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2012 IEEE 12th International Conference on Data Mining Workshops
Generalized Expansion Dimension
Brussels, Belgium Belgium
December 10-December 10
ISBN: 978-1-4673-5164-5
In this paper we propose a framework for modeling the intrinsic dimensionality of data sets. The models can be viewed as generalizations of the expansion dimension, which was originally proposed for the analysis of certain similarity search indices using the Euclidean distance metric. Here, we extend the original model to other metric spaces: vector spaces with the $L_p$ or vector angle (cosine similarity) distance measures, as well as product spaces for categorical data. We also provide a practical guide for estimating both local and global intrinsic dimensionality. The estimates of data complexity can subsequently be used in the design and analysis of algorithms for data mining applications such as search, clustering, classification, and outlier detection.
Index Terms:
Vectors,Data mining,Extraterrestrial measurements,Search problems,Complexity theory,Data models
Michael E. Houle, Hisashi Kashima, Michael Nett, "Generalized Expansion Dimension," icdmw, pp.587-594, 2012 IEEE 12th International Conference on Data Mining Workshops, 2012
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