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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 work contributes to the development of neural forecasting models with novel randomization-based learning methods. These methods improve the fitting abilities of the neural model, in comparison to the standard method, by generating…

Machine Learning · Computer Science 2021-07-06 Grzegorz Dudek

Transformer-based methods have achieved impressive results in time series forecasting. However, existing Transformers still exhibit limitations in sequence modeling as they tend to overemphasize temporal dependencies. This incurs additional…

Machine Learning · Computer Science 2025-12-16 Tan Wang , Yun Wei Dong , Qi Wang

Multivariate Time Series (MTS) forecasting plays a vital role in various real-world applications, such as traffic management and predictive maintenance. Existing approaches typically model MTS data in either Euclidean or Riemannian space,…

Machine Learning · Computer Science 2025-12-17 Yong Fang , Na Li , Hangguan Shan , Eryun Liu , Xinyu Li , Wei Ni , Er-Ping Li

Multivariate time series (MTS) forecasting plays an important role in the automation and optimization of intelligent applications. It is a challenging task, as we need to consider both complex intra-variable dependencies and inter-variable…

Machine Learning · Computer Science 2023-04-11 Ling Chen , Donghui Chen , Zongjiang Shang , Binqing Wu , Cen Zheng , Bo Wen , Wei Zhang

We introduce Hyper-Trees as a novel framework for modeling time series data using gradient boosted trees. Unlike conventional tree-based approaches that forecast time series directly, Hyper-Trees learn the parameters of a target time series…

Machine Learning · Computer Science 2026-02-09 Alexander März , Kashif Rasul

Time series forecasting has widespread applications in urban life ranging from air quality monitoring to traffic analysis. However, accurate time series forecasting is challenging because real-world time series suffer from the distribution…

Machine Learning · Computer Science 2022-07-15 Wenying Duan , Xiaoxi He , Lu Zhou , Lothar Thiele , Hong Rao

In recent years, deep learning techniques have outperformed traditional models in many machine learning tasks. Deep neural networks have successfully been applied to address time series forecasting problems, which is a very important topic…

Machine Learning · Computer Science 2021-04-09 Pedro Lara-Benítez , Manuel Carranza-García , José C. Riquelme

Multivariate time series data provide a robust framework for future predictions by leveraging information across multiple dimensions, ensuring broad applicability in practical scenarios. However, their high dimensionality and mixing…

Machine Learning · Computer Science 2024-11-28 Xuanbing Zhu , Dunbin Shen , Zhongwen Rao , Huiyi Ma , Yingguang Hao , Hongyu Wang

Deep models for Multivariate Time Series (MTS) forecasting have recently demonstrated significant success. Channel-dependent models capture complex dependencies that channel-independent models cannot capture. However, the number of channels…

Machine Learning · Computer Science 2024-08-09 Xin Zhou , Weiqing Wang , Wray Buntine , Shilin Qu , Abishek Sriramulu , Weicong Tan , Christoph Bergmeir

Modeling multivariate time series has long been a subject that has attracted researchers from a diverse range of fields including economics, finance, and traffic. A basic assumption behind multivariate time series forecasting is that its…

Machine Learning · Computer Science 2020-05-26 Zonghan Wu , Shirui Pan , Guodong Long , Jing Jiang , Xiaojun Chang , Chengqi Zhang

Irregular Multivariate Time Series (IMTS) forecasting is challenging due to the unaligned nature of multi-channel signals and the prevalence of extensive missing data. Existing methods struggle to capture reliable temporal patterns from…

Computer Vision and Pattern Recognition · Computer Science 2025-06-02 Zhangyi Hu , Jiemin Wu , Hua Xu , Mingqian Liao , Ninghui Feng , Bo Gao , Songning Lai , Yutao Yue

Forecasting future outcomes from recent time series data is not easy, especially when the future data are different from the past (i.e. time series are under temporal drifts). Existing approaches show limited performances under data drifts,…

Machine Learning · Computer Science 2022-11-23 Jaehoon Lee , Chan Kim , Gyumin Lee , Haksoo Lim , Jeongwhan Choi , Kookjin Lee , Dongeun Lee , Sanghyun Hong , Noseong Park

In multivariate time series forecasting, the Transformer architecture encounters two significant challenges: effectively mining features from historical sequences and avoiding overfitting during the learning of temporal dependencies. To…

Machine Learning · Computer Science 2024-04-30 Han Zhou , Yuntian Chen

Recent progress in neural forecasting accelerated improvements in the performance of large-scale forecasting systems. Yet, long-horizon forecasting remains a very difficult task. Two common challenges afflicting the task are the volatility…

Multivariate time series (MTS) forecasting is widely used in various domains, such as meteorology and traffic. Due to limitations on data collection, transmission, and storage, real-world MTS data usually contains missing values, making it…

Machine Learning · Computer Science 2019-11-26 Xianfeng Tang , Huaxiu Yao , Yiwei Sun , Charu Aggarwal , Prasenjit Mitra , Suhang Wang

Real-world time series often exhibit complex interdependencies that cannot be captured in isolation. Global models that model past data from multiple related time series globally while producing series-specific forecasts locally are now…

Machine Learning · Computer Science 2024-05-14 Abishek Sriramulu , Christoph Bergmeir , Slawek Smyl

Multivariate time series forecasting has been widely used in various practical scenarios. Recently, Transformer-based models have shown significant potential in forecasting tasks due to the capture of long-range dependencies. However,…

Machine Learning · Computer Science 2023-02-10 Zhe Li , Zhongwen Rao , Lujia Pan , Zenglin Xu

Multivariate time series (MTS) forecasting is crucial in many real-world applications. To achieve accurate MTS forecasting, it is essential to simultaneously consider both intra- and inter-series relationships among time series data.…

Machine Learning · Computer Science 2024-02-26 Kun Yi , Qi Zhang , Hui He , Kaize Shi , Liang Hu , Ning An , Zhendong Niu

Multivariate time series forecasting plays a crucial role in various real-world applications. Significant efforts have been made to integrate advanced network architectures and training strategies that enhance the capture of temporal…

Machine Learning · Computer Science 2024-10-31 Zhiding Liu , Jiqian Yang , Qingyang Mao , Yuze Zhao , Mingyue Cheng , Zhi Li , Qi Liu , Enhong Chen