190 citations · 260 across the 16 of their papers we have counts for
3 papers · 1 filter
Minimal Dirichlet energy partitions for graphs
Braxton Osting, Chris D. White, Edouard Oudet
Motivated by a geometric problem, we introduce a new non-convex graph partitioning objective where the optimality criterion is given by the sum of the Dirichlet eigenvalues of the…
Phase-field approximations of the Willmore functional and flow
Elie Bretin, Simon Masnou, Edouard Oudet
We discuss in this paper phase-field approximations of the Willmore functional and the associated L2-flow. After recollecting known results on the approximation of the Willmore ene…
Optimal Transport with Proximal Splitting
Nicolas Papadakis, Gabriel Peyré, Edouard Oudet
This article reviews the use of first order convex optimization schemes to solve the discretized dynamic optimal transport problem, initially proposed by Benamou and Brenier. We de…