NDLI: A differential evolution algorithm for multidimensional arrays

Content Provider	IEEE Xplore Digital Library
Author	Sahin, Ismet
Copyright Year	2010
Description	Author affiliation: Department of Biomedical Informatics, University of Pittsburgh, PA, 15261, USA (Sahin, Ismet)
Abstract	In this paper, we propose a differential evolution (DE) algorithm which aims to optimize a system whose parameters form a multidimensional array. Determination of the optimal demixing matrix in a blind signal separation problem can be considered as an example of this type of system. Since the DE algorithm performs only on column vectors, it can be used after the multidimensional array is transformed into a column vector. Once the optimization is completed, the solution vector must be transformed back into its original multidimensional form. These transformations increase computational complexity of regular DE algorithm that may be costly especially when the number of parameters is large. The proposed algorithm directly performs on multidimensional arrays without transformations between the array and the vector forms. Another advantage of using the array form is to have better intuition through optimization task. We derive this algorithm from regular DE algorithm by viewing the multidimensional array as a vector in the Cartesian product of real valued vectors. The dimensions of the real valued vectors are not required to be the same. We verify the robustness and effectiveness of this algorithm with two examples.
Starting Page	2250
Ending Page	2253
File Size	180724
Page Count	4
File Format	PDF
ISBN	9781424442959
ISSN	15206149
DOI	10.1109/ICASSP.2010.5495845
Language	English
Publisher	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Publisher Date	2010-03-14
Publisher Place	USA
Access Restriction	Subscribed
Rights Holder	Institute of Electrical and Electronics Engineers, Inc. (IEEE)
Subject Keyword	Signal processing algorithms Clustering algorithms Partitioning algorithms Cost function Machine learning algorithms Chromium Multidimensional Arrays Global Optimization Differential Evolution Vector Space
Content Type	Text
Resource Type	Article

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