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Neural Networks and Analog Computation : Beyond the Turing Limit
by Hava Siegelmann


Overview - Humanity's most basic intellectual quest to decipher nature and master it has led to numerous efforts to build machines that simulate the world or communi cate with it Bus70, Tur36, MP43, Sha48, vN56, Sha41, Rub89, NK91, Nyc92]. The computational power and dynamic behavior of such machines is a central question for mathematicians, computer scientists, and occasionally, physicists.  Read more...

 
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More About Neural Networks and Analog Computation by Hava Siegelmann
 
 
 
Overview
Humanity's most basic intellectual quest to decipher nature and master it has led to numerous efforts to build machines that simulate the world or communi cate with it Bus70, Tur36, MP43, Sha48, vN56, Sha41, Rub89, NK91, Nyc92]. The computational power and dynamic behavior of such machines is a central question for mathematicians, computer scientists, and occasionally, physicists. Our interest is in computers called artificial neural networks. In their most general framework, neural networks consist of assemblies of simple processors, or "neurons," each of which computes a scalar activation function of its input. This activation function is nonlinear, and is typically a monotonic function with bounded range, much like neural responses to input stimuli. The scalar value produced by a neuron affects other neurons, which then calculate a new scalar value of their own. This describes the dynamical behavior of parallel updates. Some of the signals originate from outside the network and act as inputs to the system, while other signals are communicated back to the environment and are thus used to encode the end result of the computation."


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Details
  • ISBN-13: 9780817639495
  • ISBN-10: 0817639497
  • Publisher: Birkhauser
  • Publish Date: December 1998
  • Page Count: 181

Series: Progress in Theoretical Computer Science

Related Categories

Books > Computers & Internet > Neural Networks
Books > Computers & Internet > Intelligence (AI) & Semantics
Books > Science > Physics - Mathematical & Computational

 
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