Creator:

Yoshizawa, Shintaro ; Helmke, Uwe ; Starkov, Konstantin

Contributor:

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

Title:

Convergence analysis for principal component flows

Subtitle:

Mathematical Theory of Networks and Systems

Group publication title:

AMCS, volume 11 (2001)

Subject and Keywords:

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

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

Date:

2001

Resource Type:

artykuł

Pages:

223-236

Source:

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

Language:

eng

Rights:

Biblioteka Uniwersytetu Zielonogórskiego