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Floods are one of the most common natural disasters, with a disproportionate impact in developing countries that often lack dense streamflow gauge networks. Accurate and timely warnings are critical for mitigating flood risks, but…

Significant progress has been made in video restoration under rainy conditions over the past decade, largely propelled by advancements in deep learning. Nevertheless, existing methods that depend on paired data struggle to generalize…

Computer Vision and Pattern Recognition · Computer Science 2025-05-23 Shangquan Sun , Wenqi Ren , Juxiang Zhou , Shu Wang , Jianhou Gan , Xiaochun Cao

Multi-state models are frequently applied for representing processes evolving through a discrete set of state. Important classes of multi-state models arise when transitions between states may depend on the time since entry into the current…

Methodology · Statistics 2022-02-28 Rosario Barone , Andrea Tancredi

Flooding is a destructive and dangerous hazard and climate change appears to be increasing the frequency of catastrophic flooding events around the world. Physics-based flood models are costly to calibrate and are rarely generalizable…

Machine Learning · Computer Science 2019-10-16 Chelsea Sidrane , Dylan J Fitzpatrick , Andrew Annex , Diane O'Donoghue , Yarin Gal , Piotr Biliński

High quality Quantitative Precipitation Estimation at high spatiotemporal resolution is crucial to many hydrologic/hydro-meteorological designs. Optimal Quantitative Precipitation Estimation of rainfall improves the accuracy of river and…

Atmospheric and Oceanic Physics · Physics 2021-09-03 Ruhollah Nasiri , Mohamad Sarajzadeh

Modeling rainfall intensity distributions across aggregation scales (from sub-hourly to weekly) is essential for hydrological risk analysis and IDF curves. Aggregation naturally imposes mathematical constraints: return levels must be…

Applications · Statistics 2026-01-14 Pierre Ailliot , Carlo Gaetan , Philippe Naveau

We applied a variety of parametric and non-parametric machine learning models to predict the probability distribution of rainfall based on 1M training examples over a single year across several U.S. states. Our top performing model based on…

Machine Learning · Computer Science 2016-08-09 Adam Lesnikowski

We consider the problem of aggregating models learned from sequestered, possibly heterogeneous datasets. Exploiting tools from Bayesian nonparametrics, we develop a general meta-modeling framework that learns shared global latent structures…

Machine Learning · Statistics 2019-11-04 Mikhail Yurochkin , Mayank Agarwal , Soumya Ghosh , Kristjan Greenewald , Trong Nghia Hoang

Systems of interacting continuous-time Markov chains are a powerful model class, but inference is typically intractable in high dimensional settings. Auxiliary information, such as noisy observations, is typically only available at discrete…

Machine Learning · Statistics 2026-04-21 Giosue Migliorini , Padhraic Smyth

A nonhomogeneous hidden semi-Markov model is proposed to segment toroidal time series according to a finite number of latent regimes and, simultaneously, estimate the influence of time-varying covariates on the process' survival under each…

Applications · Statistics 2023-12-25 Francesco Lagona , Marco Mingione

In the first part of our study, we demonstrated how a simple physical benchmark model can be used to assess assumptions of the conceptual models, based on a lumped Probability Distributed Model (PDM) formulated by Lamb (1999). In this…

Fluid Dynamics · Physics 2023-12-05 Piotr Morawiecki , Philippe H. Trinh

Hourly predictions are critical for issuing flood warnings as the flood peaks on the hourly scale can be distinctly higher than the corresponding daily ones. Currently a popular hourly data-driven prediction scheme is multi-time-scale long…

Geophysics · Physics 2025-10-10 Wencong Yang , Haoyu Ji , Leo Lonzarich , Yalan Song , Chaopeng Shen

Accurate forecasting of river water levels is vital for effectively managing traffic flow and mitigating the risks associated with natural disasters. This task presents challenges due to the intricate factors influencing the flow of a…

Machine Learning · Computer Science 2025-10-21 Sungchul Hong , Yunjin Choi , Jong-June Jeon

Infinite hidden Markov models provide a flexible framework for modelling time series with structural changes and complex dynamics, without requiring the number of latent states to be specified in advance. This flexibility is achieved…

Methodology · Statistics 2025-12-04 Federico P. Cortese , Luca Rossini

There is much interest in the Hierarchical Dirichlet Process Hidden Markov Model (HDP-HMM) as a natural Bayesian nonparametric extension of the ubiquitous Hidden Markov Model for learning from sequential and time-series data. However, in…

Methodology · Statistics 2012-09-11 Matthew J. Johnson , Alan S. Willsky

Exploring and modeling rain generation mechanism is critical for augmenting paired data to ease training of rainy image processing models. Against this task, this study proposes a novel deep learning based rain generator, which fully takes…

Computer Vision and Pattern Recognition · Computer Science 2024-04-30 Zhiqiang Pang , Hong Wang , Qi Xie , Deyu Meng , Zongben Xu

Environmental time series data observed at high frequencies can be studied with approaches such as hidden Markov and semi-Markov models (HMM and HSMM). HSMMs extend the HMM by explicitly modeling the time spent in each state. In a…

Hidden Markov models (HMMs) are probabilistic methods in which observations are seen as realizations of a latent Markov process with discrete states that switch over time. Moving beyond standard statistical tests, HMMs offer a statistical…

Methodology · Statistics 2024-03-20 S. Mildiner Moraga , E. Aarts

Dynamical downscaling with high-resolution regional climate models may offer the possibility of realistically reproducing precipitation and weather events in climate simulations. As resolutions fall to order kilometers, the use of explicit…

Applications · Statistics 2018-08-01 Won Chang , Jiali Wang , Julian Marohnic , Rao Kotamarthi , Elisabeth J. Moyer

Gridded estimated rainfall intensity values at very high spatial and temporal resolution levels are needed as main inputs for weather prediction models to obtain accurate precipitation forecasts, and to verify the performance of…

Applications · Statistics 2009-01-23 Montserrat Fuentes , Brian Reich , Gyuwon Lee