Theoretical Analysis of the k-Means Algorithm - A Survey
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Abstract (arXiv)
The k-means algorithm is one of the most widely used clustering heuristics. Despite its simplicity, analyzing its running time and quality of approximation is surprisingly difficult and can lead to deep insights that can be used to improve the algorithm. In this paper we survey the recent results in this direction as well as several extension of the basic k-means method.
Key facts. Cited by 7 papers in the map (data through 7 Oct 2026). First posted on arXiv 26 Feb 2016.
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Citing papers per year: 2021: 1; 2022: 0; 2023: 1; 2024: 1; 2025: 1; 2026: 3.
7 papers.
- 2024Winner-takes-all learners are geometry-aware conditional density estimatorscited by 6
- 2026CRAB: Codebook Rebalancing for Bias Mitigation in Generative Recommendationcited by 4
- 2023A two stages Deep Learning Architecture for Model Reduction of Parametric Time-Dependent Problemscited by 1
- 2021Neural Networks for Infectious Diseases Detection: Prospects and Challengescited by 0
- 2025Determinacc~ao Autom'atica de Limiar de Deteccc~ao de Ataques em Redes de Computadores Utilizando Autoencoderscited by 0
- 2026K-Means as a Radial Basis function Network: a Variational and Gradient-based Equivalencecited by 0
- 2026Lloyd's K-Means Clustering Algorithm Is Frank-Wolfe in Disguisecited by 0
- 2026Lloyd's K-Means Clustering Algorithm Is Frank-Wolfe in Disguise28 Jul 2026
- 2026CRAB: Codebook Rebalancing for Bias Mitigation in Generative Recommendation6 Apr 2026
- 2026K-Means as a Radial Basis function Network: a Variational and Gradient-based Equivalence4 Mar 2026
- 2025Determinacc~ao Autom'atica de Limiar de Deteccc~ao de Ataques em Redes de Computadores Utilizando Autoencoders17 Jun 2025
- 2024Winner-takes-all learners are geometry-aware conditional density estimators7 Jun 2024
- 2023A two stages Deep Learning Architecture for Model Reduction of Parametric Time-Dependent Problems24 Jan 2023
- 2021Neural Networks for Infectious Diseases Detection: Prospects and Challenges7 Dec 2021