Estimating Barycenters of Distributions with Neural Optimal Transport

no code implementations • 6 Feb 2024 • Alexander Kolesov, Petr Mokrov, Igor Udovichenko, Milena Gazdieva, Gudmund Pammer, Evgeny Burnaev, Alexander Korotin

Given a collection of probability measures, a practitioner sometimes needs to find an "average" distribution which adequately aggregates reference distributions.

Energy-Guided Continuous Entropic Barycenter Estimation for General Costs

no code implementations • 2 Oct 2023 • Alexander Kolesov, Petr Mokrov, Igor Udovichenko, Milena Gazdieva, Gudmund Pammer, Anastasis Kratsios, Evgeny Burnaev, Alexander Korotin

Optimal transport (OT) barycenters are a mathematically grounded way of averaging probability distributions while capturing their geometric properties.

Light Unbalanced Optimal Transport

no code implementations • 14 Mar 2023 • Milena Gazdieva, Arip Asadulaev, Alexander Korotin, Evgeny Burnaev

We show that combined with a light parametrization recently proposed in the field our objective leads to a fast, simple, and effective solver which allows solving the continuous UEOT problem in minutes on CPU.

An Optimal Transport Perspective on Unpaired Image Super-Resolution

no code implementations • 2 Feb 2022 • Milena Gazdieva, Litu Rout, Alexander Korotin, Andrey Kravchenko, Alexander Filippov, Evgeny Burnaev

First, the learned SR map is always an optimal transport (OT) map.

Image Super-Resolution