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Chance constraints are frequently used to limit the probability of constraint violations in real-world optimization problems where the constraints involve stochastic components. We study chance-constrained submodular optimization problems,…

Optimization and Control · Mathematics 2023-09-27 Xiankun Yan , Anh Viet Do , Feng Shi , Xiaoyu Qin , Frank Neumann

In this paper we consider a generalization of the well-known budgeted maximum coverage problem. We are given a ground set of elements and a set of bins. The goal is to find a subset of elements along with an associated set of bins, such…

Data Structures and Algorithms · Computer Science 2018-08-10 Francesco Cellinese , Gianlorenzo D'Angelo , Gianpiero Monaco , Yllka Velaj

Influence propagation in networks has enjoyed fruitful applications and has been extensively studied in literature. However, only very limited preliminary studies tackled the challenges in handling highly dynamic changes in real networks.…

Social and Information Networks · Computer Science 2018-03-06 Yu Yang , Zhefeng Wang , Tianyuan Jin , Jian Pei , Enhong Chen

In this work, we propose a novel optimization model termed "sum-of-minimum" optimization. This model seeks to minimize the sum or average of $N$ objective functions over $k$ parameters, where each objective takes the minimum value of a…

Optimization and Control · Mathematics 2024-06-11 Lisang Ding , Ziang Chen , Xinshang Wang , Wotao Yin

Because of its wide application, critical nodes identification has become an important research topic at the micro level of network science. Influence maximization is one of the main problems in critical nodes mining and is usually handled…

Social and Information Networks · Computer Science 2022-01-21 Enyu Yu , Duanbing Chen , Yan Fu , Yuanyuan Xu

Influence Maximization Problem (IMP) is selecting a seed set of nodes in the social network to spread the influence as widely as possible. It has many applications in multiple domains, e.g., viral marketing is frequently used for new…

Databases · Computer Science 2020-01-23 Xinxun Zeng , Shiqi Zhang , Bo Tang

The problem of increasing the centrality of a network node arises in many practical applications. In this paper, we study the optimization problem of maximizing the information centrality $I_v$ of a given node $v$ in a network with $n$…

Social and Information Networks · Computer Science 2018-04-19 Liren Shan , Yuhao Yi , Zhongzhi Zhang

We consider the problem of selecting a minimum size subset of nodes in a network, that allows to activate all the nodes of the network. We present a fast and simple algorithm that, in real-life networks, produces solutions that outperform…

Data Structures and Algorithms · Computer Science 2016-10-18 Gennaro Cordasco , Luisa Gargano , Adele Anna Rescigno

Network centrality plays an important role in many applications. Central nodes in social networks can be influential, driving opinions and spreading news or rumors.In hyperlinked environments, such as the Web, where users navigate via…

Social and Information Networks · Computer Science 2017-10-11 Sourav Medya , Arlei Silva , Ambuj Singh , Prithwish Basu , Ananthram Swami

For the purpose of maximizing the spread of influence caused by a certain small number k of nodes in a social network, we are asked to find a k-subset of nodes (i.e., a seed set) with the best capacity to influence the nodes not in it. This…

Social and Information Networks · Computer Science 2022-06-07 Enqiang Zhu , Haosen Wang , Yu Zhang , Kai Zhang , Chanjuan Liu

We speed up marginal inference by ignoring factors that do not significantly contribute to overall accuracy. In order to pick a suitable subset of factors to ignore, we propose three schemes: minimizing the number of model factors under a…

Machine Learning · Computer Science 2012-03-19 Sebastian Riedel , David A. Smith , Andrew McCallum

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

Influence maximization is a well-studied problem that asks for a small set of influential users from a social network, such that by targeting them as early adopters, the expected total adoption through influence cascades over the network is…

Social and Information Networks · Computer Science 2015-11-06 Wei Lu , Wei Chen , Laks V. S. Lakshmanan

We give polynomial-time algorithms for the exact computation of lowest-energy (ground) states, worst margin violators, log partition functions, and marginal edge probabilities in certain binary undirected graphical models. Our approach…

Machine Learning · Computer Science 2009-09-29 Nicol N. Schraudolph , Dmitry Kamenetsky

Identifying the training data samples that most influence a generated image is a critical task in understanding diffusion models (DMs), yet existing influence estimation methods are constrained to small-scale or LoRA-tuned models due to…

Computer Vision and Pattern Recognition · Computer Science 2026-04-10 Huawei Lin , Yingjie Lao , Weijie Zhao

The spread of misinformation in social media outlets has become a prevalent societal problem and is the cause of many kinds of social unrest. Curtailing its prevalence is of great importance and machine learning has shown significant…

Artificial Intelligence · Computer Science 2023-04-25 Yueyang Liu , Zois Boukouvalas , Nathalie Japkowicz

Stimulated by practical applications arising from viral marketing. This paper investigates a novel Budgeted $k$-Submodular Maximization problem defined as follows: Given a finite set $V$, a budget $B$ and a $k$-submodular function $f:…

Data Structures and Algorithms · Computer Science 2021-10-25 Canh V. Pham , Quang C. Vu , Dung K. T. Ha , Tai T. Nguyen

Influence Maximization (IM) is to identify the seed set to maximize information dissemination in a network. Elegant IM algorithms could naturally extend to cases where each node is equipped with a specific weight, reflecting individual…

Social and Information Networks · Computer Science 2024-12-11 Xinyan Su , Zhiheng Zhang , Jiyan Qiu

Motivated by applications such as viral marketing, the problem of influence maximization (IM) has been extensively studied in the literature. The goal is to select a small number of users to adopt an item such that it results in a large…

Social and Information Networks · Computer Science 2019-06-03 Prithu Banerjee , Wei Chen , Laks V. S. Lakshmanan

An effective technique for solving optimization problems over massive data sets is to partition the data into smaller pieces, solve the problem on each piece and compute a representative solution from it, and finally obtain a solution…

Data Structures and Algorithms · Computer Science 2015-06-23 Vahab Mirrokni , Morteza Zadimoghaddam
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