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Time series forecasting is widely used in the fields of equipment life cycle forecasting, weather forecasting, traffic flow forecasting, and other fields. Recently, some scholars have tried to apply Transformer to time series forecasting…

Machine Learning · Computer Science 2022-02-24 Benhan Li , Shengdong Du , Tianrui Li

Time series forecasting remains a critical challenge across various domains, often complicated by high-dimensional data and long-term dependencies. This paper presents a novel transformer architecture for time series forecasting,…

Machine Learning · Computer Science 2025-02-12 Yanlong Wang , Jian Xu , Fei Ma , Shao-Lun Huang , Danny Dongning Sun , Xiao-Ping Zhang

Mamba, a selective state-space model (SSM), has emerged as an efficient alternative to Transformers for speech modeling, enabling long-sequence processing with linear complexity. While effective in speech separation, existing approaches,…

Sound · Computer Science 2026-01-26 Ke Xue , Chang Sun , Rongfei Fan , Jing Wang , Han Hu

Deep models for Multivariate Time Series (MTS) forecasting have recently demonstrated significant success. Channel-dependent models capture complex dependencies that channel-independent models cannot capture. However, the number of channels…

Machine Learning · Computer Science 2024-08-09 Xin Zhou , Weiqing Wang , Wray Buntine , Shilin Qu , Abishek Sriramulu , Weicong Tan , Christoph Bergmeir

Transformer-based models have achieved remarkable success in multivariate time series forecasting (MTSF) by capturing long-range dependencies. However, their widespread adoption is hindered by the quadratic computational complexity of…

Machine Learning · Computer Science 2026-05-12 Fanpu Cao , Shu Yang , Zhengjian Chen , Ye Liu , Laizhong Cui

In the burgeoning ecosystem of Internet of Things, multivariate time series (MTS) data has become ubiquitous, highlighting the fundamental role of time series forecasting across numerous applications. The crucial challenge of long-term MTS…

Machine Learning · Computer Science 2024-11-06 Zhenwei Zhang , Linghang Meng , Yuantao Gu

In scene text detection, Transformer-based methods have addressed the global feature extraction limitations inherent in traditional convolution neural network-based methods. However, most directly rely on native Transformer attention layers…

Computer Vision and Pattern Recognition · Computer Science 2025-12-09 Qiyan Zhao , Yue Yan , Da-Han Wang

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

We explore the promising performance of a transformer model in predicting outputs of parametric dynamical systems with external time-varying input signals. The outputs of such systems vary not only with physical parameters but also with…

Machine Learning · Computer Science 2025-05-02 Shuwen Sun , Lihong Feng , Peter Benner

While linear-complexity attention mechanisms offer a promising alternative to Softmax attention for overcoming the quadratic bottleneck, training such models from scratch remains prohibitively expensive. Inheriting weights from pretrained…

Computer Vision and Pattern Recognition · Computer Science 2026-05-29 Yining Li , Dongchen Han , Zeyu Liu , Hanyi Wang , Yulin Wang , Gao Huang

We propose a variational quantum implementation of self-attention (QSA), the core operation in transformers and large language models, which predicts future elements of a sequence by forming overlap-weighted combinations of past data. At…

Quantum Physics · Physics 2026-02-09 Alessio Pecilli , Matteo Rosati

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

We present a novel bi-directional Transformer architecture (BiXT) which scales linearly with input size in terms of computational cost and memory consumption, but does not suffer the drop in performance or limitation to only one input…

Computer Vision and Pattern Recognition · Computer Science 2024-11-01 Markus Hiller , Krista A. Ehinger , Tom Drummond

For multivariate time series (MTS) tasks, previous state space models (SSMs) followed the modeling paradigm of Transformer-based methods. However, none of them explicitly model the complex dependencies of MTS: the Channel Dependency…

Machine Learning · Computer Science 2024-10-02 Haixiang Wu

Multi-task dense scene understanding, which trains a model for multiple dense prediction tasks, has a wide range of application scenarios. Capturing long-range dependency and enhancing cross-task interactions are crucial to multi-task dense…

Computer Vision and Pattern Recognition · Computer Science 2025-07-29 Baijiong Lin , Weisen Jiang , Pengguang Chen , Shu Liu , Ying-Cong Chen

Recently, Transformer networks have demonstrated outstanding performance in the field of image restoration due to the global receptive field and adaptability to input. However, the quadratic computational complexity of Softmax-attention…

Computer Vision and Pattern Recognition · Computer Science 2025-04-15 Zhi Jin , Yuwei Qiu , Kaihao Zhang , Hongdong Li , Wenhan Luo

Time series with long-term structure arise in a variety of contexts and capturing this temporal structure is a critical challenge in time series analysis for both inference and forecasting settings. Traditionally, state space models have…

Machine Learning · Statistics 2020-06-12 Anna K. Yanchenko , Sayan Mukherjee

To safely and rationally participate in dense and heterogeneous traffic, autonomous vehicles require to sufficiently analyze the motion patterns of surrounding traffic-agents and accurately predict their future trajectories. This is…

Computer Vision and Pattern Recognition · Computer Science 2022-06-23 Weihuang Chen , Fangfang Wang , Hongbin Sun

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

Transformers have become dominant in large-scale deep learning tasks across various domains, including text, 2D and 3D vision. However, the quadratic complexity of their attention mechanism limits their efficiency as the sequence length…

Computer Vision and Pattern Recognition · Computer Science 2024-11-04 Nursena Köprücü , Destiny Okpekpe , Antonio Orvieto