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The objective of this three-part work is to formulate and rigorously analyse a number of reduced mathematical models that are nevertheless capable of describing the hydrology at the scale of a river basin (i.e. catchment). Coupled surface…

Fluid Dynamics · Physics 2023-12-29 Piotr Morawiecki , Philippe H. Trinh

This work presents a fast, uncertainty-aware sequential data assimilation framework for estimating key aerodynamic states (e.g., instantaneous vorticity fields and aerodynamic loads) during severe gust encounters, where vortex-gust…

Fluid Dynamics · Physics 2026-03-20 Hanieh Mousavi , Anya Jones , Jeff Eldredge

Reliable hydrologic and flood forecasting requires models that remain stable when input data are delayed, missing, or inconsistent. However, most advances in rainfall-runoff prediction have been evaluated under ideal data conditions,…

Artificial Intelligence · Computer Science 2025-10-22 Sarth Dubey , Subimal Ghosh , Udit Bhatia

Data assimilation (DA) aims at forecasting the state of a dynamical system by combining a mathematical representation of the system with noisy observations taking into account their uncertainties. State of the art methods are based on the…

Machine Learning · Computer Science 2023-05-26 Pierre Boudier , Anthony Fillion , Serge Gratton , Selime Gürol , Sixin Zhang

Classical calibration methods in hydrology typically rely on a single cost function computed on long-term streamflow series. Even when hydrological models achieve acceptable scores in NSE and KGE, imbalances can still arise between overall…

Optimization and Control · Mathematics 2023-09-15 Ngo Nghi Truyen Huynh , Pierre-André Garambois , François Colleoni , Pierre Javelle

Accurate and timely estimation of precipitation is critical for issuing hazard warnings (e.g., for flash floods or landslides). Current remotely sensed precipitation products have a few hours of latency, associated with the acquisition and…

Machine Learning · Computer Science 2022-04-20 Mohammad Reza Ehsani , Ariyan Zarei , Hoshin V. Gupta , Kobus Barnard , Ali Behrangi

Reliable global streamflow forecasting is essential for flood preparedness and water resource management, yet data-driven models often suffer from a performance gap when transitioning from historical reanalysis to operational forecast…

Traditional data assimilation uses information obtained from the propagation of one physics-driven model and combines it with information derived from real-world observations in order to obtain a better estimate of the truth of some natural…

Computational Engineering, Finance, and Science · Computer Science 2022-10-24 Andrey A Popov , Adrian Sandu

Data assimilation is widely used in many disciplines such as meteorology, oceanography, and robotics to estimate the state of a dynamical system from noisy observations. In this work, we propose a lightweight and general method to perform…

Machine Learning · Computer Science 2025-10-02 Thomas Savary , François Rozet , Gilles Louppe

A configuration of the NCAR WRF-Hydro model was sought using well established data models to guide the initial hydrologic model setup, as well as a seasonal streamflow post-processing by neural networks. Discharge was simulated using an…

Applications · Statistics 2025-06-06 Richard E. Danielson , Minghong Zhang , Joël Chassé , Will Perrie

Risk assessment in casualty insurance, such as flood risk, traditionally relies on extreme-value methods that emphasizes rare events. These approaches are well-suited for characterizing tail risk, but do not capture the broader dynamics of…

Applications · Statistics 2025-10-22 Samuel Perreault , Silvana M. Pesenti , Daniyal Shahzad

The frequency and impact of floods are expected to increase due to climate change. It is crucial to predict streamflow, consequently flooding, in order to prepare and mitigate its consequences in terms of property damage and fatalities.…

Machine Learning · Computer Science 2021-07-16 Muhammed Sit , Bekir Demiray , Ibrahim Demir

Data assimilation is often viewed as a framework for correcting short-term error growth in dynamical climate model forecasts. When viewed on the time scales of climate however, these short-term corrections, or analysis increments, can…

Atmospheric and Oceanic Physics · Physics 2023-10-02 William Gregory , Mitchell Bushuk , Alistair Adcroft , Yongfei Zhang , Laure Zanna

Accurate and efficient models for rainfall runoff (RR) simulations are crucial for flood risk management. Most rainfall models in use today are process-driven; i.e. they solve either simplified empirical formulas or some variation of the…

Signal Processing · Electrical Eng. & Systems 2020-06-15 Wei Li , Amin Kiaghadi , Clint N. Dawson

Data assimilation refers to the process of obtaining an estimate of a system's state using a model for the system's time evolution and a time series of measurements that are possibly noisy and incomplete. However, for practical reasons, the…

Chaotic Dynamics · Physics 2007-05-23 Matthew Cornick , Brian Hunt , Edward Ott , Michael F. Schatz

Although data assimilation originates from control theory, the relationship between modern data assimilation methods in geoscience and model predictive control has not been extensively explored. In the present paper, I discuss that the…

Geophysics · Physics 2024-10-21 Yohei Sawada

The forecasting skill of numerical weather prediction (NWP) models critically depends on the accurate initial conditions, also known as analysis, provided by data assimilation (DA). Traditional DA methods often face a trade-off between…

Atmospheric and Oceanic Physics · Physics 2024-11-28 Yanfei Xiang , Weixin Jin , Haiyu Dong , Mingliang Bai , Zuliang Fang , Pengcheng Zhao , Hongyu Sun , Kit Thambiratnam , Qi Zhang , Xiaomeng Huang

The area of fault detection is becoming more interesting since there have been many unique designs to detect or even compensate the faults, either from sensor or actuator. This paper applies the hydraulic system with interconnected tanks by…

Systems and Control · Electrical Eng. & Systems 2025-07-08 Moh Kamalul Wafi

The increasing frequency of heavy rainfall events, which are a major cause of urban flooding, underscores the urgent need for accurate precipitation forecasting - particularly in urban areas where localized events often go undetected by…

Machine Learning · Computer Science 2025-11-04 Rama Kassoumeh , David Rügamer , Henning Oppel

While machine learning-based weather prediction (MLWP) has achieved significant advancements, research on assimilating real observations or ensemble forecasts within MLWP models remains limited. We introduce ClimaX-LETKF, the first purely…

Machine Learning · Computer Science 2025-12-17 Akira Takeshima , Kenta Shiraishi , Atsushi Okazaki , Tadashi Tsuyuki , Shunji Kotsuki