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Gaussian Clusters and Noise: An Approach Based on the Minimum Description Length Principle

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We introduce a well-grounded minimum description length MDL based quality measure for a clustering consisting of either spherical or axis-aligned normally distributed clusters and a cluster with a uniform distribution in an axis-aligned rectangular box. The uniform component extends the practical usability of the model e. We also introduce a novel search heuristic for finding the best clustering with an unknown number of clusters. The heuristic is based on the idea of moving points from the Gaussian clusters to the uniform one and using MDL for determining the optimal amount of noise. Tests with synthetic data having a clear cluster structure imply that the search method is effective in finding the intuitively correct clustering. This is a preview of subscription content, log in via an institution to check access. Institutional subscriptions. Unable to display preview. Download preview PDF. Arthur, D. Society for Industrial and Applied Mathematics Google Scholar. Dempster, A. Journal of the Royal Statistical Society. Series B Methodological 39 1 , 1—38 Kontkanen, P. Journal of Multivariate Analysis 98 5 , — Rissanen, J. Automatica 14 5 , — The Annals of Statistics 11 2 , — Series B Methodological 49 3 , — Springer, New York Szpankowski, W. Download references. You can also search for this author in PubMed Google Scholar. Reprints and permissions. Luosto, P. In: Pfahringer, B. DS Lecture Notes in Computer Science , vol Springer, Berlin, Heidelberg. Publisher Name : Springer, Berlin, Heidelberg. Print ISBN : Online ISBN : Anyone you share the following link with will be able to read this content:. Sorry, a shareable link is not currently available for this article. Provided by the Springer Nature SharedIt content-sharing initiative. Policies and ethics. Skip to main content. Discovery Science DS Abstract We introduce a well-grounded minimum description length MDL based quality measure for a clustering consisting of either spherical or axis-aligned normally distributed clusters and a cluster with a uniform distribution in an axis-aligned rectangular box. Access this chapter Log in via an institution. Chapter EUR Softcover Book EUR Tax calculation will be finalised at checkout Purchases are for personal use only. Preview Unable to display preview. The parsimonious Gaussian mixture models with partitioned parameters and their application in clustering Article 25 January References Arthur, D. View author publications. Rights and permissions Reprints and permissions. About this paper Cite this paper Luosto, P. Copy to clipboard. Publish with us Policies and ethics. Search Search by keyword or author Search. Navigation Find a journal Publish with us Track your research.

Luosto buy coke