Dual optimization approach in discrete Hopfield neural network

Having effective learning and retrieval phases of satisfiability logic in Discrete Hopfield Neural Network models ensures optimal synaptic weight management, which consequently leads to the production of optimal final neuron states. However, the problem with this model is that different initial stat...

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Main Authors: Guo, Yueling, Zamri, Nur Ezlin, Mohd Kasihmuddin, Mohd Shareduwan, Alway, Alyaa, Mansor, Mohd. Asyraf, Li, Jia, Zhang, Qianhong
Format: Article
Published: Elsevier Ltd 2024
Online Access:http://psasir.upm.edu.my/id/eprint/113648/
https://linkinghub.elsevier.com/retrieve/pii/S1568494624007038
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spelling my.upm.eprints.1136482024-11-19T07:08:48Z http://psasir.upm.edu.my/id/eprint/113648/ Dual optimization approach in discrete Hopfield neural network Guo, Yueling Zamri, Nur Ezlin Mohd Kasihmuddin, Mohd Shareduwan Alway, Alyaa Mansor, Mohd. Asyraf Li, Jia Zhang, Qianhong Having effective learning and retrieval phases of satisfiability logic in Discrete Hopfield Neural Network models ensures optimal synaptic weight management, which consequently leads to the production of optimal final neuron states. However, the problem with this model is that different initial states can affect the biasedness of the retrieval phase since the model memorizes final states without generating new ones and produces suboptimal final neuron states. To date, there is no recent research that solves this issue by improving both phases in the Discrete Hopfield Neural Network that involves first-order satisfiability logic. Therefore, this research contributes to the improvement of the learning and retrieval phases by integrating the Hybrid Differential Evolution Algorithm and Swarm Mutation respectively. This research utilizes Y-Type Random 2 Satisfiability, which combines first and second-order clauses to expand the storage capacity of DHNN models, facilitating the retrieval of optimal final neuron states. To evaluate the effectiveness of the Hybrid Differential Evolution Algorithm and Swarm Mutation in the learning and retrieval phases, several performance metrics are employed in terms of synaptic weight management, learning errors, testing errors, energy profiles, solution variations, and similarity for 10 different cases. Quantitative evaluations show that the proposed model successfully enhances the optimization of both phases, ranking first compared to 10 recent algorithms for all metrics. In terms of convergence analysis, the proposed model progressed fast towards the optimal solution with only one iteration for all cases. Additionally, the proposed model can generate a 100 % global minima ratio when dealing with a high number of neurons for Case 5. Elsevier Ltd 2024-10 Article PeerReviewed Guo, Yueling and Zamri, Nur Ezlin and Mohd Kasihmuddin, Mohd Shareduwan and Alway, Alyaa and Mansor, Mohd. Asyraf and Li, Jia and Zhang, Qianhong (2024) Dual optimization approach in discrete Hopfield neural network. Applied Soft Computing, 164. art. no. 111929. ISSN 1568-4946; eISSN: 1568-4946 https://linkinghub.elsevier.com/retrieve/pii/S1568494624007038 10.1016/j.asoc.2024.111929
institution Universiti Putra Malaysia
building UPM Library
collection Institutional Repository
continent Asia
country Malaysia
content_provider Universiti Putra Malaysia
content_source UPM Institutional Repository
url_provider http://psasir.upm.edu.my/
description Having effective learning and retrieval phases of satisfiability logic in Discrete Hopfield Neural Network models ensures optimal synaptic weight management, which consequently leads to the production of optimal final neuron states. However, the problem with this model is that different initial states can affect the biasedness of the retrieval phase since the model memorizes final states without generating new ones and produces suboptimal final neuron states. To date, there is no recent research that solves this issue by improving both phases in the Discrete Hopfield Neural Network that involves first-order satisfiability logic. Therefore, this research contributes to the improvement of the learning and retrieval phases by integrating the Hybrid Differential Evolution Algorithm and Swarm Mutation respectively. This research utilizes Y-Type Random 2 Satisfiability, which combines first and second-order clauses to expand the storage capacity of DHNN models, facilitating the retrieval of optimal final neuron states. To evaluate the effectiveness of the Hybrid Differential Evolution Algorithm and Swarm Mutation in the learning and retrieval phases, several performance metrics are employed in terms of synaptic weight management, learning errors, testing errors, energy profiles, solution variations, and similarity for 10 different cases. Quantitative evaluations show that the proposed model successfully enhances the optimization of both phases, ranking first compared to 10 recent algorithms for all metrics. In terms of convergence analysis, the proposed model progressed fast towards the optimal solution with only one iteration for all cases. Additionally, the proposed model can generate a 100 % global minima ratio when dealing with a high number of neurons for Case 5.
format Article
author Guo, Yueling
Zamri, Nur Ezlin
Mohd Kasihmuddin, Mohd Shareduwan
Alway, Alyaa
Mansor, Mohd. Asyraf
Li, Jia
Zhang, Qianhong
spellingShingle Guo, Yueling
Zamri, Nur Ezlin
Mohd Kasihmuddin, Mohd Shareduwan
Alway, Alyaa
Mansor, Mohd. Asyraf
Li, Jia
Zhang, Qianhong
Dual optimization approach in discrete Hopfield neural network
author_facet Guo, Yueling
Zamri, Nur Ezlin
Mohd Kasihmuddin, Mohd Shareduwan
Alway, Alyaa
Mansor, Mohd. Asyraf
Li, Jia
Zhang, Qianhong
author_sort Guo, Yueling
title Dual optimization approach in discrete Hopfield neural network
title_short Dual optimization approach in discrete Hopfield neural network
title_full Dual optimization approach in discrete Hopfield neural network
title_fullStr Dual optimization approach in discrete Hopfield neural network
title_full_unstemmed Dual optimization approach in discrete Hopfield neural network
title_sort dual optimization approach in discrete hopfield neural network
publisher Elsevier Ltd
publishDate 2024
url http://psasir.upm.edu.my/id/eprint/113648/
https://linkinghub.elsevier.com/retrieve/pii/S1568494624007038
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score 13.244413