Geometry-aware RL for Manipulation of Varying Shapes and Deformable Objects

Published: 17 Jul 2025, Last Modified: 06 Sept 2025EWRL 2025 PosterEveryoneRevisionsBibTeXCC BY 4.0
Keywords: Robotic Manipulation, Equivariance, Graph Neural Networks, Reinforcement Learning, Deformable Objects
TL;DR: Geometry-aware RL with heterogeneous SE(3) equivariant back-bone policy for robotic manipulation
Abstract: Manipulating objects with varying geometries and deformable objects is a major challenge in robotics. Tasks such as insertion with different objects or cloth hanging require precise control and effective modelling of complex dynamics. In this work, we frame this problem through the lens of a heterogeneous graph that comprises smaller sub-graphs, such as actuators and objects, accompanied by different edge types describing their interactions. This graph representation serves as a unified structure for both rigid and deformable objects tasks, and can be extended further to tasks comprising multiple actuators. To evaluate this setup, we present a novel and challenging reinforcement learning benchmark, including rigid insertion of diverse objects, as well as rope and cloth manipulation with multiple end-effectors. These tasks present a large search space, as both the initial and target configurations are uniformly sampled in 3D space. To address this issue, we propose a novel graph-based policy model, dubbed Heterogeneous Equivariant Policy (HEPi), utilizing $SE(3)$ equivariant message passing networks as the main backbone to exploit the geometric symmetry. In addition, by modeling explicit heterogeneity, HEPi can outperform Transformer-based and non-heterogeneous equivariant policies in terms of average returns, sample efficiency, and generalization to unseen objects.
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Track: Fast Track: published work
Publication Link: https://openreview.net/forum?id=7BLXhmWvwF
Submission Number: 68
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