A massively parallel architecture for a self-organizing neural pattern recognition machine
Computer Vision, Graphics, and Image Processing
Algorithms for clustering data
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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Introduction to the theory of neural computation
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Adaptation in natural and artificial systems
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A clustering algorithm based on graph connectivity
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Stochastic K-means algorithm for vector quantization
Pattern Recognition Letters
A Modified Version of the K-Means Algorithm with a Distance Based on Cluster Symmetry
IEEE Transactions on Pattern Analysis and Machine Intelligence
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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IEEE Transactions on Pattern Analysis and Machine Intelligence
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Cluster Analysis
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A new point symmetry based fuzzy genetic clustering technique for automatic evolution of clusters
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Pattern Recognition Letters
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Some connectivity based cluster validity indices
Applied Soft Computing
Gene transposon based clone selection algorithm for automatic clustering
Information Sciences: an International Journal
Some Symmetry Based Classifiers
Fundamenta Informaticae
MR Brain Image Segmentation Using A Multi-seed Based Automatic Clustering Technique
Fundamenta Informaticae
A generalized automatic clustering algorithm in a multiobjective framework
Applied Soft Computing
Expert Systems with Applications: An International Journal
Gene expression data clustering using a multiobjective symmetry based clustering technique
Computers in Biology and Medicine
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In this paper, an evolutionary clustering technique is described that uses a new point symmetry-based distance measure. The algorithm is therefore able to detect both convex and non-convex clusters. Kd-tree based nearest neighbor search is used to reduce the complexity of finding the closest symmetric point. Adaptive mutation and crossover probabilities are used. The proposed GA with point symmetry (GAPS) distance based clustering algorithm is able to detect any type of clusters, irrespective of their geometrical shape and overlapping nature, as long as they possess the characteristic of symmetry. GAPS is compared with existing symmetry-based clustering technique SBKM, its modified version, and the well-known K-means algorithm. Sixteen data sets with widely varying characteristics are used to demonstrate its superiority. For real-life data sets, ANOVA and MANOVA statistical analyses are performed.