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Cascade processes are responsible for many important phenomena in natural and social sciences. Simple models of irreversible dynamics on graphs, in which nodes activate depending on the state of their neighbors, have been successfully…

Disordered Systems and Neural Networks · Physics 2013-09-16 Fabrizio Altarelli , Alfredo Braunstein , Luca Dall'Asta , Riccardo Zecchina

We investigate the performance of a deterministic GREEDY algorithm for the problem of maximizing functions under a partition matroid constraint. We consider non-monotone submodular functions and monotone subadditive functions. Even though…

Discrete Mathematics · Computer Science 2019-02-22 Tobias Friedrich , Andreas Göbel , Frank Neumann , Francesco Quinzan , Ralf Rothenberger

We describe a parallel approximation algorithm for maximizing monotone submodular functions subject to hereditary constraints on distributed memory multiprocessors. Our work is motivated by the need to solve submodular optimization problems…

Distributed, Parallel, and Cluster Computing · Computer Science 2025-02-18 Shivaram Gopal , S M Ferdous , Hemanta K. Maji , Alex Pothen

The problem of influence maximization is to select the most influential individuals in a social network. With the popularity of social network sites, and the development of viral marketing, the importance of the problem has been increased.…

Social and Information Networks · Computer Science 2019-04-30 Maryam Adineh , Mostafa Nouri-Baygi

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

This paper focuses on the development of novel greedy techniques for distributed learning under sparsity constraints. Greedy techniques have widely been used in centralized systems due to their low computational requirements and at the same…

Information Theory · Computer Science 2015-06-23 Symeon Chouvardas , Gerasimos Mileounis , Nicholas Kalouptsidis , Sergios Theodoridis

We consider the influence maximization problem (selecting $k$ seeds in a network maximizing the expected total influence) on undirected graphs under the linear threshold model. On the one hand, we prove that the greedy algorithm always…

Data Structures and Algorithms · Computer Science 2022-06-15 Grant Schoenebeck , Biaoshuai Tao , Fang-Yi Yu

Social networks, due to their popularity, have been studied extensively these years. A rich body of these studies is related to influence maximization, which aims to select a set of seed nodes for maximizing the expected number of active…

Social and Information Networks · Computer Science 2015-10-14 Zhefeng Wang , Enhong Chen , Qi Liu , Yu Yang , Yong Ge , Biao Chang

Influence maximization (IM) has been extensively studied for better viral marketing. However, previous works put less emphasis on how balancedly the audience are affected across different communities and how diversely the seed nodes are…

Social and Information Networks · Computer Science 2020-03-31 Yu Zhang

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), enables the fastest spread of information? In this paper, we assume the dynamics of spread is…

Discrete Mathematics · Computer Science 2017-04-11 F. Y. Hunt

Identifying cause-effect relations among variables is a key step in the decision-making process. While causal inference requires randomized experiments, researchers and policymakers are increasingly using observational studies to test…

Optimization and Control · Mathematics 2021-11-22 Md Saiful Islam , Md Sarowar Morshed , Md. Noor-E-Alam

We consider a brand with a given budget that wants to promote a product over multiple rounds of influencer marketing. In each round, it commissions an influencer to promote the product over a social network, and then observes the subsequent…

Machine Learning · Computer Science 2019-11-11 Shatian Wang , Zhen Xu , Van-Anh Truong

We analyze the performance of the greedy algorithm, and also a discrete semi-gradient based algorithm, for maximizing the sum of a suBmodular and suPermodular (BP) function (both of which are non-negative monotone non-decreasing) under two…

Discrete Mathematics · Computer Science 2018-01-24 Wenruo Bai , Jeffrey A. Bilmes

Given a graph $G$, a community structure $\mathcal{C}$, and a budget $k$, the fair influence maximization problem aims to select a seed set $S$ ($|S|\leq k$) that maximizes the influence spread while narrowing the influence gap between…

Data Structures and Algorithms · Computer Science 2023-11-23 Xiaobin Rui , Zhixiao Wang , Jiayu Zhao , Lichao Sun , Wei Chen

Given a social network G and a constant k, the influence maximization problem asks for k nodes in G that (directly and indirectly) influence the largest number of nodes under a pre-defined diffusion model. This problem finds important…

Social and Information Networks · Computer Science 2014-05-02 Youze Tang , Xiaokui Xiao , Yanchen Shi

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

Most studies on influence maximization focus on one-shot propagation, i.e. the influence is propagated from seed users only once following a probabilistic diffusion model and users' activation are determined via single cascade. In reality…

Social and Information Networks · Computer Science 2017-02-21 Xiaohan Shan , Wei Chen , Qiang Li , Xiaoming Sun , Jialin Zhang

Motivated by, e.g., sensitivity analysis and end-to-end learning, the demand for differentiable optimization algorithms has been significantly increasing. In this paper, we establish a theoretically guaranteed versatile framework that makes…

Data Structures and Algorithms · Computer Science 2020-06-15 Shinsaku Sakaue

Given a graph G, a budget k and a misinformation seed set S, Influence Minimization (IMIN) via node blocking aims to find a set of k nodes to be blocked such that the expected spread of S is minimized. This problem finds important…

Databases · Computer Science 2024-05-22 Jinghao Wang , Yanping Wu , Xiaoyang Wang , Ying Zhang , Lu Qin , Wenjie Zhang , Xuemin Lin

Fair Influence Maximization (FIM) seeks to mitigate disparities in influence across different groups and has recently garnered increasing attention. A widely adopted notion of fairness in FIM is the maximin constraint, which directly…

Data Structures and Algorithms · Computer Science 2026-02-02 Xiaobin Rui , Qiangpeng Fang , Chen Peng , Jilong Shi , Zhixiao Wang , Wei Chen