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单层反馈PLN网络的识别复杂性
引用本文:张钹 张铃. 单层反馈PLN网络的识别复杂性[J]. 计算机学报, 1993, 16(5): 321-326
作者姓名:张钹 张铃
作者单位:清华大学计算机科学与技术系,安庆师范学院数学系 北京 100084,安庆 246011
摘    要:本文讨论将单层反馈PLN(概率逻辑神经元模型)网络当作联想记忆网络时,其识别的复杂性问题,即其平均识别速度与网络规模之间的数量关系,我们得到的主要结论是,设单层反馈PLN网络N的规模为m,则其识别计算量是m的指数函数,给出识别计算量是m多项式的必要条件。

关 键 词:PLN网络 单层反馈 识别 复杂性

THE COMPLEXITY OF RECOGNITION IN THESINGLE-LAYERED PLN NETWORKWITH FEEDBACK CONNECTIONS
Zhang BoDept,of Computer Science and Technology,Tsinghua University,Beijing Zhang Ling Deft,of Mathematics,Anqing Teachers' College,Anqing. THE COMPLEXITY OF RECOGNITION IN THESINGLE-LAYERED PLN NETWORKWITH FEEDBACK CONNECTIONS[J]. Chinese Journal of Computers, 1993, 16(5): 321-326
Authors:Zhang BoDept  of Computer Science  Technology  Tsinghua University  Beijing Zhang Ling Deft  of Mathematics  Anqing Teachers' College  Anqing
Affiliation:Zhang BoDept,of Computer Science and Technology,Tsinghua University,Beijing 100084Zhang Ling Deft,of Mathematics,Anqing Teachers' College,Anqing 246011
Abstract:Regarding a single-layered PLN network with feedback connections as an associative memory network,the complexity of recognition is discussed.The main result is : if the size of the network N is m,then the complexity of recognition is an exponential function of m.The necessary condition in which the complexity is polynomial is given.
Keywords:PLN network  stable state  associative memory network  Markov chain  transition matrix  the complexity of recognition.
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