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Igor Udovichenko

2 accepted papers

2024

Energy-Guided Continuous Entropic Barycenter Estimation for General Costs

NeurIPS 2024spotlight

Optimal transport (OT) barycenters are a mathematically grounded way of averaging probability distributions while capturing their geometric properties. In short, the barycenter task is to take the average of a collection of probability distributions w.r.t. given OT discrepancies. We propose a novel…

2024

Estimating Barycenters of Distributions with Neural Optimal Transport

ICML 2024poster

Given a collection of probability measures, a practitioner sometimes needs to find an "average" distribution which adequately aggregates reference distributions. A theoretically appealing notion of such an average is the Wasserstein barycenter, which is the primal focus of our work. By building upon…