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Models of Massive Parallelism: Analysis of Cellular Automata and Neural Networks
     

Models of Massive Parallelism: Analysis of Cellular Automata and Neural Networks

by Max Garzon
 

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Locality is a fundamental restriction in nature. On the other hand, adaptive complex systems, life in particular, exhibit a sense of permanence and time­ lessness amidst relentless constant changes in surrounding environments that make the global properties of the physical world the most important problems in understanding their nature and structure. Thus, much of

Overview

Locality is a fundamental restriction in nature. On the other hand, adaptive complex systems, life in particular, exhibit a sense of permanence and time­ lessness amidst relentless constant changes in surrounding environments that make the global properties of the physical world the most important problems in understanding their nature and structure. Thus, much of the differential and integral Calculus deals with the problem of passing from local information (as expressed, for example, by a differential equation, or the contour of a region) to global features of a system's behavior (an equation of growth, or an area). Fundamental laws in the exact sciences seek to express the observable global behavior of physical objects through equations about local interaction of their components, on the assumption that the continuum is the most accurate model of physical reality. Paradoxically, much of modern physics calls for a fundamen­ tal discrete component in our understanding of the physical world. Useful computational models must be eventually constructed in hardware, and as such can only be based on local interaction of simple processing elements.

Product Details

ISBN-13:
9783642779077
Publisher:
Springer Berlin Heidelberg
Publication date:
02/12/2012
Series:
Texts in Theoretical Computer Science. An EATCS Series
Edition description:
Softcover reprint of the original 1st ed. 1995
Pages:
272
Product dimensions:
6.14(w) x 9.21(h) x 0.61(d)

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