4 papers
Domain decomposition for entropic unbalanced optimal transport
Ismael Medina, The Sang Nguyen, Bernhard Schmitzer
Solving large scale entropic optimal transport problems with the Sinkhorn algorithm remains challenging, and domain decomposition has been shown to be an efficient strategy for pro…
Semi-discrete unbalanced optimal transport and quantization
David P. Bourne, Bernhard Schmitzer, Benedikt Wirth
In this paper we study the class of optimal entropy-transport problems introduced by Liero, Mielke and Savaré in Inventiones Mathematicae 211 in 2018. This class of unbalanced tra…
Flow updates for domain decomposition of entropic optimal transport
Ismael Medina, Bernhard Schmitzer
Domain decomposition has been shown to be a computationally efficient distributed method for solving large scale entropic optimal transport problems. However, a naive implementatio…
Continuum of coupled Wasserstein gradient flows
Clément Cancès, Daniel Matthes, Ismael Medina +1
We study a system of drift-diffusion PDEs for a potentially infinite number of incompressible phases, subject to a joint pointwise volume constraint. Our analysis is based on the i…