Score Matching

Why it matters

Score matching underlies diffusion theory. Understanding shapes fundamentals.

The architecture

Nabla log p(x): score function.

Denoising score matching: perturb + predict noise.

Equivalent to diffusion training.

How it works end to end

Denoising score matching (DSM).

Score = -noise / sigma up to constant.

Yang Song's noise-conditional score networks (NCSN).