https://doi.org/10.1140/epjp/s13360-024-05423-5
Regular Article
A scale conjugate gradient neural network for the hard water consumption using the kidney function
1
Department of Mathematics, COMSATS University Islamabad, Lahore Campus, Pakistan
2
Department of Mathematics, Lahore College for Women University, Lahore, Pakistan
3
Department of Computer Science and Mathematics, Lebanese American University, Beirut, Lebanon
Received:
11
August
2023
Accepted:
28
June
2024
Published online:
14
July
2024
The term “hard water” refers to water management in Nusa Tenggara Timur that has a higher proportion of the ion’s minerals magnesium and calcium. Continuous usage of hard water causes the problems in kidney, which can produce further ailments like diabetes and vascular disease. So, it is important to understand how using hard water impacts kidney function. This research presents the solutions of the kidney dysfunction system of the consumption of hard water through the stochastic scale conjugate gradient neural networks. The mathematical form of the kidney dysfunction model depends upon the components of human (infected, recovered, and susceptible) and water (magnesium and calcium concentration). The validation, training, and testing measures are presented to lessen the mean square error by splitting the data. The simulation of the model is performed using the transfer log-sigmoid function, eighteen neurons and optimization with scale conjugate. The correctness and consistency of the designed solver are presented by applying the comparative performances, minor absolute error along with some statistical procedures.
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© The Author(s), under exclusive licence to Società Italiana di Fisica and Springer-Verlag GmbH Germany, part of Springer Nature 2024. Springer Nature or its licensor (e.g. a society or other partner) holds exclusive rights to this article under a publishing agreement with the author(s) or other rightsholder(s); author self-archiving of the accepted manuscript version of this article is solely governed by the terms of such publishing agreement and applicable law.
