English

Invariants of multidimensional time series based on their iterated-integral signature

Computer Vision and Pattern Recognition 2018-05-10 v2 Representation Theory

Abstract

We introduce a novel class of features for multidimensional time series, that are invariant with respect to transformations of the ambient space. The general linear group, the group of rotations and the group of permutations of the axes are considered. The starting point for their construction is Chen's iterated-integral signature.

Keywords

Cite

@article{arxiv.1801.06104,
  title  = {Invariants of multidimensional time series based on their iterated-integral signature},
  author = {Joscha Diehl and Jeremy Reizenstein},
  journal= {arXiv preprint arXiv:1801.06104},
  year   = {2018}
}

Comments

complete rewrite of Section 3.3