Differentiable Solver Search for Fast Diffusion Sampling

Fuente: arXiv
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Autores principales: Wang, Shuai, Li, Zexian, zhang, Qipeng, Song, Tianhui, Li, Xubin, Ge, Tiezheng, Zheng, Bo, Wang, Limin
Formato: Preprint
Publicado: 2025
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author Wang, Shuai
Li, Zexian
zhang, Qipeng
Song, Tianhui
Li, Xubin
Ge, Tiezheng
Zheng, Bo
Wang, Limin
author_facet Wang, Shuai
Li, Zexian
zhang, Qipeng
Song, Tianhui
Li, Xubin
Ge, Tiezheng
Zheng, Bo
Wang, Limin
contents Diffusion models have demonstrated remarkable generation quality but at the cost of numerous function evaluations. Recently, advanced ODE-based solvers have been developed to mitigate the substantial computational demands of reverse-diffusion solving under limited sampling steps. However, these solvers, heavily inspired by Adams-like multistep methods, rely solely on t-related Lagrange interpolation. We show that t-related Lagrange interpolation is suboptimal for diffusion model and reveal a compact search space comprised of time steps and solver coefficients. Building on our analysis, we propose a novel differentiable solver search algorithm to identify more optimal solver. Equipped with the searched solver, rectified-flow models, e.g., SiT-XL/2 and FlowDCN-XL/2, achieve FID scores of 2.40 and 2.35, respectively, on ImageNet256 with only 10 steps. Meanwhile, DDPM model, DiT-XL/2, reaches a FID score of 2.33 with only 10 steps. Notably, our searched solver outperforms traditional solvers by a significant margin. Moreover, our searched solver demonstrates generality across various model architectures, resolutions, and model sizes.
format Preprint
id arxiv_https___arxiv_org_abs_2505_21114
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Differentiable Solver Search for Fast Diffusion Sampling
Wang, Shuai
Li, Zexian
zhang, Qipeng
Song, Tianhui
Li, Xubin
Ge, Tiezheng
Zheng, Bo
Wang, Limin
Computer Vision and Pattern Recognition
Diffusion models have demonstrated remarkable generation quality but at the cost of numerous function evaluations. Recently, advanced ODE-based solvers have been developed to mitigate the substantial computational demands of reverse-diffusion solving under limited sampling steps. However, these solvers, heavily inspired by Adams-like multistep methods, rely solely on t-related Lagrange interpolation. We show that t-related Lagrange interpolation is suboptimal for diffusion model and reveal a compact search space comprised of time steps and solver coefficients. Building on our analysis, we propose a novel differentiable solver search algorithm to identify more optimal solver. Equipped with the searched solver, rectified-flow models, e.g., SiT-XL/2 and FlowDCN-XL/2, achieve FID scores of 2.40 and 2.35, respectively, on ImageNet256 with only 10 steps. Meanwhile, DDPM model, DiT-XL/2, reaches a FID score of 2.33 with only 10 steps. Notably, our searched solver outperforms traditional solvers by a significant margin. Moreover, our searched solver demonstrates generality across various model architectures, resolutions, and model sizes.
title Differentiable Solver Search for Fast Diffusion Sampling
topic Computer Vision and Pattern Recognition
url https://arxiv.org/abs/2505.21114