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Most model reduction methods reduce the state dimension and then temporally evolve a set of coefficients that encode the state in the reduced representation. In this paper, we instead employ an efficient representation of the entire…

Numerical Analysis · Mathematics 2025-11-03 Peter Frame , Cong Lin , Oliver Schmidt , Aaron Towne

Data-driven methods are emerging as efficient alternatives to traditional numerical forecasting, offering fast inference and lower computational cost. Yet, for complex systems, long-term accuracy often deteriorates due to error…

Machine Learning · Computer Science 2025-09-03 Hao Zhou , Sibo Cheng

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

Robotic motor control necessitates the ability to predict the dynamics of environments and interaction objects. However, advanced self-supervised pre-trained visual representations in robotic motor control, leveraging large-scale egocentric…

Robotics · Computer Science 2024-11-25 Jiange Yang , Bei Liu , Jianlong Fu , Bocheng Pan , Gangshan Wu , Limin Wang

Spatio-temporal time series are widely used in real-world applications, including traffic prediction and weather forecasting. They are sequences of observations over extensive periods and multiple locations, naturally represented as…

Machine Learning · Computer Science 2026-03-12 Taehyung Kwon , Yeonje Choi , Yeongho Kim , Kijung Shin

In multivariate time series (MTS) forecasting, many deep learning based methods have been proposed for modeling dependencies at multiple spatial (inter-variate) or temporal (intra-variate) scales. However, existing methods may fail to model…

Machine Learning · Computer Science 2025-09-03 Binqing Wu , Jianlong Huang , Zongjiang Shang , Ling Chen

Spatio-temporal forecasting is essential for real-world applications such as traffic management and urban computing. Although recent methods have shown improved accuracy, they often fail to account for dynamic deviations between current…

Machine Learning · Computer Science 2025-10-07 Haotian Gao , Zheng Dong , Jiawei Yong , Shintaro Fukushima , Kenjiro Taura , Renhe Jiang

Spatial-temporal causal time series (STC-TS) involve region-specific temporal observations driven by causally relevant covariates and interconnected across geographic or network-based spaces. Existing methods often model spatial and…

Machine Learning · Computer Science 2025-11-13 Yang Yang , Du Yin , Hao Xue , Flora Salim

Making an accurate prediction of an unknown system only from a short-term time series is difficult due to the lack of sufficient information, especially in a multi-step-ahead manner. However, a high-dimensional short-term time series…

Machine Learning · Computer Science 2022-04-27 Peng Tao , Xiaohu Hao , Jie Cheng , Luonan Chen

Leveraging spatio-temporal correlations among wind farms can significantly enhance the accuracy of ultra-short-term wind power forecasting. However, the complex and dynamic nature of these correlations presents significant modeling…

Machine Learning · Computer Science 2024-12-17 Xiaochong Dong , Xuemin Zhang , Ming Yang , Shengwei Mei

Simulating the long-term dynamics of multi-scale and multi-physics systems poses a significant challenge in understanding complex phenomena across science and engineering. The complexity arises from the intricate interactions between scales…

Machine Learning · Computer Science 2025-09-22 Da Long , Shandian Zhe , Samuel Williams , Leonid Oliker , Zhe Bai

We introduce a data-driven forecasting method for high-dimensional chaotic systems using long short-term memory (LSTM) recurrent neural networks. The proposed LSTM neural networks perform inference of high-dimensional dynamical systems in…

Computational Physics · Physics 2019-09-20 Pantelis R. Vlachas , Wonmin Byeon , Zhong Y. Wan , Themistoklis P. Sapsis , Petros Koumoutsakos

We propose Space-time in situ postprocessing (STIPP), a machine learning model that generates spatio-temporally consistent weather forecasts for a network of station locations. Gridded forecasts from classical numerical weather prediction…

Atmospheric and Oceanic Physics · Physics 2026-01-07 David Landry , Isabelle Gouttevin , Hugo Merizen , Claire Monteleoni , Anastase Charantonis

Operational Numerical Weather Prediction (NWP) system relies on computationally expensive physics-based models. Recently, transformer models have shown remarkable potential in weather forecasting achieving state-of-the-art results. However,…

Machine Learning · Computer Science 2025-12-02 Hira Saleem , Flora Salim , Cormac Purcell

Wind power is attracting increasing attention around the world due to its renewable, pollution-free, and other advantages. However, safely and stably integrating the high permeability intermittent power energy into electric power systems…

Machine Learning · Computer Science 2023-05-31 Yang Zhang , Lingbo Liu , Xinyu Xiong , Guanbin Li , Guoli Wang , Liang Lin

Robotic manipulation is often specified through language instructions or task identifiers, yet cluttered environments with similar objects are better handled by spatially indicating what to move and where to place it. Addressing the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-20 Yifan Li , Xinyu Zhou , Yunhao Ge , Yu Kong

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

This paper introduces a data-driven time embedding method for modeling long-range seasonal dependencies in spatiotemporal forecasting tasks. The proposed approach employs Dynamic Mode Decomposition (DMD) to extract temporal modes directly…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Xudong Wang , Lijun Sun

With the rapid development of location based services, multimodal spatio-temporal (ST) data including trajectories, transportation modes, traffic flow and social check-ins are being collected for deep learning based methods. These deep…

Machine Learning · Computer Science 2024-07-24 Chenxing Wang

3D human motion prediction is a research area of high significance and a challenge in computer vision. It is useful for the design of many applications including robotics and autonomous driving. Traditionally, autogregressive models have…

Computer Vision and Pattern Recognition · Computer Science 2023-03-14 Avinash Ajit Nargund , Misha Sra
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