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Long-term time series forecasting is a long-standing challenge in various applications. A central issue in time series forecasting is that methods should expressively capture long-term dependency. Furthermore, time series forecasting…

Machine Learning · Computer Science 2024-11-06 Xingyu Zhang , Siyu Zhao , Zeen Song , Huijie Guo , Jianqi Zhang , Changwen Zheng , Wenwen Qiang

The Transformer model has shown leading performance in time series forecasting. Nevertheless, in some complex scenarios, it tends to learn low-frequency features in the data and overlook high-frequency features, showing a frequency bias.…

Machine Learning · Computer Science 2024-07-04 Xihao Piao , Zheng Chen , Taichi Murayama , Yasuko Matsubara , Yasushi Sakurai

Many real-world time series exhibit strong periodic structures arising from physical laws, human routines, or seasonal cycles. However, modern deep forecasting models often fail to capture these recurring patterns due to spectral bias and a…

Machine Learning · Computer Science 2025-08-05 Menglin Kong , Vincent Zhihao Zheng , Lijun Sun

Time series forecasting drives operational decisions in areas like finance, transportation, and energy. While supervised learning approaches achieve strong performance, they require domain-specific training, feature engineering, and ongoing…

Machine Learning · Computer Science 2026-05-26 Kavin Soni , Debanshu Das , Vamshi Guduguntla

Forecasting future outcomes from recent time series data is not easy, especially when the future data are different from the past (i.e. time series are under temporal drifts). Existing approaches show limited performances under data drifts,…

Machine Learning · Computer Science 2022-11-23 Jaehoon Lee , Chan Kim , Gyumin Lee , Haksoo Lim , Jeongwhan Choi , Kookjin Lee , Dongeun Lee , Sanghyun Hong , Noseong Park

The integration of Fourier transform and deep learning opens new avenues for time series forecasting. We reconsider the Fourier transform from a basis functions perspective. Specifically, the real and imaginary parts of the frequency…

Machine Learning · Computer Science 2025-08-05 Runze Yang , Longbing Cao , Xin You , Kun Fang , Jianxun Li , Jie Yang

Transformer-based models have made significant progress in time series forecasting. However, a key limitation of deep learning models is their susceptibility to adversarial attacks, which has not been studied enough in the context of time…

Machine Learning · Computer Science 2025-08-13 Naifu Feng , Lixing Chen , Junhua Tang , Hua Ding , Jianhua Li , Yang Bai

Producing probabilistic forecasts for large collections of similar and/or dependent time series is a practically relevant and challenging task. Classical time series models fail to capture complex patterns in the data, and multivariate…

Machine Learning · Statistics 2019-05-30 Yuyang Wang , Alex Smola , Danielle C. Maddix , Jan Gasthaus , Dean Foster , Tim Januschowski

The dynamics of power grids are governed by a large number of nonlinear differential and algebraic equations (DAEs). To safely operate the system, operators need to check that the states described by these DAEs stay within prescribed limits…

Systems and Control · Electrical Eng. & Systems 2023-02-01 Wenqi Cui , Weiwei Yang , Baosen Zhang

Transformer-based models, despite their promise for long-term time series forecasting (LTSF), suffer from an inherent low-pass filtering effect that limits their effectiveness. This issue arises due to undifferentiated propagation of…

Machine Learning · Computer Science 2026-01-23 Jingjing Bai , Yoshinobu Kawahara

Current approaches for time series forecasting, whether in the time or frequency domain, predominantly use deep learning models based on linear layers or transformers. They often encode time series data in a black-box manner and rely on…

Machine Learning · Computer Science 2025-10-14 Cheng He , Xijie Liang , Zengrong Zheng , Patrick P. C. Lee , Xu Huang , Zhaoyi Li , Hong Xie , Defu Lian , Enhong Chen

Meta-forecasting is a newly emerging field which combines meta-learning and time series forecasting. The goal of meta-forecasting is to train over a collection of source time series and generalize to new time series one-at-a-time. Previous…

Machine Learning · Computer Science 2023-02-07 Mike Van Ness , Huibin Shen , Hao Wang , Xiaoyong Jin , Danielle C. Maddix , Karthick Gopalswamy

Time series forecasting is essential in a wide range of real world applications. Recently, frequency-domain methods have attracted increasing interest for their ability to capture global dependencies. However, when applied to non-stationary…

Machine Learning · Statistics 2026-02-09 Zhongde An , Jinhong You , Jiyanglin Li , Yiming Tang , Wen Li , Heming Du , Shouguo Du

This paper presents non-parametric baseline models for time series forecasting. Unlike classical forecasting models, the proposed approach does not assume any parametric form for the predictive distribution and instead generates predictions…

The Transformer is a highly successful deep learning model that has revolutionised the world of artificial neural networks, first in natural language processing and later in computer vision. This model is based on the attention mechanism…

Machine Learning · Computer Science 2023-05-09 Riccardo Ughi , Eugenio Lomurno , Matteo Matteucci

In order to enhance the performance of Transformer models for long-term multivariate forecasting while minimizing computational demands, this paper introduces the Joint Time-Frequency Domain Transformer (JTFT). JTFT combines time and…

Machine Learning · Computer Science 2023-10-31 Yushu Chen , Shengzhuo Liu , Jinzhe Yang , Hao Jing , Wenlai Zhao , Guangwen Yang

Time-series forecasting is crucial for numerous real-world applications including weather prediction and financial market modeling. While temporal-domain methods remain prevalent, frequency-domain approaches can effectively capture…

Machine Learning · Computer Science 2025-08-05 Zhixuan Li , Naipeng Chen , Seonghwa Choi , Sanghoon Lee , Weisi Lin

Long-term time series forecasting is a vital task and has a wide range of real applications. Recent methods focus on capturing the underlying patterns from one single domain (e.g. the time domain or the frequency domain), and have not taken…

Machine Learning · Computer Science 2023-08-28 Yuxiao Luo , Ziyu Lyu , Xingyu Huang

Conventional time-series forecasting methods typically aim to minimize overall prediction error, without accounting for the varying importance of different forecast ranges in downstream applications. We propose a training methodology that…

Machine Learning · Computer Science 2025-08-15 Luca-Andrei Fechete , Mohamed Sana , Fadhel Ayed , Nicola Piovesan , Wenjie Li , Antonio De Domenico , Tareq Si Salem

With the growing availability of multi-domain time series data, there is an increasing demand for general forecasting models pre-trained on multi-source datasets to support diverse downstream prediction scenarios. Existing time series…

Machine Learning · Computer Science 2025-09-09 Yihang Wang , Yuying Qiu , Peng Chen , Kai Zhao , Yang Shu , Zhongwen Rao , Lujia Pan , Bin Yang , Chenjuan Guo
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