81 citations · 372 across the 27 of their papers we have counts for
32 papers
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…
Formulas for the -mass on -currents with coefficients in
Julius Lohmann, Bernhard Schmitzer, Benedikt Wirth
We consider the minimization of the -mass over normal -currents in with coefficients in and prescribed boundary. This optimization is known as m…
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…
A Bayesian model for dynamic mass reconstruction from PET listmode data
Marco Mauritz, Bernhard Schmitzer, Benedikt Wirth
Positron emission tomography (PET) is a classical imaging technique to reconstruct the mass distribution of a radioactive material. If the mass distribution is static, this essenti…
Linearized optimal transport on manifolds
Clément Sarrazin, Bernhard Schmitzer
Optimal transport is a geometrically intuitive, robust and flexible metric for sample comparison in data analysis and machine learning. Its formal Riemannian structure allows for a…