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Section: Highlights of the Year
Highlights of the Year
Awards
G. Carlier was a John von Neumann invited Professor at TUM (Munich) in 2018.
Overall Objectives
Research Program
New Software and Platforms
New Results
- Rank optimality for the Burer-Monteiro factorization
- Representer theorems in variational problems
- The Sliding Frank-Wolfe algorithm for Super-resolution Microscopy Imaging
- Approximation of variational problems with a convexity constraint by PDEs of Abreu type
- Variational methods for tomographic reconstruction with few views
- A differential approach to the multi-marginal Schrödinger system
- Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem
- Second order models for optimal transport and cubic splines on the Wasserstein space
- An entropy minimization approach to second-order variational mean-field games
- Generalized incompressible flows, multi-marginal transport and Sinkhorn algorithm
- Testing Gaussian Process with Applications to Super-Resolution
- Approximate Optimal Designs for Multivariate Polynomial Regression
- Simulation of multiphase porous media flows with minimizing movement and finite volume schemes
- An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems
- Generalized compressible fluid flows and solutions of the Camassa-Holm variational model
- The Camassa-Holm equation as an incompressible Euler equation: a geometric point of view
- Variational Second-Order Interpolation on the Group of Diffeomorphisms with a Right-Invariant Metric
- Interpolating between Optimal Transport and MMD using Sinkhorn Divergences
Partnerships and Cooperations
Bibliography