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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

Koopman spectral analysis has attracted attention for nonlinear dynamical systems since we can analyze nonlinear dynamics with a linear regime by embedding data into a Koopman space by a nonlinear function. For the analysis, we need to find…

Machine Learning · Statistics 2021-02-10 Tomoharu Iwata , Yoshinobu Kawahara

The complex world around us is inherently multimodal and sequential (continuous). Information is scattered across different modalities and requires multiple continuous sensors to be captured. As machine learning leaps towards better…

Machine Learning · Computer Science 2019-11-25 Amir Zadeh , Chengfeng Mao , Kelly Shi , Yiwei Zhang , Paul Pu Liang , Soujanya Poria , Louis-Philippe Morency

Traffic forecasting is essential for the traffic construction of smart cities in the new era. However, traffic data's complex spatial and temporal dependencies make traffic forecasting extremely challenging. Most existing traffic…

Machine Learning · Computer Science 2022-10-03 Wei Zhao , Shiqi Zhang , Bing Zhou , Bei Wang

Benefiting from the capability of building inter-dependencies among channels or spatial locations, attention mechanisms have been extensively studied and broadly used in a variety of computer vision tasks recently. In this paper, we…

Computer Vision and Pattern Recognition · Computer Science 2020-11-09 Diganta Misra , Trikay Nalamada , Ajay Uppili Arasanipalai , Qibin Hou

Multivariate time series (MTS) forecasting has attracted much attention in many intelligent applications. It is not a trivial task, as we need to consider both intra-variable dependencies and inter-variable dependencies. However, existing…

Machine Learning · Computer Science 2021-12-15 Donghui Chen , Ling Chen , Zongjiang Shang , Youdong Zhang , Bo Wen , Chenghu Yang

Recency bias is a useful inductive prior for sequential modeling: it emphasizes nearby observations and can still allow longer-range dependencies. Standard Transformer attention lacks this property, relying on all-to-all interactions that…

Machine Learning · Computer Science 2026-04-23 Kareem Hegazy , Michael W. Mahoney , N. Benjamin Erichson

Over the past few decades, the hydrology community has witnessed notable advancements in streamflow prediction, particularly with the introduction of cutting-edge machine-learning algorithms. Recurrent neural networks, especially Long…

Machine Learning · Computer Science 2023-05-23 Sinan Rasiya Koya , Tirthankar Roy

Accommodating long sequences efficiently in autoregressive Transformers, especially within an extended context window, poses significant challenges due to the quadratic computational complexity and substantial KV memory requirements…

Computation and Language · Computer Science 2024-06-25 Chao Lou , Zixia Jia , Zilong Zheng , Kewei Tu

Scaling Transformers to ultra-long contexts is bottlenecked by the $O(n^2 d)$ cost of self-attention. Existing methods reduce this cost along the sequence axis through local windows, kernel approximations, or token-level sparsity, but these…

Machine Learning · Computer Science 2026-03-31 Yan Xie , Tiansheng Wen , Tangda Huang , Bo Chen , Chenyu You , Stefanie Jegelka , Yifei Wang

The scope of data-driven fault diagnosis models is greatly extended through deep learning (DL). However, the classical convolution and recurrent structure have their defects in computational efficiency and feature representation, while the…

Artificial Intelligence · Computer Science 2021-12-07 Yifei Ding , Minping Jia , Qiuhua Miao , Yudong Cao

Long-sequence video diffusion transformers hit a quadratic self-attention cost that dominates runtime and memory for very long token sequences. Most efficient attention methods use one approximation everywhere, yet video features are…

Computer Vision and Pattern Recognition · Computer Science 2026-04-28 Haopeng Jin

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

Time Series Forecasting plays a crucial role in various fields such as industrial equipment maintenance, meteorology, energy consumption, traffic flow and financial investment. However, despite their considerable advantages over traditional…

Machine Learning · Computer Science 2024-07-02 Ruiqi Li , Maowei Jiang , Kai Wang , Kaiduo Feng , Quangao Liu , Yue Sun , Xiufang Zhou

Multivariate Time Series Forecasting (MTSF) has long been a key research focus. Traditionally, these studies assume a fixed number of variables, but in real-world applications, Cyber-Physical Systems often expand as new sensors are…

Machine Learning · Computer Science 2025-06-03 Minbo Ma , Kai Tang , Huan Li , Fei Teng , Dalin Zhang , Tianrui Li

The attention operator is arguably the key distinguishing factor of transformer architectures, which have demonstrated state-of-the-art performance on a variety of tasks. However, transformer attention operators often impose a significant…

Machine Learning · Computer Science 2024-12-24 Ziyang Wu , Tianjiao Ding , Yifu Lu , Druv Pai , Jingyuan Zhang , Weida Wang , Yaodong Yu , Yi Ma , Benjamin D. Haeffele

Time series forecasting has recently achieved significant progress with multi-scale models to address the heterogeneity between long and short range patterns. Despite their state-of-the-art performance, we identify two potential areas for…

Machine Learning · Computer Science 2025-02-18 Zihao Wu , Juncheng Dong , Haoming Yang , Vahid Tarokh

Learning subtle representation about object parts plays a vital role in fine-grained visual recognition (FGVR) field. The vision transformer (ViT) achieves promising results on computer vision due to its attention mechanism. Nonetheless,…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Yuan Zhang , Jian Cao , Ling Zhang , Xiangcheng Liu , Zhiyi Wang , Feng Ling , Weiqian Chen

Attention is an important cognition process of humans, which helps humans concentrate on critical information during their perception and learning. However, although many machine learning models can remember information of data, they have…

Machine Learning · Computer Science 2019-09-06 Guoqiang Zhong , Xin Lin , Kang Chen , Qingyang Li , Kaizhu Huang

Multivariate time series forecasting plays a crucial role in various fields such as finance, traffic management, energy, and healthcare. Recent studies have highlighted the advantages of channel independence to resist distribution drift but…

Machine Learning · Computer Science 2024-11-19 Lu Han , Xu-Yang Chen , Han-Jia Ye , De-Chuan Zhan