# Program

The meeting is organized around 20 invited one hour talks in the different subjects of expertise of SIGMA. These talks will be accessible to a large audience, and given by international experts. About half of them will discuss new connections with learning theory and data sciences. Furthermore, the meeting will also include 30 minutes contributed talks as well as poster sessions, which will in particular encourage young researchers to present their results.

# Invited Speakers

**Jean-François Aujol**(U. Bordeaux, IUF),

*Relation between Nesterov acceleration and the geometry of the objective function.***Jean-Daniel Boissonnat**(INRIA Sophia-Antipolis),*Sampling and meshing submanifolds of arbitrary dimension and codimension***Claire Boyer**(U. Paris 6)*TBA***Rémi Gribonval**(ENS Lyon & INRIA)*Approximation with deep networks: to be or not to be sparse ?***Stéphane Mallat**(ENS)*Multiscale Models and Dictionary Learning for Image Classification and Synthesis with Convolutional Networks***Carla Manni**(U. Rome)*C² Cubic Splines on Refined Triangulations***Olga Mula**(U. Dauphine)*Optimal State Estimation Algorithms***Maks Ovsjanikov**(Ecole Polytechnique)*TBA***Gerlind Plonka-Hoch**(U. Göttingen)*Optimal Low-Rank Approximation of Matrices with Hankel Structure***Clarice Poon**(U. Cambridge)*Multi-dimensional off-the-grid sparse estimation***Thomas Sauer**(U. Passau)*Generalized convolutions***Christoph Schnörr**(U. Heidelberg)*Self-Assignment Flows For Unsupervised Contextual Data Classification***Irène Waldspurger**(CNRS, U. Dauphine)*TBA***Pierre Weiss**(CNRS, U. Toulouse)*Sampling rates for l1-synthesis*

# Contributed Talks

- Laurent Baratchart,
*Divergence free measures and inverse Poisson-Hodge problems in the plane* - Luca Calatroni,
*Variational and differential osmosis models for data fusion* - Olivier Gibaru,
*Applied Machine Learning* - Sylvain Girard,
*Some improvements to auto-associative models for approximating sets of signals and images* - Ognyan Kounchev,
*Non-parametric regressions via (multivariate) polysplines* - Jacques Liandrat,
*New developments around kriging* - Francois Malgouyres,
*Guaranteed overestimation learning for the surrogate of a monotone model* - Ana Matos,
*Solving a class of singular integral equations related to an equilibrium problem in potential theory* - James Nichols,
*Nonlinear reduced modelling for state estimation of parametric PDEs* - Hartmut Prautzsch,
*Rational Quadrilateral Spline Orbifolds* - Ulrich Reif,
*Modeling and Simulation with Watertight Trimmed NURBS Surfaces* - Martin Rumpf,
*Principal Geodesic Analysis Using Nonlinear Rotation-Invariant Coordinates* - Espen Sande,
*The role of smoothness in spline approximation* - Jean-Luc Starck,
*TBA* - Mathijs Wintraecken,
*The topological correctness of the PL-approximation of isomanifolds (with boundary) without perturbations, via isotopy*

# Poster presentations

- Paul Asensio,
*Inverse problem of source identification in electroencephalography (EEG)* - Joanna Bisch,
*Functions of Toeplitz matrices* - Hanane Dalimi,
*la segmentation d'image par EM/MPM* - François Desquilbet,
*Resolution of eikonal equations with finsler metrics arising from geophysics by the Fast Marching method* - Jean Feydy,
*Geometric data analysis, beyond convolutions* - Angelo Franciosini,
*Modelling Complex-cells and topological structure in the visual cortex of mammals using Sparse Predictive Coding* - Agathe Herrou,
*Semi-discrete symmetrized optimal transport* - Sumit Kaushik,
*Utility of cartesian 4th Order Tensors for White Matter Segmentation* - Inge Keller,
*Reconstruction Using Generalized Shift Operators and Prony's Method* - Radja KHEDDAM,
*Dempster Shafer Theory for Classification of Remotely Sensed Images* - Masimba Nemaire,
*Inverse problem of source identification in electroencephalography (EEG)* - Soukaina Ouarab,
*TBA* - Laurent Perrinet,
*Sparse Deep Predictive Coding captures contour integration capabilities of the early visual system* - Kevin Polisano,
*Modelling the co-evolutionary dynamics of information diffusion and links creation on social networks* - Temesgem Tsegaye,
*Geodesic Fiber Tracking in White Matter using Activation Function* - Konstantin Usevich,
*Spectral properties of kernel matrices in the flat limit* - Markus Wageringel,
*Reconstruction of generalized exponential sums*