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Time series forecasting requires architectures that simultaneously achieve three competing objectives: (1) strict temporal causality for reliable predictions, (2) sub-quadratic complexity for practical scalability, and (3) multi-scale…

Machine Learning · Computer Science 2025-11-25 Qianru Zhang , Honggang Wen , Ming Li , Dong Huang , Siu-Ming Yiu , Christian S. Jensen , Pietro Liò

Long-term time-series forecasting (LTTF) has become a pressing demand in many applications, such as wind power supply planning. Transformer models have been adopted to deliver high prediction capacity because of the high computational…

Machine Learning · Computer Science 2023-01-06 Yan Li , Xinjiang Lu , Haoyi Xiong , Jian Tang , Jiantao Su , Bo Jin , Dejing Dou

Long-term weather forecasting is critical for socioeconomic planning and disaster preparedness. While recent approaches employ finetuning to extend prediction horizons, they remain constrained by the issues of catastrophic forgetting, error…

Computer Vision and Pattern Recognition · Computer Science 2026-05-12 Hao Chen , Tao Han , Jie Zhang , Song Guo , Fenghua Ling , Lei Bai

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

Conventionally, Earth system (e.g., weather and climate) forecasting relies on numerical simulation with complex physical models and are hence both expensive in computation and demanding on domain expertise. With the explosive growth of the…

Machine Learning · Computer Science 2023-03-02 Zhihan Gao , Xingjian Shi , Hao Wang , Yi Zhu , Yuyang Wang , Mu Li , Dit-Yan Yeung

Transformer-based models have shown strong performance in time-series forecasting by leveraging self-attention to model long-range temporal dependencies. However, their effectiveness depends critically on the quality and structure of input…

Machine Learning · Computer Science 2026-02-11 Saurish Nagrath , Saroj Kumar Panigrahy

Despite the widespread adoption of transformers in medical applications, the exploration of multi-scale learning through transformers remains limited, while hierarchical representations are considered advantageous for computer-aided medical…

Computer Vision and Pattern Recognition · Computer Science 2025-06-17 Xiaoya Tang , Bodong Zhang , Man Minh Ho , Beatrice S. Knudsen , Tolga Tasdizen

While transformers have shown great potential on video recognition with their strong capability of capturing long-range dependencies, they often suffer high computational costs induced by the self-attention to the huge number of 3D tokens.…

Computer Vision and Pattern Recognition · Computer Science 2022-11-23 Yuxuan Liang , Pan Zhou , Roger Zimmermann , Shuicheng Yan

Periodicity is a fundamental characteristic of time series data and has long played a central role in forecasting. Recent deep learning methods strengthen the exploitation of periodicity by treating patches as basic tokens, thereby…

Machine Learning · Computer Science 2025-10-07 Yiming Niu , Jinliang Deng , Yongxin Tong

Transformers for time series forecasting mainly model time series from limited or fixed scales, making it challenging to capture different characteristics spanning various scales. We propose Pathformer, a multi-scale Transformer with…

Machine Learning · Computer Science 2024-09-17 Peng Chen , Yingying Zhang , Yunyao Cheng , Yang Shu , Yihang Wang , Qingsong Wen , Bin Yang , Chenjuan Guo

Recurrent Neural Networks were, until recently, one of the best ways to capture the timely dependencies in sequences. However, with the introduction of the Transformer, it has been proven that an architecture with only attention-mechanisms…

Machine Learning · Computer Science 2021-08-19 Radostin Cholakov , Todor Kolev

Time series data is ubiquitous in research as well as in a wide variety of industrial applications. Effectively analyzing the available historical data and providing insights into the far future allows us to make effective decisions. Recent…

Machine Learning · Computer Science 2022-10-24 Kiran Madhusudhanan , Johannes Burchert , Nghia Duong-Trung , Stefan Born , Lars Schmidt-Thieme

Reliable uncertainty quantification is critical in multivariate time series forecasting problems arising in domains such as energy systems and transportation networks, among many others. Although Transformer-based architectures have…

Machine Learning · Computer Science 2026-03-13 Rajdeep Pathak , Rahul Goswami , Madhurima Panja , Palash Ghosh , Tanujit Chakraborty

Time series prediction is crucial for understanding and forecasting complex dynamics in various domains, ranging from finance and economics to climate and healthcare. Based on Transformer architecture, one approach involves encoding…

Machine Learning · Computer Science 2024-05-24 Xin Cheng , Xiuying Chen , Shuqi Li , Di Luo , Xun Wang , Dongyan Zhao , Rui Yan

Time series forecasting is a crucial challenge with significant applications in areas such as weather prediction, stock market analysis, and scientific simulations. This paper introduces an embedded decomposed transformer, 'EDformer', for…

Machine Learning · Computer Science 2024-12-18 Sanjay Chakraborty , Ibrahim Delibasoglu , Fredrik Heintz

In recent years, numerous Transformer-based models have been applied to long-term time-series forecasting (LTSF) tasks. However, recent studies with linear models have questioned their effectiveness, demonstrating that simple linear layers…

Machine Learning · Computer Science 2024-08-20 Jiaheng Yin , Zhengxin Shi , Jianshen Zhang , Xiaomin Lin , Yulin Huang , Yongzhi Qi , Wei Qi

Time-series forecasting plays an important role in many real-world scenarios, such as equipment life cycle forecasting, weather forecasting, and traffic flow forecasting. It can be observed from recent research that a variety of…

Machine Learning · Computer Science 2022-06-14 Benhan Li , Shengdong Du , Tianrui Li , Jie Hu , Zhen Jia

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

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 has various applications, such as meteorological rainfall prediction, traffic flow analysis, financial forecasting, and operational load monitoring for various systems. Due to the sparsity of time series data,…

Machine Learning · Computer Science 2025-10-01 Xiaojian Wang , Chaoli Zhang , Zhonglong Zheng , Yunliang Jiang