{"product_id":"neural-networks-and-qualitative-physics-a-viability-approach-9781107402843","title":"Neural Networks and Qualitative Physics: A Viability Approach","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.\u003cbr\u003e\u003cbr\u003e\u003cb\u003eAuthor:\u003c\/b\u003e Jean-Pierre Aubin\u003cbr\u003e\u003cb\u003ePublisher:\u003c\/b\u003e Cambridge University Press\u003cbr\u003e\u003cb\u003ePublished:\u003c\/b\u003e 08\/11\/2011\u003cbr\u003e\u003cb\u003ePages:\u003c\/b\u003e 302\u003cbr\u003e\u003cb\u003eBinding Type:\u003c\/b\u003e Paperback\u003cbr\u003e\u003cb\u003eWeight:\u003c\/b\u003e 0.89lbs\u003cbr\u003e\u003cb\u003eSize:\u003c\/b\u003e 9.00h x 6.00w x 0.63d\u003cbr\u003e\u003cb\u003eISBN:\u003c\/b\u003e 9781107402843\u003cp\u003e\u003ci\u003eThis title is not returnable\u003c\/i\u003e\u003cbr\u003e\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Paperback","offer_id":45271172874355,"sku":"9781107402843","price":129.91,"currency_code":"USD","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0555\/9255\/0515\/files\/img_4a310d89-15ef-4235-a240-96c73303b800.jpg?v=1784724368","url":"https:\/\/bookstorenmore.com\/products\/neural-networks-and-qualitative-physics-a-viability-approach-9781107402843","provider":"Bookstore N More","version":"1.0","type":"link"}