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Time series data, including univariate and multivariate ones, are characterized by unique composition and complex multi-scale temporal variations. They often require special consideration of decomposition and multi-scale modeling to…

Machine Learning · Computer Science 2024-03-26 Shuhan Zhong , Sizhe Song , Weipeng Zhuo , Guanyao Li , Yang Liu , S. -H. Gary Chan

Long-term time series forecasting (LTSF) is a critical task in computational intelligence. While Transformer-based models effectively capture long-range dependencies, they often suffer from quadratic complexity and overfitting due to data…

Machine Learning · Computer Science 2025-12-03 Li Qianyang , Zhang Xingjun , Wang Shaoxun , Wei Jia

Time series forecasting has long been a focus of research across diverse fields, including economics, energy, healthcare, and traffic management. Recent works have introduced innovative architectures for time series models, such as the…

Machine Learning · Computer Science 2025-03-28 Young-Chae Hong , Bei Xiao , Yangho Chen

Recent advances in deep learning have mainly relied on Transformers due to their data dependency and ability to learn at scale. The attention module in these architectures, however, exhibits quadratic time and space in input size, limiting…

Machine Learning · Computer Science 2024-07-25 Ali Behrouz , Michele Santacatterina , Ramin Zabih

Transformer-based architectures are the model of choice for natural language understanding, but they come at a significant cost, as they have quadratic complexity in the input length, require a lot of training data, and can be difficult to…

Computation and Language · Computer Science 2023-11-14 Florian Mai , Arnaud Pannatier , Fabio Fehr , Haolin Chen , Francois Marelli , Francois Fleuret , James Henderson

Multivariate time series data provide a robust framework for future predictions by leveraging information across multiple dimensions, ensuring broad applicability in practical scenarios. However, their high dimensionality and mixing…

Machine Learning · Computer Science 2024-11-28 Xuanbing Zhu , Dunbin Shen , Zhongwen Rao , Huiyi Ma , Yingguang Hao , Hongyu Wang

Multivariate time series forecasting has seen widely ranging applications in various domains, including finance, traffic, energy, and healthcare. To capture the sophisticated temporal patterns, plenty of research studies designed complex…

Machine Learning · Computer Science 2022-07-05 Tianping Zhang , Yizhuo Zhang , Wei Cao , Jiang Bian , Xiaohan Yi , Shun Zheng , Jian Li

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

Irregular multivariate time series forecasting (IMTSF) is challenging due to non-uniform sampling and variable asynchronicity. These irregularities violate the equidistant assumptions of standard models, hindering local temporal modeling…

Machine Learning · Computer Science 2026-02-03 Xiangfei Qiu , Kangjia Yan , Xvyuan Liu , Xingjian Wu , Jilin Hu

Recently, there has been a growing interest in Long-term Time Series Forecasting (LTSF), which involves predicting long-term future values by analyzing a large amount of historical time-series data to identify patterns and trends. There…

Machine Learning · Computer Science 2026-02-17 Aitian Ma , Dongsheng Luo , Mo Sha

Recent work shows that linear models can outperform several transformer models in long-term time-series forecasting (TSF). However, instead of explicitly performing temporal interaction through self-attention, linear models implicitly…

Machine Learning · Computer Science 2026-02-03 Xu Zhang , Qitong Wang , Peng Wang , Wei Wang

Patch-wise Transformer based time series forecasting achieves superior accuracy. However, this superiority relies heavily on intricate model design with massive parameters, rendering both training and inference expensive, thus preventing…

Machine Learning · Computer Science 2025-01-22 Meng Wang , Jintao Yang , Bin Yang , Hui Li , Tongxin Gong , Bo Yang , Jiangtao Cui

Multivariate time series forecasting plays a pivotal role in numerous real-world applications, including financial analysis, energy management, and traffic planning. While Transformer-based architectures have gained popularity for this…

Machine Learning · Computer Science 2026-05-01 Pourya Zamanvaziri , Amirhossein Sadr , Aida Pakniyat , Dara Rahmati

The field of time series forecasting is rapidly advancing, with recent large-scale Transformers and lightweight Multilayer Perceptron (MLP) models showing strong predictive performance. However, conventional Transformer models are often…

Machine Learning · Computer Science 2025-08-13 Zheng Zhou , Yu-Jie Xiong , Jia-Chen Zhang , Chun-Ming Xia , Xi-Jiong Xie

Multi-horizon forecasting problems often contain a complex mix of inputs -- including static (i.e. time-invariant) covariates, known future inputs, and other exogenous time series that are only observed historically -- without any prior…

Machine Learning · Statistics 2020-09-29 Bryan Lim , Sercan O. Arik , Nicolas Loeff , Tomas Pfister

Time series prediction plays a crucial role in various industrial fields. In recent years, neural networks with a transformer backbone have achieved remarkable success in many domains, including computer vision and NLP. In time series…

Machine Learning · Computer Science 2023-10-10 Qingkui Chen , Yiqin Zhang

Large pre-trained language models based on transformer architecture have drastically changed the natural language processing (NLP) landscape. However, deploying those models for on-device applications in constrained devices such as smart…

Computation and Language · Computer Science 2023-05-26 Francesco Fusco , Damian Pascual , Peter Staar , Diego Antognini

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

In the last few years, the success of Transformers in computer vision has stimulated the discovery of many alternative models that compete with Transformers, such as the MLP-Mixer. Despite their weak inductive bias, these models have…

Machine Learning · Computer Science 2024-04-02 Toshihiro Ota , Masato Taki

Time series forecasting is a crucial task in various domains. Caused by factors such as trends, seasonality, or irregular fluctuations, time series often exhibits non-stationary. It obstructs stable feature propagation through deep layers,…

Machine Learning · Computer Science 2024-01-05 Xiang Ma , Xuemei Li , Lexin Fang , Tianlong Zhao , Caiming Zhang