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The attention interaction matrix $QK^{\top}$ contains two entangled computations: a skew-symmetric component that redistributes information between positions (routing) and a symmetric component that scales mutual relevance (filtering). We…

Machine Learning · Computer Science 2026-05-20 Shafayeth Jamil , Rehan Kapadia

The Transformer model is widely successful on many natural language processing tasks. However, the quadratic complexity of self-attention limit its application on long text. In this paper, adopting a fine-to-coarse attention mechanism on…

Computation and Language · Computer Science 2019-11-12 Zihao Ye , Qipeng Guo , Quan Gan , Xipeng Qiu , Zheng Zhang

Few-shot Hierarchical Text Classification (few-shot HTC) is a challenging task that involves mapping texts to a predefined tree-structured label hierarchy under data-scarce conditions. While current approaches utilize structural constraints…

Computation and Language · Computer Science 2026-04-20 Ke Xiong , Qian Wu , Wangjie Gan , Yuke Li , Xuhong Zhang

With the emergence of Artificial Intelligence, numerical algorithms are moving towards more approximate approaches. For methods such as PCA or diffusion maps, it is necessary to compute eigenvalues of a large matrix, which may also be dense…

Numerical Analysis · Mathematics 2023-11-17 Keerthi Gaddameedi , Severin Reiz , Tobias Neckel , Hans-Joachim Bungartz

Spectrum cartography reconstructs spatial radio fields from sparse and heterogeneous wireless measurements, underpinning many sensing and optimization tasks in wireless networks. Attention mechanisms have recently enabled adaptive…

Optimization and Control · Mathematics 2026-04-29 Liping Tao , Chee Wei Tan

Attention mechanisms have significantly advanced visual models by capturing global context effectively. However, their reliance on large-scale datasets and substantial computational resources poses challenges in data-scarce and…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Chenghao Li , Chaoning Zhang , Boheng Zeng , Yi Lu , Pengbo Shi , Qingzi Chen , Jirui Liu , Lingyun Zhu , Yang Yang , Heng Tao Shen

Simulated data-assisted SAR target recognition methods are the research hotspot currently, devoted to solving the problem of limited samples. Existing works revolve around simulated images, but the large amount of irrelevant information…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Chenxi Zhao , Daochang Wang , Siqian Zhang , Gangyao Kuang

Real-time jet tagging is critical for identifying short-lived particle decays in the high-throughput detectors of the Large Hadron Collider, where real-time trigger systems responsible for deciding which collision events to store impose…

High Energy Physics - Experiment · Physics 2026-05-22 Aaron Wang , Zihan Zhao , Alan Xia , Chang Sun , Abhijith Gandrakota , Jennifer Ngadiuba , Richard Cavanaugh , Javier Duarte

Hierarchical Clustering has been studied and used extensively as a method for analysis of data. More recently, Dasgupta [2016] defined a precise objective function. Given a set of $n$ data points with a weight function $w_{i,j}$ for each…

Data Structures and Algorithms · Computer Science 2021-11-15 Mirmahdi Rahgoshay , Mohammad R. Salavatipour

Despite their ubiquity in core AI fields like natural language processing, the mechanics of deep attention-based neural networks like the Transformer model are not fully understood. In this article, we present a new perspective towards…

Machine Learning · Computer Science 2021-06-04 Matthew A. Wright , Joseph E. Gonzalez

Hierarchical clustering is a widely used method for unsupervised learning with numerous applications. However, in the application of modern algorithms, the datasets studied are usually large and dynamic. If the hierarchical clustering is…

Machine Learning · Computer Science 2025-07-15 Shijie Li , Weiqiang He , Ruobing Bai , Pan Peng

In this paper, a hierarchical Tucker low-rank (HTLR) matrix is proposed to approximate non-oscillatory kernel functions in linear complexity. The HTLR matrix is based on the hierarchical matrix, with the low-rank blocks replaced by Tucker…

Numerical Analysis · Mathematics 2025-08-11 Yingzhou Li , Jingyu Liu

Transformers and their attention mechanism have been revolutionary in the field of Machine Learning. While originally proposed for the language data, they quickly found their way to the image, video, graph, etc. data modalities with various…

Machine Learning · Computer Science 2025-09-22 Saeed Amizadeh , Sara Abdali , Yinheng Li , Kazuhito Koishida

Network alignment task, which aims to identify corresponding nodes in different networks, is of great significance for many subsequent applications. Without the need for labeled anchor links, unsupervised alignment methods have been…

Machine Learning · Computer Science 2022-08-29 Qingqiang Sun , Xuemin Lin , Ying Zhang , Wenjie Zhang , Chaoqi Chen

Sparse Transformer has recently attracted a lot of attention since the ability for reducing the quadratic dependency on the sequence length. We argue that two factors, information bottleneck sensitivity and inconsistency between different…

Computation and Language · Computer Science 2022-03-24 Yang Liu , Jiaxiang Liu , Li Chen , Yuxiang Lu , Shikun Feng , Zhida Feng , Yu Sun , Hao Tian , Hua Wu , Haifeng Wang

Recently Transformers have provided state-of-the-art performance in sparse matching, crucial to realize high-performance 3D vision applications. Yet, these Transformers lack efficiency due to the quadratic computational complexity of their…

Computer Vision and Pattern Recognition · Computer Science 2022-04-25 Suwichaya Suwanwimolkul , Satoshi Komorita

Diffusion Transformers (DiT) have become a leading architecture in image generation. However, the quadratic complexity of attention mechanisms, which are responsible for modeling token-wise relationships, results in significant latency when…

Computer Vision and Pattern Recognition · Computer Science 2024-12-23 Songhua Liu , Zhenxiong Tan , Xinchao Wang

In the field of medical CT image processing, convolutional neural networks (CNNs) have been the dominant technique.Encoder-decoder CNNs utilise locality for efficiency, but they cannot simulate distant pixel interactions properly.Recent…

Image and Video Processing · Electrical Eng. & Systems 2022-11-03 Hongyang He , Feng Ziliang , Yuanhang Zheng , Shudong Huang , HaoBing Gao

Multi-head, key-value attention is the backbone of the widely successful Transformer model and its variants. This attention mechanism uses multiple parallel key-value attention blocks (called heads), each performing two fundamental…

Machine Learning · Computer Science 2022-02-15 Sarthak Mittal , Sharath Chandra Raparthy , Irina Rish , Yoshua Bengio , Guillaume Lajoie

Hierarchical text classification (HTC) is essential for various real applications. However, HTC models are challenging to develop because they often require processing a large volume of documents and labels with hierarchical taxonomy.…

Computation and Language · Computer Science 2023-11-08 SangHun Im , Gibaeg Kim , Heung-Seon Oh , Seongung Jo , Donghwan Kim
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