An algorithm for multidimensional data clustering
ACM Transactions on Mathematical Software (TOMS)
Clustering algorithms based on minimum and maximum spanning trees
SCG '88 Proceedings of the fourth annual symposium on Computational geometry
Linear programming and convex hulls made easy
SCG '90 Proceedings of the sixth annual symposium on Computational geometry
A simple algorithm for computing the smallest enclosing circle
Information Processing Letters
Journal of Algorithms
A subexponential bound for linear programming
SCG '92 Proceedings of the eighth annual symposium on Computational geometry
SCG '94 Proceedings of the tenth annual symposium on Computational geometry
Las Vegas algorithms for linear and integer programming when the dimension is small
Journal of the ACM (JACM)
Data mining using two-dimensional optimized association rules: scheme, algorithms, and visualization
SIGMOD '96 Proceedings of the 1996 ACM SIGMOD international conference on Management of data
Exact primitives for smallest enclosing ellipses
SCG '97 Proceedings of the thirteenth annual symposium on Computational geometry
Efficient algorithms for geometric optimization
ACM Computing Surveys (CSUR)
Efficient and Effective Clustering Methods for Spatial Data Mining
VLDB '94 Proceedings of the 20th International Conference on Very Large Data Bases
STOC '84 Proceedings of the sixteenth annual ACM symposium on Theory of computing
Automated Construction of Classifications: Conceptual Clustering Versus Numerical Taxonomy
IEEE Transactions on Pattern Analysis and Machine Intelligence
Approximation of n-dimensional data using spherical and ellipsoidal primitives
IEEE Transactions on Systems, Man, and Cybernetics, Part A: Systems and Humans
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Two procedures for partitioning large collections of highly intermixed datasets of different classes into a number of hyper-spherical or hyper-ellipsoidal clusters are presented. The incremental procedures are to generate a minimum numbers of hyper-spherical or hyper-ellipsoidal clusters with each cluster containing a maximum number of data points of the same class. The procedures extend the move-to-front algorithms originally designed for construction of minimum sized enclosing balls or ellipsoids for dataset of a single class. The resulting clusters of the dataset can be used for data modeling, outlier detection, discrimination analysis, and knowledge discovery.