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A large number of scientific studies and engineering problems involve high-dimensional spatiotemporal data with complicated relationships. In this paper, we focus on a type of space-time interaction named \emph{temporal evolution of spatial…

Methodology · Statistics 2022-08-23 Shiwei Lan

We introduce a Bayesian approach for multivariate spatio-temporal prediction for high-dimensional count-valued data. Our primary interest is when there are possibly millions of data points referenced over different variables, geographic…

Methodology · Statistics 2015-12-24 Jonathan R. Bradley , Scott H. Holan , Christopher K. Wikle

Urban resource scheduling is an important part of the development of a smart city, and transportation resources are the main components of urban resources. Currently, a series of problems with transportation resources such as unbalanced…

Machine Learning · Computer Science 2020-09-02 Dongjie Wang , Yan Yang , Shangming Ning

Longitudinal studies are vital to understanding dynamic changes of the planet, but labels (e.g., buildings, facilities, roads) are often available only for a single point in time. We propose a general model, Temporal Cluster Matching (TCM),…

Computer Vision and Pattern Recognition · Computer Science 2021-06-30 Caleb Robinson , Anthony Ortiz , Juan M. Lavista Ferres , Brandon Anderson , Daniel E. Ho

We propose a copula-based extension of the hidden Markov model (HMM) which applies when the observations recorded at each time in the sample are multivariate. The joint model produced by the copula extension allows decoding of the hidden…

Methodology · Statistics 2024-05-13 Robert Zimmerman , Radu V. Craiu , Vianey Leos-Barajas

Point Cloud Interpolation confronts challenges from point sparsity, complex spatiotemporal dynamics, and the difficulty of deriving complete 3D point clouds from sparse temporal information. This paper presents NeuroGauss4D-PCI, which…

Computer Vision and Pattern Recognition · Computer Science 2025-03-06 Chaokang Jiang , Dalong Du , Jiuming Liu , Siting Zhu , Zhenqiang Liu , Zhuang Ma , Zhujin Liang , Jie Zhou

We propose Space-time in situ postprocessing (STIPP), a machine learning model that generates spatio-temporally consistent weather forecasts for a network of station locations. Gridded forecasts from classical numerical weather prediction…

Atmospheric and Oceanic Physics · Physics 2026-01-07 David Landry , Isabelle Gouttevin , Hugo Merizen , Claire Monteleoni , Anastase Charantonis

Human motion prediction (HMP) has emerged as a popular research topic due to its diverse applications, but it remains a challenging task due to the stochastic and aperiodic nature of future poses. Traditional methods rely on hand-crafted…

Computer Vision and Pattern Recognition · Computer Science 2024-07-18 Jiexin Wang , Yujie Zhou , Wenwen Qiang , Ying Ba , Bing Su , Ji-Rong Wen

Air pollution is a major global environmental health threat, in particular for people who live or work near pollution sources. Areas adjacent to pollution sources often have high ambient pollution concentrations, and those areas are…

Machine Learning · Computer Science 2022-11-16 Yawen Zhang , Michael Hannigan , Qin Lv

In the frame of designing a knowledge discovery system, we have developed stochastic models based on high-order hidden Markov models. These models are capable to map sequences of data into a Markov chain in which the transitions between the…

Artificial Intelligence · Computer Science 2007-05-23 Jean-Francois Mari , Florence Le Ber

Quantifying spatial and/or temporal associations in multivariate geolocated data of different types is achievable via spatial random effects in a Bayesian hierarchical model, but severe computational bottlenecks arise when spatial…

Methodology · Statistics 2024-04-02 Michele Peruzzi , David B. Dunson

Spatiotemporal forecasting is critical for real-world applications like traffic management, yet capturing reliable interactions remains challenging under noisy and non-stationary conditions. Existing methods primarily rely on historical…

Machine Learning · Computer Science 2026-05-20 Yinghao Ai , Yukai Zhou , Ruoxi Jiang , Junyi An , Chao Qu , Zhijian Zhou , Shiyu Wang , Fenglei Cao , Zenglin Xu , Furao Shen , Yuan Qi

The spread of PM2.5 pollutants that endanger health is difficult to predict because it involves many atmospheric variables. These micron particles can spread rapidly from their source to residential areas, increasing the risk of respiratory…

Machine Learning · Computer Science 2021-01-18 Hsing-Chung Chen , Karisma Trinanda Putra , Jerry Chun-WeiLin

Understanding and predicting environmental phenomena often requires the construction of spatio-temporal statistical models, which are typically Gaussian processes. A common assumption made on Gaussian processes is that of covariance…

Methodology · Statistics 2023-03-17 Quan Vu , Andrew Zammit-Mangion , Stephen J. Chuter

This paper presents a spatial clustering method to create regions with similar time-varying energy characteristics. This method combines empirical orthogonal functions (EOFs) for dimensionality reduction and max-p regionalization for…

Physics and Society · Physics 2023-08-24 Claire Halloran , Malcolm McCulloch

There is growing evidence in the epidemiologic literature of the relationship between air pollution and adverse health outcomes. Prediction of individual air pollution exposure in the Environmental Protection Agency (EPA) funded…

Weather Forecasting is an attractive challengeable task due to its influence on human life and complexity in atmospheric motion. Supported by massive historical observed time series data, the task is suitable for data-driven approaches,…

Machine Learning · Computer Science 2022-09-20 Minbo Ma , Peng Xie , Fei Teng , Tianrui Li , Bin Wang , Shenggong Ji , Junbo Zhang

The Housing and Land Survey (HLS) of Japan provides municipality-level grouped data on household incomes. Although these data can be used for effective local policymaking, their analyses are hindered by several challenges, such as limited…

Applications · Statistics 2025-07-02 Genya Kobayashi , Shonosuke Sugasawa , Yuki Kawakubo

Quantifying changes in the probability and magnitude of extreme flooding events is key to mitigating their impacts. While hydrodynamic data are inherently spatially dependent, traditional spatial models such as Gaussian processes are poorly…

Methodology · Statistics 2024-05-06 Reetam Majumder , Brian J. Reich , Benjamin A. Shaby

The use of weather index insurances is subject to spatial basis risk, which arises from the fact that the location of the user's risk exposure is not the same as the location of any of the weather stations where an index can be measured. To…

Applications · Statistics 2024-08-01 Yiping Guo , Johnny Siu-Hang Li