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In recent years, Transformers have become the de-facto architecture for long-term sequence forecasting (LTSF), but faces challenges such as quadratic complexity and permutation invariant bias. A recent model, Mamba, based on selective state…

Machine Learning · Computer Science 2024-05-28 Xiuding Cai , Yaoyao Zhu , Xueyao Wang , Yu Yao

In the realm of time series forecasting (TSF), it is imperative for models to adeptly discern and distill hidden patterns within historical time series data to forecast future states. Transformer-based models exhibit formidable efficacy in…

Machine Learning · Computer Science 2024-04-30 Zihan Wang , Fanheng Kong , Shi Feng , Ming Wang , Xiaocui Yang , Han Zhao , Daling Wang , Yifei Zhang

In multivariate time-series forecasting (MTSF), extracting the temporal correlations of the input sequences is crucial. While popular Transformer-based predictive models can perform well, their quadratic computational complexity results in…

Machine Learning · Computer Science 2024-07-23 Shusen Ma , Yu Kang , Peng Bai , Yun-Bo Zhao

Multivariate Time series forecasting is crucial in domains such as transportation, meteorology, and finance, especially for predicting extreme weather events. State-of-the-art methods predominantly rely on Transformer architectures, which…

Machine Learning · Computer Science 2024-10-16 Li Wu , Wenbin Pei , Jiulong Jiao , Qiang Zhang

Long-short range time series forecasting is essential for predicting future trends and patterns over extended periods. While deep learning models such as Transformers have made significant strides in advancing time series forecasting, they…

Machine Learning · Computer Science 2024-09-16 Wenqing Zhang , Junming Huang , Ruotong Wang , Changsong Wei , Wenqian Huang , Yuxin Qiao

Recent advancements in multivariate time series forecasting have been propelled by Linear-based, Transformer-based, and Convolution-based models, with Transformer-based architectures gaining prominence for their efficacy in temporal and…

Machine Learning · Computer Science 2024-09-27 Chaolv Zeng , Zhanyu Liu , Guanjie Zheng , Linghe Kong

In multivariate time series forecasting (MTSF), existing strategies for processing sequences are typically categorized as channel-independent and channel-mixing. The former treats all temporal information of each variable as a token,…

Artificial Intelligence · Computer Science 2025-07-08 Bing Fan , Shusen Ma , Yun-Bo Zhao , Yu Kang

The problem of Time-series Forecasting is generally addressed by recurrent, Transformer-based and the recently proposed Mamba-based architectures. However, existing architectures generally process their input at a single temporal scale,…

Machine Learning · Computer Science 2026-03-06 Yusuf Meric Karadag , Ismail Talaz , Ipek Gursel Dino , Sinan Kalkan

Long-term multivariate time series forecasting (LTSF) plays a crucial role in various high-performance computing applications, including real-time energy grid management and large-scale traffic flow simulation. However, existing solutions…

Machine Learning · Computer Science 2026-02-03 Qianyang Li , Xingjun Zhang , Shaoxun Wang , Jia Wei , Yueqi Xing

Foundation models, now powering most of the exciting applications in deep learning, are almost universally based on the Transformer architecture and its core attention module. Many subquadratic-time architectures such as linear attention,…

Machine Learning · Computer Science 2024-06-03 Albert Gu , Tri Dao

Time series prediction, a crucial task across various domains, faces significant challenges due to the inherent complexities of time series data, including non-stationarity, multi-scale periodicity, and transient dynamics, particularly when…

Machine Learning · Computer Science 2025-07-18 Qianru Zhang , Chenglei Yu , Haixin Wang , Yudong Yan , Yuansheng Cao , Siu-Ming Yiu , Tailin Wu , Hongzhi Yin

Long-term time-series forecasting remains challenging due to the difficulty in capturing long-term dependencies, achieving linear scalability, and maintaining computational efficiency. We introduce TimeMachine, an innovative model that…

Machine Learning · Computer Science 2024-08-26 Md Atik Ahamed , Qiang Cheng

Time series forecasting has made significant advances, including with Transformer-based models. The attention mechanism in Transformer effectively captures temporal dependencies by attending to all past inputs simultaneously. However, its…

Machine Learning · Computer Science 2025-11-04 Xiongxiao Xu , Canyu Chen , Yueqing Liang , Baixiang Huang , Guangji Bai , Liang Zhao , Kai Shu

Multivariate time series forecasting is fundamental to numerous domains such as energy, finance, and environmental monitoring, where complex temporal dependencies and cross-variable interactions pose enduring challenges. Existing…

Machine Learning · Computer Science 2026-05-15 Xingsheng Chen , Xianpei Mu , Deyu Yi , Yilin Yuan , Xingwei He , Bo Gao , Regina Zhang , Pietro Lio , Siu-Ming Yiu

Accurate long-term time series forecasting (LTSF) requires the capture of complex long-range dependencies and dynamic periodic patterns. Recent advances in frequency-domain analysis offer a global perspective for uncovering temporal…

Artificial Intelligence · Computer Science 2026-04-28 Xudong Jiang , Mingshan Loo , Hanchen Yang , Wengen Li , Mingrui Zhang , Yichao Zhang , Jihong Guan , Shuigeng Zhou

State Space Models (SSMs), particularly Mamba, have shown potential in long-term time series forecasting. However, existing Mamba-based architectures often struggle with datasets characterized by non-stationary patterns. A key observation…

Machine Learning · Computer Science 2026-02-11 Ruxuan Chen , Fang Sun

Time series foundation models have demonstrated strong performance in zero-shot learning, making them well-suited for predicting rapidly evolving patterns in real-world applications where relevant training data are scarce. However, most of…

Machine Learning · Computer Science 2024-11-06 Haoyu Ma , Yushu Chen , Wenlai Zhao , Jinzhe Yang , Yingsheng Ji , Xinghua Xu , Xiaozhu Liu , Hao Jing , Shengzhuo Liu , Guangwen Yang

Time series data plays a pivotal role in a wide variety of fields but faces challenges related to privacy concerns. Recently, synthesizing data via diffusion models is viewed as a promising solution. However, existing methods still struggle…

Machine Learning · Computer Science 2025-11-25 Zihao Yao , Jiankai Zuo , Yaying Zhang

In recent years, Transformers have become the de-facto architecture for sequence modeling on text and a variety of multi-dimensional data, such as images and video. However, the use of self-attention layers in a Transformer incurs…

Computer Vision and Pattern Recognition · Computer Science 2024-07-16 Shufan Li , Harkanwar Singh , Aditya Grover

Transformers have widely adopted attention networks for sequence mixing and MLPs for channel mixing, playing a pivotal role in achieving breakthroughs across domains. However, recent literature highlights issues with attention networks,…

Computer Vision and Pattern Recognition · Computer Science 2024-04-26 Badri N. Patro , Vijay S. Agneeswaran
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