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  • Open Daily: 10am - 10pm
    Alley-side Pickup: 10am - 7pm

    3038 Hennepin Ave Minneapolis, MN
    612-822-4611

Open Daily: 10am - 10pm | Alley-side Pickup: 10am - 7pm
3038 Hennepin Ave Minneapolis, MN
612-822-4611
Neural Networks and Qualitative Physics: A Viability Approach

Neural Networks and Qualitative Physics: A Viability Approach

Aubin, Jean-Pierre

Paperback

General Mathematics

ISBN10: 1107402840
ISBN13: 9781107402843
Publisher: Cambridge
Published: Aug 11 2011
Pages: 302
Weight: 0.89
Height: 0.63 Width: 6.00 Depth: 9.00
Language: English
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.

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