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Section: New Software and Platforms
ALG2
Functional Description: ALG2 for Monge Mean-Field Games, Monge problem and Variational problems under divergence constraint. A generalisation of the ALG2 algorithm has been implemented in FreeFem++.
Overall Objectives
Research Program
New Software and Platforms
New Results
- An augmented Lagrangian approach to Wasserstein gradient flows and applications
- An entropy minimization approach to second-order variational mean-field games
- Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem
- Sparse analysis methods for Mesoscale Convective Systems (MCS)
- Pareto optimality with transport costs
- An epigraphical approach to the representer theorem
- Approximate Optimal Designs for Multivariate Polynomial Regression
- Sparse Recovery from Extreme Eigenvalues Deviation Inequalities
- Some new Stein operators for product distributions
- 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
- An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems
- Generalized compressible fluid flows and solutions of the Camassa-Holm variational model
- Metric completion of with the right-invariant metric
- Embedding Camassa-Holm equations in incompressible Euler
- Second order models for optimal transport and cubic splines on the Wasserstein space
Partnerships and Cooperations
Bibliography
Overall Objectives
Research Program
New Software and Platforms
New Results
- An augmented Lagrangian approach to Wasserstein gradient flows and applications
- An entropy minimization approach to second-order variational mean-field games
- Minimal convex extensions and finite difference discretization of the quadratic Monge-Kantorovich problem
- Sparse analysis methods for Mesoscale Convective Systems (MCS)
- Pareto optimality with transport costs
- An epigraphical approach to the representer theorem
- Approximate Optimal Designs for Multivariate Polynomial Regression
- Sparse Recovery from Extreme Eigenvalues Deviation Inequalities
- Some new Stein operators for product distributions
- 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
- An unbalanced optimal transport splitting scheme for general advection-reaction-diffusion problems
- Generalized compressible fluid flows and solutions of the Camassa-Holm variational model
- Metric completion of with the right-invariant metric
- Embedding Camassa-Holm equations in incompressible Euler
- Second order models for optimal transport and cubic splines on the Wasserstein space
Partnerships and Cooperations
Bibliography