Title
A Data-Efficient Geometrically Inspired Polynomial Kernel for Robot Inverse Dynamic
Abstract
In this letter, we introduce a novel data-driven inverse dynamics estimator based on Gaussian Process Regression. Driven by the fact that the inverse dynamics can be described as a polynomial function on a suitable input space, we propose the use of a novel kernel, called <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Geometrically Inspired Polynomial Kernel</italic> (GIP). The resulting estimator behaves similarly to model-based approaches as concerns data efficiency. Indeed, we proved that the GIP kernel defines a finite-dimensional Reproducing Kernel Hilbert Space that contains the inverse dynamics function computed through the Rigid Body Dynamics. The proposed kernel is based on the recently introduced <italic xmlns:mml="http://www.w3.org/1998/Math/MathML" xmlns:xlink="http://www.w3.org/1999/xlink">Multiplicative Polynomial Kernel</italic> , a redefinition of the classical polynomial kernel equipped with a set of parameters that allows for a higher regularization. We tested the proposed approach in a simulated environment, and also in real experiments with a UR10 robot. The obtained results confirm that, compared to other data-driven estimators, the proposed approach is more data-efficient and exhibits better generalization properties. Instead, with respect to model-based estimators, our approach requires less prior information and is not affected by model bias.
Year
DOI
Venue
2020
10.1109/LRA.2019.2945240
international conference on robotics and automation
Keywords
Field
DocType
Kernel,Ground penetrating radar,Robot kinematics,Mathematical model,Standards,Kinematics
Kernel (linear algebra),Inverse,Applied mathematics,Polynomial,Control theory,Polynomial kernel,Regularization (mathematics),Engineering,Inverse dynamics,Reproducing kernel Hilbert space,Estimator
Journal
Volume
Issue
ISSN
5
1
2377-3766
Citations 
PageRank 
References 
1
0.37
0
Authors
2
Name
Order
Citations
PageRank
Alberto Dalla Libera132.79
Ruggero Carli289469.17