Open Issues in Statistical Forecasting of Solar Proton Events: A Machine Learning Perspective

Abstract Several techniques have been developed in the last two decades to forecast the occurrence of Solar Proton Events (SPEs), mainly based on the statistical association between the >10 MeV proton flux and precursor parameters. The Empirical model for Solar Proton Events Real Time Alert (ESPE...

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Main Authors: Mirko Stumpo, Simone Benella, Monica Laurenza, Tommaso Alberti, Giuseppe Consolini, Maria Federica Marcucci
Format: Article
Language:English
Published: Wiley 2021-10-01
Series:Space Weather
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Online Access:https://doi.org/10.1029/2021SW002794
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author Mirko Stumpo
Simone Benella
Monica Laurenza
Tommaso Alberti
Giuseppe Consolini
Maria Federica Marcucci
author_facet Mirko Stumpo
Simone Benella
Monica Laurenza
Tommaso Alberti
Giuseppe Consolini
Maria Federica Marcucci
author_sort Mirko Stumpo
collection DOAJ
description Abstract Several techniques have been developed in the last two decades to forecast the occurrence of Solar Proton Events (SPEs), mainly based on the statistical association between the >10 MeV proton flux and precursor parameters. The Empirical model for Solar Proton Events Real Time Alert (ESPERTA; Laurenza et al., 2009, https://doi.org/10.1029/2007sw000379) provides a quite good and timely prediction of SPEs after the occurrence of ≥M2 soft x‐ray (SXR) bursts, by using as input parameters the flare heliolongitude, the SXR and the ∼1 MHz radio fluence. Here, we reinterpret the ESPERTA model in the framework of machine learning and perform a cross validation, leading to a comparable performance. Moreover, we find that, by applying a cut‐off on the ≥M2 flares heliolongitude, the False Alarm Rate (FAR) is reduced. The cut‐off is set to E20° where the cumulative distribution of ≥M2 flares associated with SPEs shows a break which reflects the poor magnetic connection between the Earth and eastern hemisphere flares. The best performance is obtained by using the SMOTE algorithm, leading to probability of detection of 0.83 and a FAR of 0.39. Nevertheless, we demonstrate that a relevant FAR on the predictions is a natural consequence of the sample base rates. From a Bayesian point of view, we find that the FAR explicitly contains the prior knowledge about the class distributions. This is a critical issue of any statistical approach, which requires to perform the model validation by preserving the class distributions within the training and test datasets.
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spelling doaj-art-ce4ad144981e448798e07d39d391a0482025-01-14T16:30:35ZengWileySpace Weather1542-73902021-10-011910n/an/a10.1029/2021SW002794Open Issues in Statistical Forecasting of Solar Proton Events: A Machine Learning PerspectiveMirko Stumpo0Simone Benella1Monica Laurenza2Tommaso Alberti3Giuseppe Consolini4Maria Federica Marcucci5INAF‐Istituto di Astrofisica e Planetologia Spaziali Rome ItalyINAF‐Istituto di Astrofisica e Planetologia Spaziali Rome ItalyINAF‐Istituto di Astrofisica e Planetologia Spaziali Rome ItalyINAF‐Istituto di Astrofisica e Planetologia Spaziali Rome ItalyINAF‐Istituto di Astrofisica e Planetologia Spaziali Rome ItalyINAF‐Istituto di Astrofisica e Planetologia Spaziali Rome ItalyAbstract Several techniques have been developed in the last two decades to forecast the occurrence of Solar Proton Events (SPEs), mainly based on the statistical association between the >10 MeV proton flux and precursor parameters. The Empirical model for Solar Proton Events Real Time Alert (ESPERTA; Laurenza et al., 2009, https://doi.org/10.1029/2007sw000379) provides a quite good and timely prediction of SPEs after the occurrence of ≥M2 soft x‐ray (SXR) bursts, by using as input parameters the flare heliolongitude, the SXR and the ∼1 MHz radio fluence. Here, we reinterpret the ESPERTA model in the framework of machine learning and perform a cross validation, leading to a comparable performance. Moreover, we find that, by applying a cut‐off on the ≥M2 flares heliolongitude, the False Alarm Rate (FAR) is reduced. The cut‐off is set to E20° where the cumulative distribution of ≥M2 flares associated with SPEs shows a break which reflects the poor magnetic connection between the Earth and eastern hemisphere flares. The best performance is obtained by using the SMOTE algorithm, leading to probability of detection of 0.83 and a FAR of 0.39. Nevertheless, we demonstrate that a relevant FAR on the predictions is a natural consequence of the sample base rates. From a Bayesian point of view, we find that the FAR explicitly contains the prior knowledge about the class distributions. This is a critical issue of any statistical approach, which requires to perform the model validation by preserving the class distributions within the training and test datasets.https://doi.org/10.1029/2021SW002794Machine learningsolar flaressolar proton eventsspace weatherstatistical SPE forecasting
spellingShingle Mirko Stumpo
Simone Benella
Monica Laurenza
Tommaso Alberti
Giuseppe Consolini
Maria Federica Marcucci
Open Issues in Statistical Forecasting of Solar Proton Events: A Machine Learning Perspective
Space Weather
Machine learning
solar flares
solar proton events
space weather
statistical SPE forecasting
title Open Issues in Statistical Forecasting of Solar Proton Events: A Machine Learning Perspective
title_full Open Issues in Statistical Forecasting of Solar Proton Events: A Machine Learning Perspective
title_fullStr Open Issues in Statistical Forecasting of Solar Proton Events: A Machine Learning Perspective
title_full_unstemmed Open Issues in Statistical Forecasting of Solar Proton Events: A Machine Learning Perspective
title_short Open Issues in Statistical Forecasting of Solar Proton Events: A Machine Learning Perspective
title_sort open issues in statistical forecasting of solar proton events a machine learning perspective
topic Machine learning
solar flares
solar proton events
space weather
statistical SPE forecasting
url https://doi.org/10.1029/2021SW002794
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