Extreme-value forest fire prediction A study of the Loss Function in an Ordinality Scheme

Fuente: arXiv
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Autores principales: Caron, Nicolas, Guyeux, Christophe, Noura, Hassan, Aynes, Benjamin
Formato: Preprint
Publicado: 2026
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author Caron, Nicolas
Guyeux, Christophe
Noura, Hassan
Aynes, Benjamin
author_facet Caron, Nicolas
Guyeux, Christophe
Noura, Hassan
Aynes, Benjamin
contents Wildfires are highly imbalanced natural hazards in both space and severity, making the prediction of extreme events particularly challenging. In this work, we introduce the first ordinal classification framework for forecasting wildfire severity levels directly aligned with operational decision-making in France. Our study investigates the influence of loss-function design on the ability of neural models to predict rare yet critical high-severity fire occurrences. We compare standard cross-entropy with several ordinal-aware objectives, including the proposed probabilistic TDeGPD loss derived from a truncated discrete exponentiated Generalized Pareto Distribution. Through extensive benchmarking over multiple architectures and real operational data, we show that ordinal supervision substantially improves model performance over conventional approaches. In particular, the Weighted Kappa Loss (WKLoss) achieves the best overall results, with more than +0.1 IoU (Intersection Over Union) gain on the most extreme severity classes while maintaining competitive calibration quality. However, performance remains limited for the rarest events due to their extremely low representation in the dataset. These findings highlight the importance of integrating both severity ordering, data imbalance considerations, and seasonality risk into wildfire forecasting systems. Future work will focus on incorporating seasonal dynamics and uncertainty information into training to further improve the reliability of extreme-event prediction.
format Preprint
id arxiv_https___arxiv_org_abs_2601_03327
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Extreme-value forest fire prediction A study of the Loss Function in an Ordinality Scheme
Caron, Nicolas
Guyeux, Christophe
Noura, Hassan
Aynes, Benjamin
Machine Learning
Artificial Intelligence
Wildfires are highly imbalanced natural hazards in both space and severity, making the prediction of extreme events particularly challenging. In this work, we introduce the first ordinal classification framework for forecasting wildfire severity levels directly aligned with operational decision-making in France. Our study investigates the influence of loss-function design on the ability of neural models to predict rare yet critical high-severity fire occurrences. We compare standard cross-entropy with several ordinal-aware objectives, including the proposed probabilistic TDeGPD loss derived from a truncated discrete exponentiated Generalized Pareto Distribution. Through extensive benchmarking over multiple architectures and real operational data, we show that ordinal supervision substantially improves model performance over conventional approaches. In particular, the Weighted Kappa Loss (WKLoss) achieves the best overall results, with more than +0.1 IoU (Intersection Over Union) gain on the most extreme severity classes while maintaining competitive calibration quality. However, performance remains limited for the rarest events due to their extremely low representation in the dataset. These findings highlight the importance of integrating both severity ordering, data imbalance considerations, and seasonality risk into wildfire forecasting systems. Future work will focus on incorporating seasonal dynamics and uncertainty information into training to further improve the reliability of extreme-event prediction.
title Extreme-value forest fire prediction A study of the Loss Function in an Ordinality Scheme
topic Machine Learning
Artificial Intelligence
url https://arxiv.org/abs/2601.03327