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The paper develops a Transformer architecture for estimating dynamic factors from multivariate time series data under flexible identification assumptions. Performance on small datasets is improved substantially by using a conventional…

Econometrics · Economics 2026-01-21 Oliver Snellman

The recent boom of linear forecasting models questions the ongoing passion for architectural modifications of Transformer-based forecasters. These forecasters leverage Transformers to model the global dependencies over temporal tokens of…

Machine Learning · Computer Science 2024-03-15 Yong Liu , Tengge Hu , Haoran Zhang , Haixu Wu , Shiyu Wang , Lintao Ma , Mingsheng Long

Attention is a core component of transformer architecture, whether encoder-only, decoder-only, or encoder-decoder model. However, the standard softmax attention often produces noisy probability distribution, which can impair effective…

Computation and Language · Computer Science 2025-11-11 Dhananjay Ram , Wei Xia , Stefano Soatto

Origin-Destination (OD) matrices record directional flow data between pairs of OD regions. The intricate spatiotemporal dependency in the matrices makes the OD matrix forecasting (ODMF) problem not only intractable but also non-trivial.…

Artificial Intelligence · Computer Science 2022-08-18 Jin Huang , Bosong Huang , Weihao Yu , Jing Xiao , Ruzhong Xie , Ke Ruan

Since its introduction, the transformer has shifted the development trajectory away from traditional models (e.g., RNN, MLP) in time series forecasting, which is attributed to its ability to capture global dependencies within temporal…

Machine Learning · Computer Science 2025-01-07 Xiwen Chen , Peijie Qiu , Wenhui Zhu , Huayu Li , Hao Wang , Aristeidis Sotiras , Yalin Wang , Abolfazl Razi

Dynamic graph learning plays a pivotal role in modeling evolving relationships over time, especially for temporal link prediction tasks in domains such as traffic systems, social networks, and recommendation platforms. While…

Machine Learning · Computer Science 2025-11-18 Tao Zou , Chengfeng Wu , Tianxi Liao , Junchen Ye , Bowen Du

Passenger demand forecasting helps optimize vehicle scheduling, thereby improving urban efficiency. Recently, attention-based methods have been used to adequately capture the dynamic nature of spatio-temporal data. However, existing methods…

Artificial Intelligence · Computer Science 2025-06-06 Haichen Wang , Liu Yang , Xinyuan Zhang , Haomin Yu , Ming Li , Jilin 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

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

Transformers based on the attention mechanism have achieved impressive success in various areas. However, the attention mechanism has a quadratic complexity, significantly impeding Transformers from dealing with numerous tokens and scaling…

Machine Learning · Computer Science 2022-06-17 Haixu Wu , Jialong Wu , Jiehui Xu , Jianmin Wang , Mingsheng Long

Short-term precipitation forecasting remains challenging due to the difficulty in capturing long-term spatiotemporal dependencies. Current deep learning methods fall short in establishing effective dependencies between conditions and…

Machine Learning · Computer Science 2024-10-18 ChaoRong Li , XuDong Ling , YiLan Xue , Wenjie Luo , LiHong Zhu , FengQing Qin , Yaodong Zhou , Yuanyuan Huang

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

Transformer is a ubiquitous model for natural language processing and has attracted wide attentions in computer vision. The attention maps are indispensable for a transformer model to encode the dependencies among input tokens. However,…

Machine Learning · Computer Science 2021-02-26 Yujing Wang , Yaming Yang , Jiangang Bai , Mingliang Zhang , Jing Bai , Jing Yu , Ce Zhang , Gao Huang , Yunhai Tong

Transformer-based methods have shown great potential in long-term time series forecasting. However, most of these methods adopt the standard point-wise self-attention mechanism, which not only becomes intractable for long-term forecasting…

Machine Learning · Computer Science 2022-02-24 Dazhao Du , Bing Su , Zhewei Wei

Predicting multivariate time series is crucial, demanding precise modeling of intricate patterns, including inter-series dependencies and intra-series variations. Distinctive trend characteristics in each time series pose challenges, and…

Machine Learning · Computer Science 2024-07-08 Guoqi Yu , Jing Zou , Xiaowei Hu , Angelica I. Aviles-Rivero , Jing Qin , Shujun Wang

Transformers have shown dominant performance across a range of domains including language and vision. However, their computational cost grows quadratically with the sequence length, making their usage prohibitive for resource-constrained…

Computation and Language · Computer Science 2023-10-24 Yinghan Long , Sayeed Shafayet Chowdhury , Kaushik Roy

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

Transformer-based models are at the forefront in long time-series forecasting (LTSF). While in many cases, these models are able to achieve state of the art results, they suffer from a bias toward low-frequencies in the data and high…

Machine Learning · Computer Science 2026-05-13 Elisha Dayag , Nhat Thanh Van Tran , Jack Xin

Recognizing human actions from untrimmed videos is an important task in activity understanding, and poses unique challenges in modeling long-range temporal relations. Recent works adopt a predict-and-refine strategy which converts an…

Computer Vision and Pattern Recognition · Computer Science 2023-02-28 Zhichao Liu , Leshan Wang , Desen Zhou , Jian Wang , Songyang Zhang , Yang Bai , Errui Ding , Rui Fan

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