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High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

Methodology · Statistics 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

A class of Fourier based statistics for irregular spaced spatial data is introduced, examples include, the Whittle likelihood, a parametric estimator of the covariance function based on the $L_{2}$-contrast function and a simple…

Statistics Theory · Mathematics 2016-11-03 Suhasini Subba Rao

Salient Span Masking (SSM) has shown itself to be an effective strategy to improve closed-book question answering performance. SSM extends general masked language model pretraining by creating additional unsupervised training sentences that…

Computation and Language · Computer Science 2023-03-24 Jeremy R. Cole , Aditi Chaudhary , Bhuwan Dhingra , Partha Talukdar

Spatial association measures for univariate static spatial data are widely used. When the data is in the form of a collection of spatial vectors with the same temporal domain of interest, we construct a measure of similarity between the…

Methodology · Statistics 2023-09-26 Divya Kappara , Arup Bose , Madhuchhanda Bhattacharjee

Climate change is leading to an increase in extreme weather events, causing significant environmental damage and loss of life. Early detection of such events is essential for improving disaster response. In this work, we propose…

Computer Vision and Pattern Recognition · Computer Science 2025-06-16 Heng Fang , Hossein Azizpour

With the aim to contribute to humanitarian response to disasters and violent events, scientists have proposed the development of analytical tools that could identify emergency events in real-time, using mobile phone data. The assumption is…

Physics and Society · Physics 2015-08-19 Adrian Dobra , Nathalie E. Williams , Nathan Eagle

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

We introduce the Statistical Asynchronous Regression (SAR) method: a technique for determining a relationship between two time varying quantities without simultaneous measurements of both quantities. We require that there is a time…

Statistical Mechanics · Physics 2015-06-24 T. P. O'Brien , D. Sornette , R. L. McPherron

This manuscript unites causal inference and spatial statistics, presenting novel insights for causal inference in spatial data analysis, and drawing from tools in spatial statistics to estimate causal effects. We introduce spatial causal…

Methodology · Statistics 2026-02-17 Georgia Papadogeorgou , Srijata Samanta

Gravitational wave astronomy relies on the use of multiple detectors, so that coincident detections may distinguish real signals from instrumental artifacts, and also so that relative timing of signals can provide the sky position of…

General Relativity and Quantum Cosmology · Physics 2015-05-28 Alexander Stroeer , Lindy Blackburn , Jordan Camp

Recent work in time-frequency analysis proposed to switch the focus from the maxima of the spectrogram toward its zeros, which, for signals corrupted by Gaussian noise, form a random point pattern with a very stable structure leveraged by…

Signal Processing · Electrical Eng. & Systems 2023-02-07 Barbara Pascal , Rémi Bardenet

Purpose: This paper aims to enhance bearing fault diagnosis in industrial machinery by introducing a novel method that combines Graph Attention Network (GAT) and Long Short-Term Memory (LSTM) networks. This approach captures both spatial…

We consider the detection of multivariate spatial clusters in the Bernoulli model with $N$ locations, where the design distribution has weakly dependent marginals. The locations are scanned with a rectangular window with sides parallel to…

Statistics Theory · Mathematics 2010-02-26 Guenther Walther

In this paper, we numerically address the inverse problem of identifying a time-dependent coefficient in the time-fractional diffusion equation. An a priori estimate is established to ensure uniqueness and stability of the solution. A fully…

Numerical Analysis · Mathematics 2026-01-27 Arshyn Altybay

In physics, it is frequently needed to precisely measure the count rate of some process. Quite often one needs to account for electronics dead time, pile-up and other features of data acquisition system to avoid systematic shifts of the…

Instrumentation and Detectors · Physics 2019-06-06 Alexander Nozik

The spatial scan statistic is widely used in epidemiology and medical studies as a tool to identify hotspots of diseases. The classical spatial scan statistic assumes the number of disease cases in different locations have independent…

Applications · Statistics 2009-09-29 Ji Meng Loh , Zhengyuan Zhu

Spatial time series (STS) data are fundamental to climate science, yet conventional approaches often conflate temporal co-evolution with genuine spatial dependence, obscuring subtle but critical climatic anomalies. We introduce a Random…

Methodology · Statistics 2026-04-10 Madhuchhanda Bhattacharjee , Arup Bose

Spatial scan statistics are well known and widely used methods for the detection of spatial clusters of events. In the field of spatial analysis of time-to-event data, several models of scan statistics have been proposed. However, these…

Methodology · Statistics 2022-09-02 Camille Frévent , Mohamed-Salem Ahmed , Sophie Dabo-Niang , Michaël Genin

The stochastic frontier model with heterogeneous technical efficiency explained by exoge-nous variables is augmented with a spatial-temporal component, a generalization relaxing the panel independence assumption in a panel data. The…

Methodology · Statistics 2021-04-29 Erniel B. Barrios , John D. Eustaquio , Rouselle F. Lavado

It is difficult to choose detection thresholds for tests of non-stationarity that assume {\em a priori} a noise model if the data is statistically uncharacterized to begin with. This is a potentially serious problem when an automated…

General Relativity and Quantum Cosmology · Physics 2009-12-30 Soumya D. Mohanty