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Title: Convergence analysis for principal component flows

Creator:

Yoshizawa, Shintaro ; Helmke, Uwe ; Starkov, Konstantin

Date:

2001

Resource Type:

artykuł

Contributor:

Fliess, Michel - ed. ; Jai, Abdelhaq El - ed.

Subtitle:

Mathematical Theory of Networks and Systems

Group publication title:

AMCS, volume 11 (2001)

Abstract:

A common framework for analyzing the global convergence of several flows for principal component analysis is developed. It is shown that flows proposed by Brockett, Oja, Xu and others are all gradient flows and the global convergence of these flows to single equilibrium points is established. The signature of the Hessian at each critical point is determined.

Publisher:

Zielona Góra: Uniwersytet Zielonogórski

Resource Identifier:

oai:zbc.uz.zgora.pl:58763

Pages:

223-236

Source:

AMCS, volume 11, number 1 (2001) ; click here to follow the link

Language:

eng

License CC BY 4.0:

click here to follow the link

Rights:

Biblioteka Uniwersytetu Zielonogórskiego

Subject and keywords:

principal component analysis (PCA) neural networks gradient flows phase portrait Hessians

Object collections:

Last modified:

Jul 14, 2025

In our library since:

Jul 20, 2021

Number of object content hits:

131

All available object's versions:

https://www.zbc.uz.zgora.pl/publication/65544

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Convergence analysis for principal component flows Jul 14, 2025

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