Clustering Stability: An Overview

TL;DR

This paper provides an accessible overview of the theoretical research on clustering stability, explaining how it guides the selection of the optimal number of clusters and discussing the implications of these findings.

Contribution

It offers a high-level, informal summary of existing theoretical results on clustering stability, making complex analyses more understandable for non-experts.

Findings

Summarizes key theoretical insights on clustering stability

Relates different results and discusses their implications

Provides an accessible overview for non-experts

Abstract

A popular method for selecting the number of clusters is based on stability arguments: one chooses the number of clusters such that the corresponding clustering results are "most stable". In recent years, a series of papers has analyzed the behavior of this method from a theoretical point of view. However, the results are very technical and difficult to interpret for non-experts. In this paper we give a high-level overview about the existing literature on clustering stability. In addition to presenting the results in a slightly informal but accessible way, we relate them to each other and discuss their different implications.