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A Diffusion Sampler Trains on Its Own Field Configurations

A target-score identity removes the need for reference samples in a lattice-field experiment.

Published Updated Story ID: mp-2026-10-14-016
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Summary

A target-score identity removes the need for reference samples in a lattice-field experiment.

The authors train diffusion models from their own generated samples when the unnormalized target density is available. In two-dimensional phi-four theory, selected importance-weighted and fixed-point variants matched training based on Hamiltonian Monte Carlo reference data. The claim is limited to the evaluated field theory.

Why it matters

A target-score identity removes the need for reference samples in a lattice-field experiment.

Limits and context

No additional limitation was separately recorded.

Key claims

  1. A target-score identity removes the need for reference samples in a lattice-field experiment.

    Evidence: source-2026-10-14-018

Sources

  1. arXiv preprint 2610.18863, original v1arXiv / submitting research authors · primary research

Corrections

No corrections have been recorded for this story.