Neural Networks and Qualitative Physics: A Viability Approach
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.
1100949754
Neural Networks and Qualitative Physics: A Viability Approach
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.
170.0
In Stock
5
1

Neural Networks and Qualitative Physics: A Viability Approach
302
Neural Networks and Qualitative Physics: A Viability Approach
302
170.0
In Stock
Product Details
ISBN-13: | 9780521445320 |
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Publisher: | Cambridge University Press |
Publication date: | 03/29/1996 |
Pages: | 302 |
Product dimensions: | 6.30(w) x 9.33(h) x 0.75(d) |
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