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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

We propose an efficient design of Transformer-based models for multivariate time series forecasting and self-supervised representation learning. It is based on two key components: (i) segmentation of time series into subseries-level patches…

Machine Learning · Computer Science 2023-03-07 Yuqi Nie , Nam H. Nguyen , Phanwadee Sinthong , Jayant Kalagnanam

Time series forecasting is essential for many practical applications, with the adoption of transformer-based models on the rise due to their impressive performance in NLP and CV. Transformers' key feature, the attention mechanism,…

Machine Learning · Computer Science 2024-02-09 PeiSong Niu , Tian Zhou , Xue Wang , Liang Sun , Rong Jin

Accurate Multivariate Time Series (MTS) forecasting is crucial for collaborative design of complex systems, Digital Twin building, and maintenance ahead of time. However, the collaborative industrial environment presents new challenges for…

Machine Learning · Computer Science 2025-12-02 Shaoxun Wang , Xingjun Zhang , Kun Xia , Qianyang Li , Jiawei Cao , Zhendong Tan

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

Time series forecasting, which aims to predict future values based on historical data, has garnered significant attention due to its broad range of applications. However, real-world time series often exhibit complex non-uniform distribution…

Machine Learning · Computer Science 2025-10-02 Yanru Sun , Zongxia Xie , Emadeldeen Eldele , Dongyue Chen , Qinghua Hu , Min Wu

Generating forecasts for time series with multiple seasonal cycles is an important use-case for many industries nowadays. Accounting for the multi-seasonal patterns becomes necessary to generate more accurate and meaningful forecasts in…

Applications · Statistics 2020-04-28 Kasun Bandara , Christoph Bergmeir , Hansika Hewamalage

Accurate forecasting of multivariate time series remains challenging due to the need to capture both short-term fluctuations and long-range temporal dependencies. Transformer-based models have emerged as a powerful approach, but their…

Machine Learning · Computer Science 2026-03-26 Aymane Harkati , Moncef Garouani , Olivier Teste , Julien Aligon , Mohamed Hamlich

Real-world time series often exhibit complex interdependencies that cannot be captured in isolation. Global models that model past data from multiple related time series globally while producing series-specific forecasts locally are now…

Machine Learning · Computer Science 2024-05-14 Abishek Sriramulu , Christoph Bergmeir , Slawek Smyl

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 performance of transformers for time-series forecasting has improved significantly. Recent architectures learn complex temporal patterns by segmenting a time-series into patches and using the patches as tokens. The patch size controls…

Machine Learning · Computer Science 2024-03-25 Yitian Zhang , Liheng Ma , Soumyasundar Pal , Yingxue Zhang , Mark Coates

Correlated time series analysis plays an important role in many real-world industries. Learning an efficient representation of this large-scale data for further downstream tasks is necessary but challenging. In this paper, we propose a…

Machine Learning · Computer Science 2023-06-21 Luxuan Wang , Lei Bai , Ziyue Li , Rui Zhao , Fugee Tsung

In this study, we present aLLM4TS, an innovative framework that adapts Large Language Models (LLMs) for time-series representation learning. Central to our approach is that we reconceive time-series forecasting as a self-supervised,…

Machine Learning · Computer Science 2024-03-12 Yuxuan Bian , Xuan Ju , Jiangtong Li , Zhijian Xu , Dawei Cheng , Qiang Xu

With the advent of Transformers, time series forecasting has seen significant advances, yet it remains challenging due to the need for effective sequence representation, memory construction, and accurate target projection. Time series…

Artificial Intelligence · Computer Science 2025-07-09 Robert Leppich , Michael Stenger , André Bauer , Samuel Kounev

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

The classification of time-series data is pivotal for streaming data and comes with many challenges. Although the amount of publicly available datasets increases rapidly, deep neural models are only exploited in a few areas. Traditional…

Machine Learning · Computer Science 2021-09-27 Dominique Mercier , Andreas Dengel , Sheraz Ahmed

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

How to handle time features shall be the core question of any time series forecasting model. Ironically, it is often ignored or misunderstood by deep-learning based models, even those baselines which are state-of-the-art. This behavior…

Machine Learning · Computer Science 2022-07-25 Li Shen , Yuning Wei , Yangzhu Wang

Ensembling is a powerful technique for improving the accuracy of machine learning models, with methods like stacking achieving strong results in tabular tasks. In time series forecasting, however, ensemble methods remain underutilized, with…

Machine Learning · Computer Science 2025-11-20 Nathanael Bosch , Oleksandr Shchur , Nick Erickson , Michael Bohlke-Schneider , Caner Türkmen

The majority of real-world processes are spatiotemporal, and the data generated by them exhibits both spatial and temporal evolution. Weather is one of the most essential processes in this domain, and weather forecasting has become a…

Machine Learning · Computer Science 2024-09-24 Shakir Showkat Sofi , Ivan Oseledets