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Modeling data with non-stationary covariance structure is important to represent heterogeneity in geophysical and other environmental spatial processes. In this work, we investigate a multistage approach to modeling non-stationary…

Methodology · Statistics 2020-02-05 Ashton Wiens , Douglas Nychka , William Kleibe

Knowledge about the background solar wind plays a crucial role in the framework of space weather forecasting. In-situ measurements of the background solar wind are only available for a few points in the heliosphere where spacecraft are…

Solar and Stellar Astrophysics · Physics 2013-12-05 C. Gressl , A. M. Veronig , M. Temmer , D. Odstrcil , J. A. Linker , Z. Mikic , P. Riley

This paper proposes a novel beamforming framework in the reproducing kernel domain, derived from a unified interpretation of directional response as spatial differentiation of the sound field. By representing directional response using…

Audio and Speech Processing · Electrical Eng. & Systems 2025-11-03 Takahiro Iwami , Naohisa Inoue , Akira Omoto

In this paper we estimate the dynamic parameters of a time-varying coefficient model through radial kernel functions in the context of a longitudinal study. Our proposal is based on a linear combination of weighted kernel functions…

Methodology · Statistics 2021-03-02 Juan Sosa , Lina Buitrago

Fine particulate matter (PM$_{2.5}$) has become a great concern worldwide due to its adverse health effects. PM$_{2.5}$ concentrations typically exhibit complex spatio-temporal variations. Both the mean and the spatio-temporal dependence…

Methodology · Statistics 2022-02-25 Ghulam A. Qadir , Ying Sun

The ambient solar wind plays a significant role in propagating interplanetary coronal mass ejections and is an important driver of space weather geomagnetic storms. A computationally efficient and widely used method to predict the ambient…

Space Physics · Physics 2023-09-21 Opal Issan , Pete Riley , Enrico Camporeale , Boris Kramer

Ambient air pollution measurements from regulatory monitoring networks are routinely used to support epidemiologic studies and environmental policy decision making. However, regulatory monitors are spatially sparse and preferentially…

Applications · Statistics 2026-03-02 Wenlong Gong , Brian J. Reich , Joseph Guinness

Due to computational efficiency and numerical stability limitations, coronal simulations constrained by static magnetograms are typically performed first and then used to drive inner-heliosphere (IH) models. In this paper, we calculate the…

Forecasting the future traffic flow distribution in an area is an important issue for traffic management in an intelligent transportation system. The key challenge of traffic prediction is to capture spatial and temporal relations between…

Machine Learning · Computer Science 2019-04-15 Shiheng Ma , Jingcai Guo , Song Guo , Minyi Guo

We develop a multiscale spatial kernel convolution technique with higher order functions to capture fine scale local features and lower order terms to capture large scale features. To achieve parsimony, the coefficients in the multiscale…

Methodology · Statistics 2018-04-02 Rajarshi Guhaniyogi , Bruno Sanso

Wind energy is becoming an increasingly crucial component of a sustainable grid, but its inherent variability and limited predictability present challenges for grid operators. The energy sector needs novel forecasting techniques that can…

Applications · Statistics 2023-12-05 Zheng Dong , Hanyu Zhang , Shixiang Zhu , Yao Xie , Pascal Van Hentenryck

The current availability of soil moisture data over large areas comes from satellite remote sensing technologies (i.e., radar-based systems), but these data have coarse resolution and often exhibit large spatial information gaps. Where data…

Machine Learning · Computer Science 2019-05-22 Danny Rorabaugh , Mario Guevara , Ricardo Llamas , Joy Kitson , Rodrigo Vargas , Michela Taufer

3D spatial information is known to be beneficial to the semantic segmentation task. Most existing methods take 3D spatial data as an additional input, leading to a two-stream segmentation network that processes RGB and 3D spatial…

Computer Vision and Pattern Recognition · Computer Science 2021-02-24 Lin-Zhuo Chen , Zheng Lin , Ziqin Wang , Yong-Liang Yang , Ming-Ming Cheng

We develop two new classes of space-time Gaussian process models by specifying covariance functions using what we call a half-spectral representation. The half-spectral representation of a covariance function, $K$, is a special case of…

Methodology · Statistics 2015-05-07 Michael T. Horrell , Michael L. Stein

Spatial models for areal data are often constructed such that all pairs of adjacent regions are assumed to have near-identical spatial autocorrelation. In practice, data can exhibit dependence structures more complicated than can be…

Methodology · Statistics 2024-07-04 Michael F. Christensen , Peter D. Hoff

The spatial random-effects model is flexible in modeling spatial covariance functions, and is computationally efficient for spatial prediction via fixed rank kriging. However, the success of this model depends on an appropriate set of basis…

Methodology · Statistics 2015-04-23 ShengLi Tzeng , Hsin-Cheng Huang

Accurate short-term wind speed forecasting is needed for the rapid development and efficient operation of wind energy resources. This is, however, a very challenging problem. Although on the large scale, the wind speed is related to…

Applications · Statistics 2014-12-08 Xinxin Zhu , Kenneth P. Bowman , Marc G. Genton

The integration of physical relationships into stochastic models is of major interest e.g. in data assimilation. Here, a multivariate Gaussian random field formulation is introduced, which represents the differential relations of the…

Applications · Statistics 2018-02-14 Rüdiger Hewer , Petra Friederichs , Andreas Hense , Martin Schlather

Environmental and climate processes are often distributed over large space-time domains. Their complexity and the amount of available data make modelling and analysis a challenging task. Statistical modelling of environment and climate data…

Methodology · Statistics 2019-10-02 Behnaz Pirzamanbein

Accurate wind pattern modelling is crucial for various applications, including renewable energy, agriculture, and climate adaptation. In this paper, we introduce the wrapped Gaussian spatial process (WGSP), as well as the projected Gaussian…

Applications · Statistics 2023-11-13 Jacobus S. Blom , Priyanka Nagar , Andriette Bekker