English

Interpretable Locally Adaptive Nearest Neighbors

Machine Learning 2021-09-30 v2 Machine Learning

Abstract

When training automated systems, it has been shown to be beneficial to adapt the representation of data by learning a problem-specific metric. This metric is global. We extend this idea and, for the widely used family of k nearest neighbors algorithms, develop a method that allows learning locally adaptive metrics. These local metrics not only improve performance but are naturally interpretable. To demonstrate important aspects of how our approach works, we conduct a number of experiments on synthetic data sets, and we show its usefulness on real-world benchmark data sets.

Keywords

Cite

@article{arxiv.2011.03904,
  title  = {Interpretable Locally Adaptive Nearest Neighbors},
  author = {Jan Philip Göpfert and Heiko Wersing and Barbara Hammer},
  journal= {arXiv preprint arXiv:2011.03904},
  year   = {2021}
}
R2 v1 2026-06-23T19:59:18.739Z