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Related papers: A Design-Based Approach to Spatial Correlation

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Multiple stochastic signals possess inherent statistical correlations, yet conventional sampling methods that process each channel independently result in data redundancy. To leverage this correlation for efficient sampling, we model…

Signal Processing · Electrical Eng. & Systems 2025-09-18 Lin Jin , Hang Sheng , Hui Feng , Bo Hu

The robustness of machine learning models can be compromised by spurious correlations between non-causal features in the input data and target labels. A common way to test for such correlations is to train on data where the label is…

Computer Vision and Pattern Recognition · Computer Science 2026-04-16 Akshit Achara , Yovin Yathathugoda , Nick Byrne , Michela Antonelli , Esther Puyol Anton , Alexander Hammers , Andrew P. King

Testing for dependence has been a well-established component of spatial statistical analyses for decades. In particular, several popular test statistics have desirable properties for testing for the presence of spatial autocorrelation in…

Applications · Statistics 2020-02-25 Youjin Lee , Elizabeth L. Ogburn

Spatial documentation is exponentially increasing given the availability of Big IoT Data, enabled by the devices miniaturization and data storage capacity. Bayesian spatial statistics is a useful statistical tool to determine the dependence…

Methodology · Statistics 2020-10-01 Francisco Louzada , Diego C. Nascimento , Osafu Augustine Egbon

Conformal Prediction (CP) algorithms estimate the uncertainty of a prediction model by calibrating its outputs on labeled data. The same calibration scheme usually applies to any model and data without modifications. The obtained prediction…

Machine Learning · Computer Science 2024-06-27 Nicolo Colombo

In this paper, we address the problem of predicting a response variable in the context of both, spatially correlated and high-dimensional data. To reduce the dimensionality of the predictor variables, we apply the sufficient dimension…

Methodology · Statistics 2025-02-06 Liliana Forzani , Rodrigo García Arancibia , Antonella Gieco , Pamela Llop , Anne Yao

When modeling geo-spatial data, it is critical to capture spatial correlations for achieving high accuracy. Spatial Auto-Regression (SAR) is a common tool used to model such data, where the spatial contiguity matrix (W) encodes the spatial…

Computer Vision and Pattern Recognition · Computer Science 2016-10-18 Archith J. Bency , Swati Rallapalli , Raghu K. Ganti , Mudhakar Srivatsa , B. S. Manjunath

A new robust correlation estimator based on the spatial sign covariance matrix (SSCM) is proposed. We derive its asymptotic distribution and influence function at elliptical distributions. Finite sample and robustness properties are studied…

Methodology · Statistics 2022-04-12 Alexander Dürre , Daniel Vogel , Roland Fried

In analyses of spatially-referenced data, researchers often have one of two goals: to quantify relationships between a response variable and covariates while accounting for residual spatial dependence or to predict the value of a response…

Methodology · Statistics 2016-01-11 Candace Berrett , Catherine A. Calder

Auxiliary data sources have become increasingly important in epidemiological surveillance, as they are often available at a finer spatial and temporal resolution, larger coverage, and lower latency than traditional surveillance signals. We…

Machine Learning · Computer Science 2023-09-29 Aaron Rumack , Roni Rosenfeld , F. William Townes

Accurate epidemic forecasting is crucial for public health response, resource allocation, and outbreak intervention, but remains difficult with sparse, noisy, and highly non-stationary data. Because epidemics unfold across interacting…

Artificial Intelligence · Computer Science 2026-05-08 Ruiqi Lyu , Alistair Turcan , Bryan Wilder

In the geosciences, a recurring problem is one of estimating spatial means of a physical field using weighted averages of point observations. An important variant is when individual observations are counted with some probability less than…

Statistics Theory · Mathematics 2023-04-11 Ashwin K Seshadri

Spatial regression or geographically weighted regression models have been widely adopted to capture the effects of auxiliary information on a response variable of interest over a region. In contrast, relationships between response and…

Methodology · Statistics 2021-04-29 Shonosuke Sugasawa , Daisuke Murakami

Low-cost air pollution sensors, offering hyper-local characterization of pollutant concentrations, are becoming increasingly prevalent in environmental and public health research. However, low-cost air pollution data can be noisy, biased by…

Applications · Statistics 2023-02-21 Claire Heffernan , Roger Peng , Drew R. Gentner , Kirsten Koehler , Abhirup Datta

Channel Estimation is an essential component in applications such as radar and data communication. In multi path time varying environments, it is necessary to estimate time-shifts, scale-shifts (the wideband equivalent of Doppler-shifts),…

Information Theory · Computer Science 2009-06-05 Brian Carroll

Spatial dependence, referring to the correlation between variable values observed at different geographic locations, is one of the most fundamental characteristics of spatial data. The presence of spatial dependence violates the classical…

Physics and Society · Physics 2025-06-23 Chuan Chen , Peng Luo

This article introduces the Stochastic Texture Difference method for analyzing data at prescribed spatial and value scales. This method relies on constrained random walks around each pixel, describing how nearby image values typically…

Computer Vision and Pattern Recognition · Computer Science 2015-10-06 Nicolas Brodu , Hussein Yahia

Based on standardized vector and globally normalized weight matrix, Moran's index of spatial autocorrelation analysis has been expressed as a formula of quadratic form. Further, based on this formula, an inner product equation and outer…

Methodology · Statistics 2023-05-02 Yanguang Chen

In this third paper of a series on radio weak lensing for cosmology with the Square Kilometre Array, we scrutinise synergies between cosmic shear measurements in the radio and optical/near-IR bands for mitigating systematic effects. We…

Cosmology and Nongalactic Astrophysics · Physics 2018-09-19 Stefano Camera , Ian Harrison , Anna Bonaldi , Michael L. Brown

We analyze the challenges for inference in difference-in-differences (DID) when there is spatial correlation. We present novel theoretical insights and empirical evidence on the settings in which ignoring spatial correlation should lead to…

Econometrics · Economics 2022-09-12 Bruno Ferman