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The arrangement of network nodes in hyperbolic spaces has become a widely studied problem, motivated by numerous results suggesting the existence of hidden metric spaces behind the structure of complex networks. Although several methods…

Physics and Society · Physics 2023-02-06 Bianka Kovács , Gergely Palla

Embedding a network in hyperbolic space can reveal interesting features for the network structure, especially in terms of self-similar characteristics. The hidden metric space, which can be thought of as the underlying structure of the…

Image fusion synthesizes complementary information from multiple sources, mitigating the inherent limitations of unimodal imaging systems. Accurate image registration is essential for effective multi-source data fusion. However, existing…

Computer Vision and Pattern Recognition · Computer Science 2026-03-23 Timing Li , Bing Cao , Jiahe Feng , Haifang Cao , Qinghau Hu , Pengfei Zhu

Entity Resolution (ER) is a constitutional part for integrating different knowledge graphs in order to identify entities referring to the same real-world object. A promising approach is the use of graph embeddings for ER in order to…

Machine Learning · Computer Science 2021-01-18 Daniel Obraczka , Jonathan Schuchart , Erhard Rahm

Within the realm of advanced code retrieval, existing methods have primarily relied on intricate matching and attention-based mechanisms. However, these methods often lead to computational and memory inefficiencies, posing a significant…

Software Engineering · Computer Science 2023-08-30 Xunzhu Tang , zhenghan Chen , Saad Ezzini , Haoye Tian , Yewei Song , Jacques Klein , Tegawende F. Bissyande

We introduce HYPERPOSE, a novel 3D human pose estimation framework that performs spatio-temporal reasoning entirely within the Lorentz model of hyperbolic space $\mathbb{H}^d$ to natively preserve the hierarchical tree topology of the human…

Computer Vision and Pattern Recognition · Computer Science 2026-05-18 Vinduja Thekkath , Ashish Musale , Ajay Waghumbare , Upasna Singh

Hypergraphs are useful mathematical representations of overlapping and nested subsets of interacting units, including groups of genes or brain regions, economic cartels, political or military coalitions, and groups of products that are…

Methodology · Statistics 2026-02-03 Cornelius Fritz , Yubai Yuan , Michael Schweinberger

Clustering is a fundamental unsupervised learning task for uncovering patterns in data. While Gaussian Blurring Mean Shift (GBMS) has proven effective for identifying arbitrarily shaped clusters in Euclidean space, it struggles with…

Machine Learning · Computer Science 2025-12-15 Arghya Pratihar , Arnab Seal , Swagatam Das , Inesh Chattopadhyay

LiDAR relocalization has attracted increasing attention as it can deliver accurate 6-DoF pose estimation in complex 3D environments. Recent learning-based regression methods offer efficient solutions by directly predicting global poses…

Computer Vision and Pattern Recognition · Computer Science 2026-04-14 Jianshi Wu , Minghang Zhu , Dunqiang Liu , Wen Li , Sheng Ao , Siqi Shen , Chenglu Wen , Cheng Wang

Place embeddings generated from human mobility trajectories have become a popular method to understand the functionality of places. Place embeddings with high spatial resolution are desirable for many applications, however, downscaling the…

Machine Learning · Computer Science 2020-02-07 Toru Shimizu , Takahiro Yabe , Kota Tsubouchi

We prove an exponential separation in sample complexity between Euclidean and hyperbolic representations for learning on hierarchical data under standard Lipschitz regularization. For depth-$R$ hierarchies with branching factor $m$, we…

Machine Learning · Statistics 2026-01-29 Divit Rawal , Sriram Vishwanath

Recent years brought advancements in using neural networks for representation learning of various language or visual phenomena. New methods freed data scientists from hand-crafting features for common tasks. Similarly, problems that require…

Machine Learning · Computer Science 2023-04-28 Kacper Leśniara , Piotr Szymański

Generalized Category Discovery (GCD) is an intriguing open-world problem that has garnered increasing attention. Given a dataset that includes both labelled and unlabelled images, GCD aims to categorize all images in the unlabelled subset,…

Computer Vision and Pattern Recognition · Computer Science 2025-04-09 Yuanpei Liu , Zhenqi He , Kai Han

Geolocation, the task of identifying an image's location, requires complex reasoning and is crucial for navigation, monitoring, and cultural preservation. However, current methods often produce coarse, imprecise, and non-interpretable…

Computer Vision and Pattern Recognition · Computer Science 2026-01-07 Zirui Song , Jingpu Yang , Yuan Huang , Jonathan Tonglet , Zeyu Zhang , Tao Cheng , Meng Fang , Iryna Gurevych , Xiuying Chen

The problem of identifying geometric structure in heterogeneous, high-dimensional data is a cornerstone of representation learning. While there exists a large body of literature on the embeddability of canonical graphs, such as lattices or…

Machine Learning · Computer Science 2019-10-15 Melanie Weber

Temporal link prediction, aiming to predict future edges between paired nodes in a dynamic graph, is of vital importance in diverse applications. However, existing methods are mainly built upon uniform Euclidean space, which has been found…

Machine Learning · Computer Science 2023-05-04 Qijie Bai , Changli Nie , Haiwei Zhang , Dongming Zhao , Xiaojie Yuan

Determining the location of an image anywhere on Earth is a complex visual task, which makes it particularly relevant for evaluating computer vision algorithms. Yet, the absence of standard, large-scale, open-access datasets with reliably…

Recent studies have demonstrated the potential of hyperbolic geometry for capturing complex patterns from interaction data in recommender systems. In this work, we introduce a novel hyperbolic recommendation model that uses geometrical…

Information Retrieval · Computer Science 2025-08-19 Viacheslav Yusupov , Maxim Rakhuba , Evgeny Frolov

Many complex systems involve interactions between more than two agents. Hypergraphs capture these higher-order interactions through hyperedges that may link more than two nodes. We consider the problem of embedding a hypergraph into…

Social and Information Networks · Computer Science 2023-01-06 Xue Gong , Desmond J. Higham , Konstantinos Zygalakis

Vision-language pretraining on large datasets of images-text pairs is one of the main building blocks of current Vision-Language Models. While with additional training, these models excel in various downstream tasks, including visual…

Computer Vision and Pattern Recognition · Computer Science 2025-05-06 Madhukar Reddy Vongala , Saurabh Srivastava , Jana Košecká
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