hyperToroidalGP

This repository contains the implementation of defining Gaussian processes on hypertoroidal manifolds. Detailed information can be found in our paper on arXiv.

The work has been publlished on 2024 European Control Conference (ECC).

BibTex Citation

Thank you for citing our paper if you use any of this code:

@InProceedings{ECC24_Cao,
  title={Gaussian Process on the Product of Directional Manifolds},
  author={Cao, Ziyu and Li, Kailai},
  booktitle={Proceedings of the 2024 European Control Conference},
  month={June},
  year={2024}
}

Dependencies

• Manopt
• libDirectional

Usage

• For the example of the Gaussian process on the unit circle, run the script examples/GPonCircleExample.m.
• For the example of the Gaussian process on the hypertorus, first run the script examples/recursiveLocalizationTraining.m and then examples/recursiveLocalizationTest.m for training data and testing, respectively.

Contributors

Ziyu Cao (email: ziyu.cao@liu.se)

Kailai Li (email: kailai.li@rug.nl)

License

The source code is released under GPLv3 license.

We are constantly working on improving our code. For any technical issues, please contact Ziyu Cao (ziyu.cao@liu.se).