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Data representation in non-Euclidean spaces has proven effective for capturing hierarchical and complex relationships in real-world datasets. Hyperbolic spaces, in particular, provide efficient embeddings for hierarchical structures. This…

计算机视觉与模式识别 · 计算机科学 2024-09-27 Jacob Fein-Ashley , Ethan Feng , Minh Pham

Metric learning aims to learn a highly discriminative model encouraging the embeddings of similar classes to be close in the chosen metrics and pushed apart for dissimilar ones. The common recipe is to use an encoder to extract embeddings…

计算机视觉与模式识别 · 计算机科学 2022-03-23 Aleksandr Ermolov , Leyla Mirvakhabova , Valentin Khrulkov , Nicu Sebe , Ivan Oseledets

Although transformers have become the neural architectures of choice for natural language processing, they require orders of magnitude more training data, GPU memory, and computations in order to compete with convolutional neural networks…

计算机视觉与模式识别 · 计算机科学 2021-10-04 Pranav Jeevan , Amit Sethi

Recent advancements in computer vision have highlighted the scalability of Vision Transformers (ViTs) across various tasks, yet challenges remain in balancing adaptability, computational efficiency, and the ability to model higher-order…

计算机视觉与模式识别 · 计算机科学 2025-04-14 Joshua Fixelle

The computer vision community has witnessed an extensive exploration of vision transformers in the past two years. Drawing inspiration from traditional schemes, numerous works focus on introducing vision-specific inductive biases. However,…

计算机视觉与模式识别 · 计算机科学 2025-04-10 Hao Wang , Shuo Zhang , Biao Leng

Most previous heterogeneous graph embedding models represent elements in a heterogeneous graph as vector representations in a low-dimensional Euclidean space. However, because heterogeneous graphs inherently possess complex structures, such…

机器学习 · 计算机科学 2024-04-16 Jongmin Park , Seunghoon Han , Soohwan Jeong , Sungsu Lim

Graph representation learning in Euclidean space, despite its widespread adoption and proven utility in many domains, often struggles to effectively capture the inherent hierarchical and complex relational structures prevalent in real-world…

机器学习 · 计算机科学 2025-08-26 Menglin Yang , Min Zhou , Tong Zhang , Jiahong Liu , Zhihao Li , Lujia Pan , Hui Xiong , Irwin King

3D-aware visual pretraining has proven effective in improving the performance of downstream robotic manipulation tasks. However, existing methods are constrained to Euclidean embedding spaces, whose flat geometry limits their ability to…

机器人学 · 计算机科学 2026-03-13 Jin Yang , Ping Wei , Yixin Chen , Nanning Zheng

Hyperbolic geometry have shown significant potential in modeling complex structured data, particularly those with underlying tree-like and hierarchical structures. Despite the impressive performance of various hyperbolic neural networks…

机器学习 · 计算机科学 2025-08-26 Menglin Yang , Harshit Verma , Delvin Ce Zhang , Jiahong Liu , Irwin King , Rex Ying

Hyperbolic geometry has emerged as a powerful tool for modeling complex, structured data, particularly where hierarchical or tree-like relationships are present. By enabling embeddings with lower distortion, hyperbolic neural networks offer…

机器学习 · 计算机科学 2025-06-18 Pol Arévalo , Alexis Molina , Álvaro Ciudad

One of the crucial challenges taken in document analysis is mathematical expression recognition. Unlike text recognition which only focuses on one-dimensional structure images, mathematical expression recognition is a much more complicated…

计算机视觉与模式识别 · 计算机科学 2026-03-10 Anh Duy Le , Van Linh Pham , Vinh Loi Ly , Nam Quan Nguyen , Huu Thang Nguyen , Tuan Anh Tran

Fine-Grained Visual Classification (FGVC) remains a challenging task due to subtle inter-class differences and large intra-class variations. Existing approaches typically rely on feature-selection mechanisms or region-proposal strategies to…

计算机视觉与模式识别 · 计算机科学 2025-11-14 Yongji Zhang , Siqi Li , Kuiyang Huang , Yue Gao , Yu Jiang

Partially Relevant Video Retrieval (PRVR) addresses the critical challenge of matching untrimmed videos with text queries describing only partial content. Existing methods suffer from geometric distortion in Euclidean space that sometimes…

计算机视觉与模式识别 · 计算机科学 2025-07-29 Jun Li , Jinpeng Wang , Chaolei Tan , Niu Lian , Long Chen , Yaowei Wang , Min Zhang , Shu-Tao Xia , Bin Chen

Hyperbolic neural networks have emerged as a powerful tool for modeling hierarchical data across diverse modalities. Recent studies show that token distributions in foundation models exhibit scale-free properties, suggesting that hyperbolic…

机器学习 · 计算机科学 2025-04-15 Neil He , Menglin Yang , Rex Ying

Hyperbolic geometry has emerged as an effective latent space for representing complex networks, owing to its ability to capture hierarchical organization and heterogeneous connectivity patterns using low-dimensional embeddings. As a result,…

机器学习 · 计算机科学 2026-05-01 Sofía Pérez Casulo , Marcelo Fiori , Bernardo Marenco , Federico Larroca

In heterogeneous graphs, we can observe complex structures such as tree-like or hierarchical structures. Recently, the hyperbolic space has been widely adopted in many studies to effectively learn these complex structures. Although these…

机器学习 · 计算机科学 2026-01-14 Jongmin Park , Seunghoon Han , Hyewon Lee , Won-Yong Shin , Sungsu Lim

The task of multi-label image classification involves recognizing multiple objects within a single image. Considering both valuable semantic information contained in the labels and essential visual features presented in the image, tight…

计算机视觉与模式识别 · 计算机科学 2024-07-24 Shuyi Ouyang , Hongyi Wang , Ziwei Niu , Zhenjia Bai , Shiao Xie , Yingying Xu , Ruofeng Tong , Yen-Wei Chen , Lanfen Lin

The Vision Transformer (ViT) architecture has become widely recognized in computer vision, leveraging its self-attention mechanism to achieve remarkable success across various tasks. Despite its strengths, ViT's optimization remains…

计算机视觉与模式识别 · 计算机科学 2025-08-26 Haoyu Yun , Hamid Krim

Understanding the intricate mappings between visual stimuli and neural responses is a fundamental challenge in cognitive neuroscience. While current approaches predominantly align images and functional magnetic resonance imaging (fMRI)…

计算机视觉与模式识别 · 计算机科学 2026-05-12 Zihan Ma , Tian Xia , Kexin Wang , Xiao Li , Xiaowei He , Yudan Ren

This survey reviews hyperbolic graph embedding models, and evaluate them on anomaly detection, highlighting their advantages over Euclidean methods in capturing complex structures. Evaluating models like \textit{HGCAE},…

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