Study on Convergence Properties of Associative Neural Network

Shi Yuhui; He Zhenya

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Study on Convergence Properties of Associative Neural Network

更新时间：2025-12-08

- Study on Convergence Properties of Associative Neural Network
- Acta Electronica Sinica Issue 5, Pages: 91-95(1993)
- 作者机构：
  
  1. 东南大学无线电工程系
  2. 东南大学无线电工程系南京 210018
- 作者简介：
- 基金信息：
- DOI：
  CLC：
- Published：1993
- 稿件说明：
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[1]史玉回,何振亚.联想神经网络收敛性能的研究[J].电子学报,1993(05):91-95.

Shi Yuhui, He Zhenya. Study on Convergence Properties of Associative Neural Network[J]. Acta Electronica Sinica, 1993, (5): 91-95.
[1]史玉回,何振亚.联想神经网络收敛性能的研究[J].电子学报,1993(05):91-95. DOI：

Shi Yuhui, He Zhenya. Study on Convergence Properties of Associative Neural Network[J]. Acta Electronica Sinica, 1993, (5): 91-95. DOI：

摘要

本文对具有投影学习算法的Hopfield型二值神经网络（HBNN）在同步工作方式下的收敛性能进行了比较全面的讨论。证明了网络具有演化收敛到网络平衡点的特性

推导了计算网络收敛所需瞬态工作步数上界的估算公式

分析并给出了计算平衡点（记忆模式）收敛半径的算法。

Abstract

In this paper

the convergence properties of Hopfield-type associative neural network with projection learning rule under synchronous update operation have been studied. Using energy function method

we have proved the network having the property converging to one of its equilibrium points. A formula for estimating the upper bound of update steps required for convergence and an algorithm for calculating the convergent radius of the equilibrium point have been derived.

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