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Transformers are increasingly adopted for modeling and forecasting time-series, yet their internal mechanisms remain poorly understood from a dynamical systems perspective. In contrast to classical autoregressive and state-space models,…

Machine Learning · Computer Science 2025-12-25 Gregory Duthé , Nikolaos Evangelou , Wei Liu , Ioannis G. Kevrekidis , Eleni Chatzi

Recent advancements in long-term time series forecasting (LTSF) have primarily focused on capturing cross-time and cross-variate (channel) dependencies within historical data. However, a critical aspect often overlooked by many existing…

Machine Learning · Computer Science 2024-12-03 Chaolv Zeng , Yuan Tian , Guanjie Zheng , Yunjun Gao

Time series forecasting requires capturing patterns across multiple temporal scales while maintaining computational efficiency. This paper introduces AWGformer, a novel architecture that integrates adaptive wavelet decomposition with…

Machine Learning · Computer Science 2026-01-29 Wei Li

Endowing visual agents with predictive capability is a key step towards video intelligence at scale. The predominant modeling paradigm for this is sequence learning, mostly implemented through LSTMs. Feed-forward Transformer architectures…

Computer Vision and Pattern Recognition · Computer Science 2021-09-22 Tsung-Ming Tai , Giuseppe Fiameni , Cheng-Kuang Lee , Oswald Lanz

Time series forecasting is crucial for many fields, such as disaster warning, weather prediction, and energy consumption. The Transformer-based models are considered to have revolutionized the field of sequence modeling. However, the…

Machine Learning · Computer Science 2022-11-01 Junlong Tong , Liping Xie , Wankou Yang , Kanjian Zhang

Standard attention mechanisms in transformers employ static token representations that remain unchanged across all pair-wise computations in each layer. This limits their representational alignment with the potentially diverse relational…

Machine Learning · Computer Science 2026-05-26 Hunjae Lee , Corey Clark

Standard inference and training with transformer based architectures scale quadratically with input sequence length. This is prohibitively large for a variety of applications especially in web-page translation, query-answering etc.…

Computation and Language · Computer Science 2023-03-20 Lovish Madaan , Srinadh Bhojanapalli , Himanshu Jain , Prateek Jain

Accurate and reliable energy time series prediction is of great significance for power generation planning and allocation. At present, deep learning time series prediction has become the mainstream method. However, the multi-scale time…

Machine Learning · Computer Science 2025-08-08 Wei Li , Zixin Wang , Qizheng Sun , Qixiang Gao , Fenglei Yang

Multivariate time series prediction has applications in a wide variety of domains and is considered to be a very challenging task, especially when the variables have correlations and exhibit complex temporal patterns, such as seasonality…

Machine Learning · Computer Science 2020-01-07 Yuya Jeremy Ong , Mu Qiao , Divyesh Jadav

Unpaired medical image synthesis aims to provide complementary information for an accurate clinical diagnostics, and address challenges in obtaining aligned multi-modal medical scans. Transformer-based models excel in imaging translation…

Computer Vision and Pattern Recognition · Computer Science 2024-08-29 Vu Minh Hieu Phan , Yutong Xie , Bowen Zhang , Yuankai Qi , Zhibin Liao , Antonios Perperidis , Son Lam Phung , Johan W. Verjans , Minh-Son To

Remaining useful life prediction (RUL) is one of the key technologies of condition-based maintenance, which is important to maintain the reliability and safety of industrial equipments. Massive industrial measurement data has effectively…

Signal Processing · Electrical Eng. & Systems 2022-04-21 Zhizheng Zhang , Wen Song , Qiqiang Li

Recurrent neural networks are effective models to process sequences. However, they are unable to learn long-term dependencies because of their inherent sequential nature. As a solution, Vaswani et al. introduced the Transformer, a model…

Machine Learning · Computer Science 2023-03-28 Quentin Fournier , Gaétan Marceau Caron , Daniel Aloise

One limitation of existing Transformer-based models is that they cannot handle very long sequences as input since their self-attention operations exhibit quadratic time and space complexity. This problem becomes especially acute when…

Machine Learning · Computer Science 2024-05-07 Yuzhen Mao , Martin Ester , Ke Li

The analysis of long sequence data remains challenging in many real-world applications. We propose a novel architecture, ChunkFormer, that improves the existing Transformer framework to handle the challenges while dealing with long time…

Machine Learning · Computer Science 2022-01-03 Yue Ju , Alka Isac , Yimin Nie

Regression problems with time-series predictors are common in banking and many other areas of application. In this paper, we use multi-head attention networks to develop interpretable features and use them to achieve good predictive…

Machine Learning · Computer Science 2022-05-26 Tianjie Wang , Jie Chen , Joel Vaughan , Vijayan N. Nair

Modern datasets are increasingly high-dimensional and multiway, often represented as tensor-valued data with multi-indexed variables. While Transformers excel in sequence modeling and high-dimensional tasks, their direct application to…

Machine Learning · Computer Science 2025-11-19 Soroush Omranpour , Guillaume Rabusseau , Reihaneh Rabbany

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

In the real world, long sequence time-series forecasting (LSTF) is needed in many cases, such as power consumption prediction and air quality prediction.Multi-dimensional long time series model has more strict requirements on the model,…

Machine Learning · Computer Science 2022-05-11 Ning Wang

In the domain of multivariate time series analysis, the concept of channel independence has been increasingly adopted, demonstrating excellent performance due to its ability to eliminate noise and the influence of irrelevant variables.…

Machine Learning · Computer Science 2024-12-18 Haoxin Wang , Yipeng Mo , Kunlan Xiang , Nan Yin , Honghe Dai , Bixiong Li , Songhai Fan , Site Mo

We propose Mixed-Panels-Transformer Encoder (MPTE), a novel framework for estimating factor models in panel datasets with mixed frequencies and nonlinear signals. Traditional factor models rely on linear signal extraction and require…

Econometrics · Economics 2026-01-26 Alessio Brini , Ekaterina Seregina