Designing empirical fourier decomposition reinforced with multiscale increment entropy and deep learning to forecast dry bulb air temperature

Accurate prediction of dry bulb air temperature (DBTair) is significant to determine the state of humid air and supporting experts in the environmental sector. Traditional machine learning based approaches struggle to deliver accurate predictions when temperature is suddenly fluctuated during extrem...

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Main Authors: Mohammed Diykh, Mumtaz Ali, Abdulhaleem H. Labban, Ramendra Prasad, Mehdi Jamei, Shahab Abdulla, Aitazaz Ahsan Farooque
Format: Article
Language:English
Published: Elsevier 2025-06-01
Series:Results in Engineering
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Online Access:http://www.sciencedirect.com/science/article/pii/S2590123025006759
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author Mohammed Diykh
Mumtaz Ali
Abdulhaleem H. Labban
Ramendra Prasad
Mehdi Jamei
Shahab Abdulla
Aitazaz Ahsan Farooque
author_facet Mohammed Diykh
Mumtaz Ali
Abdulhaleem H. Labban
Ramendra Prasad
Mehdi Jamei
Shahab Abdulla
Aitazaz Ahsan Farooque
author_sort Mohammed Diykh
collection DOAJ
description Accurate prediction of dry bulb air temperature (DBTair) is significant to determine the state of humid air and supporting experts in the environmental sector. Traditional machine learning based approaches struggle to deliver accurate predictions when temperature is suddenly fluctuated during extreme weather conditions. This paper aims to design an intelligent model namely MEFD-MSIE-FCNN to forecast DBTair which integrates multivariate empirical Fourier decomposition (MEFD), multiscale increment entropy (MSIE), and FCSM model that integrates a fully connected neural network FCNN with long short-term memory (LSTM) to forecast DBTair. The multivariant time series of each predictor variable is passed through the MEFD to extract mutual features across multivariant time series and deliver multivariable-aligned modes. Then, the MSIE is extracted to form a feature final matrix to represent mutual information from multivariant time series. Finally, the features set is sent to the FCSM to forecast multistep ahead DBTair using goodness-of-fit statistical metrics for two regions in Saudi Arabia. The proposed model showed highest accuracy for Jazan station (RMSE=2.120, MAE=2.912, RSE=0.123, ECC=0.971, WIA=0.981, CC=0.982), and Jeddah station (RMSE=2.131, MAE=2.921, RSE=0.113, ECC=0.969, WIA=0.979, CC=0.980). A comprehensive comparison is made against state-of-the art benchmarking models, concluding that there is a noticeable improvement in model's performance in terms of AME, ECC, CC, WIA, RMSE and correlation coefficient. The proposed FCSM can be helpful for many applications such as improving weather prediction, preventing climate risks, energy consumption, water resources management and agricultural industry. Additionally, the proposed model can support decision makers and industries in the environmental sector to make informed decisions to mitigate the effects of climate change.
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issn 2590-1230
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spelling doaj-art-c3f31819246241adbd8ae31b39bc55022025-08-20T03:42:18ZengElsevierResults in Engineering2590-12302025-06-012610459710.1016/j.rineng.2025.104597Designing empirical fourier decomposition reinforced with multiscale increment entropy and deep learning to forecast dry bulb air temperatureMohammed Diykh0Mumtaz Ali1Abdulhaleem H. Labban2Ramendra Prasad3Mehdi Jamei4Shahab Abdulla5Aitazaz Ahsan Farooque6University of Thi-Qar, College of Education for Pure Science, Iraq; Technical Engineering College, Department of Cybersecurity, Al-Ayen Iraqi University, Thi-Qar 64001, IraqUniSQ College, University of Southern Queensland, QLD, 4305, Australia; Canadian Centre for Climate Change and Adaptation, Faculty of Sustainable Design Engineering, University of Prince Edward Island, St Peters, PE, Canada; UniSQ College, University of Southern Queensland, QLD, 4305, AustraliaDepartment of Meteorology, King Abdulaziz University, Jeddah, 21589, Saudi ArabiaDepartment of Science, School of Science and Technology, The University of Fiji, Saweni, Lautoka, FijiCanadian Centre for Climate Change and Adaptation, Faculty of Sustainable Design Engineering, University of Prince Edward Island, St Peters, PE, CanadaUniSQ College, University of Southern Queensland, QLD, 4305, AustraliaCanadian Centre for Climate Change and Adaptation, Faculty of Sustainable Design Engineering, University of Prince Edward Island, St Peters, PE, CanadaAccurate prediction of dry bulb air temperature (DBTair) is significant to determine the state of humid air and supporting experts in the environmental sector. Traditional machine learning based approaches struggle to deliver accurate predictions when temperature is suddenly fluctuated during extreme weather conditions. This paper aims to design an intelligent model namely MEFD-MSIE-FCNN to forecast DBTair which integrates multivariate empirical Fourier decomposition (MEFD), multiscale increment entropy (MSIE), and FCSM model that integrates a fully connected neural network FCNN with long short-term memory (LSTM) to forecast DBTair. The multivariant time series of each predictor variable is passed through the MEFD to extract mutual features across multivariant time series and deliver multivariable-aligned modes. Then, the MSIE is extracted to form a feature final matrix to represent mutual information from multivariant time series. Finally, the features set is sent to the FCSM to forecast multistep ahead DBTair using goodness-of-fit statistical metrics for two regions in Saudi Arabia. The proposed model showed highest accuracy for Jazan station (RMSE=2.120, MAE=2.912, RSE=0.123, ECC=0.971, WIA=0.981, CC=0.982), and Jeddah station (RMSE=2.131, MAE=2.921, RSE=0.113, ECC=0.969, WIA=0.979, CC=0.980). A comprehensive comparison is made against state-of-the art benchmarking models, concluding that there is a noticeable improvement in model's performance in terms of AME, ECC, CC, WIA, RMSE and correlation coefficient. The proposed FCSM can be helpful for many applications such as improving weather prediction, preventing climate risks, energy consumption, water resources management and agricultural industry. Additionally, the proposed model can support decision makers and industries in the environmental sector to make informed decisions to mitigate the effects of climate change.http://www.sciencedirect.com/science/article/pii/S2590123025006759Air temperatureDry bulbForecastingDeep learningMSIEMEFD
spellingShingle Mohammed Diykh
Mumtaz Ali
Abdulhaleem H. Labban
Ramendra Prasad
Mehdi Jamei
Shahab Abdulla
Aitazaz Ahsan Farooque
Designing empirical fourier decomposition reinforced with multiscale increment entropy and deep learning to forecast dry bulb air temperature
Results in Engineering
Air temperature
Dry bulb
Forecasting
Deep learning
MSIE
MEFD
title Designing empirical fourier decomposition reinforced with multiscale increment entropy and deep learning to forecast dry bulb air temperature
title_full Designing empirical fourier decomposition reinforced with multiscale increment entropy and deep learning to forecast dry bulb air temperature
title_fullStr Designing empirical fourier decomposition reinforced with multiscale increment entropy and deep learning to forecast dry bulb air temperature
title_full_unstemmed Designing empirical fourier decomposition reinforced with multiscale increment entropy and deep learning to forecast dry bulb air temperature
title_short Designing empirical fourier decomposition reinforced with multiscale increment entropy and deep learning to forecast dry bulb air temperature
title_sort designing empirical fourier decomposition reinforced with multiscale increment entropy and deep learning to forecast dry bulb air temperature
topic Air temperature
Dry bulb
Forecasting
Deep learning
MSIE
MEFD
url http://www.sciencedirect.com/science/article/pii/S2590123025006759
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