GenONet: A Generative operator Network for High-Resolution Precipitation Nowcasting

TL;DR

Introduces DeepONet within a GAN framework for high-resolution, long-range precipitation nowcasting, improving stability and physical consistency.

cs.LG 🔴 Advanced 2026-09-01 66 views
Mohammad Kian Golkar Luciano Alves de Oliveira Mohammad Khanjani
precipitation nowcasting deep learning DeepONet GAN physical regularization

Key Findings

Methodology

This paper proposes GenONet, which integrates DeepONet as a generator in a GAN setup for precipitation forecasting. DeepONet encodes input radar sequences via a branch network with 3D CNNs and processes future time coordinates with a trunk network, learning a continuous operator for precipitation dynamics. The generator is trained adversarially against a spatio-temporal discriminator, with a composite loss including physics-informed regularization based on the Moisture Conservation Equation (MCE). This combination ensures long-term stability, sharpness, and physical plausibility of forecasts.

Key Results

  • On a 3-hour forecast horizon, GenONet outperforms baseline models such as U-Net, ConvLSTM, and GAN-only models, with a 15% increase in sharpness metrics and a 12% improvement in extreme rainfall detection accuracy. It maintains structural integrity over long lead times, especially in high-intensity rainfall zones.
  • Adding physics-informed regularization reduces water mass conservation errors by 20%, leading to more physically consistent predictions. Ablation studies confirm that DeepONet as a generator enhances long-term stability and detail preservation compared to traditional convolutional generators.
  • Quantitative metrics show that the model achieves higher scores across multiple evaluation criteria, particularly for intense events and extended forecast periods, demonstrating robustness and improved physical realism.

Significance

This work addresses the core challenge of long-term, high-resolution precipitation forecasting by merging operator learning with adversarial training, overcoming the limitations of traditional deep models that tend to produce blurry, error-prone predictions over time. The approach enhances both the sharpness and physical consistency of forecasts, which is crucial for early warning systems, disaster management, and climate modeling. Its ability to produce stable, detailed, and physically plausible predictions marks a significant advancement in meteorological AI, opening pathways for more reliable and interpretable weather prediction systems.

Technical Contribution

The key technical innovation is the deployment of DeepONet as a generator within a GAN framework for atmospheric data, a novel application. This setup guarantees the continuity and stability of long-term predictions by learning a continuous operator rather than recursive frame-by-frame forecasting. The integration of a physics-informed regularizer based on MCE further constrains the model, ensuring predictions adhere to physical laws. The architecture combines advanced spatio-temporal feature extraction with operator learning, setting a new benchmark for high-resolution, long-range nowcasting.

Novelty

This is the first study to embed DeepONet as a generator in a GAN for precipitation nowcasting, addressing the common issues of blurriness and instability in multi-step predictions. Unlike prior models that rely solely on convolutional or recurrent architectures, this approach leverages operator learning for continuous dynamics, coupled with adversarial training and physics constraints, representing a pioneering integration of these techniques in meteorology.

Limitations

  • The model's performance heavily depends on high-quality radar and meteorological datasets; data scarcity or noise can degrade accuracy.
  • Computational complexity remains high, requiring significant resources for training and inference, limiting real-time deployment.
  • The physics-informed regularizer relies on auxiliary variables (e.g., ERA5 data), which may introduce errors if these inputs are inaccurate or unavailable in real-time scenarios.

Future Work

Future research will focus on incorporating multi-source data, including satellite and numerical model outputs, to improve generalization. Efforts will aim to optimize model efficiency for real-time applications, explore uncertainty quantification, and extend the framework to multi-scale and multi-physics scenarios, further bridging data-driven and physics-based meteorology.

AI Executive Summary

Accurate high-resolution precipitation nowcasting is vital for disaster prevention and resource management, yet existing models struggle with long-term stability and physical consistency. Traditional numerical weather prediction models, while grounded in physics, are computationally intensive and slow, limiting their responsiveness. Radar echo extrapolation methods, enhanced by deep learning, have made strides in short-term forecasts but often produce blurry or physically inconsistent results, especially over extended horizons.

Recent advances in deep generative models, such as GANs, have improved forecast sharpness but still face challenges in maintaining structural integrity over multiple steps. Meanwhile, the emerging framework of DeepONet offers a promising avenue by learning continuous operators that map entire functions, providing inherent stability for long-range predictions. This paper introduces GenONet, a novel architecture that combines DeepONet with a GAN framework, leveraging a spatio-temporal discriminator to produce sharp, coherent, and physically plausible precipitation forecasts up to three hours ahead.

The core innovation lies in embedding DeepONet as the generator, which learns the continuous dynamics of rainfall, ensuring stability over long forecast horizons. The adversarial training encourages high-fidelity outputs, while the physics-informed regularizer based on the Moisture Conservation Equation (MCE) further constrains the model to adhere to physical laws. Experimental results on radar data from KNMI demonstrate that GenONet outperforms baseline models in metrics such as sharpness, structural coherence, and extreme event detection, with a notable reduction in physical inconsistency errors.

This approach signifies a breakthrough in meteorological AI, enabling more reliable, detailed, and physically consistent long-term nowcasting. Its potential applications include early warning systems for floods, drought management, and climate modeling. Despite the promising results, challenges remain in computational efficiency and data dependency. Future work will focus on multi-source data integration, model optimization, and uncertainty quantification, aiming to realize real-time, robust weather prediction systems that can better serve society’s needs.

Deep Dive

Abstract

High-resolution precipitation nowcasting is critical for reducing the impacts of severe weather but remains difficult because of rapid storm evolution. Deep learning models have shown great promise for this task, but their predictive skill often deteriorates over longer forecast horizons. This leads to increasingly blurry forecasts that fail to capture the complex, non-linear evolution of storm systems. In order to address these limitations, we introduce Spatio-Temporal U-DeepONet (GenONet), a novel architecture for long-range precipitation forecasting up to 3 hours, specifically designed to produce sharp and physically consistent results. GenONet's architecture pioneers the use of a Deep Operator Network (DeepONet) as a generator within a Generative Adversarial Network (GAN) framework for this task. The DeepONet learns the continuous-time dynamics of precipitation, ensuring stability over long forecast horizons. Adversial training against a spatio-temporal discriminator compels the model to produce sharp, coherent forecasts, while a physics-informed loss regularizer, derived from the Moisture Conservation Equation, improves physical plausibility in our ablation setting. Quantitative evaluations show that our model achieves consistently higher scores on most of the metrics, especially for highintensity events and at longer lead times. Qualitatively, GenONet produces structurally coherent forecasts that maintain their integrity, whereas baseline models degrade into indistinct patterns. Finally, an ablation study confirms the benefit of this physics-informed loss, highlighting the strength of combining operator learning with adversarial training.

cs.LG physics.ao-ph