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Multivariate time series forecasting is crucial across various industries, where accurate extraction of complex periodic and trend components can significantly enhance prediction performance. However, existing models often struggle to…

Machine Learning · Computer Science 2025-05-08 Yulong Wang , Yushuo Liu , Xiaoyi Duan , Kai Wang

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

Accurate detection and diagnosis of abnormal behaviors such as network attacks from multivariate time series (MTS) are crucial for ensuring the stable and effective operation of industrial cyber-physical systems (CPS). However, existing…

Machine Learning · Computer Science 2024-03-06 Haili Sun , Yan Huang , Lansheng Han , Cai Fu , Chunjie Zhou

Time series data is one of the most popular data modalities in critical domains such as industry and medicine. The demand for algorithms that not only exhibit high accuracy but also offer interpretability is crucial in such fields, as…

Machine Learning · Computer Science 2025-11-05 Bartłomiej Małkus , Szymon Bobek , Grzegorz J. Nalepa

Irregularly sampled multivariate time series (ISMTS) are prevalent in reality. Due to their non-uniform intervals between successive observations and varying sampling rates among series, the channel-independent (CI) strategy, which has been…

Machine Learning · Computer Science 2024-12-18 Jiexi Liu , Meng Cao , Songcan Chen

The massive generation of time-series data by largescale Internet of Things (IoT) devices necessitates the exploration of more effective models for multivariate time-series forecasting. In previous models, there was a predominant use of the…

Machine Learning · Computer Science 2024-03-15 Wenyong Han , Tao Zhu Member , Liming Chen , Huansheng Ning , Yang Luo , Yaping Wan

Transformer-based time series forecasting has recently gained strong interest due to the ability of transformers to model sequential data. Most of the state-of-the-art architectures exploit either temporal or inter-channel dependencies,…

Machine Learning · Computer Science 2025-03-25 Davide Villaboni , Alberto Castellini , Ivan Luciano Danesi , Alessandro Farinelli

Multivariate forecasting with Transformers faces a core scalability challenge: modeling cross-channel dependencies via attention compounds attention's quadratic sequence complexity with quadratic channel scaling, making full cross-channel…

Machine Learning · Computer Science 2026-05-12 Willa Potosnak , Nina Żukowska , Michał Wiliński , Dan Howarth , Ignacy Stępka , Mononito Goswami , Artur Dubrawski

In multivariate time series forecasting (MTSF), accurately modeling the intricate dependencies among multiple variables remains a significant challenge due to the inherent limitations of traditional approaches. Most existing models adopt…

Machine Learning · Computer Science 2025-11-19 Yuchen Luo , Xinyu Li , Liuhua Peng , Mingming Gong

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

Recent advancements in foundation models have been successfully extended to the time series (TS) domain, facilitated by the emergence of large-scale TS datasets. However, previous efforts have primarily Capturing channel dependency (CD) is…

Machine Learning · Computer Science 2026-05-29 Seunghan Lee , Taeyoung Park , Kibok Lee

Nowadays, with the rising number of sensors in sectors such as healthcare and industry, the problem of multivariate time series classification (MTSC) is getting increasingly relevant and is a prime target for machine and deep learning…

Machine Learning · Computer Science 2022-04-12 Leonardos Pantiskas , Kees Verstoep , Mark Hoogendoorn , Henri Bal

Nowadays, the deployment of deep learning models on edge devices for addressing real-world classification problems is becoming more prevalent. Moreover, there is a growing popularity in the approach of early classification, a technique that…

Machine Learning · Computer Science 2023-06-27 Leonardos Pantiskas , Kees Verstoep , Mark Hoogendoorn , Henri Bal

Missing values are ubiquitous in multivariate time series (MTS) data, posing significant challenges for accurate analysis and downstream applications. In recent years, deep learning-based methods have successfully handled missing data by…

Machine Learning · Computer Science 2025-05-21 Jun Wang , Wenjie Du , Yiyuan Yang , Linglong Qian , Wei Cao , Keli Zhang , Wenjia Wang , Yuxuan Liang , Qingsong Wen

Modern applications frequently collect and analyze temporal data in the form of multivariate time series (MTS) -- time series that contain multiple channels. A common task in this context is subsequence search, which involves identifying…

Databases · Computer Science 2025-12-18 Jens E. d'Hondt , Teun Kortekaas , Odysseas Papapetrou , Themis Palpanas

Saliency methods are used extensively to highlight the importance of input features in model predictions. These methods are mostly used in vision and language tasks, and their applications to time series data is relatively unexplored. In…

Machine Learning · Computer Science 2020-10-28 Aya Abdelsalam Ismail , Mohamed Gunady , Héctor Corrada Bravo , Soheil Feizi

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

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

Long-term Time Series Forecasting (LTSF) is critical for numerous real-world applications, such as electricity consumption planning, financial forecasting, and disease propagation analysis. LTSF requires capturing long-range dependencies…

Machine Learning · Computer Science 2024-10-04 Aitian Ma , Dongsheng Luo , Mo Sha

Good models require good training data. For overparameterized deep models, the causal relationship between training data and model predictions is increasingly opaque and poorly understood. Influence analysis partially demystifies training's…

Machine Learning · Computer Science 2024-04-02 Zayd Hammoudeh , Daniel Lowd
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