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The analysis of networks characterized by links with heterogeneous intensity or weight suffers from two long-standing problems of arbitrariness. On one hand, the definitions of topological properties introduced for binary graphs can be…

Data Analysis, Statistics and Probability · Physics 2014-04-28 Diego Garlaschelli , Sebastian E. Ahnert , Thomas M. A. Fink , Guido Caldarelli

A key feature of neural network architectures is their ability to support the simultaneous interaction among large numbers of units in the learning and processing of representations. However, how the richness of such interactions trades off…

Given a signed social graph, how can we learn appropriate node representations to infer the signs of missing edges? Signed social graphs have received considerable attention to model trust relationships. Learning node representations is…

Machine Learning · Computer Science 2020-12-29 Jinhong Jung , Jaemin Yoo , U Kang

Link sign prediction on a signed graph is a task to determine whether the relationship represented by an edge is positive or negative. Since the presence of negative edges violates the graph homophily assumption that adjacent nodes are…

Machine Learning · Computer Science 2026-03-06 Jinkyu Sung , Myunggeum Jee , Joonseok Lee

Network reliability measures the probability that a target node is reachable from a source node in an uncertain graph, i.e., a graph where every edge is associated with a probability of existence. In this paper, we investigate the novel and…

Databases · Computer Science 2020-05-26 Xiangyu Ke , Arijit Khan , Mohammad Al Hasan , Rojin Rezvansangsari

The notions of $r$-robustness and $(r,s)$-robustness of a network have been earlier introduced in the literature to achieve resilient consensus in the presence of misbehaving agents. However, while higher robustness levels enable networks…

Systems and Control · Electrical Eng. & Systems 2026-03-02 Haejoon Lee , Dimitra Panagou

Network inference is the process of deciding what is the true unknown graph underlying a set of interactions between nodes. There is a vast literature on the subject, but most known methods have an important drawback: the inferred graph is…

Social and Information Networks · Computer Science 2023-02-03 Effrosyni Papanastasiou , Anastasios Giovanidis

In this paper, the investigation is first motivated by showing two examples of simple regular symmetrical graphs, which have the same structural parameters, such as average distance, degree distribution and node betweenness centrality, but…

Combinatorics · Mathematics 2007-06-21 Zhisheng Duan , Guanrong Chen , Lin Huang

We propose a friend recommendation system (an application of link prediction) using edge embeddings on social networks. Most real-world social networks are multi-graphs, where different kinds of relationships (e.g. chat, friendship) are…

Social and Information Networks · Computer Science 2019-02-11 Janu Verma , Srishti Gupta , Debdoot Mukherjee , Tanmoy Chakraborty

Suppose there is a spreading process such as an infectious disease propagating on a graph. How would we reduce the number of affected nodes in the spreading process? This question appears in recent studies about implementing mobility…

Social and Information Networks · Computer Science 2023-03-17 Dongyue Li , Tina Eliassi-Rad , Hongyang R. Zhang

Many network analysis and graph learning techniques are based on models of random walks which require to infer transition matrices that formalize the underlying stochastic process in an observed graph. For weighted graphs, it is common to…

Methodology · Statistics 2022-10-28 Vincenzo Perri , Luka V. Petrović , Ingo Scholtes

We address the problem of distributed state estimation of a linear dynamical process in an attack-prone environment. Recent attempts to solve this problem impose stringent redundancy requirements on the measurement and communication…

Systems and Control · Electrical Eng. & Systems 2020-01-22 Aritra Mitra , Faiq Ghawash , Shreyas Sundaram , Waseem Abbas

Understanding emotional processing in the human brain requires examining the complex interactions between different brain regions. While previous studies have identified specific regions involved in emotion processing, a holistic network…

Neurons and Cognition · Quantitative Biology 2024-12-13 Sepehr Gourabi , Parinaz Khosravani , Shahrzad Nosrat , Roya Mohammadi , Masoud Lotfalipour

Traditional network analysis focuses on binary edges, while real-world relationships are more nuanced, encompassing cooperation, neutrality, and conflict. The rise of negative edges in social media discussions spurred interest in analyzing…

Social and Information Networks · Computer Science 2026-02-03 Marc Schalberger , Cornelius Fritz

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

In social network, a person located at the periphery region (marginal node) is likely to be treated unfairly when compared with the persons at the center. While existing fairness works on graphs mainly focus on protecting sensitive…

Machine Learning · Computer Science 2023-10-24 Xiaotian Han , Kaixiong Zhou , Ting-Hsiang Wang , Jundong Li , Fei Wang , Na Zou

Distributed quantized weight-balancing and average consensus over fixed digraphs are considered. A digraph with non-negative weights associated to its edges is weight-balanced if, for each node, the sum of the weights of its out-going edges…

Optimization and Control · Mathematics 2018-09-19 Chang-Shen Lee , Nicolò Michelusi , Gesualdo Scutari

Network visualization is essential for many scientific, societal, technological and artistic domains. The primary goal is to highlight patterns out of nodes interconnected by edges that are easy to understand, facilitate communication and…

Physics and Society · Physics 2024-06-18 Fabrizio De Vico Fallani , Thibault Rolland

To capture the systemic complexity of international financial systems, network data is an important prerequisite. However, dyadic data is often not available, raising the need for methods that allow for reconstructing networks based on…

Applications · Statistics 2019-09-05 Michael Lebacher , Samantha Cook , Nadja Klein , Göran Kauermann

Clique is one of the most fundamental models for cohesive subgraph mining in network analysis. Existing clique model mainly focuses on unsigned networks. However, in real world, many applications are modeled as signed networks with positive…

Data Structures and Algorithms · Computer Science 2022-04-04 Zi Chen , Long Yuan , Xuemin Lin , Lu Qin , Wenjie Zhang
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