Computer Science ›› 2026, Vol. 53 ›› Issue (4): 24-32.doi: 10.11896/jsjkx.251000037

• Interdisciplinary Integration of Artificial Intelligence and Theoretical Computer Science • Previous Articles     Next Articles

Recent Advances in Efficient Algorithms for k-Means Clustering on High-dimensional Big Data

GAO Guichen, JIANG Shaofeng   

  1. School of Computer Science, Peking University, Beijing 100871, China
  • Received:2025-10-13 Revised:2026-01-20 Online:2026-04-15 Published:2026-04-08
  • About author:GAO Guichen,born in 1995,postgraduate,is a member of CCF(No.P3224G).Her main research interests include theoretical computer science and algorithms.
    JIANG Shaofeng,born in 1990,Ph.D,assistant professor,Ph.D supervisor,is a member of CCF(No.H3889S).His main research interests include theoretical computer science,algorithms in massive datasets,approximation algorithms and online algorithms.
  • Supported by:
    National Natural Science Foundation of China(62572006).

Abstract: Clustering is a classic task in machine learning.The goal of clustering is to partition data points into groups,with respect to a similarity measure.As one of the most fundamental models for clustering,k-means has been extensively studied and widely applied.This paper focuses on the computational issue of solving k-means efficiently,and discusses the progress of(near-) linear time approximation algorithms for k-means,from the perspective of theoretical computer science.It also briefly discusses the status of clustering algorithms in various big data computational models,including dynamic,streaming and distributed computing.

Key words: k-means, Euclidean spaces, Near-linear time algorithms, Sublinear algorithms

CLC Number: 

  • TP18
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