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This paper discusses several modern approaches to regression analysis involving time series data where some of the predictor variables are also indexed by time. We discuss classical statistical approaches as well as methods that have been…

Methodology · Statistics 2020-11-02 Stephanie Clark , Rob J Hyndman , Dan Pagendam , Louise M Ryan

Interval-valued data receives much attention due to its wide applications in the fields of finance, econometrics, meteorology and medicine. However, most regression models developed for interval-valued data assume observations are mutually…

Applications · Statistics 2022-10-31 Tingting Huang

We study the problem of predicting rare critical transition events for a class of slow-fast nonlinear dynamical systems. The state of the system of interest is described by a slow process, whereas a faster process drives its evolution and…

Computational Physics · Physics 2020-12-14 Soon Hoe Lim , Ludovico Theo Giorgini , Woosok Moon , J. S. Wettlaufer

A novel method for real-time solar generation forecast using weather data, while exploiting both spatial and temporal structural dependencies is proposed. The network observed over time is projected to a lower-dimensional representation…

Machine Learning · Computer Science 2022-06-20 Mohammad Alqudah , Tatjana Dokic , Mladen Kezunovic , Zoran Obradovic

We propose a data-driven framework to simplify the description of spatiotemporal climate variability into few entities and their causal linkages. Given a high-dimensional climate field, the methodology first reduces its dimensionality into…

Atmospheric and Oceanic Physics · Physics 2024-04-08 Fabrizio Falasca , Pavel Perezhogin , Laure Zanna

Predicting chaotic systems is crucial for understanding complex behaviors, yet challenging due to their sensitivity to initial conditions and inherent unpredictability. Probabilistic Reservoir Computing (RC) is well-suited for long-term…

Materials Science · Physics 2024-07-03 Cen Wang , Xinyao Lei , Kaiming Cai , Xiaofei Yang , Yue Zhang

Numerical weather forecasting using high-resolution physical models often requires extensive computational resources on supercomputers, which diminishes their wide usage in most real-life applications. As a remedy, applying deep learning…

Machine Learning · Computer Science 2023-10-06 Selim Furkan Tekin , Arda Fazla , Suleyman Serdar Kozat

The Meteorology is a field where huge amounts of data are generated, mainly collected by sensors at weather stations, where different variables can be measured. Those data have some particularities such as high volume and dimensionality,…

Machine Learning · Computer Science 2025-10-27 Shadi Aljawarneh , Juan A. Lara , Muneer Bani Yassein

Next Generation Reservoir Computing (NGRC) is a low-cost machine learning method for forecasting chaotic time series from data. Computational efficiency is crucial for scalable reservoir computing, requiring better strategies to reduce…

Machine Learning · Statistics 2025-11-18 Edmilson Roque dos Santos , Erik Bollt

Climate change is causing the intensification of rainfall extremes. Precipitation projections with high spatial resolution are important for society to prepare for these changes, e.g. to model flooding impacts. Physics-based simulations for…

Atmospheric and Oceanic Physics · Physics 2022-11-30 Henry Addison , Elizabeth Kendon , Suman Ravuri , Laurence Aitchison , Peter AG Watson

Recent research has demonstrated Reservoir Computing's capability to model various chaotic dynamical systems, yet its application to Hamiltonian systems remains relatively unexplored. This paper investigates the effectiveness of Reservoir…

Computational Engineering, Finance, and Science · Computer Science 2025-07-18 Abrari Noor Hasmi , Hadi Susanto

Electricity is difficult to store, except at prohibitive cost, and therefore the balance between generation and load must be maintained at all times. Electricity is traditionally managed by anticipating demand and intermittent production…

Machine Learning · Computer Science 2024-09-26 Julie Keisler , Margaux Bregere

The demand for high-resolution information on climate change is critical for accurate projections and decision-making. Presently, this need is addressed through high-resolution climate models or downscaling. High-resolution models are…

The increasing popularity of machine learning solutions puts increasing restrictions on this field if it is to penetrate more aspects of life. In particular, energy efficiency and speed of operation is crucial, inter alia in portable…

Emerging Technologies · Computer Science 2020-01-14 Dawid Przyczyna , Sébastien Pecqueur , Dominique Vuillaume , Konrad Szaciłowski

Short-term forecasting models typically assume the availability of input data (features) when they are deployed and in use. However, equipment failures, disruptions, cyberattacks, may lead to missing features when such models are used…

Machine Learning · Statistics 2025-06-30 Akylas Stratigakos , Panagiotis Andrianesis

Extreme precipitation wreaks havoc throughout the world, causing billions of dollars in damage and uprooting communities, ecosystems, and economies. Accurate extreme precipitation prediction allows more time for preparation and disaster…

Machine Learning · Computer Science 2022-02-01 Weichen Huang

Reservoir computing systems, a class of recurrent neural networks, have recently been exploited for model-free, data-based prediction of the state evolution of a variety of chaotic dynamical systems. The prediction horizon demonstrated has…

Machine Learning · Computer Science 2020-04-06 Huawei Fan , Junjie Jiang , Chun Zhang , Xingang Wang , Ying-Cheng Lai

Projection of changes in extreme indices of climate variables such as temperature and precipitation are critical to assess the potential impacts of climate change on human-made and natural systems, including critical infrastructures and…

Computer Vision and Pattern Recognition · Computer Science 2020-09-24 Nidhin Harilal , Udit Bhatia , Mayank Singh

In areal unit data with missing or suppressed data, it desirable to create models that are able to predict observations that are not available. Traditional statistical methods achieve this through Bayesian hierarchical models that can…

Methodology · Statistics 2023-12-20 Cara MacBride , Vinny Davies , Duncan Lee

Reservoir computing (RC) is a novel approach to time series prediction using recurrent neural networks. In RC, an input signal perturbs the intrinsic dynamics of a medium called a reservoir. A readout layer is then trained to reconstruct a…

Neural and Evolutionary Computing · Computer Science 2014-01-13 Alireza Goudarzi , Peter Banda , Matthew R. Lakin , Christof Teuscher , Darko Stefanovic