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Wind and solar power are known to be highly influenced by weather events and may ramp up or down abruptly. Such events in the power production influence not only the availability of energy, but also the stability of the entire power grid.…

Data Analysis, Statistics and Probability · Physics 2016-07-20 M. Anvari , G. Lohmann , M. Wächter , P. Milan , E. Lorenz , D. Heinemann , M. Reza Rahimi Tabar , Joachim Peinke

Random walks are a fundamental model in applied mathematics and are a common example of a Markov chain. The limiting stationary distribution of the Markov chain represents the fraction of the time spent in each state during the stochastic…

Numerical Analysis · Computer Science 2018-01-08 Austin R. Benson , David F. Gleich , Lek-Heng Lim

We introduce weighted Markovian graphs, a random walk model that decouples the transition dynamics of a Markov chain from (random) edge weights representing the cost of traversing each edge. This decoupling allows us to study the…

Optimization and Control · Mathematics 2026-03-30 Thao Le , Robbert van der Burg , Bernd Heidergott , Ines Lindner , Alessandro Zocca

The CO2 gas transfer velocity (KCO2) at air-water interface in a wind-wave flume was estimated at the circumstance of wave breaking. Three types of dynamic processes in the flume were created: monochromatic waves generated by wavemaker,…

Atmospheric and Oceanic Physics · Physics 2021-11-24 Shuo Li , Alexander V. Babanin , Fangli Qiao , Dejun Dai , Shumin Jiang , Changlong Guan

We study the applicability of GNNs to the problem of wind energy forecasting. We find that certain architectures achieve performance comparable to our best CNN-based benchmark. The study is conducted on three wind power facilities using…

Machine Learning · Computer Science 2025-07-02 Javier Castellano , Ignacio Villanueva

In machine learning, a nonparametric forecasting algorithm for time series data has been proposed, called the kernel spectral hidden Markov model (KSHMM). In this paper, we propose a technique for short-term wind-speed prediction based on…

Machine Learning · Statistics 2018-11-16 Shunsuke Tsuzuki , Yu Nishiyama

A Markov chain is considered whose states are orderings of an underlying fixed tree and whose transitions are local "random-to-front" reorderings, driven by a probability distribution on subsets of the leaves. The eigenvalues of the…

Probability · Mathematics 2009-01-28 Anders Björner

We study various dynamical properties (winding angles, areas) of a set of harmonically bound Brownian particles (monomers), one endpoint of this chain being kept fixed at the origin 0. In particular, we show that, for long times t, the…

Statistical Mechanics · Physics 2007-05-23 Olivier Benichou , Jean Desbois

1. Movement is the primary means by which animals obtain resources and avoid hazards. Most movement exhibits directional bias that is related to environmental features (taxis), such as the location of food patches, predators, ocean…

Quantitative Methods · Quantitative Biology 2021-07-30 Ron R. Togunov , Andrew E. Derocher , Nicholas J. Lunn , Marie Auger-Méthé

We use magnetograms of 8 solar analogues of ages 30~Myr to 3.6~Gyr obtained from Zeeman Doppler Imaging (ZDI) and taken from the literature, together with two solar magnetograms, to drive magnetohydrodynamical (MHD) wind simulations and…

Solar and Stellar Astrophysics · Physics 2018-04-11 Quentin Pognan , Cecilia Garraffo , Ofer Cohen , Jeremy J. Drake

Probabilistic forecasts of wind speed are important for a wide range of applications, ranging from operational decision making in connection with wind power generation to storm warnings, ship routing and aviation. We present a statistical…

Applications · Statistics 2016-08-06 Michael Scheuerer , David Möller

Machine learning algorithms have been applied to predict agent behaviors in real-world dynamic systems, such as advertiser behaviors in sponsored search and worker behaviors in crowdsourcing. The behavior data in these systems are generated…

Machine Learning · Computer Science 2014-07-14 Fei Tian , Haifang Li , Wei Chen , Tao Qin , Enhong Chen , Tie-Yan Liu

Detecting recurrent weather patterns and understanding the transitions between such regimes are key to advancing our knowledge on the low-frequency variability of the atmosphere and have important implications in terms of weather and…

Atmospheric and Oceanic Physics · Physics 2024-12-24 Sebastian Springer , Vera Melinda Galfi , Alessandro Laio , Valerio Lucarini

Wind speed retrieval at sea surface is of primary importance for scientific and operational applications. Besides weather models, in-situ measurements and remote sensing technologies, especially satellite sensors, provide complementary…

Machine Learning · Computer Science 2022-08-19 Matteo Zambra , Dorian Cazau , Nicolas Farrugia , Alexandre Gensse , Sara Pensieri , Roberto Bozzano , Ronan Fablet

We study the stochastic motion of active particles that undergo spontaneous transitions between two distinct modes of motion. Each mode is characterized by a velocity distribution and an arbitrary (anti-)persistence. We present an…

Statistical Mechanics · Physics 2023-07-07 M. Reza Shaebani , Heiko Rieger , Zeinab Sadjadi

Advances in Geographical Information Systems (GIS) have led to the enormous recent burgeoning of spatial-temporal databases and associated statistical modeling. Here we depart from the rather rich literature in space-time modeling by…

Applications · Statistics 2013-04-17 Harrison Quick , Sudipto Banerjee , Bradley P. Carlin

In the context of renewable energies, wind energy appears as a sustainable alternative to address current environmental and energy challenges. This work studies the synchronization and stability of a network of wind turbines subjected to…

High-quality wind power forecasting is crucial for the operation of modern power grids. However, prevailing data-driven paradigms either train a site-specific model which cannot generalize to other locations or rely on fine-tuning of…

Machine Learning · Computer Science 2025-09-09 Hang Fan , Yu Shi , Zongliang Fu , Shuo Chen , Wei Wei , Wei Xu , Jian Li

M dwarf stars are currently the main targets in searches for potentially habitable planets. However, their winds have been suggested to be harmful to planetary atmospheres. Here, in order to better understand the winds of M dwarfs and also…

Solar and Stellar Astrophysics · Physics 2020-04-01 Amanda Mesquita , Aline Vidotto

Flowgraph models provide an alternative approach in modeling a multi-state stochastic process. One of the most widely used stochastic processes that have many real-world applications especially in actuarial models is the Markov jump process…

Applications · Statistics 2016-11-07 Muhammad Fikri Budiana , Murwan H. M. A. Siddig