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Main Authors: Chen, Yan-Ting, Chen, Hao-Wei, Hsiao, Tsu-Ching, Lee, Chun-Yi
Format: Preprint
Published: 2025
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Online Access:https://arxiv.org/abs/2507.10347
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author Chen, Yan-Ting
Chen, Hao-Wei
Hsiao, Tsu-Ching
Lee, Chun-Yi
author_facet Chen, Yan-Ting
Chen, Hao-Wei
Hsiao, Tsu-Ching
Lee, Chun-Yi
contents In this paper, we design an algorithm to accelerate the diffusion process on the $SO(3)$ manifold. The inherently sequential nature of diffusion models necessitates substantial time for denoising perturbed data. To overcome this limitation, we proposed to adapt the numerical Picard iteration for the $SO(3)$ space. We demonstrate our algorithm on an existing method that employs diffusion models to address the pose ambiguity problem. Moreover, we show that this acceleration advantage occurs without any measurable degradation in task reward. The experiments reveal that our algorithm achieves a speed-up of up to 4.9$\times$, significantly reducing the latency for generating a single sample.
format Preprint
id arxiv_https___arxiv_org_abs_2507_10347
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Parallel Sampling of Diffusion Models on $SO(3)$
Chen, Yan-Ting
Chen, Hao-Wei
Hsiao, Tsu-Ching
Lee, Chun-Yi
Machine Learning
In this paper, we design an algorithm to accelerate the diffusion process on the $SO(3)$ manifold. The inherently sequential nature of diffusion models necessitates substantial time for denoising perturbed data. To overcome this limitation, we proposed to adapt the numerical Picard iteration for the $SO(3)$ space. We demonstrate our algorithm on an existing method that employs diffusion models to address the pose ambiguity problem. Moreover, we show that this acceleration advantage occurs without any measurable degradation in task reward. The experiments reveal that our algorithm achieves a speed-up of up to 4.9$\times$, significantly reducing the latency for generating a single sample.
title Parallel Sampling of Diffusion Models on $SO(3)$
topic Machine Learning
url https://arxiv.org/abs/2507.10347