FMMI: Flow Matching Mutual Information Estimation

Ivan Butakov, Alexander Semenenko, Alexey Frolov, Ivan Oseledets
11/11/2025
cs.LGcs.IT

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Abstract

We introduce a novel Mutual Information (MI) estimator that fundamentally reframes the discriminative approach. Instead of training a classifier to discriminate between joint and marginal distributions, we learn a normalizing flow that transforms one into the other. This technique produces a computationally efficient and precise MI estimate that scales well to high dimensions and across a wide range of ground-truth MI values.

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Cite this paper

@article{butakov2025fmmi,
  title  = {FMMI: Flow Matching Mutual Information Estimation},
  author = {Ivan Butakov and Alexander Semenenko and Alexey Frolov and Ivan Oseledets},
  year   = {2025},
  eprint = {2511.08552},
  archivePrefix = {arXiv},
  url    = {http://arxiv.org/abs/2511.08552v1}
}

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