Diffusion models suffer critical slowing down when sampling near criticality in the O(n) model but deeper local architectures reduce training-time scaling from quadratic to logarithmic in system size.
1 ∆t − e−2t ∆2 t 1 KˆΛ(⃗k) # −inV 1 (2π)d Z dd⃗k ˆI(⃗k)I(⃗k) +i nX a=1 1 (2π)d Z dd⃗k ˆI(⃗k) ˜φa(⃗k) ˜φa(−⃗k). (A48) The integral over theφfields then yields: Z Dφexp
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The critical slowing down in diffusion models
Diffusion models suffer critical slowing down when sampling near criticality in the O(n) model but deeper local architectures reduce training-time scaling from quadratic to logarithmic in system size.