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We propose a novel sparse spatiotemporal dynamic generalized linear model for efficient inference and prediction of bicycle count data. Assuming Poisson distributed counts with spacetime-varying rates, we model the log-rate using…

Composing autoregressive models remains a core challenge in understanding how large language models can combine behaviors or skills learned across tasks. We introduce a new and principled composition strategy for autoregressive systems,…

Machine Learning · Computer Science 2026-05-28 Aakash Kumar , Maria Sofia Bucarelli , Emanuele Natale

Predicting species distributions using occupancy models accounting for imperfect detection is now commonplace in ecology. Recently, modelling spatial and temporal autocorrelation was proposed to alleviate the lack of replication in…

Applications · Statistics 2025-10-10 André Luís Luza , Didier Alard , Frédéric Barraquand

In this paper we propose a multivariate ordinal regression model which allows the joint modeling of three-dimensional panel data containing both repeated and multiple measurements for a collection of subjects. This is achieved by a…

Methodology · Statistics 2024-02-02 Laura Vana-Gür

Circular data arise in many areas of application. Recently, there has been interest in looking at circular data collected separately over time and over space. Here, we extend some of this work to the spatio-temporal setting, introducing…

Methodology · Statistics 2017-04-18 Gianluca Mastrantonio , Giovanna Jona Lasinio , Alan E. Gelfand

Spatio-temporal problems exist in many areas of knowledge and disciplines ranging from biology to engineering and physics. However, solution strategies based on classical statistical techniques often fall short due to the large number of…

Applications · Statistics 2017-06-15 Emil B. Iversen , Rune Juhl , Jan K. Møller , Jan Kleissl , Henrik Madsen , Juan M. Morales

The availability of data on economic uncertainty sparked a lot of interest in models that can timely quantify episodes of international spillovers of uncertainty. This challenging task involves trading off estimation accuracy for more…

General Economics · Economics 2023-02-07 Niels Gillmann , Ostap Okhrin

The statistical modeling of multivariate count data observed on a space-time lattice has generally focused on using a hierarchical modeling approach where space-time correlation structure is placed on a continuous, latent, process. The…

Applications · Statistics 2021-02-16 Nicholas J Clark , Philip M. Dixon

The ability to plan with temporal abstractions is central to intelligent decision-making. Rather than reasoning over primitive actions, we study agents that compose pre-trained policies as temporally extended actions, enabling solutions to…

Machine Learning · Computer Science 2026-02-24 Jesse Farebrother , Matteo Pirotta , Andrea Tirinzoni , Marc G. Bellemare , Alessandro Lazaric , Ahmed Touati

Random variables in metric spaces indexed by time and observed at equally spaced time points are receiving increased attention due to their broad applicability. The absence of inherent structure in metric spaces has resulted in a literature…

Methodology · Statistics 2024-09-24 Matthieu Bulté , Helle Sørensen

In economic development, there are often regions that share similar economic characteristics, and economic models on such regions tend to have similar covariate effects. In this paper, we propose a Bayesian clustered regression for…

Econometrics · Economics 2020-06-30 Zhihua Ma , Yishu Xue , Guanyu Hu

This paper contributes to the multivariate analysis of marked spatio-temporal point process data by introducing different partial point characteristics and extending the spatial dependence graph model formalism. Our approach yields a…

Methodology · Statistics 2020-03-06 Matthias Eckardt , Jonatan A. González , Jorge Mateu

A new mixture autoregressive model based on Student's $t$-distribution is proposed. A key feature of our model is that the conditional $t$-distributions of the component models are based on autoregressions that have multivariate…

Econometrics · Economics 2018-05-11 Mika Meitz , Daniel Preve , Pentti Saikkonen

This handbook chapter provides an essential introduction to the field of spatial econometrics, offering a comprehensive overview of techniques and methodologies for analysing spatial data in the social sciences. Spatial econometrics…

Econometrics · Economics 2025-03-20 Tobias Rüttenauer

Spatiotemporal dynamics models are fundamental for various domains, from heat propagation in materials to oceanic and atmospheric flows. However, currently available neural network-based spatiotemporal modeling approaches fall short when…

Machine Learning · Computer Science 2025-02-11 Valerii Iakovlev , Harri Lähdesmäki

This study proposes a novel functional vector autoregressive framework for analyzing network interactions of functional outcomes in panel data settings. In this framework, an individual's outcome function is influenced by the outcomes of…

Methodology · Statistics 2026-02-27 Tomohiro Ando , Tadao Hoshino

The spatial panel regression model has shown great success in modelling econometric and other types of data that are observed both spatially and temporally with associated predictor variables. However, model checking via testing for spatial…

Methodology · Statistics 2021-10-22 Jianfeng Wang , Adam B Kashlak

Motivated by a large ground-level ozone dataset, we propose a new computationally efficient additive approximate Gaussian process. The proposed method incorporates a computational-complexity-reduction method and a separable covariance…

Methodology · Statistics 2019-06-10 Pulong Ma , Bledar A. Konomi , Emily L. Kang

We demonstrate the use of conditional autoregressive generative models (van den Oord et al., 2016a) over a discrete latent space (van den Oord et al., 2017b) for forward planning with MCTS. In order to test this method, we introduce a new…

Machine Learning · Computer Science 2018-11-27 Johanna Hansen , Kyle Kastner , Aaron Courville , Gregory Dudek

Fitting statistical models to spatiotemporal data requires finding the right balance between imposing smoothness and following the data. In the context of p-splines, we propose a Bayesian framework for choosing the smoothing parameter which…

Applications · Statistics 2013-10-30 A. W. Bowman , L. Evers , D. Molinari , W. R. Jones , M. J. Spence
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