Equivariant Diffusion Policy

Fuente: arXiv
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Autores principales: Wang, Dian, Hart, Stephen, Surovik, David, Kelestemur, Tarik, Huang, Haojie, Zhao, Haibo, Yeatman, Mark, Wang, Jiuguang, Walters, Robin, Platt, Robert
Formato: Preprint
Publicado: 2024
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author Wang, Dian
Hart, Stephen
Surovik, David
Kelestemur, Tarik
Huang, Haojie
Zhao, Haibo
Yeatman, Mark
Wang, Jiuguang
Walters, Robin
Platt, Robert
author_facet Wang, Dian
Hart, Stephen
Surovik, David
Kelestemur, Tarik
Huang, Haojie
Zhao, Haibo
Yeatman, Mark
Wang, Jiuguang
Walters, Robin
Platt, Robert
contents Recent work has shown diffusion models are an effective approach to learning the multimodal distributions arising from demonstration data in behavior cloning. However, a drawback of this approach is the need to learn a denoising function, which is significantly more complex than learning an explicit policy. In this work, we propose Equivariant Diffusion Policy, a novel diffusion policy learning method that leverages domain symmetries to obtain better sample efficiency and generalization in the denoising function. We theoretically analyze the $\mathrm{SO}(2)$ symmetry of full 6-DoF control and characterize when a diffusion model is $\mathrm{SO}(2)$-equivariant. We furthermore evaluate the method empirically on a set of 12 simulation tasks in MimicGen, and show that it obtains a success rate that is, on average, 21.9% higher than the baseline Diffusion Policy. We also evaluate the method on a real-world system to show that effective policies can be learned with relatively few training samples, whereas the baseline Diffusion Policy cannot.
format Preprint
id arxiv_https___arxiv_org_abs_2407_01812
institution arXiv
publishDate 2024
record_format arxiv
spellingShingle Equivariant Diffusion Policy
Wang, Dian
Hart, Stephen
Surovik, David
Kelestemur, Tarik
Huang, Haojie
Zhao, Haibo
Yeatman, Mark
Wang, Jiuguang
Walters, Robin
Platt, Robert
Robotics
Machine Learning
Recent work has shown diffusion models are an effective approach to learning the multimodal distributions arising from demonstration data in behavior cloning. However, a drawback of this approach is the need to learn a denoising function, which is significantly more complex than learning an explicit policy. In this work, we propose Equivariant Diffusion Policy, a novel diffusion policy learning method that leverages domain symmetries to obtain better sample efficiency and generalization in the denoising function. We theoretically analyze the $\mathrm{SO}(2)$ symmetry of full 6-DoF control and characterize when a diffusion model is $\mathrm{SO}(2)$-equivariant. We furthermore evaluate the method empirically on a set of 12 simulation tasks in MimicGen, and show that it obtains a success rate that is, on average, 21.9% higher than the baseline Diffusion Policy. We also evaluate the method on a real-world system to show that effective policies can be learned with relatively few training samples, whereas the baseline Diffusion Policy cannot.
title Equivariant Diffusion Policy
topic Robotics
Machine Learning
url https://arxiv.org/abs/2407.01812