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Hyperspectral image (HSI) clustering, which aims at dividing hyperspectral pixels into clusters, has drawn significant attention in practical applications. Recently, many graph-based clustering methods, which construct an adjacent graph to…

Computer Vision and Pattern Recognition · Computer Science 2022-12-07 Qi Wang , Yanling Miao , Mulin Chen , Xuelong Li

Understanding the complex nature of spatial information is crucial for problem solving in social and environmental sciences. This study investigates how the underlying patterns of spatial data can significantly influence the outcomes of…

Physics and Society · Physics 2024-09-17 Peng Luo , Yongze Song , Wenwen Li , Liqiu Meng

Urban systems are characterized by populations with heterogeneous characteristics, and whose spatial distribution is crucial to understand inequalities in life expectancy or education level. Traditional studies on spatial segregation…

Physics and Society · Physics 2023-01-02 Aleix Bassolas , Sergio Gómez , Alex Arenas

Quantifying spatial and/or temporal associations in multivariate geolocated data of different types is achievable via spatial random effects in a Bayesian hierarchical model, but severe computational bottlenecks arise when spatial…

Methodology · Statistics 2024-04-02 Michele Peruzzi , David B. Dunson

Traffic accident forecasting is an important task for intelligent transportation management and emergency response systems. However, this problem is challenging due to the spatial heterogeneity of the environment. Existing data-driven…

Machine Learning · Computer Science 2024-12-23 Bang An , Xun Zhou , Amin Vahedian , Nick Street , Jinping Guan , Jun Luo

Diffusions are a successful technique to sample from high-dimensional distributions. The target distribution can be either explicitly given or learnt from a collection of samples. They implement a diffusion process whose endpoint is a…

Machine Learning · Computer Science 2025-09-03 Andrea Montanari

This paper presents an original ABC algorithm, "ABC Shadow", that can be applied to sample posterior densities that are continuously differentiable. The proposed method uses the ideas given by the auxiliary variable MH of (M\o ller and…

Statistics Theory · Mathematics 2016-02-19 R. S. Stoica , A. Philippe , P. Gregori , J. Mateu

Spatial statistics is a growing discipline providing important analytical techniques in a wide range of disciplines in the natural and social sciences. In the R package GWmodel, we introduce techniques from a particular branch of spatial…

Applications · Statistics 2014-03-18 Isabella Gollini , Binbin Lu , Martin Charlton , Christopher Brunsdon , Paul Harris

Relative survival represents the preferred framework for the analysis of population cancer survival data. The aim is to model the survival probability associated to cancer in the absence of information about the cause of death. Recent data…

In applications like environment monitoring and pollution control, physical quantities are modeled by spatio-temporal fields. It is of interest to learn the statistical distribution of such fields as a function of space, time or both. In…

Statistics Theory · Mathematics 2023-11-07 Meera Pai

Spectral clustering is a celebrated algorithm that partitions objects based on pairwise similarity information. While this approach has been successfully applied to a variety of domains, it comes with limitations. The reason is that there…

Statistics Theory · Mathematics 2018-05-24 Kwangjun Ahn , Kangwook Lee , Changho Suh

Due to its wide reaching implications for everything from identifying hotspots of income inequality to political redistricting, there is a rich body of literature across the sciences quantifying spatial patterns in socioeconomic data. In…

Physics and Society · Physics 2020-11-18 Alec Kirkley

Statistical models on infinite graphs may exhibit inhomogeneous thermodynamic behaviour at macroscopic scales. This phenomenon is of geometrical origin and may be properly described in terms of spectral partitions into subgraphs with well…

Statistical Mechanics · Physics 2015-06-24 R. Burioni , D. Cassi , C. Destri

Stochastic localization is a pathwise analysis technique originating from convex geometry. This paper explores certain algorithmic aspects of stochastic localization as a computational tool. First, we unify various existing stochastic…

Statistics Theory · Mathematics 2025-05-20 Tom Alberts , Yiming Xu , Qiang Ye

Spatial models are used in a variety research areas, such as environmental sciences, epidemiology, or physics. A common phenomenon in many spatial regression models is spatial confounding. This phenomenon takes place when spatially indexed…

Methodology · Statistics 2021-06-08 Isa Marques , Thomas Kneib , Nadja Klein

A stochastic model for a mobile network is studied. Users enter the network, and then perform independent Markovian routes between nodes where they receive service according to the Processor-Sharing policy. Once their service requirement is…

Probability · Mathematics 2010-01-14 Florian Simatos , Danielle Tibi

With the advancement of GPS and remote sensing technologies, large amounts of geospatial and spatiotemporal data are being collected from various domains, driving the need for effective and efficient prediction methods. Given spatial data…

Machine Learning · Computer Science 2020-12-25 Zhe Jiang

Spatial capture-recapture (SCR) models are now widely used for estimating density from repeated individual spatial encounters. SCR accounts for the inherent spatial autocorrelation in individual detections by modelling detection…

In this paper, we focus on the variable selection techniques for a class of semiparametric spatial regression models which allow one to study the effects of explanatory variables in the presence of the spatial information. The spatial…

Methodology · Statistics 2021-06-03 Guannan Wang , Jue Wang

The spatial preferred attachment (SPA) model is a model for networked information spaces such as domains of the World Wide Web, citation graphs, and on-line social networks. It uses a metric space to model the hidden attributes of the…

Social and Information Networks · Computer Science 2012-10-17 Jeannette Janssen , Pawel Pralat , Rory Wilson