A Bayesian Predictive Model for Clustering Data of Mixed Discrete and Continuous Type

IEEE Transactions on Pattern Analysis and Machine Intelligence
Paul BlomstedtJukka Corander

Abstract

Advantages of model-based clustering methods over heuristic alternatives have been widely demonstrated in the literature. Most model-based clustering algorithms assume that the data are either discrete or continuous, possibly allowing both types to be present in separate features. In this paper, we introduce a model-based approach for clustering feature vectors of mixed type, allowing each feature to simultaneously take on both categorical and real values. Such data may be encountered, for instance, in chemical and biological analyses, in the analysis of survey data, as well as in image analysis. Our model is formulated within a Bayesian predictive framework, where clustering solutions correspond to random partitions of the data. Using conjugate analysis, the posterior probability for each possible partition can be determined analytically, enabling the utilization of efficient computational search strategies for finding the posterior optimal partition. The derived model is illustrated using several synthetic and real datasets.

References

Aug 17, 2006·Molecular Ecology·Jukka Corander, Pekka Marttinen
Nov 7, 2006·Bulletin of Mathematical Biology·Jukka CoranderTimo Koski
Nov 26, 2008·IEEE Transactions on Pattern Analysis and Machine Intelligence·Pekka MarttinenJukka Corander
Jun 13, 2009·Science·William Paul HanageJukka Corander
Feb 11, 2014·Nature Genetics·Claire ChewapreechaStephen D Bentley

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Citations

Jan 8, 2016·Bioinformatics·Paul BlomstedtSamuel Kaski

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