Neuro-computing solution for Lorenz differential equations through artificial neural networks integrated with PSO-NNA hybrid meta-heuristic algorithms : a comparative study
© 2024. The Author(s)..
In this article, examine the performance of a physics informed neural networks (PINN) intelligent approach for predicting the solution of non-linear Lorenz differential equations. The main focus resides in the realm of leveraging unsupervised machine learning for the prediction of the Lorenz differential equation associated particle swarm optimization (PSO) hybridization with the neural networks algorithm (NNA) as ANN-PSO-NNA. In particular embark on a comprehensive comparative analysis employing the Lorenz differential equation for proposed approach as test case. The nonlinear Lorenz differential equations stand as a quintessential chaotic system, widely utilized in scientific investigations and behavior of dynamics system. The validation of physics informed neural network (PINN) methodology expands to via multiple independent runs, allowing evaluating the performance of the proposed ANN-PSO-NNA algorithms. Additionally, explore into a comprehensive statistical analysis inclusive metrics including minimum (min), maximum (max), average, standard deviation (S.D) values, and mean squared error (MSE). This evaluation provides found observation into the adeptness of proposed AN-PSO-NNA hybridization approach across multiple runs, ultimately improving the understanding of its utility and efficiency.
| Medienart: |
E-Artikel |
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| Erscheinungsjahr: |
2024 |
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| Erschienen: |
2024 |
| Enthalten in: |
Zur Gesamtaufnahme - volume:14 |
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| Enthalten in: |
Scientific reports - 14(2024), 1 vom: 29. März, Seite 7518 |
| Sprache: |
Englisch |
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| Beteiligte Personen: |
Aslam, Muhammad Naeem [VerfasserIn] |
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| Links: |
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| Themen: |
Artificial neural networks (ANN) |
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| Anmerkungen: |
Date Revised 30.03.2024 published: Electronic Citation Status PubMed-not-MEDLINE |
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| doi: |
10.1038/s41598-024-56995-2 |
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| funding: |
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| Förderinstitution / Projekttitel: |
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| PPN (Katalog-ID): |
NLM370430204 |
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| 100 | 1 | |a Aslam, Muhammad Naeem |e verfasserin |4 aut | |
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| 500 | |a published: Electronic | ||
| 500 | |a Citation Status PubMed-not-MEDLINE | ||
| 520 | |a © 2024. The Author(s). | ||
| 520 | |a In this article, examine the performance of a physics informed neural networks (PINN) intelligent approach for predicting the solution of non-linear Lorenz differential equations. The main focus resides in the realm of leveraging unsupervised machine learning for the prediction of the Lorenz differential equation associated particle swarm optimization (PSO) hybridization with the neural networks algorithm (NNA) as ANN-PSO-NNA. In particular embark on a comprehensive comparative analysis employing the Lorenz differential equation for proposed approach as test case. The nonlinear Lorenz differential equations stand as a quintessential chaotic system, widely utilized in scientific investigations and behavior of dynamics system. The validation of physics informed neural network (PINN) methodology expands to via multiple independent runs, allowing evaluating the performance of the proposed ANN-PSO-NNA algorithms. Additionally, explore into a comprehensive statistical analysis inclusive metrics including minimum (min), maximum (max), average, standard deviation (S.D) values, and mean squared error (MSE). This evaluation provides found observation into the adeptness of proposed AN-PSO-NNA hybridization approach across multiple runs, ultimately improving the understanding of its utility and efficiency | ||
| 650 | 4 | |a Journal Article | |
| 650 | 4 | |a Artificial neural networks (ANN) | |
| 650 | 4 | |a Chaotic system | |
| 650 | 4 | |a Hybrid approach | |
| 650 | 4 | |a Neural network algorithm (NNA) | |
| 650 | 4 | |a Particle swarm optimization (PSO) | |
| 700 | 1 | |a Aslam, Muhammad Waheed |e verfasserin |4 aut | |
| 700 | 1 | |a Arshad, Muhammad Sarmad |e verfasserin |4 aut | |
| 700 | 1 | |a Afzal, Zeeshan |e verfasserin |4 aut | |
| 700 | 1 | |a Hassani, Murad Khan |e verfasserin |4 aut | |
| 700 | 1 | |a Zidan, Ahmed M |e verfasserin |4 aut | |
| 700 | 1 | |a Akgül, Ali |e verfasserin |4 aut | |
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