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Many real-world processes have complex tail dependence structures that cannot be characterized using classical Gaussian processes. More flexible spatial extremes models exhibit appealing extremal dependence properties but are often…

Machine Learning · Statistics 2024-12-19 Likun Zhang , Xiaoyu Ma , Christopher K. Wikle , Raphaël Huser

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

Small area models are mixed effects regression models that link the small areas and borrow strength from similar domains. When the auxiliary variables used in the models are measured with error, small area estimators that ignore the…

Methodology · Statistics 2018-10-23 Serena Arima , Silvia Polettini

Spatial count data models are used to explain and predict the frequency of phenomena such as traffic accidents in geographically distinct entities such as census tracts or road segments. These models are typically estimated using Bayesian…

Methodology · Statistics 2020-10-19 Prateek Bansal , Rico Krueger , Daniel J. Graham

Conditional auto-regressive (CAR) distributions are widely used to induce spatial dependence in the geographic analysis of areal data. These distributions establish multivariate dependence networks by defining conditional relationships…

Methodology · Statistics 2025-07-14 Miguel A. Martinez-Beneito , Aritz Adín , Tomás Goicoa , Lola Ugarte

Lifetime data with spatial correlations are often collected for analysis in modern engineering, clinical, and medical applications. For such spatial lifetime data, statistical models usually account for the spatial dependence through…

Methodology · Statistics 2025-07-15 Yueyao Wang , Yili Hong , Laura Freeman , Xinwei Deng

One of the challenges in model-based control of stochastic dynamical systems is that the state transition dynamics are involved, and it is not easy or efficient to make good-quality predictions of the states. Moreover, there are not many…

Machine Learning · Computer Science 2018-08-02 Behnoosh Parsa , Keshav Rajasekaran , Franziska Meier , Ashis G. Banerjee

Preferential sampling provides a formal modeling specification to capture the effect of bias in a set of sampling locations on inference when a geostatistical model is used to explain observed responses at the sampled locations. In…

Methodology · Statistics 2022-02-21 Shinichiro Shirota , Alan E. Gelfand

Hierarchical models represent a challenging setting for inference algorithms. MCMC methods struggle to scale to large models with many local variables and observations, and variational inference (VI) may fail to provide accurate…

Machine Learning · Computer Science 2022-07-27 Tomas Geffner , Justin Domke

In this paper, an epidemic model with spatial dependence is studied and results regarding its stability and numerical approximation are presented. We consider a generalization of the original Kermack and McKendrick model in which the size…

Numerical Analysis · Mathematics 2022-04-05 Bálint Takács , Yiannis Hadjimichael

We introduce a nonstationary spatio-temporal statistical model for gridded data on the sphere. The model specifies a computationally convenient covariance structure that depends on heterogeneous geography. Widely used statistical models on…

Applications · Statistics 2016-02-25 Stefano Castruccio , Joseph Guinness

We extend generalized functional linear models under independence to a situation in which a functional covariate is related to a scalar response variable that exhibits spatial dependence-a complex yet prevalent phenomenon. For estimation,…

Methodology · Statistics 2026-05-22 Sooran Kim , Mark S. Kaiser , Xiongtao Dai

Perceived signals in real-world scenarios are usually high-dimensional and noisy, and finding and using their representation that contains essential and sufficient information required by downstream decision-making tasks will help improve…

Machine Learning · Computer Science 2022-06-22 Biwei Huang , Chaochao Lu , Liu Leqi , José Miguel Hernández-Lobato , Clark Glymour , Bernhard Schölkopf , Kun Zhang

Ending the HIV/AIDS pandemic is among the Sustainable Development Goals for the next decade. In order to overcome the gap between the need for care and the available resources, better understanding of HIV epidemics is needed to guide policy…

Applications · Statistics 2020-09-03 Zhou Lan , Le Bao

Despite spatial econometrics is now considered a consolidated discipline, only in recent years we have experienced an increasing attention to the possibility of applying it to the field of discrete choices (e.g. Smirnov, 2010 for a recent…

Applications · Statistics 2019-08-02 A. G. Billé , G. Arbia

The continuous representation of spatiotemporal data commonly relies on using abstract data types, such as \textit{moving regions}, to represent entities whose shape and position continuously change over time. Creating this representation…

Databases · Computer Science 2023-08-29 Tiago F. R. Ribeiro , Fernando Silva , Rogério Luís de C. Costa

This paper proposes a new model-based approach to small area estimation of general finite-population parameters based on grouped data or frequency data, which is often available from sample surveys. Grouped data contains information on…

Methodology · Statistics 2019-09-20 Yuki Kawakubo , Genya Kobayashi

Variational autoencoders (VAEs) are a popular class of deep generative models with many variants and a wide range of applications. Improvements upon the standard VAE mostly focus on the modelling of the posterior distribution over the…

Machine Learning · Computer Science 2022-11-02 James Langley , Miguel Monteiro , Charles Jones , Nick Pawlowski , Ben Glocker

Recent years have witnessed tremendous interest in understanding and predicting information spread on social media platforms such as Twitter, Facebook, etc. Existing diffusion prediction methods primarily exploit the sequential order of…

Social and Information Networks · Computer Science 2020-06-09 Aravind Sankar , Xinyang Zhang , Adit Krishnan , Jiawei Han

The autologistic model and related auto-models, commonly applied as autocovariate regression, offer distinct advantages for analysing spatially autocorrelated ecological data. However, comparative studies by Carl and K\"uhn (Ecol. Model.,…

Quantitative Methods · Quantitative Biology 2015-01-28 David C. Bardos , Gurutzeta Guillera-Arroita , Brendan A. Wintle
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