A Hybrid Extended Kalman Filter Based on a Parametrized FeedForward Neural Network for the Improvement of the Results of Numerical Wave Prediction Models

Aiming to develop a novel optimization model for numerical weather and wave predictions, this study proposes a hybrid approach based on the combination of Artificial Neural Networks (ANNs) and Kalman Filters (KFs). The KF technique uses fixed covariance matrices, which is inappropriate for dynamic c...

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Main Authors: Athanasios Donas, George Galanis, Ioannis Th. Famelis
Format: Article
Language:English
Published: MDPI AG 2023-09-01
Series:Environmental Sciences Proceedings
Subjects:
Online Access:https://www.mdpi.com/2673-4931/26/1/199
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author Athanasios Donas
George Galanis
Ioannis Th. Famelis
author_facet Athanasios Donas
George Galanis
Ioannis Th. Famelis
author_sort Athanasios Donas
collection DOAJ
description Aiming to develop a novel optimization model for numerical weather and wave predictions, this study proposes a hybrid approach based on the combination of Artificial Neural Networks (ANNs) and Kalman Filters (KFs). The KF technique uses fixed covariance matrices, which is inappropriate for dynamic conditions where the measurement error varies due to outside factors. This work proposes an alternative method for updating the covariance matrices, depending on a selected parameter that was obtained from a parametrized FeedForward Neural Network. The FeedForward Neural Network is trained for various values of the parameter for a set of historical data to provide the best choice based on a predetermined objective. Following this procedure, the parameter is added to the hybrid Extended Kalman Filter, which improves the direct outputs of numerical forecasts by decoding the systematic error between the model’s direct output and the corresponding observations. The suggested approach was used in a number of time periods in various locations with very promising results.
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spelling doaj.art-7ee5750f47f647c18024c6568e94cf6e2024-03-27T13:37:39ZengMDPI AGEnvironmental Sciences Proceedings2673-49312023-09-0126119910.3390/environsciproc2023026199A Hybrid Extended Kalman Filter Based on a Parametrized FeedForward Neural Network for the Improvement of the Results of Numerical Wave Prediction ModelsAthanasios Donas0George Galanis1Ioannis Th. Famelis2microSENSES Laboratory, Department of Electrical and Electronics Engineering, Ancient Olive Grove Campus, University of West Attica, 12241 Athens, GreeceMathematical Modeling and Applications Laboratory, Hellenic Naval Academy, Hatzikiriakion, 18539 Piraeus, GreecemicroSENSES Laboratory, Department of Electrical and Electronics Engineering, Ancient Olive Grove Campus, University of West Attica, 12241 Athens, GreeceAiming to develop a novel optimization model for numerical weather and wave predictions, this study proposes a hybrid approach based on the combination of Artificial Neural Networks (ANNs) and Kalman Filters (KFs). The KF technique uses fixed covariance matrices, which is inappropriate for dynamic conditions where the measurement error varies due to outside factors. This work proposes an alternative method for updating the covariance matrices, depending on a selected parameter that was obtained from a parametrized FeedForward Neural Network. The FeedForward Neural Network is trained for various values of the parameter for a set of historical data to provide the best choice based on a predetermined objective. Following this procedure, the parameter is added to the hybrid Extended Kalman Filter, which improves the direct outputs of numerical forecasts by decoding the systematic error between the model’s direct output and the corresponding observations. The suggested approach was used in a number of time periods in various locations with very promising results.https://www.mdpi.com/2673-4931/26/1/199optimization of numerical forecastsextended Kalman filterfeedforward neural networksWAM-cycle 4
spellingShingle Athanasios Donas
George Galanis
Ioannis Th. Famelis
A Hybrid Extended Kalman Filter Based on a Parametrized FeedForward Neural Network for the Improvement of the Results of Numerical Wave Prediction Models
Environmental Sciences Proceedings
optimization of numerical forecasts
extended Kalman filter
feedforward neural networks
WAM-cycle 4
title A Hybrid Extended Kalman Filter Based on a Parametrized FeedForward Neural Network for the Improvement of the Results of Numerical Wave Prediction Models
title_full A Hybrid Extended Kalman Filter Based on a Parametrized FeedForward Neural Network for the Improvement of the Results of Numerical Wave Prediction Models
title_fullStr A Hybrid Extended Kalman Filter Based on a Parametrized FeedForward Neural Network for the Improvement of the Results of Numerical Wave Prediction Models
title_full_unstemmed A Hybrid Extended Kalman Filter Based on a Parametrized FeedForward Neural Network for the Improvement of the Results of Numerical Wave Prediction Models
title_short A Hybrid Extended Kalman Filter Based on a Parametrized FeedForward Neural Network for the Improvement of the Results of Numerical Wave Prediction Models
title_sort hybrid extended kalman filter based on a parametrized feedforward neural network for the improvement of the results of numerical wave prediction models
topic optimization of numerical forecasts
extended Kalman filter
feedforward neural networks
WAM-cycle 4
url https://www.mdpi.com/2673-4931/26/1/199
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