SCG '94 Proceedings of the tenth annual symposium on Computational geometry
Randomized algorithms
A k-Median Algorithm with Running Time Independent of Data Size
Machine Learning
A local search approximation algorithm for k-means clustering
Computational Geometry: Theory and Applications - Special issue on the 18th annual symposium on computational geometrySoCG2002
A Simple Linear Time (1+ ") -Approximation Algorithm for k-Means Clustering in Any Dimensions
FOCS '04 Proceedings of the 45th Annual IEEE Symposium on Foundations of Computer Science
Scalable Clustering Algorithms with Balancing Constraints
Data Mining and Knowledge Discovery
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k-means clustering has been widely applied in the field of Machine Learning and Pattern Recognition. This paper discussed the algorithm of its sub problem which requires that each divided subset size must have at least some given value. Firstly, given k centers, this paper presented an algorithm that assigned each point to one of the centers and proved that the solution value is minimized. Secondly, a 2-approximate algorithm is also presented by the sample technique. At last some UCI datasets were selected to verify our algorithm.