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Spatial-temporal forecasting plays an important role in many real-world applications, such as traffic forecasting, air pollutant forecasting, crowd-flow forecasting, and so on. State-of-the-art spatial-temporal forecasting models take…

Machine Learning · Computer Science 2024-01-22 Xinyu Su , Jianzhong Qi , Egemen Tanin , Yanchuan Chang , Majid Sarvi

High-fidelity numerical simulations of chaotic, high dimensional nonlinear dynamical systems are computationally expensive, necessitating the development of efficient surrogate models. Most surrogate models for such systems are…

Machine Learning · Computer Science 2026-03-16 Dibyajyoti Chakraborty , Hojin Kim , Romit Maulik

Supporting decision-making has long been a central vision in the field of spatio-temporal intelligence. While prior work has improved the timeliness and accuracy of spatio-temporal forecasting, converting these forecasts into actionable…

Machine Learning · Computer Science 2025-06-24 Shulun Chen , Wei Shao , Flora D. Salim , Hao Xue

Spatio-temporal process models are often used for modeling dynamic physical and biological phenomena that evolve across space and time. These phenomena may exhibit environmental heterogeneity and complex interactions that are difficult to…

Methodology · Statistics 2026-01-06 Pratik Nag , Andrew Zammit-Mangion , Sumeetpal Singh , Noel Cressie

Exogenous variables offer valuable supplementary information for predicting future endogenous variables. Forecasting with exogenous variables needs to consider both past-to-future dependencies (i.e., temporal correlations) and the influence…

Machine Learning · Computer Science 2026-05-04 Zhengyu Li , Xiangfei Qiu , Yuhan Zhu , Xingjian Wu , Jilin Hu , Chenjuan Guo , Bin Yang

Spatio-temporal forecasting is essential for understanding future dynamics within real-world systems by leveraging historical data from multiple locations. Existing methods often prioritize the development of intricate neural networks to…

Machine Learning · Computer Science 2025-07-08 Weilin Ruan , Wei Chen , Xilin Dang , Jianxiang Zhou , Weichuang Li , Xu Liu , Yuxuan Liang

Spatial concurrent linear models, in which the model coefficients are spatial processes varying at a local level, are flexible and useful tools for analyzing spatial data. One approach places stationary Gaussian process priors on the…

Applications · Statistics 2012-02-03 Zuofeng Shang , Murray K. Clayton

Stochastic volatility (SV) models are nonlinear state-space models that enjoy increasing popularity for fitting and predicting heteroskedastic time series. However, due to the large number of latent quantities, their efficient estimation is…

Computation · Statistics 2021-12-02 Darjus Hosszejni , Gregor Kastner

The widespread deployment of sensing devices leads to a surge in data for spatio-temporal forecasting applications such as traffic flow, air quality, and wind energy. Although spatio-temporal graph neural networks have achieved success in…

Machine Learning · Computer Science 2025-10-30 Wei Chen , Yuxuan Liang

Integrating model-free and model-based approaches in reinforcement learning has the potential to achieve the high performance of model-free algorithms with low sample complexity. However, this is difficult because an imperfect dynamics…

Machine Learning · Computer Science 2019-06-10 Jacob Buckman , Danijar Hafner , George Tucker , Eugene Brevdo , Honglak Lee

Recent improvements in the expressive power of spatio-temporal models have led to performance gains in many real-world applications, such as traffic forecasting and social network modelling. However, understanding the predictions from a…

Machine Learning · Computer Science 2025-03-07 Saif Anwar , Nathan Griffiths , Thomas Popham , Abhir Bhalerao

Weather and climate forecasts are inherently uncertain due to chaotic dynamics, imperfect initial conditions, and incomplete representation of the underlying physical processes. Operational ensemble forecasts aim to represent these…

Machine Learning · Computer Science 2026-05-26 Birgit Kühbacher , Daan Crommelin , Niki Kilbertus

Spatio-Temporal (ST) prediction is crucial for making informed decisions in urban location-based applications like ride-sharing. However, existing ST models often require region partition as a prerequisite, resulting in two main pitfalls.…

Machine Learning · Computer Science 2024-03-13 Liyue Chen , Jiangyi Fang , Tengfei Liu , Shaosheng Cao , Leye Wang

In the literature on stochastic frontier models until the early 2000s, the joint consideration of spatial and temporal dimensions was often inadequately addressed, if not completely neglected. However, from an evolutionary economics…

Methodology · Statistics 2024-10-29 Elisa Fusco , Giuseppe Arbia , Francesco Vidoli , Vincenzo Nardelli

Motivated by investigating spatio-temporal patterns of the distribution of continuous variables, we consider describing the conditional distribution function of the response variable incorporating spatio-temporal components given…

To model combinatorial decision problems involving uncertainty and probability, we introduce stochastic constraint programming. Stochastic constraint programs contain both decision variables (which we can set) and stochastic variables…

Artificial Intelligence · Computer Science 2009-03-09 Toby Walsh

Although ground robotic autonomy has gained widespread usage in structured and controlled environments, autonomy in unknown and off-road terrain remains a difficult problem. Extreme, off-road, and unstructured environments such as…

Robotics · Computer Science 2021-06-29 David D. Fan , Kyohei Otsu , Yuki Kubo , Anushri Dixit , Joel Burdick , Ali-Akbar Agha-Mohammadi

Spatiotemporal data mining (STDM) has a wide range of applications in various complex physical systems (CPS), i.e., transportation, manufacturing, healthcare, etc. Among all the proposed methods, the Convolutional Long Short-Term Memory…

Machine Learning · Computer Science 2025-11-19 Junfeng Wu , Hadjer Benmeziane , Kaoutar El Maghraoui , Liu Liu , Yinan Wang

Discrete and especially binary random variables occur in many machine learning models, notably in variational autoencoders with binary latent states and in stochastic binary networks. When learning such models, a key tool is an estimator of…

Machine Learning · Computer Science 2021-10-18 Alexander Shekhovtsov

Spatio-temporal predictive learning plays a crucial role in self-supervised learning, with wide-ranging applications across a diverse range of fields. Previous approaches for temporal modeling fall into two categories: recurrent-based and…

Computer Vision and Pattern Recognition · Computer Science 2025-05-09 Cheng Tan , Jue Wang , Zhangyang Gao , Siyuan Li , Stan Z. Li