ResearchResearch paperLarge Language Models · Interpretability1 source · Oct 17, 2026

BEM: Learning Bregman Divergences for Concept Erasure in Flow Matching Models

We introduce BEM (Bregman erasure matching), which is, to our knowledge, the first to learn this divergence through bi-level optimization, so that the fine-tuned model forgets the concept on unseen prompts while its unrelated generations stay unchanged.

Key points

  • Concept erasure removes harmful, private, or copyrighted concepts from text-to-image models while preserving their other abilities.
  • Leading models such as FLUX and Stable Diffusion 3 are trained with flow matching, and erasure methods for them fine-tune the model toward a guided teacher's velocities under a Euclidean loss.
  • Yet the squared distance is only one member of a larger family: Bregman divergences are exactly the losses under which flow matching recovers the correct velocity field, and each member shapes differently what is erased and what is preserved.
  • In the experiments we target the suppression of nudity, violence, real identities, and copyrighted characters.

Sources (1)

  • [1]BEM: Learning Bregman Divergences for Concept Erasure in Flow Matching Models
    arXiv (AI, ML, NLP, CV, robotics, multi-agent) · Oct 17, 07:07 AM
    We introduce BEM (Bregman erasure matching), which is, to our knowledge, the first to learn this divergence through bi-level optimization, so that the fine-tuned model forgets the concept on unseen prompts while its unrelated generations stay unchanged.
    Concept erasure removes harmful, private, or copyrighted concepts from text-to-image models while preserving their other abilities.

Extractive summary: sentences quoted from the sources.

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  6. Oct 15, 2026MOSS: Mode-Oriented Source Shaping for Robot Flow Matching Policies

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