Neural Networks and Qualitative Physics

By Jean-Pierre Aubin

Book Overview

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.

• Format: Hardcover
• Language: English
• ISBN: 0521445329
• ISBN13: 9780521445320
• Release Date: March 1996
• Publisher: Cambridge University Press
• Length: 302 Pages
• Weight: 1.31 lbs.
• Dimensions: 0.8" x 6.1" x 9.1"