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Spatiotemporal forecasting is critical for real-world applications like traffic management, yet capturing reliable interactions remains challenging under noisy and non-stationary conditions. Existing methods primarily rely on historical…

Machine Learning · Computer Science 2026-05-20 Yinghao Ai , Yukai Zhou , Ruoxi Jiang , Junyi An , Chao Qu , Zhijian Zhou , Shiyu Wang , Fenglei Cao , Zenglin Xu , Furao Shen , Yuan Qi

Modelling the intermittency of wind speed has got significant relevance on many fields, including wind power generation and distribution. Most of the available modelling techniques assume the temporal fluctuations in the wind is stochastic…

Atmospheric and Oceanic Physics · Physics 2022-04-15 G V Drisya , Alex Thumba

Dynamic mode decomposition (DMD) is a recently developed tool for the analysis of the behavior of complex dynamical systems. In this paper, we will propose an extension of DMD that exploits low-rank tensor decompositions of potentially…

Numerical Analysis · Mathematics 2019-08-14 Stefan Klus , Patrick Gelß , Sebastian Peitz , Christof Schütte

We suggest a mechanism based on spike time dependent plasticity (STDP) of synapses to store, retrieve and predict temporal sequences. The mechanism is demonstrated in a model system of simplified integrate-and-fire type neurons densely…

Adaptation and Self-Organizing Systems · Physics 2009-11-07 Thomas Nowotny , Misha I. Rabinovich , Henry D. I. Abarbanel

Modal decomposition techniques are important tools for the analysis of unsteady flows and, in order to provide meaningful insights with respect to coherent structures and their characteristic frequencies, the modes must possess a robust…

Fluid Dynamics · Physics 2023-08-24 Lucas F. de Souza , Renato F. Miotto , William R. Wolf

Spatiotemporal Traffic Data (STTD) measures the complex dynamical behaviors of the multiscale transportation system. Existing methods aim to reconstruct STTD using low-dimensional models. However, they are limited to data-specific…

Machine Learning · Computer Science 2024-10-25 Tong Nie , Guoyang Qin , Wei Ma , Jian Sun

We study the scaling behaviors in the wind velocity time series collected at the atmospheric surface layer and compare them with two commonly used cascade models, the truncated stable distribution and the log-normal model. Results show that…

Fluid Dynamics · Physics 2012-12-03 Lei Liu , Fei Hu

Spatiotemporal dynamics pervade the natural sciences, from the morphogen dynamics underlying patterning in animal pigmentation to the protein waves controlling cell division. A central challenge lies in understanding how controllable…

Pattern Formation and Solitons · Physics 2025-03-03 Matthew Ricci , Guy Pelc , Zoe Piran , Noa Moriel , Mor Nitzan

Statistical tools are crucial for studying and modeling turbulent flows, where chaotic velocity fluctuations span a wide range of spatial and temporal scales. Advances in image velocimetry, especially in tracking-based methods, now allow…

Fluid Dynamics · Physics 2025-02-19 Miguel A. Mendez , Manuel Ratz , Damien Rigutto

Accurately representing surface weather at the sub-kilometer scale is crucial for optimal decision-making in a wide range of applications. This motivates the use of statistical techniques to provide accurate and calibrated probabilistic…

Atmospheric and Oceanic Physics · Physics 2024-11-15 Francesco Zanetta , Daniele Nerini , Matteo Buzzi , Henry Moss

Spatially localized states play an important role in transition to turbulence in shear flows (Kawahara, Uhlmann & van Veen, Annu. Rev. Fluid Mech. 44, 203 (2012)). Despite the fact that some of them are attractors on the separatrix between…

Fluid Dynamics · Physics 2016-04-18 Rishabh Gvalani , Cédric Beaume

Heteroscedastic Gaussian process regression, based on the concept of chained Gaussian processes, is used to build surrogates to predict site-specific loads on an offshore wind turbine. Stochasticity in the inflow turbulence and irregular…

Applications · Statistics 2022-06-15 Deepali Singh , Richard P. Dwight , Kasper Laugesen , Laurent Beaudet , Axelle Viré

Accurate wind speed forecasting is of great importance for many economic, business and management sectors. This paper introduces a new model based on convolutional neural networks (CNNs) for wind speed prediction tasks. In particular, we…

Machine Learning · Computer Science 2020-07-27 Kevin Trebing , Siamak Mehrkanoon

Accurate modeling of the complex dynamics of fluid flows is a fundamental challenge in computational physics and engineering. This study presents an innovative integration of High-Order Singular Value Decomposition (HOSVD) with Long…

As climate change intensifies, the shift to cleaner energy sources becomes increasingly urgent. With wind energy production set to accelerate, reliable wind probabilistic forecasts are essential to ensure its efficient use. However, since…

Machine Learning · Computer Science 2024-10-08 Jean-Sébastien Giroux , Simon-Philippe Breton , Julie Carreau

A purely analytical wake model for wind turbines is derived, anchored exclusively in physical interactions between atmospheric turbulence and turbine dynamics, and thus inherently accounting for atmospheric stratification. Unlike empirical…

Atmospheric and Oceanic Physics · Physics 2025-10-21 Emeline Noël , Erwan Jézéquel , Pierre-Antoine Joulin

Aggregated stochastic characteristics of geographically distributed wind generation will provide valuable information for secured and economical system operation in electricity markets. This paper focuses on the uncertainty set prediction…

Systems and Control · Electrical Eng. & Systems 2021-10-08 Xiaopeng Li , Jiang Wu , Zhanbo Xu , Kun Liu , Jun Yu , Xiaohong Guan

With the growing capabilities of Geographic Information Systems (GIS) and user-friendly software, statisticians today routinely encounter geographically referenced data containing observations from a large number of spatial locations and…

Methodology · Statistics 2017-05-23 Sudipto Banerjee

Numerical simulations can follow the evolution of fluid motions through the intricacies of developed turbulence. However, they are rather costly to run, especially in 3D. In the past two decades, generative models have emerged which produce…

Wind speed at sea surface is a key quantity for a variety of scientific applications and human activities. Due to the non-linearity of the phenomenon, a complete description of such variable is made infeasible on both the small scale and…

Machine Learning · Computer Science 2024-10-28 Matteo Zambra , Nicolas Farrugia , Dorian Cazau , Alexandre Gensse , Ronan Fablet