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This work investigates the prediction performance of the kriging predictors. We derive some error bounds for the prediction error in terms of non-asymptotic probability under the uniform metric and $L_p$ metrics when the spectral densities…

Statistics Theory · Mathematics 2020-09-09 Rui Tuo , Wenjia Wang

Accurate traffic flow prediction heavily relies on the spatio-temporal correlation of traffic flow data. Most current studies separately capture correlations in spatial and temporal dimensions, making it difficult to capture complex…

Machine Learning · Computer Science 2025-01-03 Ben-Ao Dai , Nengchao Lyu , Yongchao Miao

In this paper, we first propose a spatial-temporal coupled risk assessment paradigm by constructing a three-dimensional spatial-temporal risk field (STRF). Specifically, we introduce spatial-temporal distances to quantify the impact of…

Optimization and Control · Mathematics 2026-03-31 Guodong Ma , Baofeng Sun , Hongchao Liang , Wenyu Yang , Huxing Zhou

Spatio-temporal forecasting is crucial in many domains, such as transportation, meteorology, and energy. However, real-world scenarios frequently present challenges such as signal anomalies, noise, and distributional shifts. Existing…

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

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

A Spartan random process (SRP) is used to estimate the correlation structure of time series and to predict (extrapolate) the data values. SRP's are motivated from statistical physics, and they can be viewed as Ginzburg-Landau models. The…

Physics and Society · Physics 2012-12-24 M. Zukovic , D. T. Hristopulos

Expanding on neural operators, we propose a novel framework for stochastic process learning across arbitrary domains. In particular, we develop operator flow matching (OFM) for learning stochastic process priors on function spaces. OFM…

Machine Learning · Computer Science 2025-10-14 Yaozhong Shi , Zachary E. Ross , Domniki Asimaki , Kamyar Azizzadenesheli

With rising uncertainty in the real world, online Reinforcement Learning (RL) has been receiving increasing attention due to its fast learning capability and improving data efficiency. However, online RL often suffers from complex Value…

Machine Learning · Computer Science 2022-01-25 Guang Yang , Xingguo Chen , Shangdong Yang , Huihui Wang , Shaokang Dong , Yang Gao

I consider the use of Markov random fields (MRFs) on a fine grid to represent latent spatial processes when modeling point-level and areal data, including situations with spatial misalignment. Point observations are related to the grid cell…

Methodology · Statistics 2013-04-09 Christopher J. Paciorek

We present a continuous time state estimation framework that unifies traditionally individual tasks of smoothing, tracking, and forecasting (STF), for a class of targets subject to smooth motion processes, e.g., the target moves with nearly…

Applications · Statistics 2021-04-21 Tiancheng Li , Huimin Chen , Shudong Sun , Juan M Corchado

Multivariate measurements taken at irregularly sampled locations are a common form of data, for example in geochemical analysis of soil. In practical considerations predictions of these measurements at unobserved locations are of great…

Signal Processing · Electrical Eng. & Systems 2024-04-12 Christoph Muehlmann , Klaus Nordhausen , Mengxi Yi

Inductive spatio-temporal kriging infers signals at unobserved locations from observed sensors, but real-world observations are often incomplete and exhibit block-wise missingness caused by failures, interruptions, or maintenance. A common…

Artificial Intelligence · Computer Science 2026-05-12 Lewei Xie , Haoyu Zhang , Yulong Chen , Liangjun You , Zongxian Yang , Yifan Zhang

Spatio-temporal sequence forecasting is one of the fundamental tasks in spatio-temporal data mining. It facilitates many real world applications such as precipitation nowcasting, citywide crowd flow prediction and air pollution forecasting.…

Machine Learning · Computer Science 2020-05-20 Hong-Bin Liu , Ickjai Lee

Quickly and accurately predicting the flight trajectory of a blue army fighter in close-range air combat helps a red army fighter gain a dominant situation, which is the winning factor in later air combat. However,due to the high speed and…

Machine Learning · Computer Science 2024-05-15 Yao Sun , Tengyu Jing , Jiapeng Wang , Wei Wang

Many algorithms in workflow scheduling and resource provisioning rely on the performance estimation of tasks to produce a scheduling plan. A profiler that is capable of modeling the execution of tasks and predicting their runtime…

Distributed, Parallel, and Cluster Computing · Computer Science 2019-03-01 Muhammad H. Hilman , Maria A. Rodriguez , Rajkumar Buyya

Scientific workflow management systems support large-scale data analysis on cluster infrastructures. For this, they interact with resource managers which schedule workflow tasks onto cluster nodes. In addition to workflow task descriptions,…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-04-30 Jonathan Bader , Kathleen West , Soeren Becker , Svetlana Kulagina , Fabian Lehmann , Lauritz Thamsen , Henning Meyerhenke , Odej Kao

Generative models have the potential to transform the way we emulate Earth's changing climate. Previous generative approaches rely on weather-scale autoregression for climate emulation, but this is inherently slow for long climate horizons…

Computer Vision and Pattern Recognition · Computer Science 2025-12-03 Jeremy Andrew Irvin , Jiaqi Han , Zikui Wang , Abdulaziz Alharbi , Yufei Zhao , Nomin-Erdene Bayarsaikhan , Daniele Visioni , Andrew Y. Ng , Duncan Watson-Parris

Estimating the forces acting between instruments and tissue is a challenging problem for robot-assisted minimally-invasive surgery. Recently, numerous vision-based methods have been proposed to replace electro-mechanical approaches.…

Computer Vision and Pattern Recognition · Computer Science 2020-08-07 Nils Gessert , Marcel Bengs , Matthias Schlüter , Alexander Schlaefer

Fitting Gaussian Processes (GPs) provides interpretable aleatoric uncertainty quantification for estimation of spatio-temporal fields. Spatio-temporal deep learning models, while scalable, typically assume a simplistic independent…

Machine Learning · Statistics 2025-10-27 Brandon R. Feng , David Keetae Park , Xihaier Luo , Arantxa Urdangarin , Shinjae Yoo , Brian J. Reich

This paper proposes a spatiotemporal graph neural network-based performance prediction algorithm to address the challenge of forecasting performance fluctuations in distributed backend systems with multi-level service call structures. The…

Machine Learning · Computer Science 2025-08-12 Zhihao Xue , Yun Zi , Nia Qi , Ming Gong , Yujun Zou