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Jiaqi Han
2026-03-01 23:37:43 -08:00
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@@ -16,7 +16,7 @@ Jiaqi Han* $^1$, Juntong Shi* $^1$, Puheng Li $^1$, Haotian Ye $^1$, Qiushan Guo
## 🎯 Overview
we propose *Spectrum*, a training-free spectral diffusion feature forecaster that enables global, long-range feature reuse with tightly controlled error. We view the latent features of the denoiser as functions over time and approximate them with Chebyshev polynomials. Specifically, we fit the coefficient for each basis via ridge regression, which is then leveraged to forecast features at multiple future diffusion steps. We theoretically reveal that our approach admits more favorable long-horizon behavior and yields an error bound that does not compound with the step size.
We propose *Spectrum*, a training-free *spectral* diffusion feature forecaster that enables global, long-range feature reuse with tightly controlled error. We view the latent features of the denoiser as functions over time and approximate them with *Chebyshev polynomials*. Specifically, we fit the coefficient for each basis via ridge regression, which is then leveraged to forecast features at multiple future diffusion steps. We theoretically reveal that our approach admits more favorable long-horizon behavior and yields an error bound that does not compound with the step size.
Extensive experiments on various state-of-the-art image and video diffusion models consistently verify the superiority of our approach. Notably, we achieve up to $4.79\times$ speedup on FLUX.1 and $4.67\times$ speedup on Wan2.1-14B, while maintaining much higher sample quality compared with the baselines.