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Link to original content: https://api.crossref.org/works/10.14778/3213880.3213883
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In this paper, we study the\n adaptive<\/jats:italic>\n IM problem, where we select the\n k<\/jats:italic>\n seed nodes in batches of equal size\n b<\/jats:italic>\n , such that the choice of the\n i<\/jats:italic>\n -th batch can be made after the influence results of the first\n i<\/jats:italic>\n - 1 batches are observed. We propose the first practical algorithms for adaptive IM with an approximation guarantee of 1 \u2212 exp(\u03be \u2212 1) for\n b<\/jats:italic>\n = 1 and 1 \u2212 exp(\u03be \u2212 1 + 1\/\n e<\/jats:italic>\n ) for\n b<\/jats:italic>\n > 1, where \u03be is any number in (0, 1). Our approach is based on a novel AdaptGreedy framework instantiated by non-adaptive IM algorithms, and its performance can be substantially improved if the non-adaptive IM algorithm has a small\n expected<\/jats:italic>\n approximation error. However, no current non-adaptive IM algorithms provide such a desired property. Therefore, we further propose a non-adaptive IM algorithm called EPIC, which not only has the same worst-case performance bounds with that of the state-of-the-art non-adaptive IM algorithms, but also has a reduced expected approximation error. We also provide a theoretical analysis to quantify the performance gain brought by instantiating AdaptGreedy using EPIC, compared with a naive approach using the existing IM algorithms. 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