ACM Computing Surveys (CSUR)
Mean Shift, Mode Seeking, and Clustering
IEEE Transactions on Pattern Analysis and Machine Intelligence
Neural Computation
Pattern Recognition and Machine Learning (Information Science and Statistics)
Pattern Recognition and Machine Learning (Information Science and Statistics)
Robust parameter estimation with a small bias against heavy contamination
Journal of Multivariate Analysis
On biological validity indices for soft clustering algorithms for gene expression data
Computational Statistics & Data Analysis
A new clustering approach on the basis of dynamical neural field
Neural Computation
Survey of clustering algorithms
IEEE Transactions on Neural Networks
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We propose a new method for clustering based on local minimization of the gamma-divergence, which we call spontaneous clustering. The greatest advantage of the proposed method is that it automatically detects the number of clusters that adequately reflect the data structure. In contrast, existing methods, such as K-means, fuzzy c-means, or model-based clustering need to prescribe the number of clusters. We detect all the local minimum points of the gamma-divergence, by which we define the cluster centers. A necessary and sufficient condition for the gamma-divergence to have local minimum points is also derived in a simple setting. Applications to simulated and real data are presented to compare the proposed method with existing ones.