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We consider the problem of analyzing multivariate time series collected on multiple subjects, with the goal of identifying groups of subjects exhibiting similar trends in their recorded measurements over time as well as time-varying groups…

Spatial generalized linear mixed-effects models are popularly used to analyze spatially indexed univariate responses. However, with modern technology, it is common to observe vector-valued mixed-type responses, e.g., a combination of…

Methodology · Statistics 2026-04-23 Arghya Mukherjee , Arnab Hazra , Dootika Vats

Biological systems commonly exhibit complex spatiotemporal patterns whose underlying generative mechanisms pose a significant analytical challenge. Traditional approaches to spatiodynamic inference rely on dimensionality reduction through…

Quantitative Methods · Quantitative Biology 2025-08-01 Jun Won Park , Kangyu Zhao , Sanket Rane

In this work, we present an additive model for space-time data that splits the data into a temporally correlated component and a spatially correlated component. We model the spatially correlated portion using a time-varying Gaussian…

Methodology · Statistics 2017-11-13 Kristjan Greenewald , Seyoung Park , Shuheng Zhou , Alexander Giessing

Spatio-temporal point process (STPP) is a stochastic collection of events accompanied with time and space. Due to computational complexities, existing solutions for STPPs compromise with conditional independence between time and space,…

Machine Learning · Computer Science 2023-06-27 Yuan Yuan , Jingtao Ding , Chenyang Shao , Depeng Jin , Yong Li

We study real-time sampling and estimation of autoregressive Markovian sources in decentralized and dynamic multi-hop networks that share similar structures. Nodes cache neighboring samples and communicate over wireless collision channels.…

Signal Processing · Electrical Eng. & Systems 2026-01-21 Xingran Chen , Navid NaderiAlizadeh , Alejandro Ribeiro , Shirin Saeedi Bidokhti

This paper introduces a linear state-space model with time-varying dynamics. The time dependency is obtained by forming the state dynamics matrix as a time-varying linear combination of a set of matrices. The time dependency of the weights…

Machine Learning · Statistics 2014-10-06 Jaakko Luttinen , Tapani Raiko , Alexander Ilin

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

We present a computational modeling framework for data-driven simulations and analysis of infectious disease spread in large populations. For the purpose of efficient simulations, we devise a parallel solution algorithm targeting…

Populations and Evolution · Quantitative Biology 2018-02-19 Pavol Bauer , Stefan Engblom , Stefan Widgren

Recent years have seen a huge development in spatial modelling and prediction methodology, driven by the increased availability of remote-sensing data and the reduced cost of distributed-processing technology. It is well known that…

Computation · Statistics 2020-02-18 Andrew Zammit-Mangion , Jonathan Rougier

We introduce temporal multimodal multivariate learning, a new family of decision making models that can indirectly learn and transfer online information from simultaneous observations of a probability distribution with more than one peak or…

Spatio-temporal prediction of levels of an environmental exposure is an important problem in environmental epidemiology. Our work is motivated by multiple studies on the spatio-temporal distribution of mobile source, or traffic related,…

Applications · Statistics 2014-11-14 Nikolay Bliznyuk , Christopher J. Paciorek , Joel Schwartz , Brent Coull

In environmental studies, realistic simulations are essential for understanding complex systems. Statistical emulation with Gaussian processes (GPs) in functional data models have become a standard tool for this purpose. Traditional…

Applications · Statistics 2024-09-26 R. Jacob Andros , Rajarshi Guhaniyogi , Devin Francom , Donatella Pasqualini

This paper introduces a matrix-variate regression model for analyzing multivariate data observed across spatial locations and over time. The model's design incorporates a mean structure that links covariates to the response matrix and a…

Spatiotemporal information processing is fundamental to brain functions. The present study investigates a canonic neural network model for spatiotemporal pattern recognition. Specifically, the model consists of two modules, a reservoir…

Neurons and Cognition · Quantitative Biology 2019-07-30 Yuanyuan Mi , Xiaohan Lin , Xiaolong Zou , Zilong Ji , Tiejun Huang , Si Wu

When working with multimodal Bayesian posterior distributions, Markov chain Monte Carlo (MCMC) algorithms have difficulty moving between modes, and default variational or mode-based approximate inferences will understate posterior…

Methodology · Statistics 2021-11-19 Yuling Yao , Aki Vehtari , Andrew Gelman

A Bayesian approach is developed to analyze change points in multivariate time series and space-time data. The methodology is used to assess the impact of extended inundation on the ecosystem of the Gulf Plains bioregion in northern…

Methodology · Statistics 2013-06-21 Chris Strickland , Robert Burdett , Robert Denham , Robert Kohn , Kerrie Mengersen

For tasks where the dynamics of multiple agents are physically coupled, e.g., in cooperative manipulation, the coordination between the individual agents becomes crucial, which requires exact knowledge of the interaction dynamics. This…

Robotics · Computer Science 2022-06-29 Pablo Budde gen. Dohmann , Armin Lederer , Marcel Dißemond , Sandra Hirche

In this paper we present a novel inference methodology to perform Bayesian inference for spatiotemporal Cox processes where the intensity function depends on a multivariate Gaussian process. Dynamic Gaussian processes are introduced to…

Methodology · Statistics 2019-03-12 Flávio B. Gonçalves , Dani Gamerman

Prediction is a classic challenge in spatial statistics and the inclusion of spatial covariates can greatly improve predictive performance when incorporated into a model with latent spatial effects. It is desirable to develop flexible…

Methodology · Statistics 2025-02-24 Alex Ziyu Jiang , Jon Wakefield
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