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Multivariate spatially-oriented data sets are prevalent in the environmental and physical sciences. Scientists seek to jointly model multiple variables, each indexed by a spatial location, to capture any underlying spatial association for…

Methodology · Statistics 2021-08-19 Lu Zhang , Sudipto Banerjee

The increasing penetration of renewable energy resources in power systems, represented as random processes, converts the traditional deterministic economic dispatch problem into a stochastic one. To solve this stochastic economic dispatch,…

Systems and Control · Electrical Eng. & Systems 2019-09-23 Zhixiong Hu , Yijun Xu , Mert Korkali , Xiao Chen , Lamine Mili , Charles H. Tong

Power loss mechanisms in large wind farms are complex due to the multiscale nature of wind farm aerodynamics. Recent studies based on the two-scale momentum theory have brought new insights into this field; however, most of them have been…

Fluid Dynamics · Physics 2025-08-06 Takafumi Nishino , Amanda S. M. Smyth

We develop stochastic mixed finite element methods for spatially adaptive simulations of fluid-structure interactions when subject to thermal fluctuations. To account for thermal fluctuations, we introduce a discrete fluctuation-dissipation…

Mesoscale and Nanoscale Physics · Physics 2023-02-28 Pat Plunkett , Jon Hu , Chris Siefert , Paul J. Atzberger

We obtain an approximate Gaussian distribution from a Poisson distribution after doing a change of variable. A new chi-square function is obtained which can be used for parameter estimations and goodness-of-fit testing when adjusting curves…

High Energy Physics - Experiment · Physics 2009-10-31 F. M. L. Almeida , M. Barbi , M. A. B. do Vale

Designing a covariance function that represents the underlying correlation is a crucial step in modeling complex natural systems, such as climate models. Geospatial datasets at a global scale usually suffer from non-stationarity and…

Machine Learning · Statistics 2015-07-10 Chintan A. Dalal , Vladimir Pavlovic , Robert E. Kopp

Wind farms are a crucial driver toward the generation of ecological and renewable energy. Due to their rapid increase in capacity, contemporary wind farms need to adhere to strict constraints on power output to ensure stability of the…

We present a novel approach to optimize wind farm layouts for maximum annual energy production (AEP). The optimization effort requires efficient wake models to predict the wake flow and, subsequently, the power generation of wind farms with…

Wind energy has significant potential owing to the continuous growth of wind power and advancements in technology. However, the evolution of wind speed is influenced by the complex interaction of multiple factors, making it highly variable.…

Applications · Statistics 2025-07-09 Yijun Geng , Jianzhou Wang , Jinze Li , Zhiwu Li

We consider distributed estimation of a Gaussian vector with a linear observation model in an inhomogeneous wireless sensor network, where a fusion center (FC) reconstructs the unknown vector, using a linear estimator. Sensors employ…

Information Theory · Computer Science 2016-08-24 Alireza Sani , Azadeh Vosoughi

High-fidelity large-eddy simulations are suitable to obtain insight into the complex flow dynamics in extended wind farms. In order to better understand these flow dynamics, we use dynamic mode decomposition (DMD) to analyze and reconstruct…

Fluid Dynamics · Physics 2022-04-26 Xuan Dai , Da Xu , Mengqi Zhang , Richard J. A. M. Stevens

In recent years, wake steering has been established as a promising method to increase the energy yield of a wind farm. Current practice in estimating the benefit of wake steering on the annual energy production (AEP) consists of evaluating…

The simulation of stochastic wind loads is necessary for many applications in wind engineering. The proper orthogonal decomposition (POD)-based spectral representation method is a popular approach used for this purpose due to its…

Computational Engineering, Finance, and Science · Computer Science 2023-05-11 Thays Guerra Araujo Duarte , Srinivasan Arunachalam , Arthriya Subgranon , Seymour M J Spence

Gaussian processes are a natural way of defining prior distributions over functions of one or more input variables. In a simple nonparametric regression problem, where such a function gives the mean of a Gaussian distribution for an…

Data Analysis, Statistics and Probability · Physics 2008-02-03 Radford M. Neal

This work introduces a novel approach for generating conditional probabilistic rainfall forecasts with temporal and spatial dependence. A two-step procedure is employed. Firstly, marginal location-specific distributions are jointly…

Methodology · Statistics 2025-03-31 David Huk , Rilwan A. Adewoyin , Ritabrata Dutta

In this paper we present a new technique for analysis of transverse momentum dependent parton distribution functions, based on the Bessel weighting formalism. The procedure is applied to studies of the double longitudinal spin asymmetry in…

High Energy Physics - Phenomenology · Physics 2015-06-22 M. Aghasyan , H. Avakian , E. De Sanctis , L. Gamberg , M. Mirazita , B. Musch , A. Prokudin , P. Rossi

Real-world signals typically span across multiple dimensions, that is, they naturally reside on multi-way data structures referred to as tensors. In contrast to standard ``flat-view'' multivariate matrix models which are agnostic to data…

Signal Processing · Electrical Eng. & Systems 2019-12-04 Bruno Scalzo Dees , Anh-Huy Phan , Danilo P. Mandic

Analysing non-Gaussian spatial-temporal data requires introducing spatial as well as temporal dependence in generalised linear models through the link function of an exponential family distribution. Unlike in Gaussian likelihoods, inference…

Methodology · Statistics 2025-12-29 Soumyakanti Pan , Lu Zhang , Jonathan R. Bradley , Sudipto Banerjee

In this paper we describe the construction of an efficient probabilistic parameterization that could be used in a coarse-resolution numerical model in which the variation of moisture is not properly resolved. An Eulerian model using a…

Atmospheric and Oceanic Physics · Physics 2018-10-30 Yue-Kin Tsang , Geoffrey K. Vallis

Large, non-Gaussian spatial datasets pose a considerable modeling challenge as the dependence structure implied by the model needs to be captured at different scales, while retaining feasible inference. Skew-normal and skew-t distributions…

Methodology · Statistics 2017-12-07 Felipe Tagle , Stefano Castruccio , Marc G. Genton
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