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#artificial intelligence Preprint Sep 2026

From Modes to Memories: Characterizing the Scale-Space Dynamics of Diffusion Models

Diffusion models are typically viewed as stochastic processes that transform noise into data. We take a complementary perspective: a diffusion model defines a family of deterministic dynamical systems indexed by noise scale. At each fixed scale $\sigma$, we treat the denoiser as a self-map and study its dynamics. For a...

C. Amado, Marco Fumero, Francesco Locatello · 0 citations

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