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Multiple Threshold Neural Logic

Bohossian, Vasken and Bruck, Jehoshua (1998) Multiple Threshold Neural Logic. In: Advances in Neural Information Processing Systems 10 (NIPS 1997). Advances in Neural Information Processing Systems. No.10. MIT Press , Cambridge, MA, pp. 252-258. ISBN 0-262-10076-2.

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We introduce a new Boolean computing element related to the Linear Threshold element, which is the Boolean version of the neuron. Instead of the sign function, it computes an arbitrary (with polynomialy many transitions) Boolean function of the weighted sum of its inputs. We call the new computing element an LT M element, which stands for Linear Threshold with Multiple transitions. The paper consists of the following main contributions related to our study of LTM circuits: (i) the creation of efficient designs of LTM circuits for the addition of a multiple number of integers and the product of two integers. In particular, we show how to compute the addition of m integers with a single layer of LT M elements. (ii) a proof that the area of the VLSI layout is reduced from O(n^2) in LT circuits to O(n) in LTM circuits, for n inputs symmetric Boolean functions, and (iii) the characterization of the computing power of LT M relative to LT circuits.

Item Type:Book Section
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URLURL TypeDescription ItemTechnical Report
Bruck, Jehoshua0000-0001-8474-0812
Additional Information:© 1998 Massachusetts Institute of Technology. This work was supported in part by the NSF Young Investigator Award CCR-9457811 and by the Sloan Research Fellowship.
Funding AgencyGrant Number
Alfred P. Sloan FoundationUNSPECIFIED
Series Name:Advances in Neural Information Processing Systems
Issue or Number:10
Record Number:CaltechAUTHORS:20160224-141437128
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Usage Policy:No commercial reproduction, distribution, display or performance rights in this work are provided.
ID Code:64742
Deposited On:24 Feb 2016 22:22
Last Modified:22 Nov 2019 09:58

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