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14 papers · 1 filter
Average-case complexity of a branch-and-bound algorithm for maximum independent set, under the random model
N. Bourgeois, R. Catellier, T. Denat +1
We study average-case complexity of branch-and-bound for maximum independent set in random graphs under the distribution. In this model every pair of ver…
Regularization in for the Ornstein--Uhlenbeck semigroup
Joseph Lehec
Let be the standard Gaussian measure on and let be the Ornstein--Ulhenbeck semigroup. Eldan and Lee recently established that for every non--negative fu…
On systems of continuity equations with nonlinear diffusion and nonlocal drifts
Guillaume Carlier, Maxime Laborde
This paper is devoted to existence and uniqueness results for classes of nonlinear diffusion equations (or systems) which may be viewed as regular perturbations of Wasserstein grad…
Fast Optimal Transport Averaging of Neuroimaging Data
Alexandre Gramfort, Gabriel Peyré, Marco Cuturi
Knowing how the Human brain is anatomically and functionally organized at the level of a group of healthy individuals or patients is the primary goal of neuroimaging research. Yet…
Sparse Spikes Deconvolution on Thin Grids
Vincent Duval, Gabriel Peyré
This article analyzes the recovery performance of two popular finite dimensional approximations of the sparse spikes deconvolution problem over Radon measures. We examine in a unif…
Entropic Wasserstein Gradient Flows
Gabriel Peyré
This article details a novel numerical scheme to approximate gradient flows for optimal transport (i.e. Wasserstein) metrics. These flows have proved useful to tackle theoretically…