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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

Deep learning is playing an increasingly important role in time series analysis. We focused on time series forecasting using attention free mechanism, a more efficient framework, and proposed a new architecture for time series prediction…

Machine Learning · Computer Science 2022-09-21 Hugo Inzirillo , Ludovic De Villelongue

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

Transformers have achieved success in both language and vision domains. However, it is prohibitively expensive to scale them to long sequences such as long documents or high-resolution images, because self-attention mechanism has quadratic…

Computer Vision and Pattern Recognition · Computer Science 2021-12-08 Chen Zhu , Wei Ping , Chaowei Xiao , Mohammad Shoeybi , Tom Goldstein , Anima Anandkumar , Bryan Catanzaro

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

Transformer models have redefined sequence learning, yet dot-product self-attention introduces a quadratic token-mixing bottleneck for long-context time-series. We introduce the \textbf{Phasor Transformer} block, a phase-native alternative…

Machine Learning · Computer Science 2026-03-19 Dibakar Sigdel

High-dimensional longitudinal time series data is prevalent across various real-world applications. Many such applications can be modeled as regression problems with high-dimensional time series covariates. Deep learning has been a popular…

Machine Learning · Statistics 2024-04-09 Wenxuan Zuo , Zifan Zhu , Yuxuan Du , Yi-Chun Yeh , Jed A. Fuhrman , Jinchi Lv , Yingying Fan , Fengzhu Sun

Dynamic link prediction plays a crucial role in diverse applications including social network analysis, communication forecasting, and financial modeling. While recent Transformer-based approaches have demonstrated promising results in…

Machine Learning · Computer Science 2026-03-05 Hantong Feng , Yonggang Wu , Duxin Chen , Wenwu Yu

This paper reveals that we can interpret the fundamental function of Randomized Time Warping (RTW) as a type of self-attention mechanism, a core technology of Transformers in motion recognition. The self-attention is a mechanism that…

Computer Vision and Pattern Recognition · Computer Science 2025-08-25 Yutaro Hiraoka , Kazuya Okamura , Kota Suto , Kazuhiro Fukui

Transformers have become the leading choice in natural language processing over other deep learning architectures. This trend has also permeated the field of time series analysis, especially for long-horizon forecasting, showcasing…

Machine Learning · Computer Science 2025-07-30 Ignacio Aguilera-Martos , Andrés Herrera-Poyatos , Julián Luengo , Francisco Herrera

As Large Language Models (LLMs) scale to support context windows exceeding one million tokens, the linear growth of Key-Value (KV) cache imposes severe memory capacity and bandwidth bottlenecks, constraining the efficiency of long-context…

Computation and Language · Computer Science 2026-04-09 Zhirui Chen , Peiyang Liu , Ling Shao

Transformer-based models have recently become dominant in Long-term Time Series Forecasting (LTSF), yet the variations in their architecture, such as encoder-only, encoder-decoder, and decoder-only designs, raise a crucial question: What…

Machine Learning · Computer Science 2025-07-18 Lefei Shen , Mouxiang Chen , Han Fu , Xiaoxue Ren , Xiaoyun Joy Wang , Jianling Sun , Zhuo Li , Chenghao Liu

Transformers have shown great power in time series forecasting due to their global-range modeling ability. However, their performance can degenerate terribly on non-stationary real-world data in which the joint distribution changes over…

Machine Learning · Computer Science 2023-11-27 Yong Liu , Haixu Wu , Jianmin Wang , Mingsheng Long

As the length of input text increases, the key-value (KV) cache in LLMs imposes prohibitive GPU memory costs and limits long-context inference on resource constrained devices. Existing approaches, such as KV quantization and pruning, reduce…

Machine Learning · Computer Science 2025-12-24 Tenghui Li , Guoxu Zhou , Xuyang Zhao , Yuning Qiu , Qibin Zhao

Transformers have emerged as the architecture of choice for many state-of-the-art AI models, showcasing exceptional performance across a wide range of AI applications. However, the memory demands imposed by Transformers limit their ability…

Computation and Language · Computer Science 2023-11-28 Hao Liu , Matei Zaharia , Pieter Abbeel

Sufficiently modeling the correlations among variables (aka channels) is crucial for achieving accurate multivariate time series forecasting (MTSF). In this paper, we propose a novel technique called Temporal Query (TQ) to more effectively…

Machine Learning · Computer Science 2025-09-12 Shengsheng Lin , Haojun Chen , Haijie Wu , Chunyun Qiu , Weiwei Lin

Recently, there has been a surge of Transformer-based solutions for the long-term time series forecasting (LTSF) task. Despite the growing performance over the past few years, we question the validity of this line of research in this work.…

Artificial Intelligence · Computer Science 2022-08-18 Ailing Zeng , Muxi Chen , Lei Zhang , Qiang Xu

Multivariate time series forecasting is crucial across various industries, where accurate extraction of complex periodic and trend components can significantly enhance prediction performance. However, existing models often struggle to…

Machine Learning · Computer Science 2025-05-08 Yulong Wang , Yushuo Liu , Xiaoyi Duan , Kai Wang

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

Transformer architectures are now central to sequence modeling tasks. At its heart is the attention mechanism, which enables effective modeling of long-term dependencies in a sequence. Recently, transformers have been successfully applied…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Lin Zheng , Huijie Pan , Lingpeng Kong
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