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Updated: May 18, 2026

Cross-Modal Multivariate Pattern Analysis
Published on: November 9, 2011
Convergence analysis of deterministic discrete time system of a unified self-stabilizing algorithm for PCA and MCA
Xiangyu Kong1, Qiusheng An, Hongguang Ma
1The Xi'an Research Institute of High Technology, Xi'an Shaanxi 710025, PR China. xiangyukong01@163.com
Abstract:
Unified algorithms for principal and minor components analysis can be used to extract principal components and if altered simply by the sign, it can also serve as a minor component extractor. Obviously, the convergence of these algorithms is an essential issue in practical applications. This paper studies the convergence of a unified PCA and MCA algorithm via a corresponding deterministic discrete-time (DDT) system and some sufficient conditions to guarantee convergence are obtained. Simulations are carried out to further illustrate the theoretical results achieved.
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