{ "item_title" : "Neural Networks and Qualitative Physics", "item_author" : [" Jean-Pierre Aubin "], "item_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, 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.", "item_img_path" : "https://covers1.booksamillion.com/covers/bam/0/52/144/532/0521445329_b.jpg", "price_data" : { "retail_price" : "179.00", "online_price" : "179.00", "our_price" : "179.00", "club_price" : "179.00", "savings_pct" : "0", "savings_amt" : "0.00", "club_savings_pct" : "0", "club_savings_amt" : "0.00", "discount_pct" : "10", "store_price" : "" } }

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