A new type of distance metric and its use for clustering

Gu, Xiaowei and Angelov, Plamen Parvanov and Kangin, Dmitry and Principe, Jose (2017) A new type of distance metric and its use for clustering. Evolving Systems, 8 (3). pp. 167-177. ISSN 1868-6478

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In order to address high dimensional problems, a new ‘direction-aware’ metric is introduced in this paper. This new distance is a combination of two components: i) the traditional Euclidean distance and ii) an angular/directional divergence, derived from the cosine similarity. The newly introduced metric combines the advantages of the Euclidean metric and cosine similarity, and is defined over the Euclidean space domain. Thus, it is able to take the advantage from both spaces, while preserving the Euclidean space domain. The direction-aware distance has wide range of applicability and can be used as an alternative distance measure for various traditional clustering approaches to enhance their ability of handling high dimensional problems. A new evolving clustering algorithm using the proposed distance is also proposed in this paper. Numerical examples with benchmark datasets reveal that the direction-aware distance can effectively improve the clustering quality of the k-means algorithm for high dimensional problems and demonstrate the proposed evolving clustering algorithm to be an effective tool for high dimensional data streams processing.

Item Type:
Journal Article
Journal or Publication Title:
Evolving Systems
Additional Information:
The final publication is available at Springer via http://dx.doi.org/10.1007/s12530-017-9195-7
Uncontrolled Keywords:
?? cosine similaritydistance metricmetric spaceclusteringhigh dimensional data streams processing.control and systems engineeringmodelling and simulationcomputer science applicationscontrol and optimization ??
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Deposited On:
04 Jul 2017 08:56
Last Modified:
15 Jul 2024 16:58