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Vision Transformer (ViT), as a powerful alternative to Convolutional Neural Network (CNN), has received much attention. Recent work showed that ViTs are also vulnerable to adversarial examples like CNNs. To build robust ViTs, an intuitive…

Computer Vision and Pattern Recognition · Computer Science 2022-07-22 Boxi Wu , Jindong Gu , Zhifeng Li , Deng Cai , Xiaofei He , Wei Liu

The Transformer architecture has revolutionized deep learning, delivering the state-of-the-art performance in areas such as natural language processing, computer vision, and time series prediction. However, its core component,…

Machine Learning · Computer Science 2025-07-24 Haolin Jin , Mengbai Xiao , Yuan Yuan , Xiao Zhang , Dongxiao Yu , Guanghui Zhang , Haoliang Wang

Dot-product attention has wide applications in computer vision and natural language processing. However, its memory and computational costs grow quadratically with the input size. Such growth prohibits its application on high-resolution…

Computer Vision and Pattern Recognition · Computer Science 2024-01-22 Zhuoran Shen , Mingyuan Zhang , Haiyu Zhao , Shuai Yi , Hongsheng Li

Vision Transformers (ViTs) have recently taken computer vision by storm. However, the softmax attention underlying ViTs comes with a quadratic complexity in time and memory, hindering the application of ViTs to high-resolution images. We…

Computer Vision and Pattern Recognition · Computer Science 2025-02-17 Chuanyang Zheng

Transformers, and the attention mechanism in particular, have become ubiquitous in machine learning. Their success in modeling nonlocal, long-range correlations has led to their widespread adoption in natural language processing, computer…

Machine Learning · Computer Science 2025-12-23 Edoardo Calvello , Nikola B. Kovachki , Matthew E. Levine , Andrew M. Stuart

Transformers have shown dominant performance across a range of domains including language and vision. However, their computational cost grows quadratically with the sequence length, making their usage prohibitive for resource-constrained…

Computation and Language · Computer Science 2023-10-24 Yinghan Long , Sayeed Shafayet Chowdhury , Kaushik Roy

Many machine learning tasks such as multiple instance learning, 3D shape recognition, and few-shot image classification are defined on sets of instances. Since solutions to such problems do not depend on the order of elements of the set,…

Machine Learning · Computer Science 2019-05-28 Juho Lee , Yoonho Lee , Jungtaek Kim , Adam R. Kosiorek , Seungjin Choi , Yee Whye Teh

Vision Transformer (ViT) has made significant advancements in computer vision, thanks to its token mixer's sophisticated ability to capture global dependencies between all tokens. However, the quadratic growth in computational demands as…

Computer Vision and Pattern Recognition · Computer Science 2025-12-01 Guoan Xu , Wenfeng Huang , Wenjing Jia , Jiamao Li , Guangwei Gao , Guo-Jun Qi

Processing 3D data efficiently has always been a challenge. Spatial operations on large-scale point clouds, stored as sparse data, require extra cost. Attracted by the success of transformers, researchers are using multi-head attention for…

Computer Vision and Pattern Recognition · Computer Science 2022-08-02 Mahdi Saleh , Yige Wang , Nassir Navab , Benjamin Busam , Federico Tombari

We introduce a new attention mechanism, dubbed structural self-attention (StructSA), that leverages rich correlation patterns naturally emerging in key-query interactions of attention. StructSA generates attention maps by recognizing…

Computer Vision and Pattern Recognition · Computer Science 2024-04-08 Manjin Kim , Paul Hongsuck Seo , Cordelia Schmid , Minsu Cho

Recent works have demonstrated that transformer can achieve promising performance in computer vision, by exploiting the relationship among image patches with self-attention. While they only consider the attention in a single feature layer,…

Computer Vision and Pattern Recognition · Computer Science 2023-06-12 Nannan Li , Yaran Chen , Weifan Li , Zixiang Ding , Dongbin Zhao

Transformer models have demonstrated remarkable success in many domains such as natural language processing (NLP) and computer vision. With the growing interest in transformer-based architectures, they are now utilized for gesture…

Computer Vision and Pattern Recognition · Computer Science 2024-12-24 Mallika Garg , Debashis Ghosh , Pyari Mohan Pradhan

Attention mechanisms have become integral in AI, significantly enhancing model performance and scalability by drawing inspiration from human cognition. Concurrently, the Attention Schema Theory (AST) in cognitive science posits that…

Artificial Intelligence · Computer Science 2025-09-22 Krati Saxena , Federico Jurado Ruiz , Guido Manzi , Dianbo Liu , Alex Lamb

Recently, the Transformer model that is based solely on attention mechanisms, has advanced the state-of-the-art on various machine translation tasks. However, recent studies reveal that the lack of recurrence hinders its further improvement…

Computation and Language · Computer Science 2019-04-08 Jie Hao , Xing Wang , Baosong Yang , Longyue Wang , Jinfeng Zhang , Zhaopeng Tu

Long-context video understanding and generation pose a significant computational challenge for Transformer-based video models due to the quadratic complexity of self-attention. While existing sparse attention methods employ coarse-grained…

Computer Vision and Pattern Recognition · Computer Science 2026-04-01 Anmin Liu , Ruixuan Yang , Huiqiang Jiang , Bin Lin , Minmin Sun , Yong Li , Chen Zhang , Tao Xie

This document provides a brief introduction to the attention mechanism used in modern language models based on the Transformer architecture. We first illustrate how text is encoded as vectors and how the attention mechanism processes these…

Numerical Analysis · Mathematics 2026-04-02 Michel Fabrice Serret

We describe an efficient hierarchical method to compute attention in the Transformer architecture. The proposed attention mechanism exploits a matrix structure similar to the Hierarchical Matrix (H-Matrix) developed by the numerical…

Machine Learning · Computer Science 2021-07-27 Zhenhai Zhu , Radu Soricut

Recurrent neural networks are effective models to process sequences. However, they are unable to learn long-term dependencies because of their inherent sequential nature. As a solution, Vaswani et al. introduced the Transformer, a model…

Machine Learning · Computer Science 2023-03-28 Quentin Fournier , Gaétan Marceau Caron , Daniel Aloise

Prior works have proposed several strategies to reduce the computational cost of self-attention mechanism. Many of these works consider decomposing the self-attention procedure into regional and local feature extraction procedures that each…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Ting Yao , Yehao Li , Yingwei Pan , Yu Wang , Xiao-Ping Zhang , Tao Mei

Recently Transformer has shown good performance in several vision tasks due to its powerful modeling capabilities. To reduce the quadratic complexity caused by the attention, some outstanding work restricts attention to local regions or…

Computer Vision and Pattern Recognition · Computer Science 2023-05-03 Fangjian Lin , Yizhe Ma , Sitong Wu , Long Yu , Shengwei Tian