425 citations
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Showing 2021 · math.APShow all
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math.AP2021
Generalized conditional gradient and learning in potential mean field games
J Frédéric Bonnans, Pierre Lavigne, Laurent Pfeiffer
We apply the generalized conditional gradient algorithm to potential mean field games and we show its well-posedeness. It turns out that this method can be interpreted as a learnin…
math.AP2021
A Spectral Dominance Approach to Large Random Matrices
Charles Bertucci, Mérouane Debbah, Jean-Michel Lasry +1
This paper presents a novel approach to characterize the dynamics of the limit spectrum of large random matrices. This approach is based upon the notion we call "spectral dominance…
math.AP2021★ 8 cited
Exponential convergence to a steady-state for a population genetics model with sexual reproduction and selection
Gaël Raoul
We are interested in the dynamics of a population structured by a phenotypic trait. Individuals reproduce sexually, which is represented by a non-linear integral operator. This ope…