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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

Time-series forecasting has seen significant advancements with the introduction of token prediction mechanisms such as multi-head attention. However, these methods often struggle to achieve the same performance as in language modeling,…

Machine Learning · Computer Science 2024-12-03 Panayiotis Christou , Shichu Chen , Xupeng Chen , Parijat Dube

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

Traffic forecasting requires modeling complex temporal dynamics and long-range spatial dependencies over large sensor networks. Existing methods typically face a trade-off between expressiveness and efficiency: Transformer-based models…

Machine Learning · Computer Science 2026-04-16 Xinjin Li , Jinghan Cao , Mengyue Wang , Yue Wu , Longxiang Yan , Yeyang Zhou , Ziqi Sha , Yu Ma

The Mamba layer offers an efficient selective state space model (SSM) that is highly effective in modeling multiple domains, including NLP, long-range sequence processing, and computer vision. Selective SSMs are viewed as dual models, in…

Machine Learning · Computer Science 2024-04-02 Ameen Ali , Itamar Zimerman , Lior Wolf

Multivariate time series forecasting has been widely used in various practical scenarios. Recently, Transformer-based models have shown significant potential in forecasting tasks due to the capture of long-range dependencies. However,…

Machine Learning · Computer Science 2023-02-10 Zhe Li , Zhongwen Rao , Lujia Pan , Zenglin Xu

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

The Transformer is a highly successful deep learning model that has revolutionised the world of artificial neural networks, first in natural language processing and later in computer vision. This model is based on the attention mechanism…

Machine Learning · Computer Science 2023-05-09 Riccardo Ughi , Eugenio Lomurno , Matteo Matteucci

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

Transformer-based models have significantly advanced time series forecasting. Recent work, like the Cross-Attention-only Time Series transformer (CATS), shows that removing self-attention can make the model more accurate and efficient.…

Machine Learning · Computer Science 2025-09-08 Jiajun Song , Xiaoou Liu

We propose an efficient design of Transformer-based models for multivariate time series forecasting and self-supervised representation learning. It is based on two key components: (i) segmentation of time series into subseries-level patches…

Machine Learning · Computer Science 2023-03-07 Yuqi Nie , Nam H. Nguyen , Phanwadee Sinthong , Jayant Kalagnanam

Time series prediction is crucial for understanding and forecasting complex dynamics in various domains, ranging from finance and economics to climate and healthcare. Based on Transformer architecture, one approach involves encoding…

Machine Learning · Computer Science 2024-05-24 Xin Cheng , Xiuying Chen , Shuqi Li , Di Luo , Xun Wang , Dongyan Zhao , Rui Yan

Balancing fine-grained local modeling with long-range dependency capture under computational constraints remains a central challenge in sequence modeling. While Transformers provide strong token mixing, they suffer from quadratic…

Machine Learning · Computer Science 2026-03-20 Youjin Wang , Jiaqiao Zhao , Rong Fu , Run Zhou , Ruizhe Zhang , Jiani Liang , Suisuai Cao , Feng Zhou

Transformers have demonstrated strong performance across a wide range of sequence modeling tasks, but their quadratic attention complexity limits scalability to long sequences. Linear models such as Mamba and sliding-window attention (SWA)…

Machine Learning · Computer Science 2025-09-03 Aref Jafari , Yuhe Fan , Benyamin Jamialahmadi , Parsa Farinneya , Boxing Chen , Marzieh S. Tahaei

Recently, Transformer-based models for long sequence time series forecasting have demonstrated promising results. The self-attention mechanism as the core component of these Transformer-based models exhibits great potential in capturing…

Machine Learning · Computer Science 2024-12-17 Zhicheng Zhang , Yong Wang , Shaoqi Tan , Bowei Xia , Yujie Luo

In the post-deep learning era, the Transformer architecture has demonstrated its powerful performance across pre-trained big models and various downstream tasks. However, the enormous computational demands of this architecture have deterred…

Sequence modeling is a crucial area across various domains, including Natural Language Processing (NLP), speech recognition, time series forecasting, music generation, and bioinformatics. Recurrent Neural Networks (RNNs) and Long Short Term…

Machine Learning · Computer Science 2024-04-26 Badri Narayana Patro , Vijay Srinivas Agneeswaran

When predicting the next token in a sequence, vanilla transformers compute attention over all previous tokens, resulting in quadratic scaling of compute with sequence length. State-space models compress the entire sequence of tokens into a…

Machine Learning · Computer Science 2024-11-27 Yash Akhauri , Safeen Huda , Mohamed S. Abdelfattah

Transformers are the cornerstone of modern large language models, but their quadratic computational complexity limits efficiency in long-sequence processing. Recent advancements in Mamba, a state space model (SSM) with linear complexity,…

Machine Learning · Computer Science 2026-01-08 Yixing Li , Ruobing Xie , Zhen Yang , Xingwu Sun , Shuaipeng Li , Weidong Han , Zhanhui Kang , Yu Cheng , Chengzhong Xu , Di Wang , Jie Jiang

Large-scale foundation models for scientific machine learning adapt to physical settings unseen during training, such as zero-shot transfer between turbulent scales. This phenomenon, in-context learning, challenges conventional…

Machine Learning · Computer Science 2026-04-14 Anthony Bao , Jeffrey Lai , William Gilpin