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Large language models (LLMs) have shown promise in formal theorem proving, but their token-level processing often fails to capture the inherent hierarchical nature of mathematical proofs. We introduce \textbf{Hierarchical Attention}, a…

Machine Learning · Computer Science 2025-04-29 Jianlong Chen , Chao Li , Yang Yuan , Andrew C Yao

Linear attention has emerged as a promising alternative to softmax-based attention, leveraging kernelized feature maps to reduce complexity from quadratic to linear in sequence length. However, the non-negative constraint on feature maps…

Computer Vision and Pattern Recognition · Computer Science 2025-03-05 Weikang Meng , Yadan Luo , Xin Li , Dongmei Jiang , Zheng Zhang

Self-attention, as the key block of transformers, is a powerful mechanism for extracting features from the inputs. In essence, what self-attention does is to infer the pairwise relations between the elements of the inputs, and modify the…

Machine Learning · Computer Science 2021-03-09 Lemeng Wu , Xingchao Liu , Qiang Liu

In this paper, we investigate the continual learning of Vision Transformers (ViT) for the challenging exemplar-free scenario, with special focus on how to efficiently distill the knowledge of its crucial self-attention mechanism (SAM). Our…

Computer Vision and Pattern Recognition · Computer Science 2022-05-06 Francesco Pelosin , Saurav Jha , Andrea Torsello , Bogdan Raducanu , Joost van de Weijer

Recently, Transformer-based image restoration networks have achieved promising improvements over convolutional neural networks due to parameter-independent global interactions. To lower computational cost, existing works generally limit…

Computer Vision and Pattern Recognition · Computer Science 2023-02-06 Jiale Zhang , Yulun Zhang , Jinjin Gu , Yongbing Zhang , Linghe Kong , Xin Yuan

It is widely accepted from transformer research that "attention is all we need", but the amount of attention required has never been systematically quantified. Is quadratic $O(L^2)$ attention necessary, or is there a sub-quadratic attention…

Machine Learning · Computer Science 2026-01-28 Yufeng Huang

Transformers enable powerful content-based global routing via self-attention, but they lack an explicit local geometric prior along the sequence axis. As a result, the placement of locality-inducing modules in hybrid architectures has…

Machine Learning · Computer Science 2026-02-17 Yukun Zhang , Xueqing Zhou

Vision Transformer (ViT) has emerged as a competitive alternative to convolutional neural networks for various computer vision applications. Specifically, ViT multi-head attention layers make it possible to embed information globally across…

Computer Vision and Pattern Recognition · Computer Science 2022-11-10 Jyotikrishna Dass , Shang Wu , Huihong Shi , Chaojian Li , Zhifan Ye , Zhongfeng Wang , Yingyan Lin

The merits of fast convergence and potentially better performance of the weight normalization family have drawn increasing attention in recent years. These methods use standardization or normalization that changes the weight…

Machine Learning · Computer Science 2019-11-15 Li Xiang , Chen Shuo , Xia Yan , Yang Jian

Motivated by discrete Laplacian differential operators with various accuracy orders in numerical analysis, we introduce new matrices attached to a simple graph that can be considered graph Laplacians with higher accuracy. In particular, we…

Combinatorics · Mathematics 2025-04-09 Mary Yoon

Despite the success of vision transformers (ViTs), they still suffer from significant drops in accuracy in the presence of common corruptions, such as noise or blur. Interestingly, we observe that the attention mechanism of ViTs tends to…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Yong Guo , David Stutz , Bernt Schiele

Recently, it has been argued that encoder-decoder models can be made more interpretable by replacing the softmax function in the attention with its sparse variants. In this work, we introduce a novel, simple method for achieving sparsity in…

Computation and Language · Computer Science 2021-10-07 Biao Zhang , Ivan Titov , Rico Sennrich

The general trend in NLP is towards increasing model capacity and performance via deeper neural networks. However, simply stacking more layers of the popular Transformer architecture for machine translation results in poor convergence and…

Computation and Language · Computer Science 2019-08-30 Biao Zhang , Ivan Titov , Rico Sennrich

In representation learning (RL), how to make the learned representations easy to interpret and less overfitted to training data are two important but challenging issues. To address these problems, we study a new type of regulariza- tion…

Machine Learning · Computer Science 2017-11-28 Pengtao Xie , Hongbao Zhang , Eric P. Xing

Transformer-based methods have achieved remarkable results in image super-resolution tasks because they can capture non-local dependencies in low-quality input images. However, this feature-intensive modeling approach is computationally…

Computer Vision and Pattern Recognition · Computer Science 2025-03-27 Wei Long , Xingyu Zhou , Leheng Zhang , Shuhang Gu

Transformer-based models have recently shown success in representation learning on graph-structured data beyond natural language processing and computer vision. However, the success is limited to small-scale graphs due to the drawbacks of…

Machine Learning · Computer Science 2022-10-05 Jinyoung Park , Seongjun Yun , Hyeonjin Park , Jaewoo Kang , Jisu Jeong , Kyung-Min Kim , Jung-woo Ha , Hyunwoo J. Kim

Self-paced learning (SPL) mimics the cognitive mechanism of humans and animals that gradually learns from easy to hard samples. One key issue in SPL is to obtain better weighting strategy that is determined by minimizer function. Existing…

Machine Learning · Computer Science 2016-09-20 Yanbo Fan , Ran He , Jian Liang , Bao-Gang Hu

The transformer is the most popular neural architecture for language modeling. The cornerstone of the transformer is its global attention mechanism, which lets the model aggregate information from all preceding tokens before generating the…

Computation and Language · Computer Science 2026-05-20 Jiaoda Li , Ryan Cotterell

Transformers have sprung up in the field of computer vision. In this work, we explore whether the core self-attention module in Transformer is the key to achieving excellent performance in image recognition. To this end, we build an…

Computer Vision and Pattern Recognition · Computer Science 2022-05-31 Chuanxin Tang , Yucheng Zhao , Guangting Wang , Chong Luo , Wenxuan Xie , Wenjun Zeng

In both Computer Vision and the wider Deep Learning field, the Transformer architecture is well-established as state-of-the-art for many applications. For Multitask Learning, however, where there may be many more queries necessary compared…

Computer Vision and Pattern Recognition · Computer Science 2025-08-07 Christian Bohn , Thomas Kurbiel , Klaus Friedrichs , Hasan Tercan , Tobias Meisen
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