English

Aligning Manifolds of Double Pendulum Dynamics Under the Influence of Noise

Machine Learning 2018-11-26 v2 Machine Learning

Abstract

This study presents the results of a series of simulation experiments that evaluate and compare four different manifold alignment methods under the influence of noise. The data was created by simulating the dynamics of two slightly different double pendulums in three-dimensional space. The method of semi-supervised feature-level manifold alignment using global distance resulted in the most convincing visualisations. However, the semi-supervised feature-level local alignment methods resulted in smaller alignment errors. These local alignment methods were also more robust to noise and faster than the other methods.

Keywords

Cite

@article{arxiv.1809.06992,
  title  = {Aligning Manifolds of Double Pendulum Dynamics Under the Influence of Noise},
  author = {Fayeem Aziz and Aaron S. W. Wong and James S. Welsh and Stephan K. Chalup},
  journal= {arXiv preprint arXiv:1809.06992},
  year   = {2018}
}

Comments

The final version will appear in ICONIP 2018. A DOI identifier to the final version will be added to the preprint, as soon as it is available