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Networks with nodes embedded in a metric space have gained increasing interest in recent years. The effects of spatial embedding on the networks' structural characteristics, however, are rarely taken into account when studying their…

Physics and Society · Physics 2016-07-06 Marc Wiedermann , Jonathan F. Donges , Jürgen Kurths , Reik V. Donner

Network embedding has attracted an increasing attention over the past few years. As an effective approach to solve graph mining problems, network embedding aims to learn a low-dimensional feature vector representation for each node of a…

Social and Information Networks · Computer Science 2020-08-10 Xiao Shen , Fu-Lai Chung

The topology of many real complex networks has been conjectured to be embedded in hidden metric spaces, where distances between nodes encode their likelihood of being connected. Besides of providing a natural geometrical interpretation of…

Physics and Society · Physics 2017-01-23 Antoine Allard , M. Ángeles Serrano , Guillermo García-Pérez , Marián Boguñá

Network data is ubiquitous in various scientific disciplines, including sociology, economics, and neuroscience. Latent space models are often employed in network data analysis, but the geometric effect of latent space curvature remains a…

Methodology · Statistics 2026-02-11 Jinming Li , Gongjun Xu , Ji Zhu

Bipartite networks are widely used to encode the ecological interactions. Being able to compare the organization of bipartite networks is a first step toward a better understanding of how environmental factors shape community structure and…

Machine Learning · Statistics 2025-12-02 Louis Lacoste , Pierre Barbillon , Sophie Donnet

Lying at the interface between Network Science and Machine Learning, node embedding algorithms take a graph as input and encode its structure onto output vectors that represent nodes in an abstract geometric space, enabling various…

Physics and Society · Physics 2025-10-03 Riccardo Milocco , Fabian Jansen , Diego Garlaschelli

Embedding into hyperbolic space is emerging as an effective representation technique for datasets that exhibit hierarchical structure. This development motivates the need for algorithms that are able to effectively extract knowledge and…

Data Structures and Algorithms · Computer Science 2020-09-03 Xian Wu , Moses Charikar

Graph matching consists of aligning the vertices of two unlabeled graphs in order to maximize the shared structure across networks; when the graphs are unipartite, this is commonly formulated as minimizing their edge disagreements. In this…

Machine Learning · Statistics 2021-04-13 Jesús Arroyo , Carey E. Priebe , Vince Lyzinski

Many real-world complex systems are well represented as multilayer networks; predicting interactions in those systems is one of the most pressing problems in predictive network science. To address this challenge, we introduce two stochastic…

Physics and Society · Physics 2019-04-03 Marc Tarres-Deulofeu , Antonia Godoy-Lorite , Roger Guimera , Marta Sales-Pardo

A network embedding is a representation of a large graph in a low-dimensional space, where vertices are modeled as vectors. The objective of a good embedding is to preserve the proximity between vertices in the original graph. This way,…

Artificial Intelligence · Computer Science 2017-01-20 Zhipeng Huang , Nikos Mamoulis

In contrast to regular (simple) networks, hyper networks possess the ability to depict more complex relationships among nodes and store extensive information. Such networks are commonly found in real-world applications, such as in social…

Social and Information Networks · Computer Science 2023-11-08 Shu Liu , Cameron Lai , Fujio Toriumi

Network embedding techniques aim at representing structural properties of graphs in geometric space. Those representations are considered useful in downstream tasks such as link prediction and clustering. However, the number of graph…

Physics and Society · Physics 2021-11-03 Yi-Jiao Zhang , Kai-Cheng Yang , Filippo Radicchi

Node copying is an important mechanism for network formation, yet most models assume uniform copying rules. Motivated by observations of heterogeneous triadic closure in real networks, we introduce the concept of a hidden network model - a…

Physics and Society · Physics 2021-07-27 Max Falkenberg

Link prediction plays an important role in network analysis and applications. Recently, approaches for link prediction have evolved from traditional similarity-based algorithms into embedding-based algorithms. However, most existing…

Social and Information Networks · Computer Science 2020-08-11 Lei Wang , Jing Ren , Bo Xu , Jianxin Li , Wei Luo , Feng Xia

Graph embeddings learn the structure of networks and represent it in low-dimensional vector spaces. Community structure is one of the features that are recognized and reproduced by embeddings. We show that an iterative procedure, in which a…

Physics and Society · Physics 2024-07-30 Bianka Kovács , Sadamori Kojaku , Gergely Palla , Santo Fortunato

Classical network embeddings create a low dimensional representation of the learned relationships between features across nodes. Such embeddings are important for tasks such as link prediction and node classification. In the current paper,…

Artificial Intelligence · Computer Science 2021-03-15 Chris Connell , Yang Wang

Heterogeneous Information Network (HIN) embedding refers to the low-dimensional projections of the HIN nodes that preserve the HIN structure and semantics. HIN embedding has emerged as a promising research field for network analysis as it…

Machine Learning · Computer Science 2021-08-10 Rayyan Ahmad Khan , Martin Kleinsteuber

Bipartite networks provide an insightful representation of many systems, ranging from mutualistic networks of species interactions to investment networks in finance. The analysis of their topological structures has revealed the ubiquitous…

Physics and Society · Physics 2018-07-20 Mika J. Straka , Guido Caldarelli , Tiziano Squartini , Fabio Saracco

This paper introduces a computationally inexpensive method of extracting the backbone of one-mode networks projected from bipartite networks. We show that the edge weights in the one-mode projections are distributed according to a Poisson…

Social and Information Networks · Computer Science 2016-03-22 Jessica Liebig , Asha Rao

We propose a Bayesian methodology for one-mode projecting a bipartite network that is being observed across a series of discrete time steps. The resulting one mode network captures the uncertainty over the presence/absence of each link and…

Machine Learning · Statistics 2012-12-13 Ioannis Psorakis , Iead Rezek , Zach Frankel , Stephen J. Roberts