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The forecasting of Multivariate Time Series (MTS) has long been an important but challenging task. Due to the non-stationary problem across long-distance time steps, previous studies primarily adopt stationarization method to attenuate the…

Machine Learning · Computer Science 2024-03-11 Muyao Wang , Wenchao Chen , Bo Chen

Forecasting the behaviour of complex dynamical systems such as interconnected sensor networks characterized by high-dimensional multivariate time series(MTS) is of paramount importance for making informed decisions and planning for the…

Machine Learning · Computer Science 2024-08-23 Sagar Srinivas Sakhinana , Shivam Gupta , Krishna Sai Sudhir Aripirala , Venkataramana Runkana

Effectively modeling non-stationary dynamics in probabilistic multivariate time series(MTS) forecasting requires balancing expressiveness with robustness. Existing parametric approaches benefit from strong inductive biases but lack…

Machine Learning · Computer Science 2026-05-25 Jinglin Li , Jun Tan , QI Fang , Ning Gui

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

Probabilistic forecasting of multivariate time series is essential for various downstream tasks. Most existing approaches rely on the sequences being uniformly spaced and aligned across all variables. However, real-world multivariate time…

Machine Learning · Computer Science 2025-02-18 Yijun Li , Cheuk Hang Leung , Qi Wu

Multivariate Time Series (MTS) forecasting involves modeling temporal dependencies within historical records. Transformers have demonstrated remarkable performance in MTS forecasting due to their capability to capture long-term…

Machine Learning · Computer Science 2024-07-17 Yifan Zhang , Rui Wu , Sergiu M. Dascalu , Frederick C. Harris

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

Multi-variate time series (MTS) data is a ubiquitous class of data abstraction in the real world. Any instance of MTS is generated from a hybrid dynamical system and their specific dynamics are usually unknown. The hybrid nature of such a…

Machine Learning · Computer Science 2021-09-07 Jinliang Deng , Xiusi Chen , Renhe Jiang , Xuan Song , Ivor W. Tsang

Irregular multivariate time series forecasting (IMTSF) is challenging due to non-uniform sampling and variable asynchronicity. These irregularities violate the equidistant assumptions of standard models, hindering local temporal modeling…

Machine Learning · Computer Science 2026-02-03 Xiangfei Qiu , Kangjia Yan , Xvyuan Liu , Xingjian Wu , Jilin Hu

Multivariate time series forecasting is widely used in various fields. Reasonable prediction results can assist people in planning and decision-making, generate benefits and avoid risks. Normally, there are two characteristics of time…

Machine Learning · Computer Science 2021-03-23 Yifu Zhou , Ziheng Duan , Haoyan Xu , Jie Feng , Anni Ren , Yueyang Wang , Xiaoqian Wang

Recently, multivariate time series forecasting tasks have garnered increasing attention due to their significant practical applications, leading to the emergence of various deep forecasting models. However, real-world time series exhibit…

Machine Learning · Computer Science 2024-07-16 Jiaxi Hu , Qingsong Wen , Sijie Ruan , Li Liu , Yuxuan Liang

Accurately predicting the behavior of complex dynamical systems, characterized by high-dimensional multivariate time series(MTS) in interconnected sensor networks, is crucial for informed decision-making in various applications to minimize…

Machine Learning · Computer Science 2024-08-23 Sagar Srinivas Sakhinana , Krishna Sai Sudhir Aripirala , Shivam Gupta , Venkataramana Runkana

Irregular multivariate time series (IMTS) are characterized by irregular time intervals within variables and unaligned observations across variables, posing challenges in learning temporal and variable dependencies. Many existing IMTS…

Machine Learning · Computer Science 2025-05-26 Boyuan Li , Yicheng Luo , Zhen Liu , Junhao Zheng , Jianming Lv , Qianli Ma

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

Multivariate time series (MTS) forecasting has shown great importance in numerous industries. Current state-of-the-art graph neural network (GNN)-based forecasting methods usually require both graph networks (e.g., GCN) and temporal…

Machine Learning · Computer Science 2023-11-13 Kun Yi , Qi Zhang , Wei Fan , Hui He , Liang Hu , Pengyang Wang , Ning An , Longbing Cao , Zhendong Niu

Transformer-based models have emerged as powerful tools for multivariate time series forecasting (MTSF). However, existing Transformer models often fall short of capturing both intricate dependencies across variate and temporal dimensions…

Machine Learning · Computer Science 2024-06-10 Juncheng Liu , Chenghao Liu , Gerald Woo , Yiwei Wang , Bryan Hooi , Caiming Xiong , Doyen Sahoo

Irregular multivariate time series (IMTS) are prevalent in critical domains like healthcare and finance, where accurate forecasting is vital for proactive decision-making. However, the asynchronous sampling and irregular intervals inherent…

Machine Learning · Computer Science 2026-03-16 Xvyuan Liu , Xiangfei Qiu , Hanyin Cheng , Xingjian Wu , Chenjuan Guo , Bin Yang , Jilin Hu

Multivariate time series (MTS) forecasting is an essential problem in many fields. Accurate forecasting results can effectively help decision-making. To date, many MTS forecasting methods have been proposed and widely applied. However,…

Machine Learning · Computer Science 2021-12-16 Ziheng Duan , Haoyan Xu , Yida Huang , Jie Feng , Yueyang Wang

Probabilistic time series forecasting is crucial for quantifying future uncertainty, with significant applications in fields such as energy and finance. However, existing methods often rely on computationally expensive sampling or…

Machine Learning · Computer Science 2026-01-21 Lei Liu , Tengyuan Liu , Hongwei Zhao , Jiahui Huang , Ruibo Guo , Bin Li

Forecasting on sparse multivariate time series (MTS) aims to model the predictors of future values of time series given their incomplete past, which is important for many emerging applications. However, most existing methods process MTS's…

Machine Learning · Computer Science 2021-03-04 Yinjun Wu , Jingchao Ni , Wei Cheng , Bo Zong , Dongjin Song , Zhengzhang Chen , Yanchi Liu , Xuchao Zhang , Haifeng Chen , Susan Davidson
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