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We present a GPU-accelerated proximal message passing algorithm for large-scale network utility maximization (NUM). NUM is a fundamental problem in resource allocation, where resources are allocated across various streams in a network to…

Optimization and Control · Mathematics 2025-09-16 Akshay Sreekumar , Anthony Degleris , Ram Rajagopal

In many real-world scenarios, an individual's local social network carries significant influence over the opinions they form and subsequently propagate. In this paper, we propose a novel diffusion model -- the Pressure Threshold model (PT)…

Social and Information Networks · Computer Science 2026-04-03 Curt Stutsman , Eliot W. Robson , Abhishek K. Umrawal

Identifying influential nodes is crucial in social network analysis. Existing methods often neglect local opinion leader tendencies, resulting in overlapping influence ranges for seed nodes. Furthermore, approaches based on vanilla graph…

Social and Information Networks · Computer Science 2025-08-15 Ronghua Lin , Runbin Yao , Yijia Wang , Junjie Lin , Zhengyang Wu , Yong Tang

The Influence Maximization (IM) problem aims to find a small set of influential users to maximize their influence spread in a social network. Traditional methods rely on fixed diffusion models with known parameters, limiting their…

Social and Information Networks · Computer Science 2026-04-15 Hongliang Qiao , Shanshan Feng , Min Zhou , Xutao Li , Yunming Ye , Fan Li , Shuo Shang , Yew-Soon Ong

In VLSI physical design, many algorithms require the solution of difficult combinatorial optimization problems such as max/min-cut, max-flow problems etc. Due to the vast number of elements typically found in this problem domain, these…

Computational Physics · Physics 2019-03-18 Chase Cook , Hengyang Zhao , Takashi Sato , Masayuki Hiromoto , Sheldon X. -D. Tan

Link recommendation systems in online social networks (OSNs), such as Facebook's ``People You May Know'', Twitter's ``Who to Follow'', and Instagram's ``Suggested Accounts'', facilitate the formation of new connections among users. This…

Social and Information Networks · Computer Science 2024-03-01 Xiaolong Chen , Yifan Song , Jing Tang

Social networks represent nowadays in many contexts the main source of information transmission and the way opinions and actions are influenced. For instance, generic advertisements are way less powerful than suggestions from our contacts.…

Neural and Evolutionary Computing · Computer Science 2021-05-03 Kateryna Konotopska , Giovanni Iacca

Diffusion is a fundamental graph process, underpinning such phenomena as epidemic disease contagion and the spread of innovation by word-of-mouth. We address the algorithmic problem of finding a set of k initial seed nodes in a network so…

Data Structures and Algorithms · Computer Science 2016-06-23 Christian Borgs , Michael Brautbar , Jennifer Chayes , Brendan Lucier

Feature-based image matching has extensive applications in computer vision. Keypoints detected in images can be naturally represented as graph structures, and Graph Neural Networks (GNNs) have been shown to outperform traditional deep…

Computer Vision and Pattern Recognition · Computer Science 2025-08-29 Xianfeng Song , Yi Zou , Zheng Shi , Zheng Liu

Influence Maximization (IM) in temporal graphs focuses on identifying influential "seeds" that are pivotal for maximizing network expansion. We advocate defining these seeds through Influence Propagation Paths (IPPs), which is essential for…

Social and Information Networks · Computer Science 2025-04-16 Laixin Xie , Ying Zhang , Xiyuan Wang , Shiyi Liu , Shenghan Gao , Xingxing Xing , Wei Wan , Haipeng Zhang , Quan Li

The recent work ``Combinatorial Optimization with Physics-Inspired Graph Neural Networks'' [Nat Mach Intell 4 (2022) 367] introduces a physics-inspired unsupervised Graph Neural Network (GNN) to solve combinatorial optimization problems on…

Machine Learning · Computer Science 2023-01-04 Maria Chiara Angelini , Federico Ricci-Tersenghi

Influence maximization (IM) aims to select a small number of nodes that are able to maximize their influence in a network and covers a wide range of applications. Despite numerous attempts to provide effective solutions in ordinary…

Physics and Society · Physics 2023-10-25 Ming Xie , Xiu-Xiu Zhan , Chuang Liu , Zi-Ke Zhang

In this paper, we study the problem of robust influence maximization in the independent cascade model under a hyperparametric assumption. In social networks users influence and are influenced by individuals with similar characteristics and…

Machine Learning · Computer Science 2019-05-14 Dimitris Kalimeris , Gal Kaplun , Yaron Singer

Online social networks have become an important platform for people to communicate, share knowledge and disseminate information. Given the widespread usage of social media, individuals' ideas, preferences and behavior are often influenced…

Social and Information Networks · Computer Science 2023-09-12 Hui Li , Susu Yang , Mengting Xu , Sourav S Bhowmick , Jiangtao Cui

Maximizing influences in complex networks is a practically important but computationally challenging task for social network analysis, due to its NP- hard nature. Most current approximation or heuristic methods either require tremendous…

Social and Information Networks · Computer Science 2023-09-15 Changan Liu , Changjun Fan , Zhongzhi Zhang

Dynamic influence maximization problem (DIMP) aims to maintain a group of influential users within an evolving social network, so that the influence scope can be maximized at any given moment. A primary category of DIMP algorithms focuses…

Social and Information Networks · Computer Science 2023-11-28 Shaofeng Zhang , Shengcai Liu , Ke Tang

Ising computing provides a new computing paradigm for many hard combinatorial optimization problems. Ising computing essentially tries to solve the quadratic unconstrained binary optimization problem, which is also described by the Ising…

Emerging Technologies · Computer Science 2019-08-02 Chase Cook , Wentian Jin , Sheldon X. -D. Tan

The graph-based invariant set (GIS) algorithm is a promising set-based technique for computing the largest (with respect to inclusion) control invariant set of general discrete-time nonlinear dynamical systems. However, like other invariant…

Systems and Control · Electrical Eng. & Systems 2022-02-15 Benjamin Decardi-Nelsona , Jinfeng Liu

Influence Maximization (IM) is vital in viral marketing and biological network analysis for identifying key influencers. Given its NP-hard nature, approximate solutions are employed. This paper addresses scalability challenges in scale-out…

Distributed, Parallel, and Cluster Computing · Computer Science 2024-11-15 Hanjiang Wu , Huan Xu , Joongun Park , Jesmin Jahan Tithi , Fabio Checconi , Jordi Wolfson-Pou , Fabrizio Petrini , Tushar Krishna

The blooming availability of traces for social, biological, and communication networks opens up unprecedented opportunities in analyzing diffusion processes in networks. However, the sheer sizes of the nowadays networks raise serious…

Data Structures and Algorithms · Computer Science 2017-09-13 Hung T. Nguyen , Tri P. Nguyen , NhatHai Phan , Thang N. Dinh