English

Classification in asymmetric spaces via sample compression

Machine Learning 2019-09-24 v1 Machine Learning

Abstract

We initiate the rigorous study of classification in quasi-metric spaces. These are point sets endowed with a distance function that is non-negative and also satisfies the triangle inequality, but is asymmetric. We develop and refine a learning algorithm for quasi-metrics based on sample compression and nearest neighbor, and prove that it has favorable statistical properties.

Keywords

Cite

@article{arxiv.1909.09969,
  title  = {Classification in asymmetric spaces via sample compression},
  author = {Lee-Ad Gottlieb and Shira Ozeri},
  journal= {arXiv preprint arXiv:1909.09969},
  year   = {2019}
}
R2 v1 2026-06-23T11:22:27.736Z