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Spatio-temporal models are widely used in many research areas including ecology. The recent proliferation of the use of in-situ sensors in streams and rivers supports space-time water quality modelling and monitoring in near real-time. A…

Conditional probabilistic graphical models provide a powerful framework for structured regression in spatio-temporal datasets with complex correlation patterns. However, in real-life applications a large fraction of observations is often…

Machine Learning · Computer Science 2018-03-29 Jelena Stojanovic , Milos Jovanovic , Djordje Gligorijevic , Zoran Obradovic

Time-evolving traffic flow forecasting are playing a vital role in intelligent transportation systems and smart cities. However, the dynamic traffic flow forecasting is a highly nonlinear problem with complex temporal-spatial dependencies.…

Machine Learning · Computer Science 2025-08-05 Zhenan Lin , Yuni Lai , Wai Lun Lo , Richard Tai-Chiu Hsung , Harris Sik-Ho Tsang , Xiaoyu Xue , Kai Zhou , Yulin Zhu

A computationally efficient model is introduced to account for the sub-grid scale velocities of tracer particles dispersed in statistically homogeneous and isotropic turbulent flows. The model embeds the multi-scale nature of turbulent…

Fluid Dynamics · Physics 2015-06-18 I. M. Mazzitelli , F. Toschi , A. S. Lanotte

Datasets that exhibit non-Gaussian characteristics are common in many fields, while the current modeling framework and available software for non-Gaussian models is limited. We introduce Linear Latent Non-Gaussian Models (LLnGMs), a unified…

Methodology · Statistics 2026-03-02 David Bolin , Xiaotian Jin , Alexandre B. Simas , Jonas Wallin

Spatio-Temporal (ST) data science, which includes sensing, managing, and mining large-scale data across space and time, is fundamental to understanding complex systems in domains such as urban computing, climate science, and intelligent…

Databases · Computer Science 2025-03-19 Yuxuan Liang , Haomin Wen , Yutong Xia , Ming Jin , Bin Yang , Flora Salim , Qingsong Wen , Shirui Pan , Gao Cong

Traffic forecasting has emerged as a crucial research area in the development of smart cities. Although various neural networks with intricate architectures have been developed to address this problem, they still face two key challenges: i)…

Machine Learning · Computer Science 2024-08-27 Jianxiang Zhou , Erdong Liu , Wei Chen , Siru Zhong , Yuxuan Liang

This manuscript develops computationally efficient online learning for multivariate spatiotemporal models. The method relies on matrix-variate Gaussian distributions, dynamic linear models, and Bayesian predictive stacking to efficiently…

Methodology · Statistics 2026-02-10 Luca Presicce , Sudipto Banerjee

We consider the problem of learning a conditional Gaussian graphical model in the presence of latent variables. Building on recent advances in this field, we suggest a method that decomposes the parameters of a conditional Markov random…

Methodology · Statistics 2017-03-07 Benjamin Frot , Luke Jostins , Gil McVean

We propose a generative model for the spatio-temporal distribution of high dimensional categorical observations. These are commonly produced by robots equipped with an imaging sensor such as a camera, paired with an image classifier,…

Machine Learning · Statistics 2020-03-30 John E. San Soucie , Heidi M. Sosik , Yogesh Girdhar

Hyper-spectral data can be analyzed to recover physical properties at large planetary scales. This involves resolving inverse problems which can be addressed within machine learning, with the advantage that, once a relationship between…

Applications · Statistics 2015-12-31 Antoine Deleforge , Florence Forbes , Sileye Ba , Radu Horaud

Spatiotemporal processes have the potential to be one of the most influential factors governing how fisheries targeting sedentary species respond to harvesting. Despite this, management strategy evaluation often fails to account for space…

Populations and Evolution · Quantitative Biology 2021-09-07 Christopher D. Nottingham , Russell B. Millar

Spatio-temporal modeling as a canonical task of multivariate time series forecasting has been a significant research topic in AI community. To address the underlying heterogeneity and non-stationarity implied in the graph streams, in this…

We introduce a dynamical spatio-temporal model formalized as a recurrent neural network for forecasting time series of spatial processes, i.e. series of observations sharing temporal and spatial dependencies. The model learns these…

Machine Learning · Computer Science 2018-04-24 Ali Ziat , Edouard Delasalles , Ludovic Denoyer , Patrick Gallinari

Understanding the complex nature of spatial information is crucial for problem solving in social and environmental sciences. This study investigates how the underlying patterns of spatial data can significantly influence the outcomes of…

Physics and Society · Physics 2024-09-17 Peng Luo , Yongze Song , Wenwen Li , Liqiu Meng

Models of spatial transition probabilities, or equivalently, transiogram models have been recently proposed as spatial continuity measures in categorical fields. In this paper, properties of transiogram models are examined analytically, and…

Applications · Statistics 2016-06-08 Guofeng Cao , Phaedon Kyriakidis , Michael Goodchild

The spatial and temporal aspects of system properties are crucial for many types of systems. In this short paper, we present a TopFunST framework to analyse topological dependencies among features of the system, covering also spatial and…

Formal Languages and Automata Theory · Computer Science 2025-12-30 Maria Spichkova

This study presents a framework for predicting unsteady transonic wing pressure distributions, integrating an autoencoder architecture with graph convolutional networks and graph-based temporal layers to model time dependencies. The…

Machine Learning · Computer Science 2024-11-19 Gabriele Immordino , Andrea Vaiuso , Andrea Da Ronch , Marcello Righi

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

We develop a generalization of the time-varying Drude model, treating carrier density, effective mass, and collision rate as explicit functions of time. We derive expressions for polarization, susceptibility, displacement, and permittivity…