Research
(Under Construction)
(Signed) Wasserstein Barycenter
How should the mean of a collection of probability distribution be computed in practice? What can we build on the mean?
Accelerated Sampling
How can we design an accelerated MCMC sampling algorithm on discrete state spaces such as graphs?
Multimarginal Optimal Transport
Given a sequence of data, what is their distributional representation in the sense of optimal transport theory?
Shape Optimization
What is the best shape to balance the minimal perimeter and its surrounding ``coating’’?