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Measuring the connectivity of water in rivers and streams is essential for effective water resource management. Increased extreme weather events associated with climate change can result in alterations to river and stream connectivity.…

Computer Vision and Pattern Recognition · Computer Science 2025-02-04 Timothy James Becker , Derin Gezgin , Jun Yi He Wu , Mary Becker

Concurrent time series commonly arise in various applications, including when monitoring the environment such as in air quality measurement networks, weather stations, oceanographic buoys, or in paleo form such as lake sediments, tree…

Methodology · Statistics 2015-10-20 Matz A. Haugen , Bala Rajaratnam , Paul Switzer

Precipitation data collected at sub-hourly resolution represents specific challenges for missing data recovery by being largely stochastic in nature and highly unbalanced in the duration of rain vs non-rain. Here we present a two-step…

Motivated by the EVA 2025 Data Challenge, we address the problem of predicting extreme rainfall in the eastern United States using data from a large ensemble of climate model runs. The challenge focuses on three quantities of interest…

Methodology · Statistics 2026-03-20 Ryan Campbell , Kristina Grolmusova , Lydia Kakampakou , Jeongjin Lee

It is common for researchers to record long, multiple time series from experiments or calculations. But sometimes there are no good models for the systems or no applicable mathematical theorems that can tell us when there are basic…

Chaotic Dynamics · Physics 2024-11-26 Louis Pecora , Thomas Carroll

I present a new framework for modeling the dynamics of tidal streams. The framework consists of simple models for the initial action-angle distribution of tidal debris, which can be straightforwardly evolved forward in time. Taking…

Astrophysics of Galaxies · Physics 2014-10-17 Jo Bovy

Regionalization methods have long been used to estimate high return levels of river discharges at ungauged locations on a river network. In these methods, the recorded discharge measurements of a group of similar, gauged, stations is used…

Applications · Statistics 2016-11-11 Peiman Asadi , Sebastian Engelke , Anthony C. Davison

Recently, large language models (LLMs) have shown great promise in time series forecasting. However, most existing LLM-based forecasting methods still follow a static generative paradigm that directly maps historical observations to future…

Machine Learning · Computer Science 2026-05-05 Bokai Pan , Mingyue Cheng , Zhiding Liu , Shuo Yu , Xiaoyu Tao , Yuchong Wu , Qi Liu , Defu Lian , Enhong Chen

The assignment flow recently introduced in the J. Math. Imaging and Vision 58/2 (2017), constitutes a high-dimensional dynamical system that evolves on an elementary statistical manifold and performs contextual labeling (classification) of…

Dynamical Systems · Mathematics 2021-11-23 Artjom Zern , Alexander Zeilmann , Christoph Schnörr

Precipitation is one of the most important meteorological variables for defining the climate dynamics, but the spatial patterns of precipitation have not been fully investigated yet. The complex network theory, which provides a robust tool…

Atmospheric and Oceanic Physics · Physics 2013-08-22 Stefania Scarsoglio , Francesco Laio , Luca Ridolfi

Accurate prediction of water temperature in streams is critical for monitoring and understanding biogeochemical and ecological processes in streams. Stream temperature is affected by weather patterns (such as solar radiation) and water…

Weather regimes provide a useful framework for describing large-scale atmospheric variability and its impacts on regional weather. Despite extensive study, there is still no universally accepted definition or method for identifying weather…

Algebraic Topology · Mathematics 2026-05-21 Soheil Anbouhi

Modelling of precipitation and its extremes is important for urban and agriculture planning purposes. We present a method for producing spatial predictions and measures of uncertainty for spatio-temporal data that is heavy-tailed and…

Applications · Statistics 2014-11-19 Yang Liu , Philip Kokic

Time series data in real-world scenarios contain a substantial amount of nonlinear information, which significantly interferes with the training process of models, leading to decreased prediction performance. Therefore, during the time…

Machine Learning · Computer Science 2024-06-05 Dandan Zhang , Zhiqiang Zhang , Nanguang Chen , Yun Wang

Data is essential to performing time series analysis utilizing machine learning approaches, whether for classic models or today's large language models. A good time-series dataset is advantageous for the model's accuracy, robustness, and…

Machine Learning · Computer Science 2024-04-29 Chenxi Sun , Hongyan Li , Yaliang Li , Shenda Hong

We study the occurrence of events, subject to threshold, in a representative SOC sandpile model and in high-resolution rainfall data. The predictability in both systems is analyzed by means of a decision variable sensitive to event…

Atmospheric and Oceanic Physics · Physics 2015-06-11 Anna Deluca , Nicholas R. Moloney , Alvaro Corral

We study temporally persistent and spatially extended extreme events of temperature anomalies, i.e. heat waves and cold spells, using large deviation theory. To this end, we consider a simplified yet Earth-like general circulation model of…

Statistical Mechanics · Physics 2019-05-22 Vera Melinda Galfi , Valerio Lucarini , Jeroen Wouters

Time series forecasting (TSF) has long been a crucial task in both industry and daily life. Most classical statistical models may have certain limitations when applied to practical scenarios in fields such as energy, healthcare, traffic,…

Machine Learning · Computer Science 2025-03-14 Xiangjie Kong , Zhenghao Chen , Weiyao Liu , Kaili Ning , Lechao Zhang , Syauqie Muhammad Marier , Yichen Liu , Yuhao Chen , Feng Xia

Intuitively, one would expect a more skillful forecast if predicting weather averaged over one week instead of the weather averaged over one day, and similarly for different spatial averaging areas. However, there are few systematic studies…

Atmospheric and Oceanic Physics · Physics 2022-07-28 Ying Li , Samuel N. Stechmann

Flow-based models have proven successful for time-series generation, particularly when defined in lower-dimensional latent spaces that enable efficient sampling. However, how to design latent representations with desirable equivariance…

Machine Learning · Computer Science 2026-02-02 Camilo Carvajal Reyes , Felipe Tobar
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