Forward-backward algorithm for functions with locally Lipschitz gradient: applications to mean field games

Convex programming (90C25) Numerical optimization and variational techniques (65K10) Mean field games and control (49N80) Mean field games (aspects of game theory) (91A16)

Cites Work

Unnamed Item
Mean field games. I: The stationary case
Mean field games. II: Finite horizon and optimal control
Augmented Lagrangian methods for transport optimization, mean field games and degenerate elliptic equations
Existence for stationary mean-field games with congestion and quadratic Hamiltonians
A variational approach to second order mean field games with density constraints: the stationary case
Mean field games
Quelques propriétés des opérateurs angle-bornes et n-cycliquement monotones
Perspective functions: properties, constructions, and examples
Exact worst-case convergence rates of the proximal gradient method for composite convex minimization
Two numerical approaches to stationary mean-field games
A first-order primal-dual algorithm for convex problems with applications to imaging
Long time average of mean field games
A-priori estimates for stationary mean-field games
On the linear convergence of forward-backward splitting method. I: Convergence analysis
An enhanced Baillon-Haddad theorem for convex functions defined on convex sets
On the equivalence of the primal-dual hybrid gradient method and Douglas-Rachford splitting
Multi-population mean field games systems with Neumann boundary conditions
On the existence of classical solutions for stationary extended mean field games
Large population stochastic dynamic games: closed-loop McKean-Vlasov systems and the Nash certainty equivalence principle
Mean field games models -- a brief survey
Méthodes d'approximation et d'itération pour les opérateurs monotones
Methodes itératives pour les équations et inéquations aux dérivées partielles non linéaires de type monotone. (Iteration methods for nonlinear equations and inequations with partial derivatives of monotone type)
A primal-dual partial inverse algorithm for constrained monotone inclusions: applications to stochastic programming and mean field games
Primal-dual splittings as fixed point iterations in the range of linear operators
Regularity Theory for Mean-Field Game Systems
First Order Mean Field Games with Density Constraints: Pressure Equals Price
On the convergence of the forward–backward splitting method with linesearches
Mean Field Games: Convergence of a Finite Difference Method
Optimal Transport with Proximal Splitting
Mean Field Games: Numerical Methods for the Planning Problem
Regularity for second order stationary mean-field games
Weak Solutions for First Order Mean Field Games with Local Coupling
Splitting Algorithms for the Sum of Two Nonlinear Operators
On the Variational Formulation of Some Stationary Second-Order Mean Field Games Systems
Proximal Methods for Stationary Mean Field Games with Local Couplings
On the implementation of a primal-dual algorithm for second order time-dependent Mean Field Games with local couplings
Split-Douglas--Rachford Algorithm for Composite Monotone Inclusions and Split-ADMM
Mean Field Games
Computational Methods for First-Order Nonlocal Mean Field Games with Applications
Large-Population Cost-Coupled LQG Problems With Nonuniform Agents: Individual-Mass Behavior and Decentralized $\varepsilon$-Nash Equilibria
Probabilistic Theory of Mean Field Games with Applications II
The Variable Metric Forward-Backward Splitting Algorithm Under Mild Differentiability Assumptions
Mean Field Games: Numerical Methods
Signal Recovery by Proximal Forward-Backward Splitting
Level Sets and Continuity of Conjugate Convex Functions
An Operator Theoretic Formulation of a Class of Control Problems and a Steepest Descent Method of Solution
Convergence of a Finite Difference Scheme to Weak Solutions of the System of Partial Differential Equations Arising in Mean Field Games
Convex analysis and monotone operator theory in Hilbert spaces

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