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High-dimensional time series prediction is needed in applications as diverse as demand forecasting and climatology. Often, such applications require methods that are both highly scalable, and deal with noisy data in terms of corruptions or…

Machine Learning · Computer Science 2016-02-18 Hsiang-Fu Yu , Nikhil Rao , Inderjit S. Dhillon

Missing values are common in real-world time series, and multivariate time series forecasting with missing values (MTSF-M) has become a crucial area of research for ensuring reliable predictions. To address the challenge of missing data,…

Machine Learning · Computer Science 2026-02-03 Jie Yang , Yifan Hu , Kexin Zhang , Luyang Niu , Philip S. Yu , Kaize Ding

Many real-world ubiquitous applications, such as parking recommendations and air pollution monitoring, benefit significantly from accurate long-term spatio-temporal forecasting (LSTF). LSTF makes use of long-term dependency between spatial…

Machine Learning · Computer Science 2022-09-02 Wei Shao , Zhiling Jin , Shuo Wang , Yufan Kang , Xiao Xiao , Hamid Menouar , Zhaofeng Zhang , Junshan Zhang , Flora Salim

Similarity-based approaches represent a promising direction for time series analysis. However, many such methods rely on parameter tuning, and some have shortcomings if the time series are multivariate (MTS), due to dependencies between…

Machine Learning · Statistics 2017-06-30 Karl Øyvind Mikalsen , Filippo Maria Bianchi , Cristina Soguero-Ruiz , Robert Jenssen

Anomaly detection of time series, especially multivariate time series(time series with multiple sensors), has been focused on for several years. Though existing method has achieved great progress, there are several challenging problems to…

Machine Learning · Computer Science 2022-11-29 Weixuan Xiong , Xiaochen Sun

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 are widely used as signals in many classification/regression tasks. It is ubiquitous that time series contains many missing values. Given multiple correlated time series data, how to fill in missing values and to predict their…

Machine Learning · Computer Science 2018-05-29 Wei Cao , Dong Wang , Jian Li , Hao Zhou , Lei Li , Yitan Li

Multivariate time series forecasting is an important yet challenging problem in machine learning. Most existing approaches only forecast the series value of one future moment, ignoring the interactions between predictions of future moments…

Machine Learning · Computer Science 2019-12-12 Jiezhu Cheng , Kaizhu Huang , Zibin Zheng

Irregular multivariate time series with missing values present significant challenges for predictive modeling in domains such as healthcare. While deep learning approaches often focus on temporal interpolation or complex architectures to…

Machine Learning · Computer Science 2026-03-16 Dingyi Nie , Yixing Wu , C. -C. Jay Kuo

Joint modeling technique is a recent advancement in effectively analyzing the longitudinal history of patients with the occurrence of an event of interest attached to it. This procedure is successfully implemented in biomarker studies to…

Methodology · Statistics 2021-01-08 Gajendra K. Vishwakarma , Atanu Bhattacharjee , Souvik Banerjee

Long-term time series forecasting (LTSF) is a critical task across diverse domains. Despite significant advancements in LTSF research, we identify a performance bottleneck in existing LTSF methods caused by the inadequate modeling of…

Machine Learning · Computer Science 2025-09-22 Qi Xiong , Kai Tang , Minbo Ma , Ji Zhang , Jie Xu , Tianrui Li

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

Spatial-temporal graphs are widely used in a variety of real-world applications. Spatial-Temporal Graph Neural Networks (STGNNs) have emerged as a powerful tool to extract meaningful insights from this data. However, in real-world…

Machine Learning · Computer Science 2024-12-18 Zhenyu Lei , Yushun Dong , Jundong Li , Chen Chen

Multivariate time series forecasting has long received significant attention in real-world applications, such as energy consumption and traffic prediction. While recent methods demonstrate good forecasting abilities, they have three…

Machine Learning · Computer Science 2022-11-24 Ming Jin , Yu Zheng , Yuan-Fang Li , Siheng Chen , Bin Yang , Shirui Pan

In the context of time series forecasting, it is a common practice to evaluate multiple methods and choose one of these methods or an ensemble for producing the best forecasts. However, choosing among different ensembles over multiple…

Machine Learning · Computer Science 2021-12-16 Himanshi Charotia , Abhishek Garg , Gaurav Dhama , Naman Maheshwari

Accurate prediction of disease trajectories is critical for early identification and timely treatment of patients at risk. Conventional methods in survival analysis are often constrained by strong parametric assumptions and limited in their…

Machine Learning · Computer Science 2018-11-28 Daniel Jarrett , Jinsung Yoon , Mihaela van der Schaar

Given a set of synchronous time series, each associated with a sensor-point in space and characterized by inter-series relationships, the problem of spatiotemporal forecasting consists of predicting future observations for each point.…

Machine Learning · Computer Science 2024-06-11 Ivan Marisca , Cesare Alippi , Filippo Maria Bianchi

Spatio-Temporal Multivariate time series Forecast (STMF) uses the time series of $n$ spatially distributed variables in a period of recent past to forecast their values in a period of near future. It has important applications in…

Machine Learning · Computer Science 2025-10-29 Zibo Liu , Zhe Jiang , Zelin Xu , Tingsong Xiao , Yupu Zhang , Zhengkun Xiao , Haibo Wang , Shigang Chen

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

Longitudinal data are important in numerous fields, such as healthcare, sociology and seismology, but real-world datasets present notable challenges for practitioners because they can be high-dimensional, contain structured missingness…

Machine Learning · Computer Science 2024-07-01 Maksim Sinelnikov , Manuel Haussmann , Harri Lähdesmäki
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