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Fast arithmetic computing with neural networks

Siu, Kai-Yeung and Bruck, Jehoshua (1990) Fast arithmetic computing with neural networks. In: 1990 IEEE Region 10 Conference on Computer and Communication Systems. IEEE Hong Kong Section , Hong Kong, pp. 28-31. ISBN 0-87942-556-3 http://resolver.caltech.edu/CaltechAUTHORS:20120509-132855976

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Abstract

The authors introduce a restricted model of a neuron which is more practical as a model of computation then the classical model of a neuron. The authors define a model of neural networks as a feedforward network of such neurons. Whereas any logic circuit of polynomial size (in n) that computes the product of two n-bit numbers requires unbounded delay, such computations can be done in a neural network with constant delay. The authors improve some known results by showing that the product of two n-bit numbers and sorting of n n-bit numbers can both be computed by a polynomial size neural network using only four unit delays, independent of n . Moreover, the weights of each threshold element in the neural networks require only O(log n)-bit (instead of n-bit) accuracy.


Item Type:Book Section
Related URLs:
URLURL TypeDescription
http://dx.doi.org/10.1109/TENCON.1990.152559DOIUNSPECIFIED
http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=152559PublisherUNSPECIFIED
Additional Information:© 1990 IEEE. Date of Current Version: 06 August 2002. This work was done while the author was a research student associate at IBM Almaden Research Center and was supported in part by the Joint Services Program at Stanford University (US Army, US Navy, US Air Force) under Contract DAAL03-88-C-0011, and the Department of the Navy (NAVELEX) under Contract N00039-84-C-0211, NASA Headquarters, Center for Aeronautics and Space Information Sciences under Grant NAGW-419-S6. The first author would like to thank Prof. Thomas Kailath for his guidance, constant encouragement, and financial support.
Funders:
Funding AgencyGrant Number
Stanford University Joint Services ProgramDAAL03-88-C-0011
Department of the Navy (NAVELEX) N00039-84-C-0211
NASA Center for Aeronautics, and Space Information SciencesNAGW-419-S6
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INSPEC Accession Number4045020
Record Number:CaltechAUTHORS:20120509-132855976
Persistent URL:http://resolver.caltech.edu/CaltechAUTHORS:20120509-132855976
Official Citation:Siu, K.-Y.; Bruck, J.; , "Fast arithmetic computing with neural networks," TENCON 90. 1990 IEEE Region 10 Conference on Computer and Communication Systems , vol., no., pp.28-31 vol.1, 24-27 Sep 1990 doi: 10.1109/TENCON.1990.152559 URL: http://ieeexplore.ieee.org/stamp/stamp.jsp?tp=&arnumber=152559&isnumber=3989
Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:31383
Collection:CaltechAUTHORS
Deposited By: Tony Diaz
Deposited On:09 May 2012 22:13
Last Modified:26 Dec 2012 15:10

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