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Recently, there has been an interest in embedding networks in hyperbolic space, since hyperbolic space has been shown to work well in capturing graph/network structure as it can naturally reflect some properties of complex networks.…

Social and Information Networks · Computer Science 2020-11-04 Lili Wang , Ying Lu , Chenghan Huang , Soroush Vosoughi

Finding meaningful representations and distances of hierarchical data is important in many fields. This paper presents a new method for hierarchical data embedding and distance. Our method relies on combining diffusion geometry, a central…

Machine Learning · Computer Science 2023-05-31 Ya-Wei Eileen Lin , Ronald R. Coifman , Gal Mishne , Ronen Talmon

Bipartite graphs, representing two-mode networks, arise in many research fields. These networks have two disjoint node sets representing distinct entity types, for example persons and groups, with edges representing associations between the…

Methodology · Statistics 2025-08-08 Alex Stivala , Peng Wang , Alessandro Lomi

Bipartite graphs are a prevalent modeling tool for real-world networks, capturing interactions between vertices of two different types. Within this framework, bicliques emerge as crucial structures when studying dense subgraphs: they are…

Data Structures and Algorithms · Computer Science 2024-05-27 Alexis Baudin , Clémence Magnien , Lionel Tabourier

Most real-world networks are embedded in latent geometries. If a node in a network is found in the vicinity of another node in the latent geometry, the two nodes have a disproportionately high probability of being connected by a link. The…

Physics and Society · Physics 2024-06-19 Bukyoung Jhun

A fundamental challenge of bipartite graph representation learning is how to extract informative node embeddings. Self-Supervised Learning (SSL) is a promising paradigm to address this challenge. Most recent bipartite graph SSL methods are…

Machine Learning · Computer Science 2024-02-13 Baoyu Jing , Yuchen Yan , Kaize Ding , Chanyoung Park , Yada Zhu , Huan Liu , Hanghang Tong

Real networks often form interacting parts of larger and more complex systems. Examples can be found in different domains, ranging from the Internet to structural and functional brain networks. Here, we show that these multiplex systems are…

Physics and Society · Physics 2017-09-11 Kaj-Kolja Kleineberg , Marian Boguna , M. Angeles Serrano , Fragkiskos Papadopoulos

Recently bipartite graphs have been widely used to represent the relationship two sets of items for information retrieval applications. The Web offers a wide range of data which can be represented by bipartite graphs, such us movies and…

Information Retrieval · Computer Science 2015-07-21 Antonia Korba

Bipartite networks, which encode interactions between two distinct types of entities, arise widely in applications and exhibit inherent asymmetry across node sets. Despite a growing literature on bipartite community detection, estimating…

Methodology · Statistics 2026-05-18 Bokai Yang , Yuanxing Chen , Yuhong Yang

Network embedding has recently emerged as a promising technique to embed nodes of a network into low-dimensional vectors. While fairly successful, most existing works focus on the embedding techniques for static networks. But in practice,…

Social and Information Networks · Computer Science 2020-10-28 Zenan Xu , Zijing Ou , Qinliang Su , Jianxing Yu , Xiaojun Quan , Zhenkun Lin

Geometry can be used to explain many properties commonly observed in real networks. It is therefore often assumed that real networks, especially those with high average local clustering, live in an underlying hidden geometric space.…

Physics and Society · Physics 2024-04-11 J. van der Kolk , M. Á. Serrano , M. Boguñá

In bipartite networks, community structures are restricted to being disassortative, in that nodes of one type are grouped according to common patterns of connection with nodes of the other type. This makes the stochastic block model (SBM),…

Physics and Society · Physics 2020-09-30 Tzu-Chi Yen , Daniel B. Larremore

A remarkable approach for grasping the relevant statistical features of real networks with the help of random graphs is offered by hyperbolic models, centred around the idea of placing nodes in a low-dimensional hyperbolic space, and…

Physics and Society · Physics 2021-09-17 Bianka Kovács , Gergely Palla

This work presents a model that allows the study of research specialties through the manifestations of the specialty's social and epistemological processes in a collection of journal papers. Collections of papers are modeled as coupled…

Physics and Society · Physics 2007-05-23 Steven. A. Morris , Gary G. Yen

Networks are widely used in the biological, physical, and social sciences as a concise mathematical representation of the topology of systems of interacting components. Understanding the structure of these networks is one of the outstanding…

Data Analysis, Statistics and Probability · Physics 2007-06-21 M. E. J. Newman , E. A. Leicht

Political corruption is inherently an affiliation process linking agents to corruption cases; yet it is often studied via one-mode projections that connect co-offenders within the same scandal, implying a loss of information that…

Physics and Society · Physics 2026-01-14 Monica V. Prates , Arthur A. B. Pessa , Sebastian Goncalves , Matjaz Perc , Haroldo V. Ribeiro

While network science has become an indispensable tool for studying complex systems, the conventional use of pairwise links often shows limitations in describing high-order interactions properly. Hypergraphs, where each edge can connect…

Physics and Society · Physics 2024-12-20 Zhao Li , Jing Zhang , Jiqiang Zhang , Guozhong Zheng , Weiran Cai , Li Chen

The statistical analysis of the structure of bipartite ecological networks has increased in importance in recent years. Yet, both algorithms and software packages for the analysis of network structure focus on properties of unipartite…

Quantitative Methods · Quantitative Biology 2014-07-18 Cesar O. Flores , Timothée Poisot , Sergi Valverde , Joshua S. Weitz

Multidimensional scaling visualizes dissimilarities among objects and reduces data dimensionality. While many methods address symmetric proximity data, asymmetric and especially three-way proximity data (capturing relationships across…

Methodology · Statistics 2025-11-21 Aleix Alcacer , Rafael Benitez , Vicente J. Bolos , Irene Epifanio

This paper introduces a new methodology to analyse bipartite and unipartite networks with nonnegative edge values. The proposed approach combines and adapts a number of ideas from the literature on latent variable network models. The…

Methodology · Statistics 2018-08-29 Riccardo Rastelli