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Diffusion models — the probability-flow ODE behind generative AI

fluid probability dynamics

Score-based generative models noise data toward a Gaussian and learn to reverse it. The 'probability-flow ODE' is the deterministic fluid whose time-marginals match the noising SDE — the same continuity equation, velocity set by the learned score ∇log p. It is the engine under modern image generation.

source
Concordance assay — 2026-07-08 · diffusion_models ↗
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