A Latent Variable Bayesian Approach to Spatial Clustering with Background Noise

Koray Kayabol · Centrum Wiskunde & Informatica (CWI), the national research institute for mathematics and computer science in the Netherlands · 2011

We propose a finite mixture model for clustering of the spatial data patterns. The model is based on the spatial distances between the data locations in such a way that both the distances of the points to the cluster centers and the distances of a given point to its neighbors within a defined window are involved in the model. Nevertheless, we take into consideration the background noise as well. We resort to Classification Expectation-Maximization (CEM) algorithm for both estimating the parameters and clustering the data points. We test the algorithm on some simulated data sets with different background noises and apply it to a real earthquake data recorded in Kashmir in 2005.

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