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Paper · arXiv

Renormalization Group Flow Matching for Scalable Local Generative Modeling

Despite their remarkable success in modeling complex data, generative models face a fundamental tradeoff. Global approaches can capture full structural coherence but suffer from high computational costs, while local models are efficient but often fail to reproduce long-range correlations and global coherence. The renormalization group (RG) bridges this gap by seamlessly connecting spatial structures across different length scales, retaining quasi-local descriptions at each step while preserving long-range correlations. We introduce renormalization group flow matching (RGFM), a generative framework that systematically structures data generation across different spatial scales. By using an ...

AuthorsKanta Masuki, Yuto Ashida
Primary categorycs.LG
Published24 August 2026
Last updated at source24 August 2026
cs.LGcond-mat.stat-mech
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