Convergence Analysis for Principal Component Flows

• Autorzy: Yoshizawa S. , Helmke U. , Starkov K.
• Języki publikacji: EN

Abstrakty

EN

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.

Słowa kluczowe

EN

principal component analysis; neural networks; gradient flows; phase portrait; Hessians

PL

badanie zbieżności; sieć neuronowa

• Wydawca: Oficyna Wydawnicza Uniwersytetu Zielonogórskiego
• Czasopismo: International Journal of Applied Mathematics and Computer Science
• Rocznik: 2001
• Tom: Vol. 11, no 1
• Strony: 223--236
• Opis fizyczny: Bibliogr. 15 poz.

Twórcy

autor

Yoshizawa S.

autor

Helmke U.

autor

Starkov K.

• Department of Mathematics Faculty of Science and Technology Science University of Tokyo, Noda, Chiba 278, Japan,