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Building artificially intelligent geospatial systems requires rapid delivery of spatial data analysis on massive scales with minimal human intervention. Depending upon their intended use, data analysis can also involve model assessment and…

Methodology · Statistics 2026-05-15 Luca Presicce , Sudipto Banerjee

Bayesian model-based spatial clustering methods are widely used for their flexibility in estimating latent clusters with an unknown number of clusters while accounting for spatial proximity. Many existing methods are designed for clustering…

Methodology · Statistics 2025-08-13 Kun Huang , Huiyan Sang

We introduce a new method for building classification models when we have prior knowledge of how the classes can be arranged in a hierarchy, based on how easily they can be distinguished. The new method uses a Bayesian form of the…

Statistics Theory · Mathematics 2007-06-13 Babak Shahbaba , Radford M. Neal

Large, non-Gaussian spatial datasets pose a considerable modeling challenge as the dependence structure implied by the model needs to be captured at different scales, while retaining feasible inference. Skew-normal and skew-t distributions…

Methodology · Statistics 2017-12-07 Felipe Tagle , Stefano Castruccio , Marc G. Genton

Many scientific applications involve mixed spatially indexed outcomes of heterogeneous types that are driven by shared latent mechanisms. Modeling such data is challenging due to complex, nonlinear, and potentially nonstationary spatial…

Methodology · Statistics 2026-03-10 Yeseul Jeon , Kyeong Eun Lee , Joon Jin Song

In employing spatial regression models for counts, we usually meet two issues. First, ignoring the inherent collinearity between covariates and the spatial effect would lead to causal inferences. Second, real count data usually reveal over…

Methodology · Statistics 2021-05-21 Mahsa Nadifar , Hossein Baghishani , Afshin Fallah

Land use / land cover (LULC) modeling is a challenging task due to long-range dependencies between geographic features and distinct spatial patterns related to topography, ecology, and human development. We identify a close connection…

Computer Vision and Pattern Recognition · Computer Science 2024-01-04 Christopher Krapu , Mark Borsuk , Ryan Calder

This article presents a novel and flexible multitask multilayer Bayesian mapping framework with readily extendable attribute layers. The proposed framework goes beyond modern metric-semantic maps to provide even richer environmental…

Robotics · Computer Science 2022-10-11 Lu Gan , Youngji Kim , Jessy W. Grizzle , Jeffrey M. Walls , Ayoung Kim , Ryan M. Eustice , Maani Ghaffari

Spatial econometric research typically relies on the assumption that the spatial dependence structure is known in advance and is represented by a deterministic spatial weights matrix. Contrary to classical approaches, we investigate the…

Computation · Statistics 2023-10-24 Miryam S. Merk , Philipp Otto

We introduce a generalized Bayesian method for multiple changepoint analysis with a loss function inspired by multinomial logistic regression. The method does not require a specification of the data-generating process and avoids restrictive…

Methodology · Statistics 2026-03-27 Yuhui Wang , Andrew M. Thomas , Michael Jauch

Recently, a very attractive logistic regression inference method for exponential family Gibbs spatial point processes was introduced. We combined it with the technique of quadratic tangential variational approximation and derived a new…

Other Statistics · Statistics 2014-11-04 Tuomas Rajala

We consider the problem of spatially dependent areal data, where for each area independent observations are available, and propose to model the density of each area through a finite mixture of Gaussian distributions. The spatial dependence…

Methodology · Statistics 2021-06-09 Mario Beraha , Matteo Pegoraro , Riccardo Peli , Alessandra Guglielmi

Latent space models (LSMs) are often used to analyze dynamic (time-varying) networks that evolve in continuous time. Existing approaches to Bayesian inference for these models rely on Markov chain Monte Carlo algorithms, which cannot handle…

Methodology · Statistics 2024-01-19 Joshua Daniel Loyal

This paper develops nonparametric estimation for discrete choice models based on the mixed multinomial logit (MMNL) model. It has been shown that MMNL models encompass all discrete choice models derived under the assumption of random…

Statistics Theory · Mathematics 2011-02-25 Pierpaolo De Blasi , Lancelot F. James , John W. Lau

For a sensor network, a tractable spatially-dependent node deployment model is presented with the property that the density is inversely proportional to the sink distance. A stochastic model is formulated to examine message advancements…

Probability · Mathematics 2015-03-13 H. Paul Keeler

We introduce the Locally Linear Latent Variable Model (LL-LVM), a probabilistic model for non-linear manifold discovery that describes a joint distribution over observations, their manifold coordinates and locally linear maps conditioned on…

Machine Learning · Statistics 2015-12-02 Mijung Park , Wittawat Jitkrittum , Ahmad Qamar , Zoltan Szabo , Lars Buesing , Maneesh Sahani

Environmental phenomena are influenced by complex interactions among various factors. For instance, the amount of rainfall measured at different stations within a given area is shaped by atmospheric conditions, orography, and physics of…

Applications · Statistics 2025-01-16 Paolo Onorati , Antonio Canale

Due to spatial dependence -- often characterized as complex and non-linear -- model misspecification is a prevalent and critical issue in spatial data analysis and prediction. As the data, and thus model performance, is heterogeneous,…

The building of mathematical and computer models of cities has a long history. The core elements are models of flows (spatial interaction) and the dynamics of structural evolution. In this article, we develop a stochastic model of urban…

Methodology · Statistics 2018-05-10 L. Ellam , M. Girolami , G. A. Pavliotis , A. Wilson

This paper investigates Bayesian variable selection when there is a hierarchical dependence structure on the inclusion of predictors in the model. In particular, we study the type of dependence found in polynomial response surfaces of…

Methodology · Statistics 2015-02-03 Daniel Taylor-Rodriguez , Andrew Womack , Nikolay Bliznyuk
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