{"product_id":"neural-networks-and-qualitative-physics-a-viability-approach-9781107402843","title":"Neural Networks and Qualitative Physics: A Viability Approach","description":"\u003cp\u003e • Author(s): Jean-Pierre Aubin\u003cbr\u003e • Publisher: Cambridge University Press\u003cbr\u003e • Publisher Imprint: Cambridge University Press\u003cbr\u003e • BISAC: Mathematical Analysis\u003c\/p\u003e\u003cp\u003eThis 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.\u003c\/p\u003e","brand":"Cambridge University Press","offers":[{"title":"Paperback","offer_id":47579110801559,"sku":"9781107402843","price":7005.0,"currency_code":"INR","in_stock":true}],"thumbnail_url":"\/\/cdn.shopify.com\/s\/files\/1\/0666\/3471\/1191\/files\/9781107402843.webp?v=1774908071","url":"https:\/\/atlanticbooks.com\/products\/neural-networks-and-qualitative-physics-a-viability-approach-9781107402843","provider":"Atlantic Books","version":"1.0","type":"link"}