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Transformer structure has achieved great success in multiple applied machine learning communities, such as natural language processing (NLP), computer vision (CV) and information retrieval (IR). Transformer architecture's core mechanism\,…

Information Retrieval · Computer Science 2026-01-06 Zhichao Xu

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

Transformers have dominated sequence processing tasks for the past seven years -- most notably language modeling. However, the inherent quadratic complexity of their attention mechanism remains a significant bottleneck as context length…

Computation and Language · Computer Science 2025-10-08 Alexander M. Fichtl , Jeremias Bohn , Josefin Kelber , Edoardo Mosca , Georg Groh

Selective state-space models (SSMs) like Mamba overcome some of the shortcomings of Transformers, such as quadratic computational complexity with sequence length and large inference-time memory requirements from the key-value cache.…

Mamba is an effective state space model with linear computation complexity. It has recently shown impressive efficiency in dealing with high-resolution inputs across various vision tasks. In this paper, we reveal that the powerful Mamba…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Dongchen Han , Ziyi Wang , Zhuofan Xia , Yizeng Han , Yifan Pu , Chunjiang Ge , Jun Song , Shiji Song , Bo Zheng , Gao Huang

Transformers are the current architecture of choice for NLP, but their attention layers do not scale well to long contexts. Recent works propose to replace attention with linear recurrent layers -- this is the case for state space models,…

Computation and Language · Computer Science 2024-07-09 Hugo Pitorro , Pavlo Vasylenko , Marcos Treviso , André F. T. Martins

Transformers have the representational capacity to simulate Massively Parallel Computation (MPC) algorithms, but they suffer from quadratic time complexity, which severely limits their scalability. We introduce an efficient attention…

Machine Learning · Computer Science 2025-09-12 Jingwen Liu , Hantao Yu , Clayton Sanford , Alexandr Andoni , Daniel Hsu

As one of the most representative DL techniques, Transformer architecture has empowered numerous advanced models, especially the large language models (LLMs) that comprise billions of parameters, becoming a cornerstone in deep learning.…

Machine Learning · Computer Science 2026-04-07 Haohao Qu , Liangbo Ning , Rui An , Wenqi Fan , Tyler Derr , Hui Liu , Xin Xu , Qing Li

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

Transformers have become the backbone of modern Large Language Models (LLMs); however, their inference overhead grows linearly with the sequence length, posing challenges for modeling long sequences. In light of this, Mamba has attracted…

Machine Learning · Computer Science 2025-05-30 Ruifeng Ren , Zhicong Li , Yong Liu

Modern multivariate time series forecasting primarily relies on two architectures: the Transformer with attention mechanism and Mamba. In natural language processing, an approach has been used that combines local window attention for…

Machine Learning · Computer Science 2025-09-26 Itay Katav , Aryeh Kontorovich

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

Transformers have achieved remarkable success in sequence modeling and beyond but suffer from quadratic computational and memory complexities with respect to the length of the input sequence. Leveraging techniques include sparse and linear…

Machine Learning · Computer Science 2022-08-02 Tan Nguyen , Richard G. Baraniuk , Robert M. Kirby , Stanley J. Osher , Bao Wang

The self-attention mechanism, at the heart of the Transformer model, is able to effectively model pairwise interactions between tokens. However, numerous recent works have shown that it is unable to perform basic tasks involving detecting…

Machine Learning · Computer Science 2026-02-03 Sayak Chakrabarti , Toniann Pitassi , Josh Alman

Transformers have become increasingly popular for image super-resolution (SR) tasks due to their strong global context modeling capabilities. However, their quadratic computational complexity necessitates the use of window-based attention…

Computer Vision and Pattern Recognition · Computer Science 2025-03-11 Aman Urumbekov , Zheng Chen

Transformer is a powerful model for text understanding. However, it is inefficient due to its quadratic complexity to input sequence length. Although there are many methods on Transformer acceleration, they are still either inefficient on…

Computation and Language · Computer Science 2021-09-07 Chuhan Wu , Fangzhao Wu , Tao Qi , Yongfeng Huang , Xing Xie

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

Transformer-based large language models (LLMs) excel in modeling complex language patterns but face significant computational costs during inference, especially with long inputs due to the attention mechanism's memory overhead. We observe…

Computation and Language · Computer Science 2024-10-18 Ruiqing Yan , Linghan Zheng , Xingbo Du , Han Zou , Yufeng Guo , Jianfei Yang

Linear attention transformers have become a strong alternative to softmax attention due to their efficiency. However, linear attention tends to be less expressive and results in reduced accuracy compared to softmax attention. To bridge the…

Machine Learning · Computer Science 2026-05-18 Gabriel Mongaras , Eric C. Larson

Attention mechanisms have been widely used to capture long-range dependencies among nodes in Graph Transformers. Bottlenecked by the quadratic computational cost, attention mechanisms fail to scale in large graphs. Recent improvements in…

Machine Learning · Computer Science 2024-02-02 Chloe Wang , Oleksii Tsepa , Jun Ma , Bo Wang
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