LOFA: Online Influence Maximization under Full-Bandit Feedback using Lazy Forward Selection

Fuente: arXiv
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Autores principales: Xu, Jinyu, Umrawal, Abhishek K.
Formato: Preprint
Publicado: 2026
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author Xu, Jinyu
Umrawal, Abhishek K.
author_facet Xu, Jinyu
Umrawal, Abhishek K.
contents We study the problem of influence maximization (IM) in an online setting, where the goal is to select a subset of nodes$\unicode{x2014}$called the seed set$\unicode{x2014}$at each time step over a fixed time horizon, subject to a cardinality budget constraint, to maximize the expected cumulative influence. We operate under a full-bandit feedback model, where only the influence of the chosen seed set at each time step is observed, with no additional structural information about the network or diffusion process. It is well-established that the influence function is submodular, and existing algorithms exploit this property to achieve low regret. In this work, we leverage this property further and propose the Lazy Online Forward Algorithm (LOFA), which achieves a lower empirical regret. We conduct experiments on a real-world social network to demonstrate that LOFA achieves superior performance compared to existing bandit algorithms in terms of cumulative regret and instantaneous reward.
format Preprint
id arxiv_https___arxiv_org_abs_2601_00933
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle LOFA: Online Influence Maximization under Full-Bandit Feedback using Lazy Forward Selection
Xu, Jinyu
Umrawal, Abhishek K.
Machine Learning
Artificial Intelligence
Social and Information Networks
05C90, 60J60, 68R05, 68R10, 68T05, 90C27, 90C35
E.1; F.2.2; G.1.6; G.2.1; G.2.2; G.3; I.2.0; I.2.6; J.4
We study the problem of influence maximization (IM) in an online setting, where the goal is to select a subset of nodes$\unicode{x2014}$called the seed set$\unicode{x2014}$at each time step over a fixed time horizon, subject to a cardinality budget constraint, to maximize the expected cumulative influence. We operate under a full-bandit feedback model, where only the influence of the chosen seed set at each time step is observed, with no additional structural information about the network or diffusion process. It is well-established that the influence function is submodular, and existing algorithms exploit this property to achieve low regret. In this work, we leverage this property further and propose the Lazy Online Forward Algorithm (LOFA), which achieves a lower empirical regret. We conduct experiments on a real-world social network to demonstrate that LOFA achieves superior performance compared to existing bandit algorithms in terms of cumulative regret and instantaneous reward.
title LOFA: Online Influence Maximization under Full-Bandit Feedback using Lazy Forward Selection
topic Machine Learning
Artificial Intelligence
Social and Information Networks
05C90, 60J60, 68R05, 68R10, 68T05, 90C27, 90C35
E.1; F.2.2; G.1.6; G.2.1; G.2.2; G.3; I.2.0; I.2.6; J.4
url https://arxiv.org/abs/2601.00933