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POIL: Point-based One-Shot Imitation Learning with Stable Dynamical Systems

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arXiv:2609.30404v1 Announce Type: new Abstract: We present POIL, a point-based one-shot imitation learning framework with stable dynamical systems. While one-shot imitation avoids collecting extensive demonstrations, successful one-shot manipulation requires not only transferring a demonstrated trajectory to a novel object but also executing it robustly under changing scene conditions, grasp configurations, and external disturbances. POIL addresses both problems through a shared representation: a set of 3D points on the object's functional part, used jointly for trajectory transfer and closed-loop execution. The one-shot transfer from the demonstrated trajectory is enabled with point correspondences. POIL grounds the shared functional part with a multi-modal large language model, and tran…

SourcearXiv RoboticsAuthor: Sang Min Kim, Jinwoo Seo, Hyeongjun Heo, Junho Lee, Yonghyeon Lee, Young Min Kim
POIL: Point-based One-Shot Imitation Learning with Stable Dynamical Systems
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[Submitted on 24 Sep 2026]

Title:POIL: Point-based One-Shot Imitation Learning with Stable Dynamical Systems

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Abstract:We present POIL, a point-based one-shot imitation learning framework with stable dynamical systems. While one-shot imitation avoids collecting extensive demonstrations, successful one-shot manipulation requires not only transferring a demonstrated trajectory to a novel object but also executing it robustly under changing scene conditions, grasp configurations, and external disturbances. POIL addresses both problems through a shared representation: a set of 3D points on the object's functional part, used jointly for trajectory transfer and closed-loop execution. The one-shot transfer from the demonstrated trajectory is enabled with point correspondences. POIL grounds the shared functional part with a multi-modal large language model, and transfers the trajectory across viewpoint, pose, and object category changes. During execution, multi-view tracking observes the same points online, and Point-set BCSDM drives them in closed loop by projecting per-point velocities onto a single rigid-body twist computed from the tracked points alone. This extends stable dynamical models from an SE(3) pose to a point set without requiring a known 3D model or pose estimator. We show that at the goal the controller becomes a gradient flow on the classical SO(3) potential, so its terminal phase inherits the almost-global convergence of that potential under a rigid-object assumption. Across simulation and real-robot experiments, POIL transfers a single demonstration across object category, grasp pose, and goal geometry, while recovering from external disturbances during execution. Project page: this https URL

Comments: 9 pages, 11 figures, project page: this https URL

Subjects:

Robotics (cs.RO)

Cite as: arXiv:2609.30404 [cs.RO]

(or arXiv:2609.30404v1 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2609.30404

arXiv-issued DOI via DataCite (pending registration)

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From: Sang Min Kim [view email] [v1] Thu, 24 Sep 2026 18:07:38 UTC (2,905 KB)

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  • AI generation is temporarily unavailable; this entry was preserved with deterministic fallback metadata.
  • arXiv:2609.30404v1 Announce Type: new Abstract: We present POIL, a point-based one-shot imitation learning framework with stable dynamical systems. While one-shot imitation avoids…

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