592 citations
- Université de LimogesFR138 papers
- Centre National de la Recherche ScientifiqueFR112 papers
- University of BresciaIT14 papers
- Institut national de recherche en sciences et technologies du numériqueFR11 papers
- Sorbonne UniversitéFR11 papers
- Université de PoitiersFR11 papers
- Laboratoire Interdisciplinaire Carnot de BourgogneFR9 papers
- Sapienza University of RomeIT9 papers
- The University of Western AustraliaAU8 papers
- Laboratoire Jacques-Louis LionsFR7 papers
- Université de BourgogneFR7 papers
- Université Paris-SaclayFR7 papers
25 papers · 1 filter
Gradient extremals, talwegs, valleys, and directional alignment for generic gradient descent
Pascal Bégout, Jérôme Bolte, Thomas Mariotti +1
Gradient extremals are loci along which the gradient is an eigenvector of the Hessian. These objects provide a natural geometric framework connecting several notions, notably valle…
Shape optimization involving the Tresca friction law in a 2D linear elastic model
Loïc Bourdin, Fabien Caubet, Aymeric Jacob de Cordemoy
The aim of this work is to analyse a shape optimization problem in a mechanical friction context. Precisely we perform a shape sensitivity analysis of a Tresca friction problem, th…
Certifying solutions of degenerate semidefinite programs
Vladimir Kolmogorov, Simone Naldi, Jeferson Zapata
This paper deals with the algorithmic aspects of solving feasibility problems of semidefinite programming (SDP), aka linear matrix inequalities (LMI). Since in some SDP instances a…
Subtransversality and Strong CHIP of Closed Sets in Asplund Spaces
Zhou Wei, Michel Théra, Jen-Chih Yao
In this paper, we mainly study subtransversality and two types of strong CHIP (given via Fréchet and limiting normal cones) for a collection of finitely many closed sets. We first…
Forward-backward algorithm for functions with locally Lipschitz gradient: applications to mean field games
Luis M. Briceno-Arias, Francisco José Silva, Xianjin Yang
In this paper, we provide a generalization of the forward-backward splitting algorithm for minimizing the sum of a proper convex lower semicontinuous function and a differentiable…
Approximation of deterministic mean field games under polynomial growth conditions on the data
Justina Gianatti, Francisco J. Silva, Ahmad Zorkot
We consider a deterministic mean field games problem in which a typical agent solves an optimal control problem where the dynamics is affine with respect to the control and the cos…