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Neural Networks and Qualitative Physics
Jean-Pierre Aubin
其他書名
A Viability Approach
出版Cambridge University Press, 1996-03-29
主題Computers / Artificial Intelligence / GeneralComputers / Data Science / Neural NetworksMathematics / Differential Equations / GeneralMathematics / Probability & Statistics / GeneralMathematics / Mathematical AnalysisScience / Physics / Mathematical & ComputationalScience / Physics / General
ISBN05214453299780521445320
URLhttp://books.google.com.hk/books?id=8gTDMRdha-IC&hl=&source=gbs_api
EBookSAMPLE
註釋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.