Eq.Bot: Enhance Robotic Manipulation Learning via Group Equivariant Canonicalization

Fuente: arXiv
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Autori principali: Deng, Jian, Wang, Yuandong, Zhu, Yangfu, Feng, Tao, Wo, Tianyu, Shao, Zhenzhou
Natura: Preprint
Pubblicazione: 2025
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author Deng, Jian
Wang, Yuandong
Zhu, Yangfu
Feng, Tao
Wo, Tianyu
Shao, Zhenzhou
author_facet Deng, Jian
Wang, Yuandong
Zhu, Yangfu
Feng, Tao
Wo, Tianyu
Shao, Zhenzhou
contents Robotic manipulation systems are increasingly deployed across diverse domains. Yet existing multi-modal learning frameworks lack inherent guarantees of geometric consistency, struggling to handle spatial transformations such as rotations and translations. While recent works attempt to introduce equivariance through bespoke architectural modifications, these methods suffer from high implementation complexity, computational cost, and poor portability. Inspired by human cognitive processes in spatial reasoning, we propose Eq.Bot, a universal canonicalization framework grounded in SE(2) group equivariant theory for robotic manipulation learning. Our framework transforms observations into a canonical space, applies an existing policy, and maps the resulting actions back to the original space. As a model-agnostic solution, Eq.Bot aims to endow models with spatial equivariance without requiring architectural modifications. Extensive experiments demonstrate the superiority of Eq.Bot under both CNN-based (e.g., CLIPort) and Transformer-based (e.g., OpenVLA-OFT) architectures over existing methods on various robotic manipulation tasks, where the most significant improvement can reach 50.0%.
format Preprint
id arxiv_https___arxiv_org_abs_2511_15194
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Eq.Bot: Enhance Robotic Manipulation Learning via Group Equivariant Canonicalization
Deng, Jian
Wang, Yuandong
Zhu, Yangfu
Feng, Tao
Wo, Tianyu
Shao, Zhenzhou
Robotics
Artificial Intelligence
68T40 (Primary), 68T07, 93C85, 20C35 (Secondary)
Robotic manipulation systems are increasingly deployed across diverse domains. Yet existing multi-modal learning frameworks lack inherent guarantees of geometric consistency, struggling to handle spatial transformations such as rotations and translations. While recent works attempt to introduce equivariance through bespoke architectural modifications, these methods suffer from high implementation complexity, computational cost, and poor portability. Inspired by human cognitive processes in spatial reasoning, we propose Eq.Bot, a universal canonicalization framework grounded in SE(2) group equivariant theory for robotic manipulation learning. Our framework transforms observations into a canonical space, applies an existing policy, and maps the resulting actions back to the original space. As a model-agnostic solution, Eq.Bot aims to endow models with spatial equivariance without requiring architectural modifications. Extensive experiments demonstrate the superiority of Eq.Bot under both CNN-based (e.g., CLIPort) and Transformer-based (e.g., OpenVLA-OFT) architectures over existing methods on various robotic manipulation tasks, where the most significant improvement can reach 50.0%.
title Eq.Bot: Enhance Robotic Manipulation Learning via Group Equivariant Canonicalization
topic Robotics
Artificial Intelligence
68T40 (Primary), 68T07, 93C85, 20C35 (Secondary)
url https://arxiv.org/abs/2511.15194