NeuroCOLT

Neural Networks and Computational Learning Theory

 

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NeuroCOLT Technical Report NC-TR-96-002

Complexity and Real Computation: A Manifesto

Lenore Blum
International Computer Science Institute
Berkeley, USA

Felipe Cucker
Universitat Pompeu Fabra
Spain

Mike Shub
IBM T.J. Watson Research Center
New York, USA

Steve Smale
University of California
USA

Abstract
Finding a natural meeting ground between the highly developed complexity theory of computer science -- with its historical roots in logic and the discrete mathematics of the integers -- and the traditional domain of real computation, the more eclectic less foundational field of numerical analysis -- with its rich history and longstanding traditions in the continuous mathematics of analysis -- presents a  compelling challenge. Here we illustrate the issues and pose our  perspective toward resolution.

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