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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

Spatial and spatiotemporal volatility models are a class of models designed to capture spatial dependence in the volatility of spatial and spatiotemporal data. Spatial dependence in the volatility may arise due to spatial spillovers among…

Econometrics · Economics 2023-08-28 Philipp Otto , Osman Doğan , Süleyman Taşpınar , Wolfgang Schmid , Anil K. Bera

High-dimensional multivariate spatial-temporal data arise frequently in a wide range of applications; however, there are relatively few statistical methods that can simultaneously deal with spatial, temporal and variable-wise dependencies…

Methodology · Statistics 2020-02-05 Elynn Y. Chen , Xin Yun , Rong Chen , Qiwei Yao

With rapid expansion of cellular networks and the proliferation of mobile devices, cellular traffic data exhibits complex temporal dynamics and spatial correlations, posing challenges to accurate traffic prediction. Previous methods often…

Networking and Internet Architecture · Computer Science 2026-02-20 Ziyi Li , Hui Ma , Fei Xing , Chunjiong Zhang , Ming Yan

Spatiotemporal learning, which aims at extracting spatiotemporal correlations from the collected spatiotemporal data, is a research hotspot in recent years. And considering the inherent graph structure of spatiotemporal data, recent works…

Machine Learning · Computer Science 2023-01-31 Xu Wang , Pengfei Gu , Pengkun Wang , Binwu Wang , Zhengyang Zhou , Lei Bai , Yang Wang

As an important application of spatial databases in pathology imaging analysis, cross-comparing the spatial boundaries of a huge amount of segmented micro-anatomic objects demands extremely data- and compute-intensive operations, requiring…

Databases · Computer Science 2012-08-02 Kaibo Wang , Yin Huai , Rubao Lee , Fusheng Wang , Xiaodong Zhang , Joel H. Saltz

We present a generic framework for spatio-temporal (ST) data modeling, analysis, and forecasting, with a special focus on data that is sparse in both space and time. Our multi-scaled framework is a seamless coupling of two major components:…

Machine Learning · Computer Science 2018-04-04 Bao Wang , Xiyang Luo , Fangbo Zhang , Baichuan Yuan , Andrea L. Bertozzi , P. Jeffrey Brantingham

With recent advances in sensing technologies, a myriad of spatio-temporal data has been generated and recorded in smart cities. Forecasting the evolution patterns of spatio-temporal data is an important yet demanding aspect of urban…

Machine Learning · Computer Science 2023-11-27 Guangyin Jin , Yuxuan Liang , Yuchen Fang , Zezhi Shao , Jincai Huang , Junbo Zhang , Yu Zheng

We develop a hybrid approach to estimate spatial coordination mechanisms in structural dynamic discrete choice models by combining nested fixed-point (NFXP) dynamic programming with method of simulated moments (MSM), achieving computational…

Econometrics · Economics 2025-11-06 L Kaili Diamond , Benjamin Gilbert

Graphical models are commonly used to represent conditional dependence relationships between variables. There are multiple methods available for exploring them from high-dimensional data, but almost all of them rely on the assumption that…

Machine Learning · Statistics 2020-04-22 Tianxi Li , Cheng Qian , Elizaveta Levina , Ji Zhu

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

Traffic forecasting is an important application of spatiotemporal series prediction. Among different methods, graph neural networks have achieved so far the most promising results, learning relations between graph nodes then becomes a…

Machine Learning · Computer Science 2024-09-05 Ting Gao , Rodrigo Kappes Marques , Lei Yu

Multivariate time series forecasting (MTSF) is crucial for decision-making to precisely forecast the future values/trends, based on the complex relationships identified from historical observations of multiple sequences. Recently,…

Machine Learning · Computer Science 2024-05-21 Chengqing Yu , Fei Wang , Zezhi Shao , Tangwen Qian , Zhao Zhang , Wei Wei , Yongjun Xu

The study reports a systematic evaluation of the role of spatially correlated mechanical elements on failure behavior of heterogeneous materials represented by fiber bundle models (FBM) with different load redistribution rules. The increase…

Adaptation and Self-Organizing Systems · Physics 2013-10-23 Jerome Faillettaz , Dani Or

Heterogeneous data are commonly adopted as the inputs for some models that predict the future trends of some observations. Existing predictive models typically ignore the inconsistencies and imperfections in heterogeneous data while also…

Machine Learning · Computer Science 2022-05-10 Zhengjing Ma , Gang Mei , Salvatore Cuomo , Francesco Piccialli

Gaussian Processes have become an indispensable part of the spatial statistician's toolbox but are unsuitable for analyzing large dataset because of the significant time and memory needed to fit the associated model exactly. Vecchia…

Computation · Statistics 2025-07-18 Zachary James , Joseph Guinness

Gaussian process are a widely-used statistical tool for conducting non-parametric inference in applied sciences, with many computational packages available to fit to data and predict future observations. We study the use of the Greta…

Computation · Statistics 2025-03-31 Eva Gunn , Nikhil Sengupta , Ben Swallow

This study demonstrates how to use the "spmoran" package implementing scalable spatial regression models for Gaussian and non-Gaussian data. Implemented models include spatially varying coefficient models, models with group effects, spatial…

Other Statistics · Statistics 2024-01-24 Daisuke Murakami

Traffic speed forecasting is one of the core problems in transportation systems. For a more accurate prediction, recent studies started using not only the temporal speed patterns but also the spatial information on the road network through…

Machine Learning · Computer Science 2022-09-27 Kyungeun Lee , Wonjong Rhee

This article presents factor copula approaches to model temporal dependency of non-Gaussian (continuous/discrete) longitudinal data. Factor copula models are canonical vine copulas which explain the underlying dependence structure of a…

Methodology · Statistics 2025-02-18 Subhajit Chattopadhyay