Kernel Partial Least Squares for Stationary Data

Abstract

We consider the kernel partial least squares algorithm for non- parametric regression with stationary dependent data. Probabilistic convergence rates of the kernel partial least squares estimator to the true regression function are established under a source and an effective dimensionality condition. It is shown both theoretically and in simulations that long range dependence results in slower convergence rates. A protein dynamics example shows high predictive power of kernel partial least squares.

Cite

Text

Singer et al. "Kernel Partial Least Squares for Stationary Data." Journal of Machine Learning Research, 2017.

Markdown

[Singer et al. "Kernel Partial Least Squares for Stationary Data." Journal of Machine Learning Research, 2017.](https://mlanthology.org/jmlr/2017/singer2017jmlr-kernel/)

BibTeX

@article{singer2017jmlr-kernel,
  title     = {{Kernel Partial Least Squares for Stationary Data}},
  author    = {Singer, Marco and Krivobokova, Tatyana and Munk, Axel},
  journal   = {Journal of Machine Learning Research},
  year      = {2017},
  pages     = {1-41},
  volume    = {18},
  url       = {https://mlanthology.org/jmlr/2017/singer2017jmlr-kernel/}
}