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I present an approach for modeling areal spatial covariance by considering the stationary distribution of a spatio-temporal Markov random walk. In the areal data case, this stationary distribution corresponds to an intrinsic simultaneous…

Methodology · Statistics 2015-07-06 Ephraim M. Hanks

Technological advances have led to a proliferation of structured big data that have matrix-valued covariates. We are specifically motivated to build predictive models for multi-subject neuroimaging data based on each subject's brain imaging…

Methodology · Statistics 2015-05-15 Yue Hu , Genevera I. Allen

Autoregressive models use chain rule to define a joint probability distribution as a product of conditionals. These conditionals need to be normalized, imposing constraints on the functional families that can be used. To increase…

Machine Learning · Computer Science 2020-10-27 Chenlin Meng , Lantao Yu , Yang Song , Jiaming Song , Stefano Ermon

Inferring air quality from a limited number of observations is an essential task for monitoring and controlling air pollution. Existing inference methods typically use low spatial resolution data collected by fixed monitoring stations and…

Statistical models used to estimate the spatio-temporal pattern in disease risk from areal unit data represent the risk surface for each time period with known covariates and a set of spatially smooth random effects. The latter act as a…

Applications · Statistics 2016-04-19 Alastair Rushworth , Duncan Lee , Christophe Sarran

Disease mapping is an important statistical tool used by epidemiologists to assess geographic variation in disease rates and identify lurking environmental risk factors from spatial patterns. Such maps rely upon spatial models for…

Methodology · Statistics 2021-02-08 Leiwen Gao , Abhirup Datta , Sudipto Banerjee

Clusters form the basis of a number of research study designs including survey and experimental studies. Cluster-based designs can be less costly but also less efficient than individual-based designs due to correlation between individuals…

Methodology · Statistics 2021-07-22 Samuel I. Watson

The health impact of long-term exposure to air pollution is now routinely estimated using spatial ecological studies, due to the recent widespread availability of spatial referenced pollution and disease data. However, this areal unit study…

Applications · Statistics 2014-12-16 Duncan Lee , Christophe Sarran

Spatial epidemiology identifies the drivers of elevated population-level disease risks, using disease counts, exposures and known confounders at the areal unit level. Poisson regression models are typically used for inference, which…

Methodology · Statistics 2026-02-03 Duncan Lee , Vinny Davies

We discuss a graph-based approach for testing spatial point patterns. This approach falls under the category of data-random graphs, which have been introduced and used for statistical pattern recognition in recent years. Our goal is to test…

Methodology · Statistics 2008-02-06 E. Ceyhan , C. E. Priebe , D. J. Marchette

In this paper, we demonstrate, both theoretically and by numerical examples, that adding a local prediction component to the update rule can significantly improve the convergence rate of distributed averaging algorithms. We focus on the…

Distributed, Parallel, and Cluster Computing · Computer Science 2015-05-13 Boris N. Oreshkin , Mark J. Coates , Michael G. Rabbat

The premise of automated alert correlation is to accept that false alerts from a low level intrusion detection system are inevitable and use attack models to explain the output in an understandable way. Several algorithms exist for this…

Artificial Intelligence · Computer Science 2010-07-05 Gianni Tedesco , Uwe Aickelin

We consider a setting where multiple entities inter-act with each other over time and the time-varying statuses of the entities are represented as multiple correlated time series. For example, speed sensors are deployed in different…

Machine Learning · Computer Science 2021-03-23 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang

We study the problem of modeling and inference for spatio-temporal count processes. Our approach uses parsimonious parameterisations of multivariate autoregressive count time series models, including possible regression on covariates. We…

Methodology · Statistics 2024-11-14 Steffen Maletz , Konstantinos Fokianos , Roland Fried

Appropriate models for spatially autocorrelated data account for the fact that observations are not independent. A popular model in this context is the simultaneous autoregressive (SAR) model that allows to model the spatial dependency…

Methodology · Statistics 2017-07-12 A. Kreuzer , T. Erhardt , T. Nagler , C. Czado

We propose an advancement in cardinality estimation by augmenting autoregressive models with a traditional grid structure. The novel hybrid estimator addresses the limitations of autoregressive models by creating a smaller representation of…

Databases · Computer Science 2024-10-11 Damjan Gjurovski , Angjela Davitkova , Sebastian Michel

Field-based coordination has been proposed as a model for coordinating collective adaptive systems, promoting a view of distributed computations as functions manipulating data structures spread over space and evolving over time, called…

Distributed, Parallel, and Cluster Computing · Computer Science 2023-06-22 Giorgio Audrito , Jacob Beal , Ferruccio Damiani , Danilo Pianini , Mirko Viroli

Graphical models are widely used in diverse application domains to model the conditional dependencies amongst a collection of random variables. In this paper, we consider settings where the graph structure is covariate-dependent, and…

Machine Learning · Statistics 2025-04-24 Jiahe Lin , Yikai Zhang , George Michailidis

We present a novel preconditioning technique for proximal optimization methods that relies on graph algorithms to construct effective preconditioners. Such combinatorial preconditioners arise from partitioning the graph into forests. We…

Optimization and Control · Mathematics 2018-02-22 Thomas Möllenhoff , Zhenzhang Ye , Tao Wu , Daniel Cremers

Deep learning methods are being increasingly used for urban traffic prediction where spatiotemporal traffic data is aggregated into sequentially organized matrices that are then fed into convolution-based residual neural networks. However,…

Computer Vision and Pattern Recognition · Computer Science 2020-09-08 Wei Zeng , Chengqiao Lin , Juncong Lin , Jincheng Jiang , Jiazhi Xia , Cagatay Turkay , Wei Chen