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Large-scale graphs with node attributes are increasingly common in various real-world applications. Creating synthetic, attribute-rich graphs that mirror real-world examples is crucial, especially for sharing graph data for analysis and…

机器学习 · 计算机科学 2024-10-17 Mufei Li , Eleonora Kreačić , Vamsi K. Potluru , Pan Li

Differential equations are a ubiquitous tool to study dynamics, ranging from physical systems to complex systems, where a large number of agents interact through a graph with non-trivial topological features. Data-driven approximations of…

统计力学 · 物理学 2024-04-26 Vaiva Vasiliauskaite , Nino Antulov-Fantulin

The probabilistic graphs framework models the uncertainty inherent in real-world domains by means of probabilistic edges whose value quantifies the likelihood of the edge existence or the strength of the link it represents. The goal of this…

人工智能 · 计算机科学 2012-05-25 Claudio Taranto , Nicola Di Mauro , Floriana Esposito

As a fundamental structure in real-world networks, in addition to graph topology, communities can also be reflected by abundant node attributes. In attributed community detection, probabilistic generative models (PGMs) have become the…

社会与信息网络 · 计算机科学 2022-05-31 Ren Ren , Jinliang Shao , Adrian N. Bishop , Wei Xing Zheng

Across the sciences, the statistical analysis of networks is central to the production of knowledge on relational phenomena. Because of their ability to model the structural generation of networks, exponential random graph models are a…

数据分析、统计与概率 · 物理学 2015-05-27 Bruce A. Desmarais , Skyler J. Cranmer

We study the network reconstruction problem for an epidemic reaction-diffusion. These models are an extension of deterministic, compartmental models to a graph setting, where the reactions within the nodes are coupled by a diffusion. We…

混沌动力学 · 物理学 2021-09-24 Louis-Brahim Beaufort , Pierre-Yves Massé , Antonin Reboulet , Laurent Oudre

We state the graph-theoretic computational problem of finding tight paths in a directed, edge-weighted graph, as well as its simplification of finding tight pairs. These problems are motivated by the need of algorithms that find so-called…

数据结构与算法 · 计算机科学 2025-06-12 José Luis Balcázar

A key step in influence maximization in online social networks is the identification of a small number of users, known as influencers, who are able to spread influence quickly and widely to other users. The evolving nature of the…

社会与信息网络 · 计算机科学 2021-04-15 Weihua Li , Yuxuan Hu , Shiqing Wu , Quan Bai , Edmund Lai

Predictive uncertainty estimation remains a challenging problem precluding the use of deep neural networks as subsystems within safety-critical applications. Aleatoric uncertainty is a component of predictive uncertainty that cannot be…

机器学习 · 计算机科学 2023-12-12 Angel Daruna , Yunye Gong , Abhinav Rajvanshi , Han-Pang Chiu , Yi Yao

Knowing which nodes are influential in a complex network and whether the network can be influenced by a small subset of nodes is a key part of network analysis. However, many traditional measures of importance focus on node level…

物理与社会 · 物理学 2023-06-27 Niall Rodgers , Peter Tino , Samuel Johnson

Probabilistic graphs are an abstraction that allow us to study randomized propagation in graphs. In a probabilistic graph, each edge is "active" with a certain probability, independent of the other edges. For two vertices $u,v$, a classic…

Introduction: Machine learning provides fundamental tools both for scientific research and for the development of technologies with significant impact on society. It provides methods that facilitate the discovery of regularities in data and…

机器学习 · 计算机科学 2019-03-12 Andrea Ceni , Peter Ashwin , Lorenzo Livi

We identify influential early adopters in a social network, where individuals are resource constrained, to maximize the spread of multiple, costly behaviors. A solution to this problem is especially important for viral marketing. The…

社会与信息网络 · 计算机科学 2017-02-08 Kaushik Sarkar , Hari Sundaram

Influence estimation aims to predict the total influence spread in social networks and has received surged attention in recent years. Most current studies focus on estimating the total number of influenced users in a social network, and…

社会与信息网络 · 计算机科学 2023-08-22 Yingdan Shi , Jingya Zhou , Congcong Zhang

We study the NP-hard Shortest Path Most Vital Edges problem arising in the context of analyzing network robustness. For an undirected graph with positive integer edge lengths and two designated vertices $s$ and $t$, the goal is to delete as…

计算复杂性 · 计算机科学 2018-04-25 Cristina Bazgan , Till Fluschnik , André Nichterlein , Rolf Niedermeier , Maximilian Stahlberg

It is widely acknowledged that the initial spreaders play an important role for the wide spreading of information in complex networks. Thus, a variety of centrality-based methods have been proposed to identify the most influential…

物理与社会 · 物理学 2021-04-15 Leyang Xue , Peng Zhang , An Zeng

Community detection in graphs is the problem of finding groups of vertices which are more densely connected than they are to the rest of the graph. This problem has a long history, but it is undergoing a resurgence of interest due to the…

计算复杂性 · 计算机科学 2017-08-25 Cristopher Moore

With the recent explosion of publicly available biological data, the analysis of networks has gained significant interest. In particular, recent promising results in Neuroscience show that the way neurons and areas of the brain are…

社会与信息网络 · 计算机科学 2015-11-17 Umberto Esposito , Eleni Vasilaki

We study the Telephone Broadcasting problem in graphs with restricted structure. Given a designated source in an undirected graph, the goal is to disseminate a message to all vertices in the minimum number of rounds, where in each round…

数据结构与算法 · 计算机科学 2026-02-16 Jeffrey Bringolf , Hovhannes A. Harutyunyan , Shahin Kamali , Seyed-Mohammad Seyed-Javadi

Inspired by empirical studies of networked systems such as the Internet, social networks, and biological networks, researchers have in recent years developed a variety of techniques and models to help us understand or predict the behavior…

统计力学 · 物理学 2015-06-24 M. E. J. Newman