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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.
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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
WanFang Cited Count:
Chinese Cited Count:
30 Days PV: 9
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