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math.OC2019
Nesterov's acceleration and Polyak's heavy ball method in continuous time: convergence rate analysis under geometric conditions and perturbations
Othmane Sebbouh, Charles Dossal, Aude Rondepierre
In this article a family of second order ODEs associated to inertial gradient descend is studied. These ODEs are widely used to build trajectories converging to a minimizer o…
math.OC2018
Optimal convergence rates for Nesterov acceleration
Jean François Aujol, Charles Dossal, Aude Rondepierre
In this paper, we study the behavior of solutions of the ODE associated to Nesterov acceleration. It is well-known since the pioneering work of Nesterov that the rate of convergenc…
math.OC2012★ 1 cited
Consistency of l1 recovery from noisy deterministic measurements
Charles Dossal, Rémi Tesson
In this paper a new result of recovery of sparse vectors from deterministic and noisy measurements by l1 minimization is given. The sparse vector is randomly chosen and follows a g…