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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

Performance unfairness among variables widely exists in multivariate time series (MTS) forecasting models since such models may attend/bias to certain (advantaged) variables. Addressing this unfairness problem is important for equally…

Machine Learning · Computer Science 2023-10-24 Hui He , Qi Zhang , Shoujin Wang , Kun Yi , Zhendong Niu , Longbing Cao

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 involves two qualitatively distinct factors: (i) stable within-series autoregressive (AR) dynamics, and (ii) intermittent cross-dimension interactions that can become spurious over long horizons. We…

Machine Learning · Computer Science 2026-02-13 Zhihang Yuan , Zhiyuan Liu , Mahesh K. Marina

Irregular multivariate time series (IMTS) is characterized by the lack of synchronized observations across its different channels. In this paper, we point out that this channel-wise asynchrony can lead to poor channel-wise modeling of…

Machine Learning · Computer Science 2025-09-23 Shuhan Zhong , Weipeng Zhuo , Sizhe Song , Guanyao Li , Zhongyi Yu , S. -H. Gary Chan

The diversity of time series applications and scarcity of domain-specific data highlight the need for time-series models with strong few-shot learning capabilities. In this work, we propose a novel training scheme and a transformer-based…

Machine Learning · Computer Science 2025-02-25 Ege Onur Taga , M. Emrullah Ildiz , Samet Oymak

This paper introduces a novel spatiotemporal feature representation model designed to address the limitations of traditional methods in multidimensional time series (MTS) analysis. The proposed approach converts MTS into one-dimensional…

Machine Learning · Computer Science 2024-10-10 Xu Yan , Yaoting Jiang , Wenyi Liu , Didi Yi , Jianjun Wei

Multivariate time-series (MTS) forecasting is a challenging task in many real-world non-stationary dynamic scenarios. In addition to intra-series temporal signals, the inter-series dependency also plays a crucial role in shaping future…

Machine Learning · Computer Science 2023-12-29 Weijun Chen , Heyuan Wang , Ye Tian , Shijie Guan , Ning Liu

Multivariate time series (MTS) have become increasingly common in healthcare domains where human vital signs and laboratory results are collected for predictive diagnosis. Recently, there have been increasing efforts to visualize healthcare…

Machine Learning · Computer Science 2017-08-29 Minh Nguyen , Sanjay Purushotham , Hien To , Cyrus Shahabi

Multivariate time-series (MTS) forecasting is fundamental to applications ranging from urban mobility and resource management to climate modeling. While recent generative models based on denoising diffusion have advanced state-of-the-art…

Machine Learning · Computer Science 2025-11-21 Seyed Mohamad Moghadas , Bruno Cornelis , Adrian Munteanu

Multivariate Time Series (MTS) data capture temporal behaviors to provide invaluable insights into various physical dynamic phenomena. In smart mobility, MTS plays a crucial role in providing temporal dynamics of behaviors such as maneuver…

Machine Learning · Computer Science 2024-09-12 Thabang Lebese

Financial time series forecasting presents significant challenges due to complex nonlinear relationships, temporal dependencies, variable interdependencies and limited data availability, particularly for tasks involving low-frequency data,…

General Finance · Quantitative Finance 2025-07-11 Ben A. Marconi

We investigate the optimal structure of dynamic regression models used in multivariate time series prediction and propose a scheme to form the lagged variable structure called Backward-in-Time Selection (BTS) that takes into account…

Applications · Statistics 2013-01-14 Ioannis Vlachos , Dimitris Kugiumtzis

Correlated time series (CTS) forecasting plays an essential role in many practical applications, such as traffic management and server load control. Many deep learning models have been proposed to improve the accuracy of CTS forecasting.…

Machine Learning · Computer Science 2023-02-28 Zhichen Lai , Dalin Zhang , Huan Li , Christian S. Jensen , Hua Lu , Yan Zhao

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

Multivariate time-series (MTS) forecasting is a paramount and fundamental problem in many real-world applications. The core issue in MTS forecasting is how to effectively model complex spatial-temporal patterns. In this paper, we develop a…

Machine Learning · Computer Science 2024-02-16 Jinliang Deng , Xiusi Chen , Renhe Jiang , Du Yin , Yi Yang , Xuan Song , Ivor W. Tsang

Multivariate time series (MTS) are ubiquitous in domains such as healthcare, climate science, and industrial monitoring, but their high dimensionality, limited labeled data, and non-stationary nature pose significant challenges for…

Machine Learning · Computer Science 2025-09-09 Jia Wang , Xiao Wang , Chi Zhang

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

Self-supervised representation learning of Multivariate Time Series (MTS) is a challenging task and attracts increasing research interests in recent years. Many previous works focus on the pretext task of self-supervised learning and…

Machine Learning · Computer Science 2022-03-10 Yijiang Chen , Xiangdong Zhou , Zhen Xing , Zhidan Liu , Minyang Xu

Recent studies have indicated that vision models pre-trained on images can serve as time series foundation models (TSFMs) by reformulating time series forecasting (TSF) as image reconstruction. However, effective cross-modal transfer from…

Computer Vision and Pattern Recognition · Computer Science 2025-10-13 Lefei Shen , Mouxiang Chen , Xu Liu , Han Fu , Xiaoxue Ren , Jianling Sun , Zhuo Li , Chenghao Liu