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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

Time series forecasting presents significant challenges due to the complex temporal dependencies at multiple time scales. This paper introduces ScatterFusion, a novel framework that synergistically integrates scattering transforms with…

Machine Learning · Computer Science 2026-01-29 Wei Li

We consider the problem of inference for non-stationary time series with heavy-tailed error distribution. Under a time-varying linear process framework we show that there exists a suitable local approximation by a stationary process with…

Statistics Theory · Mathematics 2024-07-09 Fumiya Akashi , Konstantinos Fokianos , Junichi Hirukawa

With the advancement of sensing technology, multivariate time series classification (MTSC) has recently received considerable attention. Existing deep learning-based MTSC techniques, which mostly rely on convolutional or recurrent neural…

Machine Learning · Computer Science 2021-11-09 Ziheng Duan , Haoyan Xu , Yueyang Wang , Yida Huang , Anni Ren , Zhongbin Xu , Yizhou Sun , Wei Wang

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

A reliable and efficient representation of multivariate time series is crucial in various downstream machine learning tasks. In multivariate time series forecasting, each variable depends on its historical values and there are…

Machine Learning · Computer Science 2022-08-22 William T. Ng , K. Siu , Albert C. Cheung , Michael K. Ng

In recent years, numerous Transformer-based models have been applied to long-term time-series forecasting (LTSF) tasks. However, recent studies with linear models have questioned their effectiveness, demonstrating that simple linear layers…

Machine Learning · Computer Science 2024-08-20 Jiaheng Yin , Zhengxin Shi , Jianshen Zhang , Xiaomin Lin , Yulin Huang , Yongzhi Qi , Wei Qi

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) forecasting has a wide range of applications in both industry and academia. Recent advances in Spatial-Temporal Graph Neural Network (STGNN) have achieved great progress in modelling spatial-temporal…

Machine Learning · Computer Science 2025-05-22 Huiliang Zhang , Di Wu , Arnaud Zinflou , Stephane Dellacherie , Mouhamadou Makhtar Dione , Benoit Boulet

Time series data is a key element of big data analytics, commonly found in domains such as finance, healthcare, climate forecasting, and transportation. In large scale real world settings, such data is often high dimensional and…

Machine Learning · Computer Science 2025-08-14 Younghwi Kim , Dohee Kim , Joongrock Kim , Sunghyun Sim

Future projection of climate is typically obtained by combining outputs from multiple Earth System Models (ESMs) for several climate variables such as temperature and precipitation. While IPCC has traditionally used a simple model output…

Machine Learning · Computer Science 2017-02-01 André R. Gonçalves , Arindam Banerjee , Fernando J. Von Zuben

We develop an estimator for the high-dimensional covariance matrix of a locally stationary process with a smoothly varying trend and use this statistic to derive consistent predictors in non-stationary time series. In contrast to the…

Methodology · Statistics 2020-01-08 Holger Dette , Weichi Wu

Transformer-based models have greatly pushed the boundaries of time series forecasting recently. Existing methods typically encode time series data into $\textit{patches}$ using one or a fixed set of patch lengths. This, however, could…

Machine Learning · Computer Science 2024-02-09 Linfeng Du , Ji Xin , Alex Labach , Saba Zuberi , Maksims Volkovs , Rahul G. Krishnan

Most current multivariate time series (MTS) classification algorithms focus on improving the predictive accuracy. However, for large-scale (either high-dimensional or long-sequential) time series (TS) datasets, there is an additional…

Machine Learning · Computer Science 2022-03-29 Yuqing Wang , Yun Zhao , Linda Petzold

Deep learning-based algorithms, e.g., convolutional networks, have significantly facilitated multivariate time series classification (MTSC) task. Nevertheless, they suffer from the limitation in modeling long-range dependence due to the…

Machine Learning · Computer Science 2023-02-21 Mingyue Cheng , Qi Liu , Zhiding Liu , Zhi Li , Yucong Luo , Enhong Chen

Conventional time series classification approaches based on bags of patterns or shapelets face significant challenges in dealing with a vast amount of feature candidates from high-dimensional multivariate data. In contrast, deep neural…

Machine Learning · Computer Science 2023-06-07 Raneen Younis , Abdul Hakmeh , Zahra Ahmadi

Traffic forecasting task is significant to modern urban management. Recently, there is growing attention on large-scale forecasting, as it better reflects the complexity of real-world traffic networks. However, existing models often exhibit…

Machine Learning · Computer Science 2025-12-10 Yongyao Wang , Jingyuan Wang , Xie Yu , Jiahao Ji , Chao Li

Time series forecasting presents a significant challenge, particularly when its accuracy relies on external data sources rather than solely on historical values. This issue is prevalent in the financial sector, where the future behavior of…

Machine Learning · Computer Science 2024-03-22 Hajar Emami , Xuan-Hong Dang , Yousaf Shah , Petros Zerfos

Multivariate time-series forecasting holds immense value across diverse applications, requiring methods to effectively capture complex temporal and inter-variable dynamics. A key challenge lies in uncovering the intrinsic patterns that…

Machine Learning · Computer Science 2025-03-12 Liang Yu , Lai Tu , Xiang Bai

Time series forecasting holds significant importance across various industries, including finance, transportation, energy, healthcare, and climate. Despite the widespread use of linear networks due to their low computational cost and…

Machine Learning · Computer Science 2025-05-02 Chengsen Wang , Qi Qi , Jingyu Wang , Haifeng Sun , Zirui Zhuang , Jianxin Liao