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We analyze transport on a graph with multiple constraints and where the weight of the edges connecting the nodes is a dynamical variable. The network dynamics results from the interplay between a nonlinear function of the flow, dissipation,…

Statistical Mechanics · Physics 2023-11-28 Frederic Folz , Kurt Mehlhorn , Giovanna Morigi

Influence maximization (IM) aims to identify a small number of influential individuals to maximize the information spread and finds applications in various fields. It was first introduced in the context of viral marketing, where a company…

Social and Information Networks · Computer Science 2023-06-06 Shiqi Zhang , Yiqian Huang , Jiachen Sun , Wenqing Lin , Xiaokui Xiao , Bo Tang

Identifying the most influential individuals can provide invaluable help in developing and deploying effective viral marketing strategies. Previous studies mainly focus on designing efficient algorithms or heuristics to find top-K…

Social and Information Networks · Computer Science 2015-08-06 Xiaodong Liu , Xiangke Liao , Shanshan Li , Jingying Zhang , Lisong Shao , Chenlin Huang , Liquan Xiao

For the purpose of propagating information and ideas through a social network, a seeding strategy aims to find a small set of seed users that are able to maximize the spread of the influence, which is termed as influence maximization…

Social and Information Networks · Computer Science 2016-07-05 Guangmo Tong , Weili Wu , Shaojie Tang , Ding-Zhu Du

In this paper, we study the adversarial attacks on influence maximization under dynamic influence propagation models in social networks. In particular, given a known seed set S, the problem is to minimize the influence spread from S by…

Social and Information Networks · Computer Science 2022-12-20 Lichao Sun , Xiaobin Rui , Wei Chen

Domination problems in general can capture situations in which some entities have an effect on other entities (and sometimes on themselves). The usual goal is to select a minimum number of entities that can influence a target group of…

Data Structures and Algorithms · Computer Science 2023-05-31 Panagiotis Aivasiliotis , Aris Pagourtzis

Network structures are reconstructed from dynamical data by respectively naive mean field (nMF) and Thouless-Anderson-Palmer (TAP) approximations. For TAP approximation, we use two methods to reconstruct the network: a) iteration method; b)…

Computation · Statistics 2015-05-20 Hong-Li Zeng , Erik Aurell , Mikko Alava , Hamed Mahmoudi

Network reliability is the probability that a dynamical system composed of discrete elements interacting on a network will be found in a configuration that satisfies a particular property. We introduce a new reliability property, Ising…

Statistical Mechanics · Physics 2016-11-23 Yihui Ren , Stephen Eubank , Madhurima Nath

Influence maximization (IM) is a fundamental problem in complex network analysis, with a wide range of real-world applications. To date, existing approaches to influential node identification in IM have predominantly relied on standard…

Social and Information Networks · Computer Science 2026-04-20 Qianshi Wang , Xilong Qu , Wenbin Pei , Nan Li , Qiang Zhang

We consider connectivity augmentation problems in the Steiner setting, where the goal is to augment the edge-connectivity between a specified subset of terminal nodes. In the Steiner Augmentation of a Graph problem ($k$-SAG), we are given a…

Data Structures and Algorithms · Computer Science 2024-08-12 Daniel Hathcock , Michael Zlatin

Recent advances in stochastic optimization have yielded the interacting particle Langevin algorithm (IPLA), which leverages the notion of interacting particle systems (IPS) to efficiently sample from approximate posterior densities. This…

Probability · Mathematics 2025-06-04 Tim Johnston , Nikolaos Makras , Sotirios Sabanis

We propose a generalized framework for influence maximization in large-scale, time evolving networks. Many real-life influence graphs such as social networks, telephone networks, and IP traffic data exhibit dynamic characteristics, e.g.,…

Social and Information Networks · Computer Science 2018-08-13 Vijaya Krishna Yalavarthi , Arijit Khan

Influence maximization aims to find a subset of seeds that maximize the influence spread under a given budget. In this paper, we mainly address the data-driven version of this problem, where the diffusion model is not given but needs to be…

Social and Information Networks · Computer Science 2023-11-21 Yuxin Zuo , Haojia Sun , Yongyi Hu , Jianxiong Guo , Xiaofeng Gao

We study an optimal intervention problem on the linear threshold model (LTM) in which a social planner aims to design minimal-cost interventions that modify the agents' thresholds, under the constraint that at least a predefined fraction of…

Computer Science and Game Theory · Computer Science 2026-05-13 Leonardo Cianfanelli , Sebastiano Messina , Giacomo Como , Fabio Fagnani

The influence maximization problem is trying to identify a set of K nodes by which the spread of influence, diseases, or information is maximized. The optimization of influence by finding such a set is an NP-hard problem and a key issue in…

Social and Information Networks · Computer Science 2021-05-21 Masoud Jalayer , Morvarid Azheian , Mehrdad Mohammad Ali Kermani

We analyze dynamic random network models where younger vertices connect to older ones with probabilities proportional to their degrees as well as a propensity kernel governed by their attribute types. Using stochastic approximation…

Probability · Mathematics 2025-10-29 Nelson Antunes , Sayan Banerjee , Shankar Bhamidi , Vladas Pipiras

We propose a new algorithm for inferring the state of hidden spins and reconstructing the connections in a synchronous kinetic Ising model, given the observed history. Focusing on the case in which the hidden spins are conditionally…

Disordered Systems and Neural Networks · Physics 2015-06-11 Claudia Battistin , John Hertz , Joanna Tyrcha , Yasser Roudi

Since its introduction in 2003, the influence maximization (IM) problem has drawn significant research attention in the literature. The aim of IM is to select a set of k users who can influence the most individuals in the social network.…

Social and Information Networks · Computer Science 2019-06-19 Hui Li , Mengting Xu , Sourav S Bhowmick , Changsheng Sun , Zhongyuan Jiang , Jiangtao Cui

The field of complex networks studies a wide variety of interacting systems by representing them as networks. To understand their properties and mutual relations, the randomisation of network connections is a commonly used tool. However,…

Statistical Mechanics · Physics 2024-10-18 Noam Abadi , Franco Ruzzenenti

We study a family online influence maximization problems where in a sequence of rounds $t=1,\ldots,T$, a decision maker selects one from a large number of agents with the goal of maximizing influence. Upon choosing an agent, the decision…

Machine Learning · Computer Science 2021-09-27 Gábor Lugosi , Gergely Neu , Julia Olkhovskaya