English

Clustering by Hill-Climbing: Consistency Results

Statistics Theory 2022-02-21 v1 Classical Analysis and ODEs Machine Learning Statistics Theory

Abstract

We consider several hill-climbing approaches to clustering as formulated by Fukunaga and Hostetler in the 1970's. We study both continuous-space and discrete-space (i.e., medoid) variants and establish their consistency.

Keywords

Cite

@article{arxiv.2202.09023,
  title  = {Clustering by Hill-Climbing: Consistency Results},
  author = {Ery Arias-Castro and Wanli Qiao},
  journal= {arXiv preprint arXiv:2202.09023},
  year   = {2022}
}
R2 v1 2026-06-24T09:43:49.626Z