Sequential Bayesian Kernel Regression

Abstract

We propose a method for sequential Bayesian kernel regression. As is the case for the popular Relevance Vector Machine (RVM) [10, 11], the method automatically identifies the number and locations of the kernels. Our algorithm overcomes some of the computational difficulties related to batch methods for kernel regression. It is non-iterative, and requires only a single pass over the data. It is thus applicable to truly sequen- tial data sets and batch data sets alike. The algorithm is based on a generalisation of Importance Sampling, which allows the design of in- tuitively simple and efficient proposal distributions for the model param- eters. Comparative results on two standard data sets show our algorithm to compare favourably with existing batch estimation strategies.

Cite

Text

Vermaak et al. "Sequential Bayesian Kernel Regression." Neural Information Processing Systems, 2003.

Markdown

[Vermaak et al. "Sequential Bayesian Kernel Regression." Neural Information Processing Systems, 2003.](https://mlanthology.org/neurips/2003/vermaak2003neurips-sequential/)

BibTeX

@inproceedings{vermaak2003neurips-sequential,
  title     = {{Sequential Bayesian Kernel Regression}},
  author    = {Vermaak, Jaco and Godsill, Simon J. and Doucet, Arnaud},
  booktitle = {Neural Information Processing Systems},
  year      = {2003},
  pages     = {113-120},
  url       = {https://mlanthology.org/neurips/2003/vermaak2003neurips-sequential/}
}