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A large number of complex systems find a natural abstraction in the form of weighted networks whose nodes represent the elements of the system and the weighted edges identify the presence of an interaction and its relative strength. In…

Physics and Society · Physics 2009-04-23 M. Angeles Serrano , Marian Boguna , Alessandro Vespignani

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

Understanding the evolutionary patterns of real-world evolving complex systems such as human interactions, transport networks, biological interactions, and computer networks has important implications in our daily lives. Predicting future…

Machine Learning · Computer Science 2020-08-19 Khushnood Abbas , Alireza Abbasi , Dong Shi , Niu Ling , Mingsheng Shang , Chen Liong , Bolun Chen

Clustering is a fundamental task in network analysis, essential for uncovering hidden structures within complex systems. Edge clustering, which focuses on relationships between nodes rather than the nodes themselves, has gained increased…

Computation · Statistics 2025-07-14 Haomin Li , Daniel K. Sewell

PageRank (PR) is a fundamental tool for assessing the relative importance of the nodes in a network. In this paper, we propose a measure, weighted PageRank (WPR), extended from the classical PR for weighted, directed networks with possible…

Physics and Society · Physics 2021-05-18 Panpan Zhang , Tiandong Wang , Jun Yan

Bias in datasets can be very detrimental for appropriate statistical estimation. In response to this problem, importance weighting methods have been developed to match any biased distribution to its corresponding target unbiased…

Machine Learning · Computer Science 2022-09-12 Antoine de Mathelin , Francois Deheeger , Mathilde Mougeot , Nicolas Vayatis

Learning representations of nodes in a low dimensional space is a crucial task with many interesting applications in network analysis, including link prediction and node classification. Two popular approaches for this problem include matrix…

Social and Information Networks · Computer Science 2019-09-11 Abdulkadir Çelikkanat , Fragkiskos D. Malliaros

Time series has attracted a lot of attention in many fields today. Time series forecasting algorithm based on complex network analysis is a research hotspot. How to use time series information to achieve more accurate forecasting is a…

Social and Information Networks · Computer Science 2022-08-23 Tianxiang Zhan , Fuyuan Xiao

Weight thresholding is a simple technique that aims at reducing the number of edges in weighted networks that are otherwise too dense for the application of standard graph theoretical methods. We show that the group structure of real…

Physics and Society · Physics 2018-10-17 Xiaoran Yan , Lucas G. S. Jeub , Alessandro Flammini , Filippo Radicchi , Santo Fortunato

A weighted directed network (WDN) is a directed graph in which each edge is associated to a unique value called weight. These networks are very suitable for modeling real-world social networks in which there is an assessment of one vertex…

Social and Information Networks · Computer Science 2020-10-01 Dong Quan Ngoc Nguyen , Lin Xing , Lizhen Lin

In many studies, it is common to use binary (i.e., unweighted) edges to examine networks of entities that are either adjacent or not adjacent. Researchers have generalized such binary networks to incorporate edge weights, which allow one to…

Physics and Society · Physics 2024-02-29 Lucas Böttcher , Mason A. Porter

Node classification in graphs aims to predict the categories of unlabeled nodes by utilizing a small set of labeled nodes. However, weighted graphs often contain noisy edges and anomalous edge weights, which can distort fine-grained…

Machine Learning · Computer Science 2025-04-01 Tingting Wang , Jiaxin Su , Haobing Liu , Ruobing Jiang

How can we estimate the importance of nodes in a knowledge graph (KG)? A KG is a multi-relational graph that has proven valuable for many tasks including question answering and semantic search. In this paper, we present GENI, a method for…

Machine Learning · Computer Science 2019-06-18 Namyong Park , Andrey Kan , Xin Luna Dong , Tong Zhao , Christos Faloutsos

Assessing the statistical significance of network patterns is crucial for understanding whether such patterns indicate the presence of interesting network phenomena, or whether they simply result from less interesting processes, such as…

Methodology · Statistics 2021-09-21 James A. Scott , Axel Gandy

Understanding and quantifying node importance is a fundamental problem in network science and engineering, underpinning a wide range of applications such as influence maximization, social recommendation, and network dismantling. Prior…

Social and Information Networks · Computer Science 2026-02-17 Jiahui Gao , Kuang Zhou , Yuchen Zhu , Keyu Wu

We consider the setting where many networks are observed on a common node set, and each observation comprises edge weights of a network, covariates observed at each node, and an overall response. The goal is to use the edge weights and node…

Methodology · Statistics 2023-08-23 Daniel Kessler , Keith Levin , Elizaveta Levina

In the information overloaded web, personalized recommender systems are essential tools to help users find most relevant information. The most heavily-used recommendation frameworks assume user interactions that are characterized by a…

Information Retrieval · Computer Science 2017-03-06 Fatemeh Vahedian , Robin Burke , Bamshad Mobasher

In complex networks, especially social networks, networks could be divided into disjoint partitions that the ratio between the number of internal edges (the edges between the vertices within same partition) to the number of outer edges…

Social and Information Networks · Computer Science 2019-02-07 Hamid Shahrivari Joghan , Alireza Bagheri , Meysam Azad

Identifying the importance of nodes of complex networks is of interest to the research of Social Networks, Biological Networks etc.. Current researchers have proposed several measures or algorithms, such as betweenness, PageRank and HITS…

Social and Information Networks · Computer Science 2012-11-26 Bojin Zheng , Deyi Li , Guisheng Chen , Wenhua Du , Jianmin Wang

This paper proposes a discrimination technique for vertices in a weighted network. We assume that the edge weights and adjacencies in the network are conditionally independent and that both sources of information encode class membership…

Machine Learning · Statistics 2019-06-10 Hayden Helm , Joshua Vogelstein , Carey Priebe