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Following up on the linear transformer part of the article from Katharopoulos et al., that takes this idea from Shen et al., the trick that produces a linear complexity for the attention mechanism is re-used and extended to a second-order…

Machine Learning · Computer Science 2020-10-29 Jean Mercat

In medical image segmentation, specialized computer vision techniques, notably transformers grounded in attention mechanisms and residual networks employing skip connections, have been instrumental in advancing performance. Nonetheless,…

Computer Vision and Pattern Recognition · Computer Science 2026-05-26 Fuchen Zheng , Xuhang Chen , Weihuang Liu , Haolun Li , Yingtie Lei , Jiahui He , Chi-Man Pun , Shounjun Zhou

Transformers excel across domains, yet their quadratic attention complexity poses a barrier to scaling. Random-feature attention, as in Performers, can reduce this cost to linear in the sequence length by approximating the softmax kernel…

Machine Learning · Computer Science 2026-03-05 Amirhossein Farzam , Hossein Mobahi , Nolan Andrew Miller , Luke Sernau

Transformer plays a central role in many fundamental deep learning models, e.g., the ViT in computer vision and the BERT and GPT in natural language processing, whose effectiveness is mainly attributed to its multi-head attention (MHA)…

Machine Learning · Computer Science 2024-10-16 Shen Yuan , Hongteng Xu

The original softmax-based attention mechanism (regular attention) in the extremely successful Transformer architecture computes attention between $N$ tokens, each embedded in a $D$-dimensional head, with a time complexity of $O(N^2D)$.…

Machine Learning · Computer Science 2025-10-28 Armin Gerami , Ramani Duraiswami

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

Transformer-based models are not efficient in processing long sequences due to the quadratic space and time complexity of the self-attention modules. To address this limitation, Linformer and Informer are proposed to reduce the quadratic…

Machine Learning · Computer Science 2021-12-13 Yifan Chen , Qi Zeng , Dilek Hakkani-Tur , Di Jin , Heng Ji , Yun Yang

The landscape of computational building blocks of efficient image restoration architectures is dominated by a combination of convolutional processing and various attention mechanisms. However, convolutional filters, while efficient, are…

Image and Video Processing · Electrical Eng. & Systems 2025-01-23 Mohammad Shahab Sepehri , Zalan Fabian , Mahdi Soltanolkotabi

Transformer-based models have gained increasing popularity achieving state-of-the-art performance in many research fields including speech translation. However, Transformer's quadratic complexity with respect to the input sequence length…

Computation and Language · Computer Science 2023-10-19 Sara Papi , Marco Gaido , Matteo Negri , Marco Turchi

Transformers' quadratic complexity with respect to the input sequence length has motivated a body of work on efficient sparse approximations to softmax. An alternative path, used by entmax transformers, consists of having built-in exact…

Computation and Language · Computer Science 2022-04-22 Marcos Treviso , António Góis , Patrick Fernandes , Erick Fonseca , André F. T. Martins

Medical images are characterized by intricate and complex features, requiring interpretation by physicians with medical knowledge and experience. Classical neural networks can reduce the workload of physicians, but can only handle these…

Computer Vision and Pattern Recognition · Computer Science 2025-01-14 Yangyang Li , Zhengya Qia , Yuelin Lia , Haorui Yanga , Ronghua Shanga , Licheng Jiaoa

In this paper, we share our reflections and insights on understanding Transformer architectures through the lens of associative memory--a classic psychological concept inspired by human cognition. We start with the basics of associative…

Machine Learning · Computer Science 2025-05-27 Shu Zhong , Mingyu Xu , Tenglong Ao , Guang Shi

As the performance gains from accelerating quantized matrix multiplication plateau, the softmax operation becomes the critical bottleneck in Transformer inference. This bottleneck stems from two hardware limitations: (1) limited data…

Machine Learning · Computer Science 2026-02-03 Zisheng Ye , Xiaoyu He , Maoyuan Song , Guoliang Qiu , Chao Liao , Chen Wu , Yonggang Sun , Zhichun Li , Xiaoru Xie , Yuanyong Luo , Hu Liu , Pinyan Lu , Heng Liao

The Transformer-based model have made significant strides in semantic matching tasks by capturing connections between phrase pairs. However, to assess the relevance of sentence pairs, it is insufficient to just examine the general…

Computation and Language · Computer Science 2024-12-11 Bo Li , Di Liang , Zixin Zhang

Transformers have achieved remarkable successes across a wide range of applications, yet the theoretical foundation of their model efficiency remains underexplored. In this work, we investigate how the model parameters -- mainly attention…

Machine Learning · Computer Science 2025-10-07 Ruoxi Yu , Haotian Jiang , Jingpu Cheng , Penghao Yu , Qianxiao Li , Zhong Li

Softmax can become a computational bottleneck in the Transformer model's Multi-Head Attention (MHA) block, particularly in small models under low-precision inference, where exponentiation and normalization incur significant overhead. As…

Machine Learning · Computer Science 2026-04-03 Dimitrios Danopoulos , Enrico Lupi , Michael Kagan , Maurizio Pierini

Medical image restoration tasks aim to recover high-quality images from degraded observations, exhibiting emergent desires in many clinical scenarios, such as low-dose CT image denoising, MRI super-resolution, and MRI artifact removal.…

Image and Video Processing · Electrical Eng. & Systems 2025-07-09 Pengcheng Zheng , Kecheng Chen , Jiaxin Huang , Bohao Chen , Ju Liu , Yazhou Ren , Xiaorong Pu

Transformer model has gained prominence as a popular deep neural network architecture for neural language processing (NLP) and computer vision (CV) applications. However, the extensive use of nonlinear operations, like softmax, poses a…

Hardware Architecture · Computer Science 2024-11-21 Shuai Dong , Junyi Yang , Xiaoqi Peng , Hongyang Shang , Ye Ke , Xiaofeng Yang , Hongjie Liu , Arindam Basu

Since the introduction of the Transformer architecture for large language models, the softmax-based attention layer has faced increasing scrutinity due to its quadratic-time computational complexity. Attempts have been made to replace it…

Machine Learning · Computer Science 2026-02-02 Robert Forchheimer

Transformer-based methods have improved hyperspectral image classification (HSIC) by modeling long-range spatial-spectral dependencies; however, their attention mechanisms typically rely on dot-product similarity, which mixes feature…

Computer Vision and Pattern Recognition · Computer Science 2026-04-03 Muhammad Ahmad , Manuel Mazzara