A Chebyshev-Gauss-Seidel higher-order sampler achieves d^{1+o(1)} ε^{-1/K} score complexity for TV distance ε under polynomial second-moment assumptions on the target.
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Higher-order Diffusion Sampling via Chebyshev Interpolation and Gauss--Seidel Iterations
A Chebyshev-Gauss-Seidel higher-order sampler achieves d^{1+o(1)} ε^{-1/K} score complexity for TV distance ε under polynomial second-moment assumptions on the target.