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(Abridged) Wavelet analysis can be used to measure the power spectrum of solar wind fluctuations along a line in any direction with respect to the local mean magnetic field. This technique is applied to study solar wind turbulence in…

Earth and Planetary Astrophysics · Physics 2011-02-11 J. J. Podesta

In contrast with the fast solar wind, that originates in coronal holes, the source of the slow solar wind is still debated. Often intermittent and enriched with low FIP elements -- akin to what is observed in closed coronal loops -- the…

Solar and Stellar Astrophysics · Physics 2020-06-03 Victor Réville , Marco Velli , Alexis Rouillard , Benoit Lavraud , Anna Tenerani , Chen Shi , Antoine Strugarek

Scientific fields such as insider-threat detection and highway-safety planning often lack sufficient amounts of time-series data to estimate statistical models for the purpose of scientific discovery. Moreover, the available limited data…

Machine Learning · Statistics 2018-03-16 Daniel Emaasit , Matthew Johnson

In this paper, we leverage Koopman mode decomposition to analyze the nonlinear and high-dimensional climate systems acting on the observed data space. The dynamics of atmospheric systems are assumed to be equation-free, with the linear…

Systems and Control · Electrical Eng. & Systems 2025-07-10 Zhicheng Zhang , Yoshihiko Susuki , Atsushi Okazaki

Imaging systems based on a narrow-band tunable filter are used to obtain Doppler velocity maps of solar features. These velocity maps are created by taking the difference between the blue- and red-wing intensity images of a chosen spectral…

Solar and Stellar Astrophysics · Physics 2010-09-16 Sreejith Padinhatteeri , R. Sridharan , K. Sankarasubramanian

Solar flares are extremely energetic phenomena in our Solar System. Their impulsive, often drastic radiative increases, in particular at short wavelengths, bring immediate impacts that motivate solar physics and space weather research to…

High time-resolution solar wind magnetic field data is employed to study statistics describing intermittency near the first perihelion (~35.6 Rs) of the Parker Solar Probe mission. A merged dataset employing two instruments on the FIELDS…

Space Physics · Physics 2021-04-21 Rohit Chhiber , William H. Matthaeus , Trevor A. Bowen , Stuart D. Bale

Wind-generated waves are often treated as stochastic processes. There is particular interest in their spectral density functions, which are often expressed in some parametric form. Such spectral density functions are used as inputs when…

Applications · Statistics 2021-03-26 Jake P. Grainger , Adam M. Sykulski , Philip Jonathan , Kevin Ewans

Sparse functional data arise when measurements are observed infrequently and at irregular time points for each subject, often in the presence of measurement error. These characteristics introduce additional challenges for functional…

Methodology · Statistics 2026-03-20 Uche Mbaka , Jiguo Cao , Michelle Carey

Empirical determination of the scaling properties and exponents of time series presents a formidable challenge in testing, and developing, a theoretical understanding of turbulence and other out-of-equilibrium phenomena. We discuss the…

Fluid Dynamics · Physics 2020-01-29 S. C. Chapman , B. Hnat , G. Rowlands , N. W. Watkins

This paper introduces a new sparse spatio-temporal structured Gaussian process regression framework for online and offline Bayesian inference. This is the first framework that gives a time-evolving representation of the interdependencies…

Machine Learning · Statistics 2018-08-01 Danil Kuzin , Olga Isupova , Lyudmila Mihaylova

Recent studies indicate that the effects of inter-annual climate-based variability in power system planning are significant and that long samples of demand & weather data (spanning multiple decades) should be considered. At the same time,…

Applications · Statistics 2019-05-30 Adriaan P Hilbers , David J Brayshaw , Axel Gandy

Solar energy forecasting has seen tremendous growth in the last decade using historical time series collected from a weather station, such as weather variables wind speed and direction, solar radiance, and temperature. It helps in the…

Machine Learning · Computer Science 2022-05-18 Soham Vyas , Yuvraj Goyal , Neel Bhatt , Sanskar Bhuwania , Hardik Patel , Shakti Mishra , Brijesh Tripathi

The transport of energetic particles in response to solar wind turbulence is important for space weather. To understand charged particle transport, it is usually assumed that the phase of the turbulence is randomly distributed (the random…

Space Physics · Physics 2023-05-09 Masaru Nakanotani , Lingling Zhao , Gary P. Zank

Causal inference in multivariate time series is challenging due to the fact that the sampling rate may not be as fast as the timescale of the causal interactions. In this context, we can view our observed series as a subsampled version of…

Methodology · Statistics 2017-04-11 Alex Tank , Emily B. Fox , Ali Shojaie

Parker Solar Probes's (PSP)'s unique orbital path allows us to observe the solar wind closer to the Sun than ever before. Essential to advancing our knowledge of solar wind and energetic particle formation is identifying the sources of PSP…

Solar and Stellar Astrophysics · Physics 2022-08-17 Samantha Wallace , Shaela I. Jones , C. Nick Arge , Nicholeen Viall , Carl J. Henney

For civil structures, structural damage due to severe loading events such as earthquakes, or due to long-term environmental degradation, usually occurs in localized areas of a structure. A new sparse Bayesian probabilistic framework for…

Applications · Statistics 2015-07-02 Yong Huang , James L. Beck

Context. There remains much mystery about how or if wave-energy in the photosphere can be transferred sufficiently upwards through the solar atmosphere to contribute to coronal heating. In light of a plethora of theoretical and idealised…

Solar and Stellar Astrophysics · Physics 2026-01-14 George Cherry , Boris Gudiksen , Adam J. Finley , Quentin Noraz

Renewable energy sources provide a constantly increasing contribution to the total energy production worldwide. However, the power generation from these sources is highly variable due to their dependence on meteorological conditions.…

Applications · Statistics 2019-03-05 Thordis Thorarinsdottir , Anders Løland , Alex Lenkoski

A fundamental requirement in the new generation of high resolution Cosmic Microwave Background imaging experiments is a strict control of systematic errors that must be kept at micro-K level in the final maps. Some of these errors are of…

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