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20232026
most citedOptimal Transport Maps are Good Voice Converters

1 citations · 2 across the 32 of their papers we have counts for

collaborators

36 papers

cs.LG2026

Discrete Action Matching: Learning Stochastic Dynamics from Samples via State Graphs

Mikhail Persiianov, Alexander Korotin

Learning population dynamics from unpaired temporal marginals is an ill-posed inverse problem that requires structural assumptions on the underlying dynamics. We introduce $\textit…

cs.LG2026

Data Unlearning via Inverse Distillation

Aleksei Leonov, Nikita Kornilov, Zhenhe Zhang +3

Multi-step matching models, including flow and diffusion models, produce high-quality outputs but incur substantial inference costs and may reproduce unwanted components of their t…

cs.LG2026

Tilted Schrödinger Bridge Matching

Sergei Kholkin, Evgeny Burnaev, Alexander Korotin

Schrödinger bridges provide an entropy-regularized framework and a principled solution for unpaired domain translation. In practice, a pretrained bridge may need to be adapted to h…

cs.LG2026

Impute-EM: Native Mixed-State Diffusion Models for Heterogeneous Data Imputation

Sergei Kholkin, Kirill Sokolov, Dmitry Baranchuk +2

Missing values are ubiquitous in heterogeneous data mining, where numerical, categorical, and binary variables often coexist. Many imputation methods, especially diffusion-based on…

cs.LG2026

Discrete Bridges for Mutual Information Estimation

Iryna Zabarianska, Sergei Kholkin, Grigoriy Ksenofontov +2

Diffusion bridge models in both continuous and discrete state spaces have recently become powerful tools in the field of generative modeling. In this work, we leverage the discrete…

cs.LG2026

Unlocking the Duality between Flow and Field Matching

Daniil Shlenskii, Alexander Varlamov, Nazar Buzun +1

Conditional Flow Matching (CFM) unifies conventional generative paradigms such as diffusion models and flow matching. Interaction Field Matching (IFM) is a newer framework that gen…

cs.LG2026

IDLM: Inverse-distilled Diffusion Language Models

David Li, Nikita Gushchin, Dmitry Abulkhanov +4

Diffusion Language Models (DLMs) have recently achieved strong results in text generation. However, their multi-step sampling leads to slow inference, limiting practical use. To ad…

cs.LG2026

Variational Entropic Optimal Transport

Roman Dyachenko, Nikita Gushchin, Kirill Sokolov +3

Entropic optimal transport (EOT) in continuous spaces with quadratic cost is a classical tool for solving the domain translation problem. In practice, recent approaches optimize a…

stat.ML2025

On the Equivalence of Optimal Transport Problem and Action Matching with Optimal Vector Fields

Nikita Kornilov, Alexander Korotin

Flow Matching (FM) method in generative modeling maps arbitrary probability distributions by constructing an interpolation between them and then learning the vector field that defi…

cs.LG2025

Sampling from Energy distributions with Target Concrete Score Identity

Sergei Kholkin, Francisco Vargas, Alexander Korotin

We introduce the Target Concrete Score Identity Sampler (TCSIS), a method for sampling from unnormalized densities on discrete state spaces by learning the reverse dynamics of a Co…

cs.LG2025

Time-Correlated Video Bridge Matching

Viacheslav Vasilev, Arseny Ivanov, Nikita Gushchin +2

Bridge Matching (BM) learns a stochastic transport between two data distributions and is therefore a natural tool for data-to-data tasks such as video frame interpolation, image-to…

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

Entering the Era of Discrete Diffusion Models: A Benchmark for Schrödinger Bridges and Entropic Optimal Transport

Xavier Aramayo Carrasco, Grigoriy Ksenofontov, Aleksei Leonov +2

The Entropic Optimal Transport (EOT) problem and its dynamic counterpart, the Schrödinger bridge (SB) problem, play an important role in modern machine learning, linking generative…

stat.ML2025

Universal Inverse Distillation for Matching Models with Real-Data Supervision (No GANs)

Nikita Kornilov, David Li, Tikhon Mavrin +5

While achieving exceptional generative quality, modern diffusion, flow, and other matching models suffer from slow inference, as they require many steps of iterative generation. Re…

cs.LG2025

Overclocking Electrostatic Generative Models

Daniil Shlenskii, Alexander Korotin

Electrostatic generative models such as PFGM++ have recently emerged as a powerful framework, achieving competitive performance in image synthesis. PFGM++ operates in an extended d…

cs.IT2025

Exponential convergence rate for Iterative Markovian Fitting

Kirill Sokolov, Alexander Korotin

We consider the discrete-time Schrödinger bridge problem on a finite state space. Although it has been known that the Iterative Markovian Fitting (IMF) algorithm converges in Kullb…

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

Learning of Population Dynamics: Inverse Optimization Meets JKO Scheme

Mikhail Persiianov, Jiawei Chen, Petr Mokrov +3

Learning population dynamics involves recovering the underlying process that governs particle evolution, given evolutionary snapshots of samples at discrete time points. Recent met…

cs.LG2025

Risk-Averse Reinforcement Learning with Itakura-Saito Loss

Igor Udovichenko, Olivier Croissant, Anita Toleutaeva +2

Risk-averse reinforcement learning finds application in various high-stakes fields. Unlike classical reinforcement learning, which aims to maximize expected returns, risk-averse ag…

cs.CV2025★ 1 cited

One-Step Residual Shifting Diffusion for Image Super-Resolution via Distillation

Daniil Selikhanovych, David Li, Aleksei Leonov +6

Diffusion models for super-resolution (SR) produce high-quality visual results but require expensive computational costs. Despite the development of several methods to accelerate d…

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…

cs.LG2025

Categorical Schrödinger Bridge Matching

Grigoriy Ksenofontov, Alexander Korotin

The Schrödinger Bridge (SB) is a powerful framework for solving generative modeling tasks such as unpaired domain translation. Most SB-related research focuses on continuous data s…

cs.LG2025

InfoBridge: Mutual Information estimation via Bridge Matching

Sergei Kholkin, Ivan Butakov, Evgeny Burnaev +2

Diffusion bridge models have recently become a powerful tool in the field of generative modeling. In this work, we leverage their power to address another important problem in mach…

cs.LG2025

Inverse Bridge Matching Distillation

Nikita Gushchin, David Li, Daniil Selikhanovych +3

Learning diffusion bridge models is easy; making them fast and practical is an art. Diffusion bridge models (DBMs) are a promising extension of diffusion models for applications in…