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Dimension Estimation Using Weighted Correlation Dimension Method
Joint Authors
Yu, Zhiwei
Liu, Yuanhong
Zeng, Ming
Wang, Shun
Source
Discrete Dynamics in Nature and Society
Issue
Vol. 2015, Issue 2015 (31 Dec. 2015), pp.1-10, 10 p.
Publisher
Hindawi Publishing Corporation
Publication Date
2015-02-22
Country of Publication
Egypt
No. of Pages
10
Main Subjects
Abstract EN
Dimension reduction is an important tool for featureextraction and has been widely used in many fields including image processing, discrete-time systems, and fault diagnosis.
Asa key parameter of the dimension reduction, intrinsic dimensionrepresents the smallest number of variables which is used to describe a complete dataset.
Among all the dimension estimationmethods, correlation dimension (CD) method is one of the mostpopular ones, which always assumes that the effect of every pointon the intrinsic dimension estimation is identical.
However, it isdifferent when the distribution of a dataset is nonuniform.
Intrinsicdimension estimated by the high density area is more reliable thanthe ones estimated by the low density or boundary area.
In thispaper, a novel weighted correlation dimension (WCD) approach isproposed.
The vertex degree of an undirected graph is invoked tomeasure the contribution of each point to the intrinsic dimensionestimation.
In order to improve the adaptability of WCD estimation, k-means clustering algorithm is adopted to adaptively selectthe linear portion of the log-log sequence (logδk,logC(n,δk)).
Various factors that affect the performance of WCD are studied.
Experiments on synthetic and real datasets show the validity andthe advantages of the development of technique.
American Psychological Association (APA)
Liu, Yuanhong& Yu, Zhiwei& Zeng, Ming& Wang, Shun. 2015. Dimension Estimation Using Weighted Correlation Dimension Method. Discrete Dynamics in Nature and Society،Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060784
Modern Language Association (MLA)
Liu, Yuanhong…[et al.]. Dimension Estimation Using Weighted Correlation Dimension Method. Discrete Dynamics in Nature and Society No. 2015 (2015), pp.1-10.
https://search.emarefa.net/detail/BIM-1060784
American Medical Association (AMA)
Liu, Yuanhong& Yu, Zhiwei& Zeng, Ming& Wang, Shun. Dimension Estimation Using Weighted Correlation Dimension Method. Discrete Dynamics in Nature and Society. 2015. Vol. 2015, no. 2015, pp.1-10.
https://search.emarefa.net/detail/BIM-1060784
Data Type
Journal Articles
Language
English
Notes
Includes bibliographical references
Record ID
BIM-1060784