InfoBridge: Mutual Information estimation via Bridge Matching

Fuente: arXiv
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Autori principali: Kholkin, Sergei, Butakov, Ivan, Burnaev, Evgeny, Gushchin, Nikita, Korotin, Alexander
Natura: Preprint
Pubblicazione: 2025
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author Kholkin, Sergei
Butakov, Ivan
Burnaev, Evgeny
Gushchin, Nikita
Korotin, Alexander
author_facet Kholkin, Sergei
Butakov, Ivan
Burnaev, Evgeny
Gushchin, Nikita
Korotin, Alexander
contents 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 framing MI estimation as a domain transfer problem, we construct an unbiased estimator for data posing difficulties for conventional MI estimators. We showcase the performance of our estimator on three standard MI estimation benchmarks, i.e., low-dimensional, image-based and high MI, and on real-world data, i.e., protein language model embeddings.
format Preprint
id arxiv_https___arxiv_org_abs_2502_01383
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle InfoBridge: Mutual Information estimation via Bridge Matching
Kholkin, Sergei
Butakov, Ivan
Burnaev, Evgeny
Gushchin, Nikita
Korotin, Alexander
Machine Learning
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 framing MI estimation as a domain transfer problem, we construct an unbiased estimator for data posing difficulties for conventional MI estimators. We showcase the performance of our estimator on three standard MI estimation benchmarks, i.e., low-dimensional, image-based and high MI, and on real-world data, i.e., protein language model embeddings.
title InfoBridge: Mutual Information estimation via Bridge Matching
topic Machine Learning
url https://arxiv.org/abs/2502.01383