying a piecewise affine signal from its nonlinear observation - application to DNA replication analysis

    15h-00-15h30: Coffee break

    Session 3: Global optimization

    15h30:16h10: Sebastien Bourguignon (Ecole Centrale de Nantes) Branch-and-bound methods for sparse optimization: main topics and recent achievements

    16h10-16h30: Theo Guyard (Inria and Insa Rennes) Toward stronger relaxations for L0-regularized problems

    16h30-16h50: Diego Delle Donne (ESSEC Business School) A Novel Integer Linear Programming Approach for Global L0 Minimization

    16h50-17h10: Nicolas Nadisic (Ghent University and Royal Institute for Cultural Heritage, Belgique) Global optimization for L0-constrained simultaneous sparse coding

    17h10: Conclusions