On sequential nonlinear mapping for data structure analysis

Article type: Research Article

Authors: Montvilas, Algirdas Mykolas

Affiliations: Institute of Mathematics and Informatics, 2600 Vilnius, Akademijos St. 4, Lithuania

Abstract: An algorithm for the sequential analysis of multivariate data structure is presented. The algorithm is based on the sequential nonlinear mapping of L-dimensional vectors from the L-hyperspace into a lower-dimensional (two-dimensional) vectors such that the inner structure of distances among the vectors is preserved. Expressions for the sequential nonlinear mapping are obtained. The mapping error function is chosen. Theoretical minimum amount of the very beginning simultaneously mapped vectors is obtained.

Keywords: dimensionality reduction, sequential nonlinear mapping, sequential detection of changes

DOI: 10.3233/INF-1995-6205

Journal: Informatica, vol. 6, no. 2, pp. 225-232, 1995