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Related papers: Link prediction with hyperbolic geometry

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We survey some tools and techniques for determining geometric properties of a link complement from a link diagram. In particular, we survey the tools used to estimate geometric invariants in terms of basic diagrammatic link invariants. We…

Geometric Topology · Mathematics 2019-09-27 David Futer , Efstratia Kalfagianni , Jessica S. Purcell

Community detection and link prediction are both of great significance in network analysis, which provide very valuable insights into topological structures of the network from different perspectives. In this paper, we propose a novel…

Social and Information Networks · Computer Science 2017-07-11 Hui-Min Cheng , Yi-Zi Ning , Zhao Yin , Chao Yan , Xin Liu , Zhong-Yuan Zhang

Link prediction has aroused extensive attention since it can both discover hidden connections and predict future links in the networks. Many unsupervised link prediction algorithms have been proposed to find these links in a variety of…

Social and Information Networks · Computer Science 2021-05-10 Jingwei Wang , Yunlong Ma , Yun Yuan

Hyperbolic neural networks have been popular in the recent past due to their ability to represent hierarchical data sets effectively and efficiently. The challenge in developing these networks lies in the nonlinearity of the embedding space…

Machine Learning · Computer Science 2021-12-08 Xiran Fan , Chun-Hao Yang , Baba C. Vemuri

We introduce and explore a new method for inferring hidden geometric coordinates of nodes in complex networks based on the number of common neighbors between the nodes. We compare this approach to the HyperMap method, which is based only on…

Social and Information Networks · Computer Science 2015-08-21 Fragkiskos Papadopoulos , Rodrigo Aldecoa , Dmitri Krioukov

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…

Complex network topologies and hyperbolic geometry seem specularly connected, and one of the most fascinating and challenging problems of recent complex network theory is to map a given network to its hyperbolic space. The Popularity…

Disordered Systems and Neural Networks · Physics 2017-12-08 Josephine Maria Thomas , Alessandro Muscoloni , Sara Ciucci , Ginestra Bianconi , Carlo Vittorio Cannistraci

Link prediction plays an important role in understanding intrinsic evolving mechanisms of networks. With the belief that the likelihood of the existence of a link between two nodes is strongly related with their similarity, many methods…

Physics and Society · Physics 2015-06-18 Xuzhen Zhu , Hui Tian , Shimin Cai , Tao Zhou

We consider the problem of link prediction in networks whose edge structure may vary (sufficiently slowly) over time. This problem, with applications in many important areas including social networks, has two main variants: the first, known…

Optimization and Control · Mathematics 2020-04-30 Daniele Alpago , Mattia Zorzi , Augusto Ferrante

Link prediction is a paradigmatic and challenging problem in network science, which aims to predict missing links, future links and temporal links based on known topology. Along with the increasing number of link prediction algorithms, a…

Social and Information Networks · Computer Science 2024-02-27 Yilin Bi , Xinshan Jiao , Yan-Li Lee , Tao Zhou

Graph embedding methods aim at finding useful graph representations by mapping nodes to a low-dimensional vector space. It is a task with important downstream applications, such as link prediction, graph reconstruction, data visualization,…

Machine Learning · Computer Science 2022-09-13 Said Kerrache , Hafida Benhidour

Link prediction, which consists of predicting edges based on graph features, is a fundamental task in many graph applications. As for several related problems, Graph Neural Networks (GNNs), which are based on an attribute-centric…

Machine Learning · Computer Science 2023-05-24 Zexi Huang , Mert Kosan , Arlei Silva , Ambuj Singh

We present a statistical approach for the discovery of relationships between mathematical entities that is based on linear regression and deep learning with fully connected artificial neural networks. The strategy is applied to…

Geometric Topology · Mathematics 2022-04-28 Daniel Grünbaum

The human brain displays a complex network topology, whose structural organization is widely studied using diffusion tensor imaging. The original geometry from which emerges the network topology is known, as well as the localization of the…

In real-world complex networks, understanding the dynamics of their evolution has been of great interest to the scientific community. Predicting future links is an essential task of social network analysis as the addition or removal of the…

Social and Information Networks · Computer Science 2021-02-02 Akrati Saxena , George Fletcher , Mykola Pechenizkiy

A principled approach to understand network structures is to formulate generative models. Given a collection of models, however, an outstanding key task is to determine which one provides a more accurate description of the network at hand,…

Machine Learning · Statistics 2018-06-29 Toni Vallès-Català , Tiago P. Peixoto , Roger Guimerà , Marta Sales-Pardo

Recent research on network embedding in hyperbolic space have proven successful in several applications. However, nodes in real world networks tend to interact through several distinct channels. Simple aggregation or ignorance of this…

Social and Information Networks · Computer Science 2021-11-02 Peiyuan Sun

Link prediction is a fundamental problem in graph data. In its most realistic setting, the problem consists of predicting missing or future links between random pairs of nodes from the set of disconnected pairs. Graph Neural Networks (GNNs)…

Machine Learning · Computer Science 2024-12-03 João Mattos , Zexi Huang , Mert Kosan , Ambuj Singh , Arlei Silva

Dynamic networks have intrinsic structural, computational, and multidisciplinary advantages. Link prediction estimates the next relationship in dynamic networks. However, in the current link prediction approaches, only bipartite or…

Social and Information Networks · Computer Science 2020-06-09 Mohamoud Ali , Yugyung Lee , Praveen Rao

Link prediction is a widely studied task in Graph Representation Learning (GRL) for modeling relational data. The early theories in GRL were based on the assumption of a symmetric adjacency matrix, reflecting an undirected setting. As a…

Machine Learning · Computer Science 2025-02-24 Jun Zhai , Muberra Ozmen , Thomas Markovich
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