4 citations · 5 across the 3 of their papers we have counts for
7 papers
Mirror Descent with Relative Smoothness in Measure Spaces, with application to Sinkhorn and EM
Pierre-Cyril Aubin-Frankowski, Anna Korba, Flavien Léger
Many problems in machine learning can be formulated as optimizing a convex functional over a vector space of measures. This paper studies the convergence of the mirror descent algo…
The back-and-forth method for Wasserstein gradient flows
Matt Jacobs, Wonjun Lee, Flavien Léger
We present a method to efficiently compute Wasserstein gradient flows. Our approach is based on a generalization of the back-and-forth method (BFM) introduced by Jacobs and Léger t…
A gradient descent perspective on Sinkhorn
Flavien Léger
We present a new perspective on the popular Sinkhorn algorithm, showing that it can be seen as a Bregman gradient descent (mirror descent) of a relative entropy (Kullback-Leibler d…
A fast approach to optimal transport: The back-and-forth method
Matt Jacobs, Flavien Léger
We present an iterative method to efficiently solve the optimal transportation problem for a class of strictly convex costs which includes quadratic and p-power costs. Given two pr…
Hopf-Cole transformation via generalized Schrödinger bridge problem
Flavien Léger, Wuchen Li
We study generalized Hopf-Cole transformations motivated by the Schrödinger bridge problem, which can be seen as a boundary value Hamiltonian system on the Wasserstein space. We pr…
Development and Characterisation of a Gas System and its Associated Slow-Control System for an ATLAS Small-Strip Thin Gap Chamber Testing Facility
R. Keyes, K. A. Johnson, L. Pepin +10
A quality assurance and performance qualification laboratory was built at McGill University for the Canadian-made small-strip Thin Gap Chamber (sTGC) muon detectors produced for th…
A new approach to bounds on mixing
Flavien Léger
We consider mixing by incompressible flows. In 2003, Bressan stated a conjecture concerning a bound on the mixing achieved by the flow in terms of an norm of the velocity fie…