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Related papers: A Design-Based Approach to Spatial Correlation

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Spatial data display correlation between observations collected at neighboring locations. Generally, machine and deep learning methods either do not account for this correlation or do so indirectly through correlated features and thereby…

Methodology · Statistics 2024-10-08 Matthew J. Heaton , Andrew Millane , Jake S. Rhodes

The application of state-of-the-art spatial econometric models requires that the information about the spatial coordinates of statistical units is completely accurate, which is usually the case in the context of areal data. With…

Methodology · Statistics 2019-09-06 Giuseppe Arbia , Maria Michela Dickson , Giuseppe Espa , Diego Giuliani , Flavio Santi

With the establishment of global biological monitor network and development of remote sensing technology, data won't be a limitation, but the variance brought by spatial heterogeneous and fractal will influence correlation coefficient…

Applications · Statistics 2017-10-02 Xiatong Cai , Guangpeng Pei , Yuen Zhu , Donggang Guo , Hua Li

Scientists are often interested in estimating an association between a covariate and a binary- or count-valued response. For instance, public health officials are interested in how much disease presence (a binary response per individual)…

Methodology · Statistics 2025-09-03 David R. Burt , Renato Berlinghieri , Tamara Broderick

Spatial labeling assigns labels to specific spatial locations to characterize their spatial properties and relationships, with broad applications in scientific research and practice. Measuring the similarity between two spatial labelings is…

Machine Learning · Computer Science 2025-05-21 Yihang Du , Jiaying Hu , Suyang Hou , Yueyang Ding , Xiaobo Sun

Systematic sampling is often used to select plot locations for forest inventory estimation. However, it is not possible to derive a design-unbiased variance estimator for a systematic sample using one random start. As a result, many forest…

Applications · Statistics 2018-10-22 Chad Babcock , Andrew O. Finley , Timothy G. Gregoire , Hans-Erik Andersen

Interval-valued data receives much attention due to its wide applications in the fields of finance, econometrics, meteorology and medicine. However, most regression models developed for interval-valued data assume observations are mutually…

Applications · Statistics 2022-10-31 Tingting Huang

The idea of spatial crosscorrelation was conceived of long ago. However, unlike the related spatial autocorrelation, the theory and method of spatial crosscorrelation analysis have remained undeveloped. This paper presents a set of models…

Physics and Society · Physics 2018-12-19 Yanguang Chen

Properly estimating correlations between objects at different spatial scales necessitates $\mathcal{O}(n^2)$ distance calculations. For this reason, most widely adopted packages for estimating correlations use clustering algorithms to…

We consider the inference problem for high-dimensional linear models, when covariates have an underlying spatial organization reflected in their correlation. A typical example of such a setting is high-resolution imaging, in which…

Methodology · Statistics 2021-06-07 Jérôme-Alexis Chevalier , Tuan-Binh Nguyen , Bertrand Thirion , Joseph Salmon

Identifying spurious correlations learned by a trained model is at the core of refining a trained model and building a trustworthy model. We present a simple method to identify spurious correlations that have been learned by a model trained…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Misgina Tsighe Hagos , Kathleen M. Curran , Brian Mac Namee

Spatial data exhibits the property that nearby points are correlated. This also holds for learnt representations across layers, but not for commonly used weight initialization methods. Our theoretical analysis quantifies the learning…

Machine Learning · Computer Science 2023-02-03 Johannes Schneider

A power constrained sensor network that consists of multiple sensor nodes and a fusion center (FC) is considered, where the goal is to estimate a random parameter of interest. In contrast to the distributed framework, the sensor nodes may…

Information Theory · Computer Science 2012-07-03 Swarnendu Kar , Pramod K. Varshney

We extend a previous analysis of spatial correlation functions for classical electromagnetic vector fields near a perfectly conducting boundary [PRE, vol. 73, 036604 (2006)] to the case of an isotropic semi-infinite medium with planar…

Optics · Physics 2009-11-13 Luk R. Arnaut

We consider a spatial functional linear regression, where a scalar response is related to a square integrable spatial functional process. We use a smoothing spline estimator for the functional slope parameter and establish a finite sample…

Statistics Theory · Mathematics 2019-08-07 Stéphane Bouka , Sophie Dabo-Niang , Guy Martial Nkiet

Fast fading wireless networks with delayed knowledge of the channel state information have received significant attention in recent years. An exception is networks where channels are spatially correlated. This paper characterizes the…

Information Theory · Computer Science 2016-06-23 Alireza Vahid , Robert Calderbank

Unmeasured spatial confounding complicates exposure effect estimation in environmental health studies. This problem is exacerbated in studies with multiple health outcomes and environmental exposure variables, as the source and magnitude of…

Spectral-spatial processing has been increasingly explored in remote sensing hyperspectral image classification. While extensive studies have focused on developing methods to improve the classification accuracy, experimental setting and…

Computer Vision and Pattern Recognition · Computer Science 2017-03-08 Jie Liang , Jun Zhou , Yuntao Qian , Lian Wen , Xiao Bai , Yongsheng Gao

Empirical research in economics often examines the behavior of agents located in a geographic space. In such cases, statistical inference is complicated by the interdependence of economic outcomes across locations. A common approach to…

Econometrics · Economics 2025-04-21 Stefano DellaVigna , Guido Imbens , Woojin Kim , David M. Ritzwoller

The online monitoring data in distribution networks contain rich information on the running states of the networks. By leveraging the data, this paper proposes a spatio-temporal correlation analysis approach for anomaly detection and…

Signal Processing · Electrical Eng. & Systems 2019-07-23 Xin Shi , Robert Qiu , Zenan Ling , Fan Yang , Haosen Yang , Xing He