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Author:

Ma, Zhanyu (Ma, Zhanyu.) | Xue, Jing-Hao (Xue, Jing-Hao.) | Leijon, Arne (Leijon, Arne.) | Tan, Zheng-Hua (Tan, Zheng-Hua.) | Yang, Zhen (Yang, Zhen.) (Scholars:杨震) | Guo, Jun (Guo, Jun.)

Indexed by:

EI Scopus SCIE

Abstract:

In this paper, we propose novel strategies for neutral vector variable decorrelation. Two fundamental invertible transformations, namely, serial nonlinear transformation and parallel nonlinear transformation, are proposed to carry out the decorrelation. For a neutral vector variable, which is not multivariate-Gaussian distributed, the conventional principal component analysis cannot yield mutually independent scalar variables. With the two proposed transformations, a highly negatively correlated neutral vector can be transformed to a set of mutually independent scalar variables with the same degrees of freedom. We also evaluate the decorrelation performances for the vectors generated from a single Dirichlet distribution and a mixture of Dirichlet distributions. The mutual independence is verified with the distance correlation measurement. The advantages of the proposed decorrelation strategies are intensively studied and demonstrated with synthesized data and practical application evaluations.

Keyword:

non-Gaussian neutral vector Dirichlet variable Decorrelation neutrality

Author Community:

  • [ 1 ] [Ma, Zhanyu]Beijing Univ Posts & Telecommun, Pattern Recognit & Intelligent Syst Lab, Beijing 100876, Peoples R China
  • [ 2 ] [Guo, Jun]Beijing Univ Posts & Telecommun, Pattern Recognit & Intelligent Syst Lab, Beijing 100876, Peoples R China
  • [ 3 ] [Xue, Jing-Hao]UCL, Dept Stat Sci, London WC1E 6BT, England
  • [ 4 ] [Leijon, Arne]KTH Royal Inst Technol, Sch Elect Engn, S-10044 Stockholm, Sweden
  • [ 5 ] [Tan, Zheng-Hua]Aalborg Univ, Dept Elect Syst, DK-9220 Aalborg, Denmark
  • [ 6 ] [Yang, Zhen]Beijing Univ Technol, Coll Comp Sci, Beijing 100124, Peoples R China

Reprint Author's Address:

  • [Ma, Zhanyu]Beijing Univ Posts & Telecommun, Pattern Recognit & Intelligent Syst Lab, Beijing 100876, Peoples R China

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Source :

IEEE TRANSACTIONS ON NEURAL NETWORKS AND LEARNING SYSTEMS

ISSN: 2162-237X

Year: 2018

Issue: 1

Volume: 29

Page: 129-143

1 0 . 4 0 0

JCR@2022

ESI Discipline: COMPUTER SCIENCE;

ESI HC Threshold:161

JCR Journal Grade:1

Cited Count:

WoS CC Cited Count: 109

SCOPUS Cited Count: 93

ESI Highly Cited Papers on the List: 15 Unfold All

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  • 2019-11
  • 2019-9
  • 2018-11

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 9

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