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Denoising Diffusion Probabilistic Models for Coastal Inundation Forecasting

8 May 2025
Kazi Ashik Islam
Zakaria Mehrab
Mahantesh Halappanavar
H. Mortveit
Sridhar Katragadda
Jon Derek Loftis
Madhav V. Marathe
    DiffM
    AI4CE
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Abstract

Coastal flooding poses significant risks to communities, necessitating fast and accurate forecasting methods to mitigate potential damage. To approach this problem, we present DIFF-FLOOD, a probabilistic spatiotemporal forecasting method designed based on denoising diffusion models. DIFF-FLOOD predicts inundation level at a location by taking both spatial and temporal context into account. It utilizes inundation levels at neighboring locations and digital elevation data as spatial context. Inundation history from a context time window, together with additional co-variates are used as temporal context. Convolutional neural networks and cross-attention mechanism are then employed to capture the spatiotemporal dynamics in the data. We trained and tested DIFF-FLOOD on coastal inundation data from the Eastern Shore of Virginia, a region highly impacted by coastal flooding. Our results show that, DIFF-FLOOD outperforms existing forecasting methods in terms of prediction performance (6% to 64% improvement in terms of two performance metrics) and scalability.

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@article{islam2025_2505.05381,
  title={ Denoising Diffusion Probabilistic Models for Coastal Inundation Forecasting },
  author={ Kazi Ashik Islam and Zakaria Mehrab and Mahantesh Halappanavar and Henning Mortveit and Sridhar Katragadda and Jon Derek Loftis and Madhav Marathe },
  journal={arXiv preprint arXiv:2505.05381},
  year={ 2025 }
}
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