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Neural Networks and Qualitative Physics

A Viability Approach
BuchKartoniert, Paperback
302 Seiten
Englisch
Cambridge University Presserschienen am11.08.2011
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. This book will be of value to anyone with an interest in neural networks and cognitive systems.mehr
Verfügbare Formate
BuchKartoniert, Paperback
EUR45,10
BuchGebunden
EUR140,10

Produkt

KlappentextThis 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. This book will be of value to anyone with an interest in neural networks and cognitive systems.
Details
ISBN/GTIN978-1-107-40284-3
ProduktartBuch
EinbandartKartoniert, Paperback
Erscheinungsjahr2011
Erscheinungsdatum11.08.2011
Seiten302 Seiten
SpracheEnglisch
MasseBreite 152 mm, Höhe 229 mm, Dicke 16 mm
Gewicht441 g
Artikel-Nr.12988028

Inhalt/Kritik

Inhaltsverzeichnis
1. Neural networks: a control approach; 2. Pseudo-inverses and tensor products; 3. Associative memories; 4. The gradient method; 5. Nonlinear neural networks; 6. External learning algorithm of feedback controls; 7. Internal learning algorithm of feedback controls; 8. Learning processes of cognitive systems; 9. Qualitative analysis of static problems; 10. Dynamical qualitative simulation.mehr