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On signed social networks, balanced and unbalanced triangles are a critical motif due to their role as the foundations of Structural Balance Theory. The uses for these motifs have been extensively explored in networks with known edge signs,…

Data Structures and Algorithms · Computer Science 2026-02-17 Alexander Zhou , Haoyang Li , Anxin Tian , Zhiyuan Li , Yue Wang

A new class of models for dynamic networks is proposed, called mutually exciting point process graphs (MEG). MEG is a scalable network-wide statistical model for point processes with dyadic marks, which can be used for anomaly detection…

Social and Information Networks · Computer Science 2023-10-25 Francesco Sanna Passino , Nicholas A. Heard

Signed networks contain edge annotations to indicate whether each interaction is friendly (positive edge) or antagonistic (negative edge). The model is simple but powerful and it can capture novel and interesting structural properties of…

Data Structures and Algorithms · Computer Science 2019-10-08 Francesco Bonchi , Edoardo Galimberti , Aristides Gionis , Bruno Ordozgoiti , Giancarlo Ruffo

Many real-world relations can be represented by signed networks with positive and negative links, as a result of which signed network analysis has attracted increasing attention from multiple disciplines. With the increasing prevalence of…

Social and Information Networks · Computer Science 2016-06-22 Jiliang Tang , Yi Chang , Charu Aggarwal , Huan Liu

We propose a family of models to study the evolution of ties in a network of interacting agents by reinforcement and penalization of their connections according to certain local laws of interaction. The family of stochastic dynamical…

Physics and Society · Physics 2016-06-01 Augusto Almeida Santos , Soummya Kar , Ramayya Krishnan , José M. F. Moura

Social network interference induces complex dependencies where a unit's outcome is influenced not only by its own exposure and mediator but also by those of connected neighbors. In such settings, a significant challenge lies in…

Methodology · Statistics 2026-03-03 Ritoban Kundu , Peter X. K. Song

Graph or network data is ubiquitous in the real world, including social networks, information networks, traffic networks, biological networks and various technical networks. The non-Euclidean nature of graph data poses the challenge for…

Social and Information Networks · Computer Science 2019-09-06 Junjie Huang , Huawei Shen , Liang Hou , Xueqi Cheng

Exponential random graph models (ERGMs) are flexible probabilistic frameworks to model statistical networks through a variety of network summary statistics. Conventional Bayesian estimation for ERGMs involves iteratively exchanging with an…

Methodology · Statistics 2025-04-15 Yefeng Fan , Simon White

In this paper, a novel strategy of Secure Steganograpy based on Generative Adversarial Networks is proposed to generate suitable and secure covers for steganography. The proposed architecture has one generative network, and two…

Computer Vision and Pattern Recognition · Computer Science 2018-11-27 Haichao Shi , Jing Dong , Wei Wang , Yinlong Qian , Xiaoyu Zhang

This chapter discusses the interplay between structure and dynamics in complex networks. Given a particular network with an endowed dynamics, our goal is to find partitions aligned with the dynamical process acting on top of the network. We…

Social and Information Networks · Computer Science 2020-05-08 Michael T. Schaub , Jean-Charles Delvenne , Renaud Lambiotte , Mauricio Barahona

Random graphs are more and more used for modeling real world networks such as evolutionary networks of proteins. For this purpose we look at two different models and analyze how properties like connectedness and degree distributions are…

Probability · Mathematics 2019-02-05 Klemens Taglieber , Uta Freiberg

Deterministic complex networks that use iterative generation algorithms have been found to more closely mirror properties found in real world networks than the traditional uniform random graph models. In this paper we introduce a new,…

Combinatorics · Mathematics 2022-09-05 Erin Meger , Abigail Raz

We propose a generalized stochastic block model to explore the mesoscopic structures in signed networks by grouping vertices that exhibit similar positive and negative connection profiles into the same cluster. In this model, the group…

Social and Information Networks · Computer Science 2015-06-17 Jonathan Q. Jiang

Signed networks, characterized by edges labeled as either positive or negative, offer nuanced insights into interaction dynamics beyond the capabilities of unsigned graphs. Central to this is the task of identifying the maximum balanced…

Social and Information Networks · Computer Science 2024-06-18 Jingbang Chen , Qiuyang Mang , Hangrui Zhou , Richard Peng , Yu Gao , Chenhao Ma

Signed networks contain both positive and negative kinds of interactions like friendship and enmity. The task of node classification in non-signed graphs has proven to be beneficial in many real world applications, yet extensions to signed…

Social and Information Networks · Computer Science 2019-08-07 Pedro Mercado , Jessica Bosch , Martin Stoll

Exponential Random Graph Models (ERGMs) are an inferential model for analysing statistical networks. Recent development in ERGMs uses hierarchical Bayesian setup to jointly model a group of networks, which is called a multiple-network…

Methodology · Statistics 2025-06-06 Yefeng Fan , Simon Richard White

While node semantics have been extensively explored in social networks, little research attention has been paid to profile edge semantics, i.e., social relations. Ideal edge semantics should not only show that two users are connected, but…

Social and Information Networks · Computer Science 2019-11-14 Carl Yang , Jieyu Zhang , Haonan Wang , Sha Li , Myungwan Kim , Matt Walker , Yiou Xiao , Jiawei Han

Ensembles of networks arise in various fields where multiple independent networks are observed on the same set of nodes, for example, a collection of brain networks constructed on the same brain regions for different individuals. However,…

Methodology · Statistics 2022-01-21 Sa Ren , Xue Wang , Peng Liu , Jian Zhang

Network models are widely used to represent relational information among interacting units and the structural implications of these relations. Recently, social network studies have focused a great deal of attention on random graph models of…

Applications · Statistics 2010-10-06 Mark S. Handcock , Krista J. Gile

The paper introduces a Signed Generalized Random Dot Product Graph (SGRDPG) model, which is a variant of the Generalized Random Dot Product Graph (GRDPG), where, in addition, edges can be positive or negative. The setting is extended to a…

Social and Information Networks · Computer Science 2025-07-14 Marianna Pensky