A probabilistic framework for learning geometry-based robot manipulation skills

Fares J. Abu-Dakka*, Yanlong Huang, João Silvério, Ville Kyrki

*Corresponding author for this work

Research output: Contribution to journalArticleScientificpeer-review

15 Citations (Scopus)
103 Downloads (Pure)


Programming robots to perform complex manipulation tasks is difficult because many tasks require sophisticated controllers that may rely on data such as manipulability ellipsoids, stiffness/damping and inertia matrices. Such data are naturally represented as Symmetric Positive Definite (SPD) matrices to capture specific geometric characteristics of the data, which increases the complexity of hard-coding them. To alleviate this difficulty, the Learning from Demonstration (LfD) paradigm can be used in order to learn robot manipulation skills with specific geometric constraints encapsulated in SPD matrices. Learned skills often need to be adapted when they are applied to new situations. While existing techniques can adapt Cartesian and joint space trajectories described by various desired points, the adaptation of motion skills encapsulated in SPD matrices remains an open problem. In this paper, we introduce a new LfD framework that can learn robot manipulation skills encapsulated in SPD matrices from expert demonstrations and adapt them to new situations defined by new start-, via- and end-matrices. The proposed approach leverages Kernelized Movement Primitives (KMPs) to generate SPD-based robot manipulation skills that smoothly adapt the demonstrations to conform to new constraints. We validate the proposed framework using a couple of simulations in addition to a real experiment scenario.

Original languageEnglish
Article number103761
Number of pages10
JournalRobotics and Autonomous Systems
Early online date6 Mar 2021
Publication statusPublished - Jul 2021
MoE publication typeA1 Journal article-refereed


  • Learning from demonstration
  • Variable impedance
  • Robot learning
  • Manipulability ellipsoids
  • Riemannian manifolds


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