Neural Networks and Qualitative Physics: A Viability Approach - Hardcover

Aubin, Jean-Pierre

Hardcover

ISBN 10: 0521445329 ISBN 13: 9780521445320

Publisher: Cambridge University Press, 1996

Synopsis

This book is devoted to some mathematical methods that arise in two domains of artificial intelligence: neural networks and qualitative physics. Professor Aubin makes use of control and viability theory in neural networks and cognitive systems, regarded as dynamical systems controlled by synaptic matrices, and set-valued analysis that plays a natural and crucial role in qualitative analysis and simulation. This allows many examples of neural networks to be presented in a unified way. In addition, several results on the control of linear and nonlinear systems are used to obtain a "learning algorithm" of pattern classification problems, such as the back-propagation formula, as well as learning algorithms of feedback regulation laws of solutions to control systems subject to state constraints.

About this title

Book Description

This book is devoted to some mathematical methods that arise in two domains of artificial intelligence: neural networks and qualitative physics. Professor Aubin makes use of control and viability theory in neural networks and cognitive systems, and set-valued analysis that plays a crucial role in qualitative analysis and simulation.

About the Author

Aubin, University of Paris-Dauphine, France.

Edition details

• Publisher: Cambridge University Press
• Publication date: 1996
• Language: English
• ISBN 10: 0521445329
• ISBN 13: 9780521445320
• Binding: Hardcover
• Edition number: 1
• Number of pages: 302