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Main Authors: Lee, Qian Ying, Kulkarni, Suhas Raghavendra, Wong, Kenzhi Iskandar, Yang, Lin, Noronha, Bernardo, Wee, Yongjun, Campolo, Domenico
Format: Preprint
Published: 2025
Subjects:
Online Access:https://arxiv.org/abs/2503.05619
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author Lee, Qian Ying
Kulkarni, Suhas Raghavendra
Wong, Kenzhi Iskandar
Yang, Lin
Noronha, Bernardo
Wee, Yongjun
Campolo, Domenico
author_facet Lee, Qian Ying
Kulkarni, Suhas Raghavendra
Wong, Kenzhi Iskandar
Yang, Lin
Noronha, Bernardo
Wee, Yongjun
Campolo, Domenico
contents Generalizing robot trajectories from human demonstrations to new contexts remains a key challenge in Learning from Demonstration (LfD), particularly when only single-context demonstrations are available. We present a novel Gaussian Mixture Model (GMM)-based approach that enables systematic generalization from single-context demonstrations to a wide range of unseen start and goal configurations. Our method performs component-level reparameterization of the GMM, adapting both mean vectors and covariance matrices, followed by Gaussian Mixture Regression (GMR) to generate smooth trajectories. We evaluate the approach on a dual-arm pick-and-place task with varying box placements, comparing against several baselines. Results show that our method significantly outperforms baselines in trajectory success and fidelity, maintaining accuracy even under combined translational and rotational variations of task configurations. These results demonstrate that our method generalizes effectively while ensuring boundary convergence and preserving the intrinsic structure of demonstrated motions.
format Preprint
id arxiv_https___arxiv_org_abs_2503_05619
institution arXiv
publishDate 2025
record_format arxiv
spellingShingle Generalizing Robot Trajectories from Single-Context Human Demonstrations: A Probabilistic Approach
Lee, Qian Ying
Kulkarni, Suhas Raghavendra
Wong, Kenzhi Iskandar
Yang, Lin
Noronha, Bernardo
Wee, Yongjun
Campolo, Domenico
Robotics
Generalizing robot trajectories from human demonstrations to new contexts remains a key challenge in Learning from Demonstration (LfD), particularly when only single-context demonstrations are available. We present a novel Gaussian Mixture Model (GMM)-based approach that enables systematic generalization from single-context demonstrations to a wide range of unseen start and goal configurations. Our method performs component-level reparameterization of the GMM, adapting both mean vectors and covariance matrices, followed by Gaussian Mixture Regression (GMR) to generate smooth trajectories. We evaluate the approach on a dual-arm pick-and-place task with varying box placements, comparing against several baselines. Results show that our method significantly outperforms baselines in trajectory success and fidelity, maintaining accuracy even under combined translational and rotational variations of task configurations. These results demonstrate that our method generalizes effectively while ensuring boundary convergence and preserving the intrinsic structure of demonstrated motions.
title Generalizing Robot Trajectories from Single-Context Human Demonstrations: A Probabilistic Approach
topic Robotics
url https://arxiv.org/abs/2503.05619