English

Simple and sharp analysis of k-means||

Data Structures and Algorithms 2020-07-03 v2

Abstract

We present a simple analysis of k-means|| (Bahmani et al., PVLDB 2012) -- a distributed variant of the k-means++ algorithm (Arthur and Vassilvitskii, SODA 2007). Moreover, the bound on the number of rounds is improved from O(logn)O(\log n) to O(logn/loglogn)O(\log n / \log\log n), which we show to be tight.

Keywords

Cite

@article{arxiv.2003.02518,
  title  = {Simple and sharp analysis of k-means||},
  author = {Václav Rozhoň},
  journal= {arXiv preprint arXiv:2003.02518},
  year   = {2020}
}
R2 v1 2026-06-23T14:04:45.689Z