Constrained Least Square Bidirectional Associative Memory

陈松灿; 朱兆达

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Constrained Least Square Bidirectional Associative Memory

更新时间：2025-12-08

- Constrained Least Square Bidirectional Associative Memory
- Acta Electronica Sinica Issue 11, (1996)
- 作者机构：
  
  南京航空航天大学计算机系
- 作者简介：
- 基金信息：
- DOI：
  CLC： TP333
- Published：1996
- 稿件说明：
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[1]陈松灿,朱兆达.约束最小平方双向联想存贮器[J].电子学报,1996(11):22-24.

陈松灿, 朱兆达. Constrained Least Square Bidirectional Associative Memory[J]. Acta Electronica Sinica, 1996, (11).
[1]陈松灿,朱兆达.约束最小平方双向联想存贮器[J].电子学报,1996(11):22-24. DOI：

陈松灿, 朱兆达. Constrained Least Square Bidirectional Associative Memory[J]. Acta Electronica Sinica, 1996, (11). DOI：

摘要

基于ＫｏｓｋＯ的双向联想存贮（ＢＡＭ）和Ｋｏｈｏｎｅｎ的广义逆存贮的思想，本文提出了一种约束最小平方双向联想存贮器模型（ＣＬＳＢＡＭ），其联想存贮阵（或连接阵）满足Ｌｙａｐｕｎｏｖ型方程。与ＢＡＭ不同，ＣＬＳＢＡＭ能处理实数类数据；与Ｋｏｈｏｎｅｎ模型亦不同，它不仅是双向联想的，而且在本文的一种约束下联想性能达到最优。通过矩阵奇异值分解（ＳＶＤ）的分析及所进行的计算机模拟证实了所提模型的可行性。

Abstract

Based on Kosko’s bidirectional associative memory（BAM） and Kohonen’s generalized inverse associative memory（GIAM）

we propose a constrained least square bidirectional associative memory（CLSBAM）whose associative matrix（or connection weight matrix）satisfies a famous Lyapunov matrix equation.Unlike BAM

CLSBAM can handle not only dual polar data but also real number

and unlike GIAM

it possesses bidirectional and optimal assocative function under some constraints.Finally

with matrix singular value decomposition（SVD） theory and computer simulation

the feasibility of CLSBAM is confirmed.

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