91 citations · 346 across the 30 of their papers we have counts for
5 papers · 1 filter
Local matching indicators for transport with concave costs
Julie Delon, Julien Salomon, A. Sobolevskii
In this note, we introduce a class of indicators that enable to compute efficiently optimal transport plans associated to arbitrary distributions of demands and supplies in…
Analysis of the Toolkit method for the time-dependant Schrödinger equation
Lucie Baudouin, Julien Salomon, Gabriel Turinici
The goal of this paper is to provide an analysis of the ``toolkit'' method used in the numerical approximation of the time-dependent Schrödinger equation. The ``toolkit'' method is…
A monotonic method for solving nonlinear optimal control problems
Julien Salomon, Gabriel Turinici
Initially introduced in the framework of quantum control, the so-called "monotonic algorithms" have demonstrated excellent numerical performance when dealing with bilinear optimal…
A greedy algorithm for the identification of quantum systems
Yvon Maday, Julien Salomon
The control of quantum phenomena is a topic that has carried out many challenging problems. Among others, the Hamiltonian identification, i.e, the inverse problem associated with t…
Fast transport optimization for Monge costs on the circle
Julie Delon, Julien Salomon, Andrei Sobolevskii
Consider the problem of optimally matching two measures on the circle, or equivalently two periodic measures on the real line, and suppose the cost of matching two points satisfies…