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An emerging way of tackling the dimensionality issues arising in the modeling of a multivariate process is to assume that the inherent data structure can be captured by a graph. Nevertheless, though state-of-the-art graph-based methods have…

Machine Learning · Statistics 2016-07-13 Andreas Loukas , Nathanael Perraudin

Time series forecasting is critical for decision-making across dynamic domains such as energy, finance, transportation, and cloud computing. However, real-world time series often exhibit non-stationarity, including temporal distribution…

Machine Learning · Computer Science 2025-12-01 Junkai Lu , Peng Chen , Chenjuan Guo , Yang Shu , Meng Wang , Bin Yang

Irregular multivariate time series (IMTS) are prevalent in real-world applications across many fields, where varying sensor frequencies and asynchronous measurements pose significant modeling challenges. Existing solutions often rely on a…

Machine Learning · Computer Science 2025-05-08 Yulong Wang , Xiaofeng Hu , Xiaojian Cui , Kai 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

Spatiotemporal forecasting is critical in applications such as traffic prediction, climate modeling, and environmental monitoring. However, the prevalence of missing data in real-world sensor networks significantly complicates this task. In…

Machine Learning · Computer Science 2025-01-20 Muhammad Bilal , Luis Carretero Lopez

In multivariate time series (MTS) forecasting, many deep learning based methods have been proposed for modeling dependencies at multiple spatial (inter-variate) or temporal (intra-variate) scales. However, existing methods may fail to model…

Machine Learning · Computer Science 2025-09-03 Binqing Wu , Jianlong Huang , Zongjiang Shang , Ling Chen

Due to the non-stationarity of time series, the distribution shift problem largely hinders the performance of time series forecasting. Existing solutions either rely on using certain statistics to specify the shift, or developing specific…

Machine Learning · Computer Science 2025-02-10 Wei Fan , Shun Zheng , Pengyang Wang , Rui Xie , Kun Yi , Qi Zhang , Jiang Bian , Yanjie Fu

While Time Series Foundation Models (TSFMs) have demonstrated exceptional performance in generalized forecasting, their performance often degrades significantly when deployed in real-world vertical domains characterized by temporal…

Machine Learning · Computer Science 2026-02-17 Xiaoyun Yu , Li fan , Xiangfei Qiu , Nanqing Dong , Yonggui Huang , Honggang Qi , Geguang Pu , Wanli Ouyang , Xi Chen , Jilin Hu

Forecasting Multivariate Time Series (MTS) involves significant challenges in various application domains. One immediate challenge is modeling temporal patterns with the finite length of the input. These temporal patterns usually involve…

Machine Learning · Computer Science 2024-09-30 Muyao Wang , Wenchao Chen , Zhibin Duan , Bo Chen

In Internet of things (IoT), data is continuously recorded from different data sources and devices can suffer faults in their embedded electronics, thus leading to a high-dimensional data sets and concept drift events. Therefore, methods…

Machine Learning · Computer Science 2021-07-22 Hugo Vinicius Bitencourt , Frederico Gadelha Guimarães

Irregular Multivariate Time Series (IMTS) are characterized by uneven intervals between consecutive timestamps, which carry sampling pattern information valuable and informative for learning temporal and variable dependencies. In addition,…

Machine Learning · Computer Science 2026-02-26 Boyuan Li , Zhen Liu , Yicheng Luo , Qianli Ma

Tensor time series (TTS) data, a generalization of one-dimensional time series on a high-dimensional space, is ubiquitous in real-world scenarios, especially in monitoring systems involving multi-source spatio-temporal data (e.g.,…

Machine Learning · Computer Science 2023-06-08 Jiewen Deng , Jinliang Deng , Renhe Jiang , Xuan Song

The probability prediction of multivariate time series is a notoriously challenging but practical task. On the one hand, the challenge is how to effectively capture the cross-series correlations between interacting time series, to achieve…

Machine Learning · Computer Science 2023-07-24 Shibo Feng , Chunyan Miao , Ke Xu , Jiaxiang Wu , Pengcheng Wu , Yang Zhang , Peilin Zhao

There has been a recent surge of interest in time series modeling using the Transformer architecture. However, forecasting multivariate time series with Transformer presents a unique challenge as it requires modeling both temporal…

Machine Learning · Computer Science 2025-07-04 Yu-Hsiang Lan , Eric K. Oermann

In the current context of Big Data, the nature of many forecasting problems has changed from predicting isolated time series to predicting many time series from similar sources. This has opened up the opportunity to develop competitive…

Machine Learning · Computer Science 2021-03-23 Hansika Hewamalage , Christoph Bergmeir , Kasun Bandara

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

The development of robust generative models for highly varied non-stationary time series data is a complex yet important problem. Traditional models for time series data prediction, such as Long Short-Term Memory (LSTM), are inefficient and…

Machine Learning · Computer Science 2024-11-18 Anton Johansson , Arunselvan Ramaswamy

Industrial Multivariate Time Series (MTS) is a critical view of the industrial field for people to understand the state of machines. However, due to data collection difficulty and privacy concerns, available data for building industrial…

Machine Learning · Computer Science 2024-10-23 Lei Ren , Haiteng Wang , Yuanjun Laili

Multivariate time series (MTS) data often include a heterogeneous mix of non-Gaussian distributional features (asymmetry, multimodality, heavy tails) and data types (continuous and discrete variables). Traditional MTS methods based on…

Methodology · Statistics 2025-02-25 John Zito , Daniel R. Kowal

In the burgeoning ecosystem of Internet of Things, multivariate time series (MTS) data has become ubiquitous, highlighting the fundamental role of time series forecasting across numerous applications. The crucial challenge of long-term MTS…

Machine Learning · Computer Science 2024-11-06 Zhenwei Zhang , Linghang Meng , Yuantao Gu