@inproceedings{ff2eaa6d6f4f4402b20d96b3debf0186,
title = "Dynamical systems for joint principal and minor component analysis",
abstract = "Most known principal or a minor subspace (or component) analyzers compute either the principal or the minor subspaces of a given data matrix but not both. This paper presents several methods for simultaneous computation of principal and minor subspaces of a symmetric matrix. Weighted versions of these methods for joint computation of principal and minor components are also given. The proposed methods are derived from the optimization of certain objective functions over orthogonal constraints. Several features such as penalty terms are added to obtain reliable algorithms.",
keywords = "Asymptotic stability, Dynamical system, Global stability, Joint PCA-MCA, Joint PSA-MSA, Oja's rule, Optimization over a sphere, Stiefel manifold",
author = "Hasan, {Mohammed A.}",
year = "2006",
language = "English (US)",
isbn = "1424402107",
volume = "2006",
series = "Proceedings of the American Control Conference",
pages = "4591--4596",
booktitle = "Proceedings of the 2006 American Control Conference",
note = "2006 American Control Conference ; Conference date: 14-06-2006 Through 16-06-2006",
}