arXiv Machine Learning June 5, 2026 By Na\"il B. Khelifa, Richard E. Turner, Ramji Venkataramanan

Diffusion Models Observe Only Gradients: A Geometric Perspective on Score Matching Errors

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arXiv:2606. 06179v1 Announce Type: cross Abstract: Score-based diffusion models are typically trained by minimizing the $L^2$ score matching error, and standard theoretical analyses rely on this quantity to bound the sampling discrepancy between the learned and target distributions.

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