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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…
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…
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…