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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

Although Transformers excel in natural language processing, their extension to time series forecasting remains challenging due to insufficient consideration of the differences between textual and temporal modalities. In this paper, we…

Machine Learning · Computer Science 2025-10-09 Zhipeng Liu , Peibo Duan , Xuan Tang , Baixin Li , Yongsheng Huang , Mingyang Geng , Changsheng Zhang , Bin Zhang , Binwu Wang

While numerous forecasters have been proposed using different network architectures, the Transformer-based models have state-of-the-art performance in time series forecasting. However, forecasters based on Transformers are still suffering…

Machine Learning · Computer Science 2024-11-06 Kun Yi , Jingru Fei , Qi Zhang , Hui He , Shufeng Hao , Defu Lian , Wei Fan

Financial markets are inherently volatile and prone to sudden disruptions such as market crashes, flash collapses, and liquidity crises. Accurate anomaly detection and early risk forecasting in financial time series are therefore crucial…

Machine Learning · Computer Science 2025-11-18 Ziling Fan , Ruijia Liang , Yiwen Hu

Forecasting multivariate time series data, such as prediction of electricity consumption, solar power production, and polyphonic piano pieces, has numerous valuable applications. However, complex and non-linear interdependencies between…

Machine Learning · Computer Science 2019-09-20 Shun-Yao Shih , Fan-Keng Sun , Hung-yi Lee

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

Accurate weather forecasting is crucial in various sectors, impacting decision-making processes and societal events. Data-driven approaches based on machine learning models have recently emerged as a promising alternative to numerical…

Machine Learning · Computer Science 2024-05-14 Zijie Li , Anthony Zhou , Saurabh Patil , Amir Barati Farimani

Forecasting non-stationary time series is a challenging task because their statistical properties often change over time, making it hard for deep models to generalize well. Instance-level normalization techniques can help address shifts in…

Machine Learning · Computer Science 2025-06-09 Junpeng Lin , Tian Lan , Bo Zhang , Ke Lin , Dandan Miao , Huiru He , Jiantao Ye , Chen Zhang , Yan-fu Li

Spatiotemporal forecasting of traffic flow data represents a typical problem in the field of machine learning, impacting urban traffic management systems. In general, spatiotemporal forecasting problems involve complex interactions,…

Machine Learning · Computer Science 2025-02-18 Yash Jakhmola , Madhurima Panja , Nitish Kumar Mishra , Kripabandhu Ghosh , Uttam Kumar , Tanujit Chakraborty

Transformers have achieved remarkable performance in multivariate time series(MTS) forecasting due to their capability to capture long-term dependencies. However, the canonical attention mechanism has two key limitations: (1) its quadratic…

Machine Learning · Computer Science 2024-07-17 Yifan Zhang , Rui Wu , Sergiu M. Dascalu , Frederick C. Harris

Time position embeddings capture the positional information of time steps, often serving as auxiliary inputs to enhance the predictive capabilities of time series models. However, existing models exhibit limitations in capturing intricate…

Machine Learning · Computer Science 2026-01-28 Xiaobao Song , Hao Wang , Liwei Deng , Yuxin He , Wenming Cao , Chi-Sing Leungc

Multivariate time series (MTS) forecasting has been extensively applied across diverse domains, such as weather prediction and energy consumption. However, current studies still rely on the vanilla point-wise self-attention mechanism to…

Machine Learning · Computer Science 2024-05-21 Yingnan Yang , Qingling Zhu , Jianyong Chen

Transformers have been actively studied for time-series forecasting in recent years. While often showing promising results in various scenarios, traditional Transformers are not designed to fully exploit the characteristics of time-series…

Machine Learning · Computer Science 2022-06-22 Gerald Woo , Chenghao Liu , Doyen Sahoo , Akshat Kumar , Steven Hoi

How to best develop foundational models for time series forecasting remains an important open question. Tokenization is a crucial consideration in this effort: what is an effective discrete vocabulary for a real-valued sequential input? To…

Time series forecasting is a key component in many industrial and business decision processes and recurrent neural network (RNN) based models have achieved impressive progress on various time series forecasting tasks. However, most of the…

Machine Learning · Computer Science 2021-01-26 Zekai Chen , Jiaze E , Xiao Zhang , Hao Sheng , Xiuzheng Cheng

Due to the inherent complexity, temporal patterns in real-world time series often evolve across multiple intertwined scales, including long-term periodicity, short-term fluctuations, and abrupt regime shifts. While existing literature has…

Machine Learning · Computer Science 2025-11-25 Yubo Wang , Hui He , Chaoxi Niu , Zhendong Niu

Multivariate time series forecasting focuses on predicting future values based on historical context. State-of-the-art sequence-to-sequence models rely on neural attention between timesteps, which allows for temporal learning but fails to…

Machine Learning · Computer Science 2023-03-21 Jake Grigsby , Zhe Wang , Nam Nguyen , Yanjun Qi

A variety of real-world applications rely on far future information to make decisions, thus calling for efficient and accurate long sequence multivariate time series forecasting. While recent attention-based forecasting models show strong…

Machine Learning · Computer Science 2022-05-02 Razvan-Gabriel Cirstea , Chenjuan Guo , Bin Yang , Tung Kieu , Xuanyi Dong , Shirui Pan

Multivariate time series forecasting tasks are usually conducted in a channel-dependent (CD) way since it can incorporate more variable-relevant information. However, it may also involve a lot of irrelevant variables, and this even leads to…

Machine Learning · Computer Science 2024-05-15 Qinshuo Liu , Yanwen Fang , Pengtao Jiang , Guodong Li

Unsupervised anomaly detection of multivariate time series is a challenging task, given the requirements of deriving a compact detection criterion without accessing the anomaly points. The existing methods are mainly based on reconstruction…

Machine Learning · Computer Science 2026-05-26 Qingxiang Liu , Xiaoliang Luo , Chenghao Liu , Sheng Sun , Di Yao , Lvchun Wang , Wei Yu , Yuxuan Liang