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We attempt to forecast the Sun's sunspot butterfly diagram in both space (i.e. in latitude) and time, instead of the usual one-dimensional time series forecasts prevalent in the scientific literature. We use a prediction method based on the…

Solar and Stellar Astrophysics · Physics 2017-09-11 Eurico Covas

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

Accurate forecasting of solar power output is essential for efficient integration of renewable energy into the grid. In this study, an attention-based deep learning model, inspired by transformer architecture, is used for short-term solar…

Machine Learning · Computer Science 2026-04-28 Ankan Basu , Jyotiraditya Roy , Aditya Datta , Prayas Sanyal , Sumanta Banerjee

This article introduces a dynamic spatiotemporal stochastic volatility (SV) model with explicit terms for the spatial, temporal, and spatiotemporal spillover effects. Moreover, the model includes time-invariant site-specific constant…

Methodology · Statistics 2023-11-10 Philipp Otto , Osman Doğan , Süleyman Taşpınar

We introduce Spatio-Temporal Momentum strategies, a class of models that unify both time-series and cross-sectional momentum strategies by trading assets based on their cross-sectional momentum features over time. While both time-series and…

Portfolio Management · Quantitative Finance 2023-12-08 Wee Ling Tan , Stephen Roberts , Stefan Zohren

Wind power prediction is of vital importance in wind power utilization. There have been a lot of researches based on the time series of the wind power or speed, but In fact, these time series cannot express the temporal and spatial changes…

Machine Learning · Computer Science 2018-07-19 Ruiguo Yu , Zhiqiang Liu , Xuewei Li , Wenhuan Lu , Mei Yu , Jianrong Wang , Bin Li

Spatial-temporal forecasting is crucial and widely applicable in various domains such as traffic, energy, and climate. Benefiting from the abundance of unlabeled spatial-temporal data, self-supervised methods are increasingly adapted to…

Machine Learning · Computer Science 2024-12-20 Qi Zheng , Zihao Yao , Yaying Zhang

In modelling time series data coming from different sources, frequencies can easily vary since some variable can be measured at higher frequencies, others, at lower frequencies. Given data measured over spatial units and at varying…

Methodology · Statistics 2025-03-05 Vladimir A. Malabanan , Joseph Ryan G. Lansangan , Erniel B. Barrios

To gain finer regional forecasts, many works have explored the regional integration from the global atmosphere, e.g., by solving boundary equations in physics-based methods or cropping regions from global forecasts in data-driven methods.…

Machine Learning · Computer Science 2026-04-21 Hao Chen , Tao Han , Jie Zhang , Song Guo , Lei Bai

In many problem settings that require spatio-temporal forecasting, the values in the time-series not only exhibit spatio-temporal correlations but are also influenced by spatial diffusion across locations. One such example is forecasting…

Machine Learning · Computer Science 2024-12-19 Malay Pandey , Vaishali Jain , Nimit Godhani , Sachchida Nand Tripathi , Piyush Rai

Buildings are essential components of power grids, and their energy performance directly affects overall power system operation. This paper presents a novel stochastic optimization framework for building energy management systems, aiming to…

Systems and Control · Electrical Eng. & Systems 2025-03-12 Hossein Nourollahi Hokmabad , Tala Hemmati Shahsavar , Pedro P. Vergara , Oleksandr Husev , Juri Belikov

Stochastic methods are a crucial area in contemporary climate research and are increasingly being used in comprehensive weather and climate prediction models as well as reduced order climate models. Stochastic methods are used as…

Atmospheric and Oceanic Physics · Physics 2020-11-16 Christian L. E. Franzke , Terence J. O'Kane , Judith Berner , Paul D. Williams , Valerio Lucarini

Accurate wind power forecasts depend on reliable wind speed forecasts. Numerical Weather Predictions (NWPs) utilize huge amounts of computing time, but still have rather low spatial and temporal resolution. However, stochastic wind speed…

Applications · Statistics 2015-09-10 Daniel Ambach , Carsten Croonenbroeck

Gaussian processes (GPs) are important probabilistic tools for inference and learning in spatio-temporal modelling problems such as those in climate science and epidemiology. However, existing GP approximations do not simultaneously support…

Machine Learning · Computer Science 2021-06-21 Will Tebbutt , Arno Solin , Richard E. Turner

The rapid global expansion of solar photovoltaic (PV) capacity-reaching a record 597 GW in 2024-highlights the urgent need for robust forecasting models to mitigate the grid instability caused by the intermittent nature of solar irradiance.…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Sumit Laha , Ankit Sharma , Hassan Foroosh

Spatio-temporal (ST) data, which represent multiple time series data corresponding to different spatial locations, are ubiquitous in real-world dynamic systems, such as air quality readings. Forecasting over ST data is of great importance…

Machine Learning · Computer Science 2018-10-01 Zheyi Pan , Yuxuan Liang , Junbo Zhang , Xiuwen Yi , Yong Yu , Yu Zheng

Multivariate long-term time series forecasting is of great application across many domains, such as energy consumption and weather forecasting. With the development of transformer-based methods, the performance of multivariate long-term…

Machine Learning · Computer Science 2023-05-29 Zheng Sun , Yi Wei , Wenxiao Jia , Long Yu

The increasing penetration of renewable energy requires greater use of storage resources to manage system intermittency. As a result, there is growing interest in evaluating the opportunity cost of stored energy, or usage values, which can…

Optimization and Control · Mathematics 2025-12-05 Camila Martinez Parra , Michel de Lara , Jean-Philippe Chancelier , Pierre Carpentier , Jean-Marc Janin

Inverse problems with spatiotemporal observations are ubiquitous in scientific studies and engineering applications. In these spatiotemporal inverse problems, observed multivariate time series are used to infer parameters of physical or…

Methodology · Statistics 2022-04-26 Shiwei Lan , Shuyi Li , Mirjeta Pasha

The stochastic differential equation (SDE)-based random process models of volatile renewable energy sources (RESs) jointly capture the evolving probability distribution and temporal correlation in continuous time. It has enabled recent…

Machine Learning · Computer Science 2023-12-12 Yiwei Qiu , Jin Lin , Zhipeng Zhou , Ningyi Dai , Feng Liu , Yonghua Song
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