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High-dimensional multivariate time series are challenging due to the dependent and high-dimensional nature of the data, but in many applications there is additional structure that can be exploited to reduce computing time along with…

Methodology · Statistics 2020-03-13 Michael Schweinberger , Sergii Babkin , Katherine Ensor

We analyze time series data of the fluctuations of slow solar wind velocity using rank order statistics. We selected a total of 18 datasets measured by the Helios spacecraft at a distance of 0.32 AU from the sun in the inner heliosphere.…

Solar and Stellar Astrophysics · Physics 2011-12-23 Vinita Suyal , Awadhesh Prasad , Harinder P. Singh

This paper presents a methodology for building daily profiles of wind generation and load for different seasons to assess their impacts on voltage violations. The measurement-based wind models showed very high accuracy when validated…

Systems and Control · Computer Science 2017-07-07 Malhar Padhee , Anamitra Pal , Katelynn A. Vance

Structured variational inference constitutes a core methodology in modern statistical applications. Unlike mean-field variational inference, the approximate posterior is assumed to have interdependent structure. We consider the natural…

Machine Learning · Statistics 2025-11-14 Shunan Sheng , Bohan Wu , Bennett Zhu , Sinho Chewi , Aram-Alexandre Pooladian

Using Bayesian analyses we study the solar electron density with the NANOGrav 11-year pulsar timing array (PTA) dataset. Our model of the solar wind is incorporated into a global fit starting from pulse times-of-arrival. We introduce new…

The paper presents a Gaussian/kernel process regression method for real-time state estimation and forecasting of phase angle and angular speed in systems with a high penetration of solar generation units, operating under a sparse…

Systems and Control · Electrical Eng. & Systems 2023-09-20 Mohammad Ensaf , Masoud Barati

The structure of the turbulence-driven power fluctuations in a wind farm is fundamentally described from basic concepts. A derived tuning-free model, supported with experiments, reveals the underlying spectral content of the power…

Data Analysis, Statistics and Probability · Physics 2018-01-22 Huiwen Liu , Yaqing Jin , Nicloas Tobin , Leonardo P. Chamorro

Characterizing compressible fluctuations in the solar wind is essential for understanding their role in solar wind acceleration and heating, yet their origin and evolution across different turbulence regimes remain poorly understood. In…

Plasma Physics · Physics 2026-04-13 C. A. Gonzalez , C. Gonzalez , A. Tenerani

Solar wind fluctuations, such as magnetic field or velocity, show power law power spectra suggestive both of an inertial range of intermittent turbulence (with $\sim -5/3$ exponent) and at lower frequencies, of fluctuations of coronal…

Astrophysics · Physics 2009-11-13 R. M. Nicol , S. C. Chapman , R. O. Dendy

We analyze the combined effect of Poynting-Robertson and solar wind drag on space debris. We derive a model within Cartesian, Gaussian and Hamiltonian frameworks. We focus on the geosynchronous resonance, although the results can be easily…

Earth and Planetary Astrophysics · Physics 2016-06-01 Christoph Lhotka , Alessandra Celletti , Catalin Gales

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 reconcile the two worlds of dense and sparse modeling by exploiting the positive aspects of both. We employ a factor model and assume {the dynamic of the factors is non-pervasive while} the idiosyncratic term follows a sparse vector…

Methodology · Statistics 2022-05-25 Jonas Krampe , Luca Margaritella

Much of our knowledge of quantum systems is encapsulated in the expectation value of Hermitian operators, experimentally obtained by averaging projective measurements. However, dynamical properties are often described by products of…

Quantum Physics · Physics 2025-06-27 E. Altuntas , R. G. Lena , S. Flannigan , A. J. Daley , I. B. Spielman

The power spectrum of the evolving solar wind shows evidence of a spectral break between an inertial range of turbulent fluctuations at higher frequencies and a "$1/f$" like region at lower frequencies. In the ecliptic plane at $\sim 1$ AU,…

Solar and Stellar Astrophysics · Physics 2009-09-24 R. M. Nicol , S. C. Chapman , R. O. Dendy

One of the main discoveries from the first two orbits of Parker Solar Probe (PSP) was the presence of magnetic switchbacks, whose deflections dominated the magnetic field measurements. Determining their shape and size could provide evidence…

The journey of the Sun through space carries the solar system through a dynamic interstellar environment that is presently characterized by Mach 1 motion between the heliosphere and the surrounding interstellar medium (ISM). The interaction…

Astrophysics of Galaxies · Physics 2015-06-24 P. C. Frisch , M. Bzowski , C. Drews , T. Leonard , G. Livadiotis , D. J. McComas , E. Moebius , N. A. Schwadron , J. M. Sokol

Wind turbines often work under complex conditions which result in performance degradation. Accurate performance degradation monitoring is essential to ensure the reliable operation of wind turbines and reduce the maintenance costs. Wind…

Applications · Statistics 2023-11-07 Peng Wang , Yanting Li , Fugee Tsung

In this letter we propose a practical methodology to interpret future Parker Solar Probe (PSP) turbulent time signals even when Taylor's hypothesis is not valid. By extending Kraichnan's sweeping model used in hydrodynamics we derive the…

Solar and Stellar Astrophysics · Physics 2019-07-10 Sofiane Bourouaine , Jean C Perez

Geostationary satellites collect high-resolution weather data comprising a series of images which can be used to estimate wind speed and direction at different altitudes. The Derived Motion Winds (DMW) Algorithm is commonly used to process…

Applications · Statistics 2023-09-13 Indranil Sahoo , Joseph Guinness , Brian J. Reich

We develop a generative neural network for the generation of sparse data in particle physics using a permutation-invariant and physics-informed loss function. The input dataset used in this study consists of the particle constituents of…

Data Analysis, Statistics and Probability · Physics 2021-10-01 Breno Orzari , Thiago Tomei , Maurizio Pierini , Mary Touranakou , Javier Duarte , Raghav Kansal , Jean-Roch Vlimant , Dimitrios Gunopulos