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This research advances bimanual robot manipulation by unifying the learning of symbolic task structures with precise timing parameters derived from human demonstrations. By combining multivariate Gaussian Mixture Models for subsymbolic timing with logical constraint solvers, the approach bridges the gap between high-level planning and low-level movement synchronization. The method yields plans that are both temporally closer to human performance and logically consistent, offering a significant step forward in autonomous dual-arm coordination.
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Unified Learning of Temporal Task Structure and Action Timing for Bimanual Robot Manipulation

arXiv3 min read

arXiv:2603.06538v2 Announce Type: replace Abstract: Bimanual manipulation requires both temporal task structure - which actions precede or overlap others - and concrete timing - when each action starts and how long it takes. Symbolic relations enable high-level reasoning about task structure and alternative execution sequences, while concrete timing parameters are essential for coordinating two hands at the execution level. Existing approaches address these two levels in isolation, leaving a gap between task planning and movement synchronization. This work presents an approach for learning symbolic and subsymbolic temporal task constraints from human demonstrations and deriving executable, temporally parametrized plans for bimanual manipulation. Specifically, our contributions are (i) a 3-D representation of timings with methods based on multivariate Gaussian Mixture Models to represent temporal relationships between actions on a subsymbolic level, (ii) a method based on the Davis-Putnam-Logemann-Loveland algorithm that finds and ranks all contradiction-free Allen relation assignments of a task, representing its modes, and (iii) an optimization-based planning system combining the identified symbolic and subsymbolic temporal task constraints to derive parametrized plans for robot execution. We quantitatively evaluate our approach and show that the inferred symbolic task constraints are more accurate than those of prior heuristic approaches and that the generated plans are temporally closer to human demonstrations than the most characteristic demonstration. Additionally, we qualitatively demonstrate its applicability through orchestrated task executions in simulation and on real robots.

Abstract:Bimanual manipulation requires both temporal task structure - which actions precede or overlap others - and concrete timing - when each action starts and how long it takes. Symbolic relations enable high-level reasoning about task structure and alternative execution sequences, while concrete timing parameters are essential for coordinating two hands at the execution level. Existing approaches address these two levels in isolation, leaving a gap between task planning and movement synchronization. This work presents an approach for learning symbolic and subsymbolic temporal task constraints from human demonstrations and deriving executable, temporally parametrized plans for bimanual manipulation. Specifically, our contributions are (i) a 3-D representation of timings with methods based on multivariate Gaussian Mixture Models to represent temporal relationships between actions on a subsymbolic level, (ii) a method based on the Davis-Putnam-Logemann-Loveland algorithm that finds and ranks all contradiction-free Allen relation assignments of a task, representing its modes, and (iii) an optimization-based planning system combining the identified symbolic and subsymbolic temporal task constraints to derive parametrized plans for robot execution. We quantitatively evaluate our approach and show that the inferred symbolic task constraints are more accurate than those of prior heuristic approaches and that the generated plans are temporally closer to human demonstrations than the most characteristic demonstration. Additionally, we qualitatively demonstrate its applicability through orchestrated task executions in simulation and on real robots.

Robotics (cs.RO)

arXiv:2603.06538 [cs.RO]

(or arXiv:2603.06538v2 [cs.RO] for this version)

https://doi.org/10.48550/arXiv.2603.06538 Focus to learn more arXiv-issued DOI via DataCite

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Full text under the publisher's open licence · 314 words

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