Research article Vol. 13 No. 4 (2017): International Journal for Computational Civil and Structural Engineering

ITERATIVE AGGREGATION METHOD FOR SOLVING PRINCIPAL COMPONENT ANALYSIS PROBLEMS

Vitaly E. Bulgakov
47-52 DOI 10.22337/2587-9618-2017-13-4-47-52 Published 2017-12-31
PDF
How to Cite

ITERATIVE AGGREGATION METHOD FOR SOLVING PRINCIPAL COMPONENT ANALYSIS PROBLEMS

Authors

  • Vitaly E. Bulgakov SemanticPro, Boston, USA

DOI:

https://doi.org/10.22337/2587-9618-2017-13-4-47-52

Keywords:

principal component analysis, clustering method, power iteration method, aggregation method, eigenvalue problem

Abstract

Motivated by the previously developed multilevel aggregation method for solving structural analysis problems a novel two-level aggregation approach for efficient iterative solution of Principal Component Analysis (PCA) problems is proposed. The course aggregation model of the original covariance matrix is used in the iterative solution of the eigenvalue problem by a power iterations method. The method is tested on several data sets consisting of large number of text documents.

1997 410

Downloads

Published

2017-12-31

Issue

Vol. 13 No. 4 (2017): International Journal for Computational Civil and Structural Engineering

Section

Research article

How to Cite

Bulgakov, V. E. (2017). ITERATIVE AGGREGATION METHOD FOR SOLVING PRINCIPAL COMPONENT ANALYSIS PROBLEMS. International Journal for Computational Civil and Structural Engineering, 13(4), 47-52. https://doi.org/10.22337/2587-9618-2017-13-4-47-52

Keywords

principal component analysis, clustering method, power iteration method, aggregation method, eigenvalue problem