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20212026
most citedKantorovich Strikes Back! Wasserstein GANs are not Optimal Transport?

4 citations · 9 across the 10 of their papers we have counts for

collaborators

11 papers

cs.CL2026

E-MoE: Enhanced Mixture-of-Experts for Non-Factorized Diffusion Language Models

Arseny Ivanov, Alexander Kolesov, Alexander Korotin +2

Masked diffusion models (MDMs) generate sequences by progressively unmasking several tokens per denoising step, but their reverse process is typically factorized over positions, li…

cs.LG2025

Electric Currents for Discrete Data Generation

Alexander Kolesov, Stepan Manukhov, Vladimir V. Palyulin +1

We propose lectric urrent iscrete ata eneration (ECDG), a pioneering method for data generation in discrete settin…

cs.LG2025

Interaction Field Matching: Overcoming Limitations of Electrostatic Models

Stepan I. Manukhov, Alexander Kolesov, Vladimir V. Palyulin +1

Electrostatic field matching (EFM) has recently appeared as a novel physics-inspired paradigm for data generation and transfer using the idea of an electric capacitor. However, it…

cs.LG2025

Field Matching: an Electrostatic Paradigm to Generate and Transfer Data

Alexander Kolesov, Manukhov Stepan, Vladimir V. Palyulin +1

We propose Electrostatic Field Matching (EFM), a novel method that is suitable for both generative modeling and distribution transfer tasks. Our approach is inspired by the physics…

stat.ML2024

Robust Barycenter Estimation using Semi-Unbalanced Neural Optimal Transport

Milena Gazdieva, Jaemoo Choi, Alexander Kolesov +3

Aggregating data from multiple sources can be formalized as an Optimal Transport (OT) barycenter problem, which seeks to compute the average of probability distributions with respe…

cs.LG2024

Estimating Barycenters of Distributions with Neural Optimal Transport

Alexander Kolesov, Petr Mokrov, Igor Udovichenko +4

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

cs.LG2023

Energy-Guided Continuous Entropic Barycenter Estimation for General Costs

Alexander Kolesov, Petr Mokrov, Igor Udovichenko +5

Optimal transport (OT) barycenters are a mathematically grounded way of averaging probability distributions while capturing their geometric properties. In short, the barycenter tas…

cs.LG2023★ 1 cited

Building the Bridge of Schrödinger: A Continuous Entropic Optimal Transport Benchmark

Nikita Gushchin, Alexander Kolesov, Petr Mokrov +4

Over the last several years, there has been significant progress in developing neural solvers for the Schrödinger Bridge (SB) problem and applying them to generative modelling. Thi…

cs.LG2022★ 2 cited

Entropic Neural Optimal Transport via Diffusion Processes

Nikita Gushchin, Alexander Kolesov, Alexander Korotin +2

We propose a novel neural algorithm for the fundamental problem of computing the entropic optimal transport (EOT) plan between continuous probability distributions which are access…

cs.LG2022★ 4 cited

Kantorovich Strikes Back! Wasserstein GANs are not Optimal Transport?

Alexander Korotin, Alexander Kolesov, Evgeny Burnaev

Wasserstein Generative Adversarial Networks (WGANs) are the popular generative models built on the theory of Optimal Transport (OT) and the Kantorovich duality. Despite the success…

cs.DC2021★ 2 cited

Decentralized Langevin Dynamics over a Directed Graph

Alexander Kolesov, Vyacheslav Kungurtsev

The prevalence of technologies in the space of the Internet of Things and use of multi-processing computing platforms to aid in the computation required to perform learning and inf…