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We consider the problem of identifying a subset of nodes in a network that will enable the fastest spread of information in a decentralized environment.In a model of communication based on a random walk on an undirected graph, the optimal…

Discrete Mathematics · Computer Science 2014-08-20 Fern Y. Hunt

In this paper, we study the non-monotone adaptive submodular maximization problem subject to a cardinality constraint. We first revisit the adaptive random greedy algorithm proposed in \citep{gotovos2015non}, where they show that this…

Machine Learning · Computer Science 2020-12-16 Shaojie Tang

Influence Maximization is a NP-hard problem of selecting the optimal set of influencers in a network. Here, we propose two new approaches to influence maximization based on two very different metrics. The first metric, termed Balanced Index…

Social and Information Networks · Computer Science 2019-12-02 Panagiotis D. Karampourniotis , Boleslaw K. Szymanski , Gyorgy Korniss

In this paper, we study the Budgeted Influence Maximization with Delay Problem, for which the number of literature are limited. We propose an approximate marginal spread computation\mbox{-}based approach for solving this problem. The…

Social and Information Networks · Computer Science 2020-05-26 Suman Banerjee , Mamata Jenamani , Dilip Kumar Pratihar

Social connections are conduits through which individuals communicate, information propagates, and diseases spread. Identifying individuals who are more likely to adopt ideas and spread them is essential in order to develop effective…

Social and Information Networks · Computer Science 2024-10-31 Vedran Sekara , Ivan Dotu , Manuel Cebrian , Esteban Moro , Manuel Garcia-Herranz

We study the problem of maximizing a submodular function, subject to a cardinality constraint, with a set of agents communicating over a connected graph. We propose a distributed greedy algorithm that allows all the agents to converge to a…

Optimization and Control · Mathematics 2020-09-29 Lintao Ye , Shreyas Sundaram

In a model of network communication based on a random walk in an undirected graph, what subset of nodes (subject to constraints on the set size), enable the fastest spread of information? The dynamics of spread is described by a process…

Discrete Mathematics · Computer Science 2016-02-23 Fern Y. Hunt

The personalization of our news consumption on social media has a tendency to reinforce our pre-existing beliefs instead of balancing our opinions. This finding is a concern for the health of our democracies which rely on an access to…

Social and Information Networks · Computer Science 2019-06-04 Ruben Becker , Federico Corò , Gianlorenzo D'Angelo , Hugo Gilbert

The spread of influence in social networks is studied in two main categories: the progressive model and the non-progressive model (see e.g. the seminal work of Kempe, Kleinberg, and Tardos in KDD 2003). While the progressive models are…

Social and Information Networks · Computer Science 2011-08-03 MohammadAmin Fazli , Mohammad Ghodsi , Jafar Habibi , Pooya Jalaly Khalilabadi , Vahab Mirrokni , Sina Sadeghian Sadeghabad

Efficient marketing or awareness-raising campaigns seek to recruit $n$ influential individuals -- where $n$ is the campaign budget -- that are able to cover a large target audience through their social connections. So far most of the…

Social and Information Networks · Computer Science 2012-12-21 Konstantin Avrachenkov , Prithwish Basu , Giovanni Neglia , Bruno Ribeiro , Don Towsley

The influence maximization (IM) problem aims at finding a subset of seed nodes in a social network that maximize the spread of influence. In this study, we focus on a sub-class of IM problems, where whether the nodes are willing to be the…

Social and Information Networks · Computer Science 2021-06-15 Haipeng Chen , Wei Qiu , Han-Ching Ou , Bo An , Milind Tambe

The Influence Maximization (IM) problem seeks to discover the set of nodes in a graph that can spread the information propagation at most. This problem is known to be NP-hard, and it is usually studied by maximizing the influence (spread)…

Neural and Evolutionary Computing · Computer Science 2024-03-29 Elia Cunegatti , Leonardo Lucio Custode , Giovanni Iacca

In a diffusion process on a network, how many nodes are expected to be influenced by a set of initial spreaders? This natural problem, often referred to as influence estimation, boils down to computing the marginal probability that a given…

Social and Information Networks · Computer Science 2020-01-01 Andrey Y. Lokhov , David Saad

How can we attribute the behaviors of machine learning models to their training data? While the classic influence function sheds light on the impact of individual samples, it often fails to capture the more complex and pronounced collective…

Machine Learning · Computer Science 2025-01-10 Yuzheng Hu , Pingbang Hu , Han Zhao , Jiaqi W. Ma

We study influence maximization on temporal networks. This is a special setting where the influence function is not submodular, and there is no optimality guarantee for solutions achieved via greedy optimization. We perform an exhaustive…

Physics and Society · Physics 2022-09-05 Sirag Erkol , Dario Mazzilli , Filippo Radicchi

We study the online maximum matching problem in a model in which the edges are associated with a known recourse parameter $k$. An online algorithm for this problem has to maintain a valid matching while edges of the underlying graph are…

Data Structures and Algorithms · Computer Science 2021-01-06 Spyros Angelopoulos , Christoph Dürr , Shendan Jin

Influence Maximization (IM) is a crucial problem in data science. The goal is to find a fixed-size set of highly-influential seed vertices on a network to maximize the influence spread along the edges. While IM is NP-hard on commonly-used…

Data Structures and Algorithms · Computer Science 2024-02-06 Letong Wang , Xiangyun Ding , Yan Gu , Yihan Sun

While greedy algorithms have long been observed to perform well on a wide variety of problems, up to now approximation ratios have only been known for their application to problems having submodular objective functions $f$. Since many…

Data Structures and Algorithms · Computer Science 2018-01-16 J. David Smith , My T. Thai

Social networks are commonly used for marketing purposes. For example, free samples of a product can be given to a few influential social network users (or "seed nodes"), with the hope that they will convince their friends to buy it. One…

Social and Information Networks · Computer Science 2019-01-17 Siyu Lei , Silviu Maniu , Luyi Mo , Reynold Cheng , Pierre Senellart

We study the problem of maximizing a stochastic monotone submodular function with respect to a matroid constraint. Due to the presence of diminishing marginal values in real-world problems, our model can capture the effect of stochasticity…

Optimization and Control · Mathematics 2015-05-11 Arash Asadpour , Hamid Nazerzadeh
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