A Max-Min clustering method for $k$-means algorithm ofdata clustering

As it is known that the performance of the $k$-means algorithm for data clustering largely depends on the choice of the Max-Min centers, and the algorithm generally uses random procedures to get them. In order to improve the efficiency of the $k$-means algorithm, a good selection method of clustering starting centers is proposed in this paper. The proposed algorithm determines a Max-Min scale for each cluster of patterns, and calculate Max-Min clustering centers according to the norm of the points. Experiments results show that the proposed algorithm provides good performance of clustering.

[1]  Paul S. Bradley,et al.  Clustering via Concave Minimization , 1996, NIPS.

[2]  Ahmed F. Ghoniem,et al.  K-means clustering for optimal partitioning and dynamic load balancing of parallel hierarchical N-body simulations , 2005 .

[3]  Boris Mirkin Clustering Algorithms: a Review , 1996 .

[4]  Anil K. Jain,et al.  Algorithms for Clustering Data , 1988 .

[5]  Yubo Yuan,et al.  SPLINE FUNCTION SMOOTH SUPPORT VECTOR MACHINE FOR CLASSIFICATION , 2007 .

[6]  Shehroz S. Khan,et al.  Cluster center initialization algorithm for K-means clustering , 2004, Pattern Recognit. Lett..

[7]  Shokri Z. Selim,et al.  K-Means-Type Algorithms: A Generalized Convergence Theorem and Characterization of Local Optimality , 1984, IEEE Transactions on Pattern Analysis and Machine Intelligence.

[8]  Georg Peters,et al.  Some refinements of rough k-means clustering , 2006, Pattern Recognit..

[9]  David J. Hand,et al.  Short communication: Optimising k-means clustering results with standard software packages , 2005 .

[10]  M. Narasimha Murty,et al.  Efficient clustering of large data sets , 2001, Pattern Recognition.

[11]  Boris Mirkin K-Means Clustering , 2005 .

[12]  YuBo Yuan,et al.  A Polynomial Smooth Support Vector Machine for Classification , 2005, ADMA.

[13]  Ujjwal Maulik,et al.  An evolutionary technique based on K-Means algorithm for optimal clustering in RN , 2002, Inf. Sci..

[14]  Makoto Otsubo,et al.  Computerized identification of stress tensors determined from heterogeneous fault-slip data by combining the multiple inverse method and k-means clustering , 2006 .

[15]  D. J. Newman,et al.  UCI Repository of Machine Learning Database , 1998 .

[16]  Boris G. Mirkin,et al.  Concept Learning and Feature Selection Based on Square-Error Clustering , 1999, Machine Learning.

[17]  Yuan Yu Polynomial Smooth Support Vector Machine(PSSVM) , 2005 .

[18]  Bjarni Bödvarsson,et al.  Extraction of time activity curves from positron emission tomography: K-means clustering or non-negative matrix factorization , 2006, NeuroImage.

[19]  David M. Mount,et al.  A local search approximation algorithm for k-means clustering , 2002, SCG '02.

[20]  R. J. Kuo,et al.  Application of ant K-means on clustering analysis , 2005 .