Hopfield神经网络中基于蚁群优化的命题可满足性逻辑

IF 0.5 Q3 MATHEMATICS
Kho L. C., Kasihmuddin M. S. M., Mansor M. A., Sathasivam S.
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引用次数: 0

摘要

最小化对应于命题逻辑的代价函数是保证HNN学习阶段达到最优状态的关键。在这方面,需要最优和无偏差的算法来确保HNN总是收敛到全局解。蚁群算法(Ant Colony Optimization, ACO)是一种基于群体的、受自然启发的算法,用于解决各种组合优化问题。蚁群算法模拟了真实蚂蚁觅食的行为,并通过信息素密度模拟了蚂蚁之间的交流。在这项工作中,蚁群算法将用于最小化Hopfield神经网络中与逻辑规则相对应的成本函数。蚁群算法将利用信息素密度,在不消耗更多学习迭代的情况下,找到通向零代价函数的最优路径。所有学习模型的性能将根据各种性能指标进行评估。计算机仿真结果表明,蚁群算法在最小化逻辑代价函数方面优于传统学习模型。
本文章由计算机程序翻译,如有差异,请以英文原文为准。
Propositional Satisfiability Logic via Ant Colony Optimization in Hopfield Neural Network
Minimizing the cost function that corresponds to propositional logic is vital to ensure the learning phase of HNN can occur optimally. In that regard, optimal and non-biased algorithm is required to ensure HNN will always converge to global solution. Ant Colony Optimization (ACO) is a population-based and nature-inspired algorithm to solve various combinatorial optimization problems. ACO simulates the behaviour of the real ants that forage for food and communication of ants through pheromone density. In this work, ACO will be used to minimize the cost function that corresponds to the logical rule in Hopfield Neural Network. ACO will utilize pheromone density to find the optimal path that leads to zero cost function without consuming more learning iteration. Performance for all learning models will be evaluated based on various performance metrics. Results collected from computer simulation implies that ACO outperformed conventional learning model in minimizing the logical cost function.
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来源期刊
CiteScore
1.10
自引率
20.00%
发文量
0
期刊介绍: The Research Bulletin of Institute for Mathematical Research (MathDigest) publishes light expository articles on mathematical sciences and research abstracts. It is published twice yearly by the Institute for Mathematical Research, Universiti Putra Malaysia. MathDigest is targeted at mathematically informed general readers on research of interest to the Institute. Articles are sought by invitation to the members, visitors and friends of the Institute. MathDigest also includes abstracts of thesis by postgraduate students of the Institute.
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