Bayesian Extensions of Kernel Least Mean Squares. Park, I. M., Seth, S., & Van Vaerenbergh, S. ArXiv e-prints, October, 2013.
Bayesian Extensions of Kernel Least Mean Squares [link]Paper  abstract   bibtex   
The kernel least mean squares (KLMS) algorithm is a computationally efficient nonlinear adaptive filtering method that "kernelizes" the celebrated (linear) least mean squares algorithm. We demonstrate that the least mean squares algorithm is closely related to the Kalman filtering, and thus, the KLMS can be interpreted as an approximate Bayesian filtering method. This allows us to systematically develop extensions of the KLMS by modifying the underlying state-space and observation models. The resulting extensions introduce many desirable properties such as "forgetting", and the ability to learn from discrete data, while retaining the computational simplicity and time complexity of the original algorithm.
@ARTICLE{Park2013g,
  author = {Park, Il Memming and Seth, Sohan and Van Vaerenbergh, Steven},
  title = {{Bayes}ian Extensions of Kernel Least Mean Squares},
  journal = {ArXiv e-prints},
  year = {2013},
  month = oct,
  abstract = {The kernel least mean squares ({KLMS}) algorithm is a computationally
	efficient nonlinear adaptive filtering method that "kernelizes" the
	celebrated (linear) least mean squares algorithm. We demonstrate
	that the least mean squares algorithm is closely related to the Kalman
	filtering, and thus, the {KLMS} can be interpreted as an approximate
	Bayesian filtering method. This allows us to systematically develop
	extensions of the {KLMS} by modifying the underlying state-space
	and observation models. The resulting extensions introduce many desirable
	properties such as "forgetting", and the ability to learn from discrete
	data, while retaining the computational simplicity and time complexity
	of the original algorithm.},
  archiveprefix = {arXiv},
  citeulike-article-id = {12732257},
  citeulike-linkout-0 = {http://arxiv.org/abs/1310.5347},
  citeulike-linkout-1 = {http://arxiv.org/pdf/1310.5347},
  day = {20},
  eprint = {1310.5347},
  keywords = {adaptive-filter, bayesian, kernel-method, klms, online-algorithm,
	poisson-observation},
  posted-at = {2013-10-23 12:18:03},
  primaryclass = {st.ML},
  priority = {0},
  url = {http://arxiv.org/abs/1310.5347}
}

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