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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

TUBE: Tangent Upper Bound on Evidence for Discrete Diffusion Language Models

Arseny Ivanov, Sergei Kholkin, Vladislav Gromadskii +3

Log-likelihood is a standard metric for evaluating generative models. Unfortunately, in contrast to autoregressive models (ARMs), discrete diffusion models generally do not admit e…

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.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

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.LG2024

Diffusion & Adversarial Schrödinger Bridges via Iterative Proportional Markovian Fitting

Sergei Kholkin, Grigoriy Ksenofontov, David Li +6

The Iterative Markovian Fitting (IMF) procedure, which iteratively projects onto the space of Markov processes and the reciprocal class, successfully solves the Schrödinger Bridge…

cs.LG2024

Adversarial Schrödinger Bridge Matching

Nikita Gushchin, Daniil Selikhanovych, Sergei Kholkin +2

The Schrödinger Bridge (SB) problem offers a powerful framework for combining optimal transport and diffusion models. A promising recent approach to solve the SB problem is the Ite…

cs.LG2024

Light and Optimal Schrödinger Bridge Matching

Nikita Gushchin, Sergei Kholkin, Evgeny Burnaev +1

Schrödinger Bridges (SB) have recently gained the attention of the ML community as a promising extension of classic diffusion models which is also interconnected to the Entropic Op…