10 citations · 27 across the 13 of their papers we have counts for
16 papers
Weak-Strong Uniqueness for Second-Order Mean-Field Games
Rita Ferreira, Diogo Gomes, Bashayer Majrashi
We extend the weak-strong uniqueness principle for mean-field game (MFG) systems to a broad class of second-order stationary and time-dependent problems. Under standard monotonicit…
Dyadic partition-based training schemes for TV/TGV denoising
Elisa Davoli, Rita Ferreira, Irene Fonseca +1
Due to their ability to handle discontinuous images while having a well-understood behavior, regularizations with total variation (TV) and total generalized variation (TGV) are som…
Structural changes in nonlocal denoising models arising through bi-level parameter learning
Elisa Davoli, Rita Ferreira, Carolin Kreisbeck +1
We introduce a unified framework based on bi-level optimization schemes to deal with parameter learning in the context of image processing. The goal is to identify the optimal regu…
A Potential Approach for Planning Mean-Field Games in One Dimension
Tigran Bakaryan, Rita Ferreira, Diogo Gomes
This manuscript discusses planning problems for first- and second-order one-dimensional mean-field games (MFGs). These games are comprised of a Hamilton-Jacobi equation coupled wit…
Homogenization of quasi-crystalline functionals via two-scale-cut-and-project convergence
Rita Ferreira, Irene Fonseca, Raghavendra Venkatraman
We consider a homogenization problem associated with quasi-crystalline multiple integrals of the form \begin{equation*} \begin{aligned} u_\varepsilon\in L^p(Ω;\mathbb{R}^d) \mapsto…
Uniform estimates for the planning problem with potential
Tigran Bakaryan, Rita Ferreira, Diogo Gomes
In this paper, we study a priori estimates for a first-order mean-field planning problem with a potential. In the theory of mean-field games (MFGs), a priori estimates play a cruci…
Existence of weak solutions to time-dependent mean-field games
Rita Ferreira, Diogo Gomes, Teruo Tada
Here, we establish the existence of weak solutions to a wide class of time-dependent monotone mean-field games (MFGs). These MFGs are given as a system of degenerate parabolic equa…
Two-scale homogenization of a stationary mean-field game
Rita Ferreira, Diogo Gomes, Xianjin Yang
In this paper, we characterize the asymptotic behavior of a first-order stationary mean-field game (MFG) with a logarithm coupling, a quadratic Hamiltonian, and a periodically osci…
Homogenization in of a model for layered composites in finite crystal plasticity
Elisa Davoli, Rita Ferreira, Carolin Kreisbeck
In this work, we study the effective behavior of a two-dimensional variational model within finite crystal plasticity for high-contrast bilayered composites. Precisely, we consider…
Existence of weak solutions to first-order stationary mean-field games with Dirichlet conditions
Rita Ferreira, Diogo Gomes, Teruo Tada
In this paper, we study first-order stationary monotone mean-field games (MFGs) with Dirichlet boundary conditions. While for Hamilton--Jacobi equations Dirichlet conditions may no…
Bending-torsion moments in thin multi-structures in the context of nonlinear elasticity
Rita Ferreira, Elvira Zappale
Here, we address a dimension-reduction problem in the context of nonlinear elasticity where the applied external surface forces induce bending-torsion moments. The underlying body…
Characterization of generalized Orlicz spaces
Rita Ferreira, Peter Hästö, Ana Margarida Ribeiro
The norm in classical Sobolev spaces can be expressed as a difference quotient. This expression can be used to generalize the space to the fractional smoothness case. Because the d…
A chromaticity-brightness model for color images denoising in a Meyer's "u+v" framework
Rita Ferreira, Irene Fonseca, M. Luisa Mascarenhas
A variational model for imaging segmentation and denoising color images is proposed. The model combines Meyer's "u+v" decomposition with a chromaticity-brightness framework and is…
Existence of weak solutions to stationary mean-field games through variational inequalities
Rita Ferreira, Diogo Gomes
Here, we consider stationary monotone mean-field games (MFGs) and study the existence of weak solutions. First, we introduce a regularized problem that preserves the monotonicity.…
Existence of positive solutions for an approximation of stationary mean-field games
Nojood Almayouf, Elena Bachini, Andreia Chapouto +22
Here, we consider a regularized mean-field game model that features a low-order regularization. We prove the existence of solutions with positive density. To do so, we combine a pr…
Two numerical approaches to stationary mean-field games
Noha Almulla, Rita Ferreira, Diogo Gomes
Here, we consider numerical methods for stationary mean-field games (MFG) and investigate two classes of algorithms. The first one is a gradient-flow method based on the variationa…