The Modified Increment Method for Eigenspace Model

Chunjie Wei and Jian Wang
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Chunjie Wei: School of Mathematics and Statistics, Shandong University of Technology, Zibo, Shandong, China
Jian Wang: School of Mathematics and Statistics, Shandong University of Technology, Zibo, Shandong, China

Academic Journal of Applied Mathematical Sciences, 2021, vol. 7, issue 4, 187-191

Abstract: Eigenspace is a convenient way to represent sets of observations with widespread applications, so it is necessary to accurately calculate the eigenspace of data. With the advent of the era of big data, the increasing and updating of data bring great challenges to the solution of eigenspace. Hall, et al. [1], proposed that the incremental method could update the eigenspace of data online, which reduces computational costs and storage space. In this paper, the updating coefficient of the sample covariance matrix in an incremental method is modified. Numerical analysis shows that the modified updating form has better performance.

Keywords: Eigenspace; Sample covariance matrix; Incremental method; Online update. (search for similar items in EconPapers)
Date: 2021
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Persistent link: https://EconPapers.repec.org/RePEc:arp:ajoams:2021:p:187-191

DOI: 10.32861/ajams.74.187.191

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