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We propose a two-step procedure to model and predict high-dimensional functional time series, where the number of function-valued time series $p$ is large in relation to the length of time series $n$. Our first step performs an…

Methodology · Statistics 2024-06-04 Jinyuan Chang , Qin Fang , Xinghao Qiao , Qiwei Yao

Deep learning has contributed remarkably to the advancement of time series analysis. Still, deep models can encounter performance bottlenecks in real-world data-scarce scenarios, which can be concealed due to the performance saturation with…

Machine Learning · Computer Science 2024-10-21 Yong Liu , Haoran Zhang , Chenyu Li , Xiangdong Huang , Jianmin Wang , Mingsheng Long

Large-scale pre-trained models (PTMs) such as BERT and GPT have recently achieved great success in Natural Language Processing and Computer Vision domains. However, the development of PTMs on healthcare time-series data is lagging…

Machine Learning · Computer Science 2024-09-10 Ziyang Song , Qincheng Lu , Hao Xu , He Zhu , David L. Buckeridge , Yue Li

We formulate a reduced-order strategy for efficiently forecasting complex high-dimensional dynamical systems entirely based on data streams. The first step of our method involves reconstructing the dynamics in a reduced-order subspace of…

Data Analysis, Statistics and Probability · Physics 2017-03-08 Zhong Yi Wan , Themistoklis P. Sapsis

Accurate time series prediction over long future horizons is challenging and of great interest to both practitioners and academics. As a well-known intelligent algorithm, the standard formulation of Support Vector Regression (SVR) could be…

Machine Learning · Computer Science 2014-01-14 Yukun Bao , Tao Xiong , Zhongyi Hu

Recent efforts have been dedicated to enhancing time series forecasting accuracy by introducing advanced network architectures and self-supervised pretraining strategies. Nevertheless, existing approaches still exhibit two critical…

Machine Learning · Computer Science 2024-06-19 Zhiding Liu , Jiqian Yang , Mingyue Cheng , Yucong Luo , Zhi Li

Although spatio-temporal graph neural networks have achieved great empirical success in handling multiple correlated time series, they may be impractical in some real-world scenarios due to a lack of sufficient high-quality training data.…

Signal Processing · Electrical Eng. & Systems 2021-02-10 Chao Pan , Siheng Chen , Antonio Ortega

In nonlinear dynamical systems, tipping refers to a critical transition from one steady state to another, typically catastrophic, steady state, often resulting from a saddle-node bifurcation. Recently, the machine-learning framework of…

Chaotic Dynamics · Physics 2026-04-09 Smita Deb , Zheng-Meng Zhai , Mulugeta Haile , Ying-Cheng Lai

Weather Forecasting is an attractive challengeable task due to its influence on human life and complexity in atmospheric motion. Supported by massive historical observed time series data, the task is suitable for data-driven approaches,…

Machine Learning · Computer Science 2022-09-20 Minbo Ma , Peng Xie , Fei Teng , Tianrui Li , Bin Wang , Shenggong Ji , Junbo Zhang

Big time series are increasingly available from an ever wider range of IoT-enabled sensors deployed in various environments. Significant insights can be gained by mining temporal patterns from these time series. Temporal pattern mining…

Databases · Computer Science 2023-06-21 Van Long Ho , Nguyen Ho , Torben Bach Pedersen , Panagiotis Papapetrou

Large language models (LLMs) are often trained on extensive, temporally indiscriminate text corpora, reflecting the lack of datasets with temporal metadata. This approach is not aligned with the evolving nature of language. Conventional…

Computation and Language · Computer Science 2024-04-30 Felix Drinkall , Eghbal Rahimikia , Janet B. Pierrehumbert , Stefan Zohren

This paper develops an approach for multi-step forecasting of dynamical systems by integrating probabilistic input forecasting with physics-informed output prediction. Accurate multi-step forecasting of time series systems is important for…

Machine Learning · Statistics 2026-01-13 Mahdi Nasiri , Johanna Kortelainen , Simo Särkkä

Very large time series are increasingly available from an ever wider range of IoT-enabled sensors deployed in different environments. Significant insights can be gained by mining temporal patterns from these time series. Unlike traditional…

Databases · Computer Science 2021-11-18 Van Long Ho , Nguyen Ho , Torben Bach Pedersen

Spatial-temporal prediction is a fundamental problem for constructing smart city, which is useful for tasks such as traffic control, taxi dispatching, and environmental policy making. Due to data collection mechanism, it is common to see…

Machine Learning · Computer Science 2020-08-25 Huaxiu Yao , Yiding Liu , Ying Wei , Xianfeng Tang , Zhenhui Li

Multivariate time series forecasting in graph-structured domains is critical for real-world applications, yet existing spatiotemporal models often suffer from performance degradation under data scarcity and cross-domain shifts. We address…

Machine Learning · Computer Science 2026-02-05 Zihao Jing , Yuxi Long , Ganlin Feng

Learning time-series representations for discriminative tasks, such as classification and regression, has been a long-standing challenge in the healthcare domain. Current pre-training methods are limited in either unidirectional next-token…

Artificial Intelligence · Computer Science 2024-08-27 Ziyang Song , Qincheng Lu , He Zhu , David Buckeridge , Yue Li

Deciding the best future execution time is a critical task in many business activities while evolving time series forecasting, and optimal timing strategy provides such a solution, which is driven by observed data. This solution has plenty…

Artificial Intelligence · Computer Science 2023-10-10 Chen Pan , Fan Zhou , Xuanwei Hu , Xinxin Zhu , Wenxin Ning , Zi Zhuang , Siqiao Xue , James Zhang , Yunhua Hu

Predicting the completion time of business process instances would be a very helpful aid when managing processes under service level agreement constraints. The ability to know in advance the trend of running process instances would allow…

Machine Learning · Computer Science 2017-11-13 Nicolò Navarin , Beatrice Vincenzi , Mirko Polato , Alessandro Sperduti

Recent innovations in diffusion probabilistic models have paved the way for significant progress in image, text and audio generation, leading to their applications in generative time series forecasting. However, leveraging such abilities to…

Machine Learning · Computer Science 2025-11-07 Yuansan Liu , Sudanthi Wijewickrema , Dongting Hu , Christofer Bester , Stephen O'Leary , James Bailey

Unrestricted multi-agent racing presents a significant research challenge, requiring decision-making at the limits of a robot's operational capabilities. While previous approaches have either ignored spatiotemporal information in the…

Robotics · Computer Science 2025-06-23 Nadine Imholz , Maurice Brunner , Nicolas Baumann , Edoardo Ghignone , Michele Magno