A machine learning neural network architecture for the accelerating universe based modified gravity

The current investigations present the numerical outputs of the mathematical accelerating universe based modified gravity model (MAUMGM) by designing a computational stochastic structure using the Bayesian regularization neural network. The classification of the mathematical MAUMGM is presented into...

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Main Authors: Zulqurnain Sabir, Basma Souayeh, Zahraa Zaiour, Alyn Nazal, Mir Waqas Alam, Huda Alfannakh
Format: Article
Language:English
Published: Elsevier 2025-03-01
Series:Egyptian Informatics Journal
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Online Access:http://www.sciencedirect.com/science/article/pii/S1110866525000283
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author Zulqurnain Sabir
Basma Souayeh
Zahraa Zaiour
Alyn Nazal
Mir Waqas Alam
Huda Alfannakh
author_facet Zulqurnain Sabir
Basma Souayeh
Zahraa Zaiour
Alyn Nazal
Mir Waqas Alam
Huda Alfannakh
author_sort Zulqurnain Sabir
collection DOAJ
description The current investigations present the numerical outputs of the mathematical accelerating universe based modified gravity model (MAUMGM) by designing a computational stochastic structure using the Bayesian regularization neural network. The classification of the mathematical MAUMGM is presented into five different nonlinear classes. A dataset is designed using the explicit Runge-Kutta scheme, which is divided into training as 82% and 9%, 9% for testing and verification. The designed stochastic process for solving the MAUMGM contains log-sigmoid activation function, thirty neurons in the hidden layer, dataset based explicit Runge-Kutta, and Bayesian regularization for the optimization. The correctness of the stochastic solver is perceived by comparing the outcomes along with absolute error 10-06 to 10-09. The best training values are reported around 10-13 to 10-14, which also signify the solver’s perfection. To authenticate the accuracy, and competence of the solver, some tests have been taken using the parameters of regression, state transition, and error histogram.
format Article
id doaj-art-37cf6cec814e4a8ba002180d1be254f2
institution DOAJ
issn 1110-8665
language English
publishDate 2025-03-01
publisher Elsevier
record_format Article
series Egyptian Informatics Journal
spelling doaj-art-37cf6cec814e4a8ba002180d1be254f22025-08-20T02:46:29ZengElsevierEgyptian Informatics Journal1110-86652025-03-012910063510.1016/j.eij.2025.100635A machine learning neural network architecture for the accelerating universe based modified gravityZulqurnain Sabir0Basma Souayeh1Zahraa Zaiour2Alyn Nazal3Mir Waqas Alam4Huda Alfannakh5Department of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonDepartment of Physics, College of Science, King Faisal University, PO Box 400, Al-Ahsa 31982, Saudi Arabia; Corresponding author.Department of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonDepartment of Computer Science and Mathematics, Lebanese American University, Beirut, LebanonDepartment of Physics, College of Science, King Faisal University, PO Box 400, Al-Ahsa 31982, Saudi ArabiaDepartment of Physics, College of Science, King Faisal University, PO Box 400, Al-Ahsa 31982, Saudi ArabiaThe current investigations present the numerical outputs of the mathematical accelerating universe based modified gravity model (MAUMGM) by designing a computational stochastic structure using the Bayesian regularization neural network. The classification of the mathematical MAUMGM is presented into five different nonlinear classes. A dataset is designed using the explicit Runge-Kutta scheme, which is divided into training as 82% and 9%, 9% for testing and verification. The designed stochastic process for solving the MAUMGM contains log-sigmoid activation function, thirty neurons in the hidden layer, dataset based explicit Runge-Kutta, and Bayesian regularization for the optimization. The correctness of the stochastic solver is perceived by comparing the outcomes along with absolute error 10-06 to 10-09. The best training values are reported around 10-13 to 10-14, which also signify the solver’s perfection. To authenticate the accuracy, and competence of the solver, some tests have been taken using the parameters of regression, state transition, and error histogram.http://www.sciencedirect.com/science/article/pii/S1110866525000283Modified gravityBayesian regularizationNeural networkAccelerating universeSimulation
spellingShingle Zulqurnain Sabir
Basma Souayeh
Zahraa Zaiour
Alyn Nazal
Mir Waqas Alam
Huda Alfannakh
A machine learning neural network architecture for the accelerating universe based modified gravity
Egyptian Informatics Journal
Modified gravity
Bayesian regularization
Neural network
Accelerating universe
Simulation
title A machine learning neural network architecture for the accelerating universe based modified gravity
title_full A machine learning neural network architecture for the accelerating universe based modified gravity
title_fullStr A machine learning neural network architecture for the accelerating universe based modified gravity
title_full_unstemmed A machine learning neural network architecture for the accelerating universe based modified gravity
title_short A machine learning neural network architecture for the accelerating universe based modified gravity
title_sort machine learning neural network architecture for the accelerating universe based modified gravity
topic Modified gravity
Bayesian regularization
Neural network
Accelerating universe
Simulation
url http://www.sciencedirect.com/science/article/pii/S1110866525000283
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