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The probability distribution of precipitation amount strongly depends on geography, climate zone, and time scale considered. Closed-form parametric probability distributions are not sufficiently flexible to provide accurate and universal…

Applications · Statistics 2022-06-23 Andrew Pavlides , Vasiliki Agou , Dionissios T. Hristopulos

Dropout represents a typical issue to be addressed when dealing with longitudinal studies. If the mechanism leading to missing information is non-ignorable, inference based on the observed data only may be severely biased. A frequent…

Methodology · Statistics 2018-03-23 Maria Francesca Marino , Marco Alfo'

Understanding how vegetation loss alters rainfall remains a major challenge in climate and hydrological science, as deforestation modifies precipitation through heterogeneous, seasonal and nonlinear land-atmosphere feedbacks. Existing…

Atmospheric and Oceanic Physics · Physics 2026-05-13 Lilly Horvath-Makkos , Fayyaz Minhas

Dam breach models are commonly used to predict outflow hydrographs of potentially failing dams and are key ingredients for evaluating flood risk. In this paper a new dam breach modeling framework is introduced that shall improve the…

Computation · Statistics 2018-06-14 S. J. Peter , A. Siviglia , J. Nagel , S. Marelli , R. M. Boes , D. Vetsch , B. Sudret

Artificial intelligence has advanced quantitative remote sensing, yet its effectiveness is constrained by imbalanced label distribution. This imbalance leads conventionally trained models to favor common samples, which in turn degrades…

Machine Learning · Computer Science 2025-10-24 Fangjian Zhang , Xiaoyong Zhuge , Wenlan Wang , Haixia Xiao , Yuying Zhu , Siyang Cheng

Robust hydrological simulation is key for sustainable development, water management strategies, and climate change adaptation. In recent years, deep learning methods have been demonstrated to outperform mechanistic models at the task of…

Machine Learning · Computer Science 2026-01-13 James Tlhomole , Edoardo Borgomeo , Karthikeyan Matheswaran , Mariangel Garcia Andarcia

Long Short-Term Memory Networks (LSTMs) have been applied to daily discharge prediction with remarkable success. Many practical scenarios, however, require predictions at more granular timescales. For instance, accurate prediction of short…

Machine Learning · Computer Science 2021-04-20 Martin Gauch , Frederik Kratzert , Daniel Klotz , Grey Nearing , Jimmy Lin , Sepp Hochreiter

Extreme floods pose escalating risks in a changing climate, yet forecasting remains challenging due to peak flow underestimation and high uncertainty. We introduce DRUM, a diffusion-based probabilistic deep learning approach that advances…

Robust sensing and perception in adverse weather conditions remain one of the biggest challenges for realizing reliable autonomous vehicle mobility services. Prior work has established that rainfall rate is a useful measure for the…

Signal Processing · Electrical Eng. & Systems 2022-04-26 Robin Karlsson , David Robert Wong , Kazunari Kawabata , Simon Thompson , Naoki Sakai

We introduce a new approach to probabilistic unsupervised learning based on the recognition-parametrised model (RPM): a normalised semi-parametric hypothesis class for joint distributions over observed and latent variables. Under the key…

Machine Learning · Computer Science 2023-04-21 William I. Walker , Hugo Soulat , Changmin Yu , Maneesh Sahani

Physics parameterizations are often needed for numerical weather prediction (NWP) of precipitation forecast. This is mainly because the resolutions of most computational atmospheric models are not fine enough to explicitly resolve sub-grid…

Geophysics · Physics 2025-06-19 Khanh Hung Mai , Duc Le , Kazuo Saito , Tomizawa Futo , Yohei Sawada

In recent years, there has been growing interest in using Precipitable Water Vapor (PWV) derived from Global Positioning System (GPS) signal delays to predict rainfall. However, the occurrence of rainfall is dependent on a myriad of…

Atmospheric and Oceanic Physics · Physics 2020-01-08 Shilpa Manandhar , Soumyabrata Dev , Yee Hui Lee , Yu Song Meng , Stefan Winkler

WeatherBench is a benchmark dataset for medium-range weather forecasting of geopotential, temperature and precipitation, consisting of preprocessed data, predefined evaluation metrics and a number of baseline models. WeatherBench…

Atmospheric and Oceanic Physics · Physics 2022-05-03 Sagar Garg , Stephan Rasp , Nils Thuerey

Physics-constrained generative modeling aims to produce high-dimensional samples that are both physically consistent and distributionally accurate, a task that remains challenging due to often conflicting optimization objectives. Recent…

Machine Learning · Computer Science 2026-02-24 Giacomo Baldan , Qiang Liu , Alberto Guardone , Nils Thuerey

For hydrological applications, such as urban flood modelling, it is often important to be able to simulate sub-daily rainfall time series from stochastic models. However, modelling rainfall at this resolution poses several challenges,…

Applications · Statistics 2020-07-14 Oliver Stoner , Theo Economou

Motivated by the analysis of extreme rainfall data, we introduce a general Bayesian hierarchical model for estimating the probability distribution of extreme values of intermittent random sequences, a common problem in geophysical and…

Methodology · Statistics 2020-05-26 Enrico Zorzetto , Antonio Canale , Marco Marani

Climate change affects occurrences of floods and droughts worldwide. However, predicting climate impacts over individual watersheds is difficult, primarily because accurate hydrological forecasts require models that are calibrated to past…

Machine Learning · Computer Science 2019-12-02 Frederik Kratzert , Daniel Klotz , Johannes Brandstetter , Pieter-Jan Hoedt , Grey Nearing , Sepp Hochreiter

Generative models such as denoising diffusion models are quickly advancing their ability to approximate highly complex data distributions. They are also increasingly leveraged in scientific machine learning, where samples from the implied…

Machine Learning · Computer Science 2025-03-14 Jan-Hendrik Bastek , WaiChing Sun , Dennis M. Kochmann

This study develops a water-level management model for the Great Lakes using a predictive control framework. Requirement 1: Historical data (pre-2019) revealed consistent monthly water-level patterns. A simulated annealing algorithm…

Optimization and Control · Mathematics 2025-04-08 Xiangyi Chen , Wenbo Huang , Jiaqi Leng

Linear mixed models (LMMs) are used as an important tool in the data analysis of repeated measures and longitudinal studies. The most common form of LMMs utilize a normal distribution to model the random effects. Such assumptions can often…

Methodology · Statistics 2016-02-16 Hien D. Nguyen , Geoffrey J. McLachlan