A New Perspective on an Old Perceptron Algorithm

Abstract

We present a generalization of the Perceptron algorithm. The new algorithm performs a Perceptron-style update whenever the margin of an example is smaller than a predefined value. We derive worst case mistake bounds for our algorithm. As a byproduct we obtain a new mistake bound for the Perceptron algorithm in the inseparable case. We describe a multiclass extension of the algorithm. This extension is used in an experimental evaluation in which we compare the proposed algorithm to the Perceptron algorithm.

Cite

Text

Shalev-Shwartz and Singer. "A New Perspective on an Old Perceptron Algorithm." Annual Conference on Computational Learning Theory, 2005. doi:10.1007/11503415_18

Markdown

[Shalev-Shwartz and Singer. "A New Perspective on an Old Perceptron Algorithm." Annual Conference on Computational Learning Theory, 2005.](https://mlanthology.org/colt/2005/shalevshwartz2005colt-new/) doi:10.1007/11503415_18

BibTeX

@inproceedings{shalevshwartz2005colt-new,
  title     = {{A New Perspective on an Old Perceptron Algorithm}},
  author    = {Shalev-Shwartz, Shai and Singer, Yoram},
  booktitle = {Annual Conference on Computational Learning Theory},
  year      = {2005},
  pages     = {264-278},
  doi       = {10.1007/11503415_18},
  url       = {https://mlanthology.org/colt/2005/shalevshwartz2005colt-new/}
}