779 citations
- École PolytechniqueFR888 papers
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6 papers · 2 filters
Curse of dimensionality reduction in max-plus based approximation methods: theoretical estimates and improved pruning algorithms
Stephane Gaubert, William McEneaney, Zheng Qu
Max-plus based methods have been recently developed to approximate the value function of possibly high dimensional optimal control problems. A critical step of these methods consis…
On conditions for asymptotic stability of dissipative infinite-dimensional systems with intermittent damping
Falk Hante, Mario Sigalotti, Marius Tucsnak
We study the asymptotic stability of a dissipative evolution in a Hilbert space subject to intermittent damping. We observe that, even if the intermittence satisfies a persistent e…
Multigrid methods for two-player zero-sum stochastic games
Marianne Akian, Sylvie Detournay
We present a fast numerical algorithm for large scale zero-sum stochastic games with perfect information, which combines policy iteration and algebraic multigrid methods. This algo…
Information-Geometric Optimization Algorithms: A Unifying Picture via Invariance Principles
Yann Ollivier, Ludovic Arnold, Anne Auger +1
We present a canonical way to turn any smooth parametric family of probability distributions on an arbitrary search space into a continuous-time black-box optimization method o…
On 2-step, corank 2 nilpotent sub-Riemannian metrics
Davide Barilari, Ugo Boscain, Jean-Paul Gauthier
In this paper we study the nilpotent 2-step, corank 2 sub-Riemannian metrics that are nilpotent approximations of general sub-Riemannian metrics. We exhibit optimal syntheses for t…
Adiabatic control of the Schrödinger equation via conical intersections of the eigenvalues
Ugo Boscain, Francesca Chittaro, Paolo Mason +1
In this paper we present a constructive method to control the bilinear Schrödinger equation via two controls. The method is based on adiabatic techniques and works if the spectrum…