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Free, publicly-accessible full text available May 6, 2026
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Zhao, Linfeng; Howell, Owen; Zhu, Xupeng; Park, Jung Yeon; Zhang, Zhewen; Walters, Robin; Wong, Lawson LS (, Workshop on the Algorithmic Foundations of Robotics (WAFR))
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Xu, Chengguang; Amato, Christopher; Wong, Lawson LS (, IEEE)
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Zhao, Linfeng; Li, Hongyu; Padir, Taskin; Jiang, Huaizu; Wong, Lawson LS (, IEEE Robotics and Automation Letters)
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Zhao, Linfeng; Howell, Owen; Zhu, Xupeng; Park, Jung Yeon; Zhang, Zhewen; Walters, Robin; Wong, Lawson LS (, Workshop on the Algorithmic Foundations of Robotics)
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Zhao, Linfeng; Zhu, Xupeng; Kong, Lingzhi; Waltes, Robin; Wong, Lawson LS (, International Conference on Learning Representations)To achieve this, we draw inspiration from equivariant convolution networks and model the path planning problem as a set of signals over grids. We demonstrate that value iteration can be treated as a linear equivariant operator, which is effectively a steerable convolution. Building upon Value Iteration Networks (VIN), we propose a new Symmetric Planning (SymPlan) framework that incorporates rotation and reflection symmetry using steerable convolution networks. We evaluate our approach on four tasks: 2D navigation, visual navigation, 2 degrees of freedom (2-DOF) configuration space manipulation, and 2-DOF workspace manipulation. Our experimental results show that our symmetric planning algorithms significantly improve training efficiency and generalization performance compared to non-equivariant baselines, including VINs and GPPN.more » « less
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