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Probabilistic forecasting is crucial for real-world spatiotemporal systems, such as climate, energy, and urban environments, where quantifying uncertainty is essential for informed, risk-aware decision-making. While diffusion models have…

Machine Learning · Computer Science 2025-09-30 Zhi Sheng , Yuan Yuan , Yudi Zhang , Jingtao Ding , Yong Li

Short-term forecasting of solar photovoltaic energy (PV) production is important for powerplant management. Ideally these forecasts are equipped with error bars, so that downstream decisions can account for uncertainty. To produce…

Machine Learning · Computer Science 2023-03-31 Sean Nassimiha , Peter Dudfield , Jack Kelly , Marc Peter Deisenroth , So Takao

Forecasting a particular variable can depend upon temporal or spatial scale. Temporal variations that indicate variations with time, reflect the stochasticity present in the variable. Spatial variation usually are dominant in climatology…

Signal Processing · Electrical Eng. & Systems 2020-09-07 Harsh S. Dhiman , Dipankar Deb

Spatiotemporal systems are common in the real-world. Forecasting the multi-step future of these spatiotemporal systems based on the past observations, or, Spatiotemporal Sequence Forecasting (STSF), is a significant and challenging problem.…

Machine Learning · Computer Science 2018-08-22 Xingjian Shi , Dit-Yan Yeung

Spatial statistics is concerned with the analysis of data that have spatial locations associated with them, and those locations are used to model statistical dependence between the data. The spatial data are treated as a single realisation…

Methodology · Statistics 2022-02-09 Noel Cressie , Matthew Sainsbury-Dale , Andrew Zammit-Mangion

Spatio-temporal change of support methods are designed for statistical analysis on spatial and temporal domains which can differ from those of the observed data. Previous work introduced a parsimonious class of Bayesian hierarchical…

Computation · Statistics 2024-01-19 Andrew M. Raim , Scott H. Holan , Jonathan R. Bradley , Christopher K. Wikle

With increasing concerns of climate change, renewable resources such as photovoltaic (PV) have gained popularity as a means of energy generation. The smooth integration of such resources in power system operations is enabled by accurate…

Applications · Statistics 2021-03-30 Fatemeh Najibi , Dimitra Apostolopoulou , Eduardo Alonso

Integration of intermittent renewable energy sources into electric grids in large proportions is challenging. A well-established approach aimed at addressing this difficulty involves the anticipation of the upcoming energy supply…

Computer Vision and Pattern Recognition · Computer Science 2022-06-08 Quentin Paletta , Guillaume Arbod , Joan Lasenby

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

In the era of information explosion, spatio-temporal data mining serves as a critical part of urban management. Considering the various fields demanding attention, e.g., traffic state, human activity, and social event, predicting multiple…

Artificial Intelligence · Computer Science 2023-09-19 Zijian Zhang , Xiangyu Zhao , Qidong Liu , Chunxu Zhang , Qian Ma , Wanyu Wang , Hongwei Zhao , Yiqi Wang , Zitao Liu

Design and operation of a utility scale photovoltaic (PV) power plant depends on accurate modeling of the power generated, which is highly correlated with aggregate solar irradiance on the plant's PV modules. At present, aggregate solar…

Applications · Statistics 2015-02-17 Joshua Patrick , Jane Harvill , Clifford Hansen

Deep learning methods achieve remarkable predictive performance in modeling complex, large-scale data. However, assessing the quality of derived models has become increasingly challenging, as more classical statistical assumptions may no…

Machine Learning · Statistics 2026-03-02 Daniele Zambon , Cesare Alippi

Predicting the intensity and amount of sunlight as a function of location and time is an essential component in identifying promising locations for economical solar farming. Although weather models and irradiance data are relatively…

Applications · Statistics 2019-06-25 Furong Sun , Robert B. Gramacy , Benjamin Haaland , Siyuan Lu , Youngdeok Hwang

In recent works by Yang et al. (2017a,b), and Yagli et al. (2019), geographical, temporal, and sequential deterministic reconciliation of hierarchical photovoltaic (PV) power generation have been considered for a simulated PV dataset in…

Applications · Statistics 2022-09-16 Tommaso Di Fonzo , Daniele Girolimetto

Accurate forecasting of spatiotemporal data remains challenging due to complex spatial dependencies and temporal dynamics. The inherent uncertainty and variability in such data often render deterministic models insufficient, prompting a…

Machine Learning · Computer Science 2024-11-05 Mingze Gong , Lei Chen , Jia Li

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

Generative modeling of spatio-temporal fields is crucial for a variety of applications, including stochastic weather generators and climate-model surrogates. However, many such fields exhibit complex dependence structures that vary across…

Methodology · Statistics 2026-05-06 Carrie J. Lei-Cramer , Jian Cao , Matthias Katzfuss

We construct flexible spatio-temporal models through stochastic partial differential equations (SPDEs) where both diffusion and advection can be spatially varying. Computations are done through a Gaussian Markov random field approximation…

Methodology · Statistics 2024-10-29 Martin Outzen Berild , Geir-Arne Fuglstad

The sea surface temperature (SST), a key environmental parameter, is crucial to optimizing production planning, making its accurate prediction a vital research topic. However, the inherent nonlinearity of the marine dynamic system presents…

Machine Learning · Computer Science 2025-04-25 Yin Wang , Chunlin Gong , Xiang Wu , Hanleran Zhang

Spatio-temporal forecasting is challenging attributing to the high nonlinearity in temporal dynamics as well as complex location-characterized patterns in spatial domains, especially in fields like weather forecasting. Graph convolutions…

Machine Learning · Computer Science 2021-12-14 Haitao Lin , Zhangyang Gao , Yongjie Xu , Lirong Wu , Ling Li , Stan. Z. Li