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Dynamical weather and climate prediction models underpin many studies of the Earth system and hold the promise of being able to make robust projections of future climate change based on physical laws. However, simulations from these models…

Atmospheric and Oceanic Physics · Physics 2019-09-04 Peter A. G. Watson

Earth system models inform water policy and interventions, but knowledge gaps in hydrologic representations limit the credibility of projections and impacts assessments. The literature does not provide conclusive evidence that incorporating…

Geophysics · Physics 2025-07-02 Puja Das , Auroop R. Ganguly

When machine learning systems meet real world applications, accuracy is only one of several requirements. In this paper, we assay a complementary perspective originating from the increasing availability of pre-trained and regularly…

Hydrogeologic models are commonly over-smoothed relative to reality, owing to the difficulty of obtaining accurate high-resolution information about the subsurface. When used in an inversion context, such models may introduce systematic…

Spectral Theory · Mathematics 2018-01-17 Scott K. Hansen , Jiachuan He , Velimir V. Vesselinov

This paper is due to appear as a chapter of the forthcoming Handbook of Approximate Bayesian Computation (ABC) by S. Sisson, L. Fan, and M. Beaumont. We describe the challenge of calibrating climate simulators, and discuss the differences…

Computation · Statistics 2015-11-12 Philip B. Holden , Neil R. Edwards , James Hensman , Richard D. Wilkinson

We propose an algorithmic approach for synthesizing linear hybrid automata from time-series data. Unlike existing approaches, our approach provides a whole family of models. Each model in the family is guaranteed to capture the input data…

Formal Languages and Automata Theory · Computer Science 2022-10-25 Miriam García Soto , Thomas A. Henzinger , Christian Schilling

Forecasting global precipitation patterns and, in particular, extreme precipitation events is of critical importance to preparing for and adapting to climate change. Making accurate high-resolution precipitation forecasts using traditional…

Machine Learning · Computer Science 2022-10-25 James Duncan , Shashank Subramanian , Peter Harrington

Floods are the most common form of natural disaster and accurate flood forecasting is essential for early warning systems. Previous work has shown that machine learning (ML) models are a promising way to improve flood predictions when…

Machine Learning · Computer Science 2025-04-18 Emil Ryd , Grey Nearing

In hierarchical forecasting, the process of forecast reconciliation transforms a set of "base" or "raw" forecasts, which do not satisfy the hierarchical aggregation constraints in the real data, into a set of "coherent" forecasts, which do…

Methodology · Statistics 2026-05-29 Minh Nguyen , Farshid Vahid , Shanika L Wickramasuriya

Simulating abundances of stable water isotopologues, i.e. molecules differing in their isotopic composition, within climate models allows for comparisons with proxy data and, thus, for testing hypotheses about past climate and validating…

Atmospheric and Oceanic Physics · Physics 2023-11-28 Jonathan Wider , Jakob Kruse , Nils Weitzel , Janica C. Bühler , Ullrich Köthe , Kira Rehfeld

Understanding the processes that influence groundwater levels is crucial for forecasting and responding to hazards such as groundwater droughts. Mixed models, which combine a fixed mean, expressed using independent predictors, with…

Methodology · Statistics 2025-12-25 Jakub J. Pypkowski , Adam M. Sykulski , James S. Martin , Ben P. Marchant

Hydrodynamic models with rain-on-the-grid capabilities are usually computationally expensive. This makes the use of automatic calibration algorithms hard to apply due to the large number of model runs. However, with the recent advances in…

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

The classical way of studying the rainfall-runoff processes in the water cycle relies on conceptual or physically-based hydrologic models. Deep learning (DL) has recently emerged as an alternative and blossomed in hydrology community for…

Machine Learning · Computer Science 2025-01-28 Yihan Wang , Lujun Zhang , Annan Yu , N. Benjamin Erichson , Tiantian Yang

Conditional flow matching (CFM) stands out as an efficient, simulation-free approach for training flow-based generative models, achieving remarkable performance for data generation. However, CFM is insufficient to ensure accuracy in…

Machine Learning · Computer Science 2026-02-03 Yuhao Huang , Taos Transue , Shih-Hsin Wang , William Feldman , Hong Zhang , Bao Wang

Relevant comprehension of flood hazards has emerged as a crucial necessity, especially as the severity and the occurrence of flood events intensify with climate changes. Flood simulation and forecast capability have been greatly improved…

Image and Video Processing · Electrical Eng. & Systems 2022-11-18 Thanh Huy Nguyen , Anthéa Delmotte , Christophe Fatras , Peter Kettig , Andrea Piacentini , Sophie Ricci

Understanding dynamics of hydrological responses is essential in producing skillful runoff forecast. This can be quantitatively done by tracking changes in hydrology model parameters that represent physical characteristics. In this study,…

Applications · Statistics 2021-12-13 Xiao Peng , John D. Albertson

Existing generative models for time series forecasting often transform simple priors (typically Gaussian) into complex data distributions. However, their sampling initialization, independent of historical data, hinders the capture of…

Machine Learning · Computer Science 2025-08-12 Huibo Xu , Runlong Yu , Likang Wu , Xianquan Wang , Qi Liu

Predicting chaotic dynamical systems is critical in many scientific fields, such as weather forecasting, but challenging due to the characteristic sensitive dependence on initial conditions. Traditional modeling approaches require extensive…

Machine Learning · Computer Science 2025-03-12 Christof Schötz , Alistair White , Maximilian Gelbrecht , Niklas Boers

Weather forecasting plays a vital role in numerous sectors, but accurately capturing the complex dynamics of weather systems remains a challenge for traditional statistical models. Apart from Auto Regressive time forecasting models like…

Neural and Evolutionary Computing · Computer Science 2023-11-27 Anuvab Sen , Arul Rhik Mazumder , Dibyarup Dutta , Udayon Sen , Pathikrit Syam , Sandipan Dhar