Modeling and forecasting of the high-dimensional time series data with functional data analysis and machine learning approaches

Temperature impacts every part of the world. Meteorological analysis and weather forecasting play a crucial role in sustainable development by helping reduce the damage caused by extreme weather events. A key indicator of climate change is the change in surface temperature. This research focuses on...

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Main Authors: Yousuf Alkhezi, Hajar M. Alkhezi, Ahmad Shafee
Format: Article
Language:English
Published: Frontiers Media S.A. 2025-08-01
Series:Frontiers in Applied Mathematics and Statistics
Subjects:
Online Access:https://www.frontiersin.org/articles/10.3389/fams.2025.1600278/full
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author Yousuf Alkhezi
Hajar M. Alkhezi
Ahmad Shafee
author_facet Yousuf Alkhezi
Hajar M. Alkhezi
Ahmad Shafee
author_sort Yousuf Alkhezi
collection DOAJ
description Temperature impacts every part of the world. Meteorological analysis and weather forecasting play a crucial role in sustainable development by helping reduce the damage caused by extreme weather events. A key indicator of climate change is the change in surface temperature. This research focuses on developing and testing a lightweight and innovative weather prediction system that uses local weather stations and advanced functional time series (FTS) techniques to forecast air temperature (AT). The system is built on the latest functional autoregressive model of order one [FAR(1)]. Our results show that the proposed model provides more accurate forecasts than machine learning techniques. Additionally, we demonstrate that our model outperforms several benchmark methods in predicting AT.
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institution Kabale University
issn 2297-4687
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publishDate 2025-08-01
publisher Frontiers Media S.A.
record_format Article
series Frontiers in Applied Mathematics and Statistics
spelling doaj-art-3969a5f94d064aeab3e47d1bfe8862032025-08-20T04:00:27ZengFrontiers Media S.A.Frontiers in Applied Mathematics and Statistics2297-46872025-08-011110.3389/fams.2025.16002781600278Modeling and forecasting of the high-dimensional time series data with functional data analysis and machine learning approachesYousuf Alkhezi0Hajar M. Alkhezi1Ahmad Shafee2Mathematics Department, College of Basic Education, Public Authority for Applied Education and Training (PAAET), Kuwait City, KuwaitDepartment of Statistics and Operations Research, Faculty of Science, Kuwait University, Safat, KuwaitLaboratory Technology Department, College of Technological Studies, PAAET, Kuwait City, KuwaitTemperature impacts every part of the world. Meteorological analysis and weather forecasting play a crucial role in sustainable development by helping reduce the damage caused by extreme weather events. A key indicator of climate change is the change in surface temperature. This research focuses on developing and testing a lightweight and innovative weather prediction system that uses local weather stations and advanced functional time series (FTS) techniques to forecast air temperature (AT). The system is built on the latest functional autoregressive model of order one [FAR(1)]. Our results show that the proposed model provides more accurate forecasts than machine learning techniques. Additionally, we demonstrate that our model outperforms several benchmark methods in predicting AT.https://www.frontiersin.org/articles/10.3389/fams.2025.1600278/fullfunctional autoregressivefunctional time seriesartificial neural networkneural network autoregressivesupport vector machine
spellingShingle Yousuf Alkhezi
Hajar M. Alkhezi
Ahmad Shafee
Modeling and forecasting of the high-dimensional time series data with functional data analysis and machine learning approaches
Frontiers in Applied Mathematics and Statistics
functional autoregressive
functional time series
artificial neural network
neural network autoregressive
support vector machine
title Modeling and forecasting of the high-dimensional time series data with functional data analysis and machine learning approaches
title_full Modeling and forecasting of the high-dimensional time series data with functional data analysis and machine learning approaches
title_fullStr Modeling and forecasting of the high-dimensional time series data with functional data analysis and machine learning approaches
title_full_unstemmed Modeling and forecasting of the high-dimensional time series data with functional data analysis and machine learning approaches
title_short Modeling and forecasting of the high-dimensional time series data with functional data analysis and machine learning approaches
title_sort modeling and forecasting of the high dimensional time series data with functional data analysis and machine learning approaches
topic functional autoregressive
functional time series
artificial neural network
neural network autoregressive
support vector machine
url https://www.frontiersin.org/articles/10.3389/fams.2025.1600278/full
work_keys_str_mv AT yousufalkhezi modelingandforecastingofthehighdimensionaltimeseriesdatawithfunctionaldataanalysisandmachinelearningapproaches
AT hajarmalkhezi modelingandforecastingofthehighdimensionaltimeseriesdatawithfunctionaldataanalysisandmachinelearningapproaches
AT ahmadshafee modelingandforecastingofthehighdimensionaltimeseriesdatawithfunctionaldataanalysisandmachinelearningapproaches