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Saito & Matsubara (2025) Custom MNIST Diffusion Model

Research (Saito & Matsubara; custom-trained from scratch on MNIST, arXiv:2504.20288)

Structures found in this family (1)

Score-Jacobian pullback Riemannian metric

By model (1)

Custom diffusion model (MNIST, T=1000 steps)
Score-Jacobian pullback Riemannian metric

Observations (1)

A Riemannian metric derived directly from Stable Diffusion's own score-function Jacobian -- not pulled back from any assumed linear latent -- and geodesic-guided interpolation outperforms Lerp/Slerp baselines

Papers

Image Interpolation with Score-based Riemannian Metrics of Diffusion Models (2025)