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A Neural Network Model Based on Logical Operations

Journal of Computer Science & Technology 1998年第5期13卷 464-470页

作者：周景洲 Electronic Engineering Department Shenzhen University Shenzhen P.R. China

On the basis of analyzing some neural network storage capacity problems a network model comprising a new encoding and recalling scheme is presented. By using some logical operations which operate on the binary pattern strings during information processing procedure the model can reach a high storage capacity for a certain size of network framework.

关键词： Neural network storage capacity binary representation logical operation

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维普期刊数据库

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On the values of representation functions

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Science China Mathematics 2011年第7期54卷 1317-1331页

作者： CHEN YongGao School of Mathematical Sciences and Institute of Mathematics Nanjing Normal University Nanjing 210046 China

For a set A of nonnegative integers, the representation functions R2(A,n) and R3(A,n) are defined as the numbers of solutions to the equation n = a + a′ with a,a′∈ A, a 0, it is known that there exist A,A′■ N such that R2(A′,n) = R2(N \ A′,n) and R3(A,n) = R3(N \ A,n) for all n n0. We obtain several related results. For example, we prove that: If A ■ N such that R3(A,n) = R3(N \ A,n) for all n n0, then (1) for any n n0 we have R3(A,n) = R3(N \ A,n) > c1n - c2, where c1,c2 are two positive constants depending only on n0; (2) for any α αn has the density one. The answers to the four problems in Chen-Tang (2009) are affirmative. We also pose two open problems for further research.

关键词： partition representation function binary representation Sárkzy’s problem

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维普期刊数据库

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On Discrete-Amplitude Multiresolution Analysis

On Discrete-Amplitude Multiresolution Analysis

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1996 3rd International Conference on Signal Processing(ICSP’96)

作者： Sun Hong Yao Tian Ren Yao Wen Bing Huazhong University of Science and Technology

ISBN: (纸本)0780329120

＜正＞In this paper,a new concept named Discrete-Amplitude Multiresolution（DAM） is proposed,in which the representation precision of signal amplitude is taken as its *** the discrete multiresolution algorithms presented in references and are classified them into two broad types,frequency-decomposition and time-decomposition, DAM is a kind of *** is discussed that DAM decomposition in some local segments of a signal behaves like certain self-similar tilings at reasonable scales,and this provides basis for signal *** for reconstructing a signal from its 2-biti binary representation is ***, examples of applications of DAM to digital Signal processing is discussed and some attractive features of DAM in its implementation are revealed:computational simplicity,parallel processing,and quantization-error free.

关键词： signal reconstruction signal resolution signal representation parallel processing discrete amplitude multiresolution analysis signal amplitude representation discrete multiresolution algorithms frequency decomposition time decomposition code decomposition local signal segments self-similar tilings signal compression signal reconstruction binary representation digital signal processing parallel processing quantization-error free method computational simplicity

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