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In recent years, transformer structures have been widely applied in image captioning with impressive performance. For good captioning results, the geometry and position relations of different visual objects are often thought of as crucial…

Computer Vision and Pattern Recognition · Computer Science 2021-10-04 Chi Wang , Yulin Shen , Luping Ji

The encoding of input parameters is one of the fundamental building blocks of neural network algorithms. Its goal is to map the input data to a higher-dimensional space, typically supported by trained feature vectors. The mapping is crucial…

Graphics · Computer Science 2025-07-29 Jakub Bokšanský , Daniel Meister , Carsten Benthin

Shape assembly, which aims to reassemble separate parts into a complete object, has gained significant interest in recent years. Existing methods primarily rely on networks to predict the poses of individual parts, but often fail to…

Computer Vision and Pattern Recognition · Computer Science 2024-12-03 Jiahan Li , Chaoran Cheng , Jianzhu Ma , Ge Liu

Nowadays, transformer networks have demonstrated superior performance in many computer vision tasks. In a multi-view 3D reconstruction algorithm following this paradigm, self-attention processing has to deal with intricate image tokens…

Computer Vision and Pattern Recognition · Computer Science 2023-08-21 Liying Yang , Zhenwei Zhu , Xuxin Lin , Jian Nong , Yanyan Liang

Vision Transformers (ViTs) have been shown to enhance visual recognition through modeling long-range dependencies with multi-head self-attention (MHSA), which is typically formulated as Query-Key-Value computation. However, the attention…

Computer Vision and Pattern Recognition · Computer Science 2023-11-28 Chongjian Ge , Xiaohan Ding , Zhan Tong , Li Yuan , Jiangliu Wang , Yibing Song , Ping Luo

Vision Transformers are very popular nowadays due to their state-of-the-art performance in several computer vision tasks, such as image classification and action recognition. Although their performance has been greatly enhanced through…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Dimitrios Konstantinidis , Ilias Papastratis , Kosmas Dimitropoulos , Petros Daras

Soft attention is a critical mechanism powering LLMs to locate relevant parts within a given context. However, individual attention weights are determined by the similarity of only a single query and key token vector. This "single token…

Computation and Language · Computer Science 2025-07-14 Olga Golovneva , Tianlu Wang , Jason Weston , Sainbayar Sukhbaatar

Transformer models are permutation equivariant. To supply the order and type information of the input tokens, position and segment embeddings are usually added to the input. Recent works proposed variations of positional encodings with…

Computation and Language · Computer Science 2021-11-04 Pu-Chin Chen , Henry Tsai , Srinadh Bhojanapalli , Hyung Won Chung , Yin-Wen Chang , Chun-Sung Ferng

Transformers are built upon multi-head scaled dot-product attention and positional encoding, which aim to learn the feature representations and token dependencies. In this work, we focus on enhancing the distinctive representation by…

Computer Vision and Pattern Recognition · Computer Science 2022-07-12 Litao Yu , Jian Zhang

In recent years, molecular representation learning has emerged as a key area of focus in various chemical tasks. However, many existing models fail to fully consider the geometric information of molecular structures, resulting in less…

Machine Learning · Computer Science 2023-06-29 Bumju Kwak , Jiwon Park , Taewon Kang , Jeonghee Jo , Byunghan Lee , Sungroh Yoon

Neighborhood-aware tokenized graph Transformers have recently shown great potential for node classification tasks. Despite their effectiveness, our in-depth analysis of neighborhood tokens reveals two critical limitations in the existing…

Machine Learning · Computer Science 2025-05-26 Chenyang Li , Jinsong Chen , John E. Hopcroft , Kun He

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

The attention mechanism is the primary component of the transformer architecture; it has led to significant advancements in deep learning spanning many domains and covering multiple tasks. In computer vision, the attention mechanism was…

Computer Vision and Pattern Recognition · Computer Science 2025-05-05 Abdullah Nazhat Abdullah , Tarkan Aydin

We tackle the task of synthesizing novel views of an object given a few input images and associated camera viewpoints. Our work is inspired by recent 'geometry-free' approaches where multi-view images are encoded as a (global) set-latent…

Computer Vision and Pattern Recognition · Computer Science 2023-01-12 Naveen Venkat , Mayank Agarwal , Maneesh Singh , Shubham Tulsiani

We introduce a novel self-attention mechanism, which we call CSA (Chromatic Self-Attention), which extends the notion of attention scores to attention _filters_, independently modulating the feature channels. We showcase CSA in a…

Machine Learning · Computer Science 2023-04-24 Romain Menegaux , Emmanuel Jehanno , Margot Selosse , Julien Mairal

Transformers achieve strong performance across diverse domains but implicitly assume Euclidean geometry in their attention mechanisms, limiting their effectiveness on data with non-Euclidean structure. While recent extensions to hyperbolic…

Machine Learning · Computer Science 2025-10-03 Ryan Y. Lin , Siddhartha Ojha , Nicholas Bai

The Transformer architecture has gained growing attention in graph representation learning recently, as it naturally overcomes several limitations of graph neural networks (GNNs) by avoiding their strict structural inductive biases and…

Machine Learning · Statistics 2022-06-14 Dexiong Chen , Leslie O'Bray , Karsten Borgwardt

Two-view correspondence learning is a key task in computer vision, which aims to establish reliable matching relationships for applications such as camera pose estimation and 3D reconstruction. However, existing methods have limitations in…

Computer Vision and Pattern Recognition · Computer Science 2025-12-30 Shuyuan Lin , Mengtin Lo , Haosheng Chen , Yanjie Liang , Qiangqiang Wu

VLA models encode visual observations as 2D patch tokens with no intrinsic geometric structure. We introduce GST-VLA with two contributions. First, the Gaussian Spatial Tokenizer (GST) converts frozen dense depth and frozen semantic patch…

Computer Vision and Pattern Recognition · Computer Science 2026-03-11 Md Selim Sarowar , Omer Tariq , Sungho Kim

Attentional mechanisms are order-invariant. Positional encoding is a crucial component to allow attention-based deep model architectures such as Transformer to address sequences or images where the position of information matters. In this…

Machine Learning · Computer Science 2021-11-10 Yang Li , Si Si , Gang Li , Cho-Jui Hsieh , Samy Bengio
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