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Sergei Kholkin

4 accepted papers

2026

Diffusion & Adversarial Schrödinger Bridges via Iterative Proportional Markovian Fitting

Sergei Kholkin, Grigoriy Ksenofontov, David Li, Nikita Maksimovich Kornilov, Nikita Gushchin, Alexandra Suvorikova +3
ICLR 2026poster

The Iterative Markovian Fitting (IMF) procedure, which iteratively projects onto the space of Markov processes and the reciprocal class, successfully solves the Schrödinger Bridge (SB) problem. However, an efficient practical implementation requires a heuristic modification-alternating between fitti…

Cited by 0Source ↗code ↗Scholar ↗
2026

InfoBridge: Mutual Information estimation via Bridge Matching

Sergei Kholkin, Ivan Butakov, Evgeny Burnaev, Nikita Gushchin, Alexander Korotin
ICLR 2026poster

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 machine learning and information theory, the estimation of the mutual information (MI) between two random variables. Neatly…

Cited by 0Source ↗code ↗Scholar ↗
2024

Adversarial Schrödinger Bridge Matching

Nikita Gushchin, Daniil Selikhanovych, Sergei Kholkin, Evgeny Burnaev, Alexander Korotin
NeurIPS 2024poster

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 Iterative Markovian Fitting (IMF) procedure, which alternates between Markovian and reciprocal projections of continuous-ti…

Cited by 5Source ↗PDF ↗code ↗Scholar ↗
2024

Light and Optimal Schrödinger Bridge Matching

Nikita Gushchin, Sergei Kholkin, Evgeny Burnaev, Alexander Korotin
ICML 2024poster

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 Optimal Transport (EOT). Recent solvers for SB exploit the pervasive bridge matching procedures. Such procedures aim to re…

Cited by 12Source ↗PDF ↗code ↗Scholar ↗