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Cyclostationary linear inverse models (CS-LIMs), generalized versions of the classical (stationary) LIM, are advanced data-driven techniques for extracting the first-order time-dependent dynamics and random forcing relevant information from…

Numerical Analysis · Mathematics 2025-05-01 Justin Lien , Yan-Ning Kuo , Hiroyasu Ando

Computing the agreement between two continuous sequences is of great interest in statistics when comparing two instruments or one instrument with a gold standard. The probability of agreement (PA) quantifies the similarity between two…

Methodology · Statistics 2025-05-20 Jonathan Acosta , Ronny Vallejos , Aaron M. Ellison , Felipe Osorio , Mario de Castro

We introduce a nonstationary spatio-temporal statistical model for gridded data on the sphere. The model specifies a computationally convenient covariance structure that depends on heterogeneous geography. Widely used statistical models on…

Applications · Statistics 2016-02-25 Stefano Castruccio , Joseph Guinness

In climate and atmospheric research, many phenomena involve more than one meteorological spatial processes covarying in space. To understand how one process is affected by another, maximum covariance analysis (MCA) is commonly applied.…

Methodology · Statistics 2017-05-09 Wen-Ting Wang , Hsin-Cheng Huang

This article focuses on the robust principal component analysis (PCA) of high-dimensional data with elliptical distributions. We investigate the PCA of the sample spatial-sign covariance matrix in both nonsparse and sparse contexts,…

Methodology · Statistics 2025-07-08 Ping Zhao , Hongfei Wang , Long Feng

We explore possibilities of improving the spatial structure of NOx emissions employed in a continental scale chemistry transport model (CTM) by using satellite measurements of nitrogen dioxide and ground-based observations of near surface…

Atmospheric and Oceanic Physics · Physics 2007-05-23 I. B. Konovalov , M. Beekmann , A. Richter , J. P. Burrows

We use Principal Component Analysis (PCA) to study the gas dynamics in numerical simulations of typical MCs. Our simulations account for the non-isothermal nature of the gas and include a simplified treatment of the time-dependent gas…

Solar and Stellar Astrophysics · Physics 2015-06-18 Erik Bertram , Rahul Shetty , Simon C. O. Glover , Ralf S. Klessen , Julia Roman-Duval , Christoph Federrath

Principal Components Analysis (PCA) and Independent Component Analysis (ICA) are used to identify global patterns in solar and space data. PCA seeks orthogonal modes of the two-point correlation matrix constructed from a data set. It…

Astrophysics · Physics 2009-11-13 A. C. Cadavid , J. K. Lawrence , A. Ruzmaikin

Physics-based models capture broad spatial and temporal dynamics, but often suffer from biases and numerical approximations, while observations capture localized variability but are sparse. Integrating these complementary data modalities is…

Methodology · Statistics 2025-06-23 Atlanta Chakraborty , Julie Bessac

Extreme streamflow is a key indicator of flood risk, and quantifying the changes in its distribution under non-stationary climate conditions is key to mitigating the impact of flooding events. We propose a non-stationary process mixture…

Methodology · Statistics 2024-05-08 Reetam Majumder , Brian Reich

While dust is a key parameter of Mars climate, its behaviour from one year to the next can appear erratic. This variability is notably related to Global Dust Storms (GDS) which occur only certain years with different onset, duration and…

Earth and Planetary Astrophysics · Physics 2025-02-26 Yann Leseigneur , Mathieu Vincendon

This study investigates how conditional normalizing flows can be applied to remote sensing data products in climate science for spatio-temporal prediction. The method is chosen due to its desired properties such as exact likelihood…

Machine Learning · Computer Science 2024-06-03 Christina Winkler , David Rolnick

The solar wind is a dynamic plasma outflow that shapes heliospheric conditions and drives space weather. Identifying its large-scale phenomena is crucial, yet the increasing volume of high-cadence Parker Solar Probe (PSP) observations poses…

Solar and Stellar Astrophysics · Physics 2025-11-03 Valmir P Moraes Filho , Daniela Martin , Jasmine R. Kobayashi , Connor O'Brien , Jinsu Hong , Evangelia Samara , Joseph Gallego

Sampling of a spatiotemporal field for environmental sensing is of interest. Traditionally, a few fixed stations or sampling locations aid in the reconstruction of the spatial field. Recently, there has been an interest in mobile sensing…

Information Theory · Computer Science 2017-12-06 Sudeep Salgia , Animesh Kumar

Standard geostatistical models assume stationarity and rely on a variogram model to account for the spatial dependence in the observed data. In some instances, this assumption that the spatial dependence structure is constant throughout the…

Methodology · Statistics 2022-12-16 Dave Higdon , Jenise Swall , John Kern

The availability of massive earth observing satellite data provide huge opportunities for land use and land cover mapping. However, such mapping effort is challenging due to the existence of various land cover classes, noisy data, and the…

Computer Vision and Pattern Recognition · Computer Science 2021-09-29 Rahul Ghosh , Praveen Ravirathinam , Xiaowei Jia , Chenxi Lin , Zhenong Jin , Vipin Kumar

For security, environmental, and regulatory purposes it is useful to continuously monitor wide areas for unexpected changes in radioactivity. We report on a temporal anomaly detection algorithm which uses mobile detectors to build a spatial…

Data Analysis, Statistics and Probability · Physics 2014-07-10 Alex Reinhart , Alex Athey , Steven Biegalski

El Ni\~no-Southern Oscillation (ENSO) is the most prominent interannual climate variability in the tropics and exhibits diverse features in spatiotemporal patterns. In this paper, a simple multiscale intermediate coupled stochastic model is…

Atmospheric and Oceanic Physics · Physics 2022-06-15 Nan Chen , Xianghui Fang

The total electron content (TEC) over the Iberian Peninsula was modelled using PCA-MRM models based on decomposition of the observed TEC series using the principal component analysis (PCA) and reconstruction of the daily modes amplitudes by…

Geophysics · Physics 2022-01-11 Anna L. Morozova , Teresa Barata , Tatiana Barlyaeva

Nonlinear regression is a useful statistical tool, relating observed data and a nonlinear function of unknown parameters. When the parameter-dependent nonlinear function is computationally intensive, a straightforward regression analysis by…

Applications · Statistics 2009-01-26 Dorin Drignei , Chris E. Forest , Doug Nychka