Physics-aware Machine Learning Revolutionizes Scientific Paradigm for Machine Learning and Process-based Hydrology
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Abstract (arXiv)
Accurate hydrological understanding and water cycle prediction are crucial for addressing scientific and societal challenges associated with the management of water resources, particularly under the dynamic influence of anthropogenic climate change. Existing reviews predominantly concentrate on the development of machine learning (ML) in this field, yet there is a clear distinction between hydrology and ML as separate paradigms. Here, we introduce physics-aware ML as a transformative approach to overcome the perceived barrier and revolutionize both fields. Specifically, we present a comprehensive review of the physics-aware ML methods, building a structured community (PaML) of existing methodologies that integrate prior physical knowledge or physics-based modeling into ML. We systematically analyze these PaML methodologies with respect to four aspects: physical data-guided ML, physics-informed ML, physics-embedded ML, and physics-aware hybrid learning. PaML facilitates ML-aided hypotheses, accelerating insights from big data and fostering scientific discoveries. We first conduct a systematic review of hydrology in PaML, including rainfall-runoff hydrological processes and hydrodynamic processes, and highlight the most promising and challenging directions for different objectives and PaML methods. Finally, a new PaML-based hydrology platform, termed HydroPML, is released as a foundation for hydrological applications. HydroPML enhances the explainability and causality of ML and lays the groundwork for the digital water cycle's realization. The HydroPML platform is publicly available at https://hydropml.github.io/.
Key facts. Cited by 11 papers in the map (data through 14 Oct 2026). Builds on 145 of its 367 references that are in the map. First posted on arXiv 8 Oct 2023.
Builds on
145 of 367 references.
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Citing papers per year: 2024: 6; 2025: 3; 2026: 2.
11 papers.
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- 2024Beyond Grid Data: Exploring Graph Neural Networks for Earth Observationcited by 3
- 2025Aligning Perception, Reasoning, Modeling and Interaction: A Survey on Physical AIcited by 3
- 2024A review of unsupervised learning in astronomycited by 2
- 2024Physics-embedded Fourier Neural Network for Partial Differential Equationscited by 1
- 2025SD-PSFNet: Sequential and Dynamic Point Spread Function Network for Image Derainingcited by 1
- 2025Scientific machine learning in Hydrology: a unified perspectivecited by 0
- 2026Topology enables learning-based hydrodynamic prediction of the global river systemcited by 0
- 2026Real-Time State-of-Health Estimation and Online Degradation Prognosis from Partial Battery Discharge Using Physics-Informed Neural Networkscited by 0
- 2026Real-Time State-of-Health Estimation and Online Degradation Prognosis from Partial Battery Discharge Using Physics-Informed Neural Networks14 Aug 2026
- 2026Topology enables learning-based hydrodynamic prediction of the global river system25 Feb 2026
- 2025SD-PSFNet: Sequential and Dynamic Point Spread Function Network for Image Deraining22 Nov 2025
- 2025Aligning Perception, Reasoning, Modeling and Interaction: A Survey on Physical AI6 Oct 2025
- 2025Scientific machine learning in Hydrology: a unified perspective24 May 2025
- 2024Beyond Grid Data: Exploring Graph Neural Networks for Earth Observation5 Nov 2024
- 2024Physics-embedded Fourier Neural Network for Partial Differential Equations15 Jul 2024
- 2024A review of unsupervised learning in astronomy25 Jun 2024
- 2024On the Foundations of Earth and Climate Foundation Models7 May 2024
- 2024Knowledge-guided Machine Learning: Current Trends and Future Prospects24 Mar 2024
- 2024Large-scale flood modeling and forecasting with FloodCast18 Mar 2024