Efficient Algorithms towards Network Intervention.

Hui-Ju Hung, Chih-Ya Shen, Wang-Chien Lee, Zhen Lei, De-Nian Yang, Sy-Miin Chow
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Abstract

Research suggests that social relationships have substantial impacts on individuals' health outcomes. Network intervention, through careful planning, can assist a network of users to build healthy relationships. However, most previous work is not designed to assist such planning by carefully examining and improving multiple network characteristics. In this paper, we propose and evaluate algorithms that facilitate network intervention planning through simultaneous optimization of network degree, closeness, betweenness, and local clustering coefficient, under scenarios involving Network Intervention with Limited Degradation - for Single target (NILD-S) and Network Intervention with Limited Degradation - for Multiple targets (NILD-M). We prove that NILD-S and NILD-M are NP-hard and cannot be approximated within any ratio in polynomial time unless P=NP. We propose the Candidate Re-selection with Preserved Dependency (CRPD) algorithm for NILD-S, and the Objective-aware Intervention edge Selection and Adjustment (OISA) algorithm for NILD-M. Various pruning strategies are designed to boost the efficiency of the proposed algorithms. Extensive experiments on various real social networks collected from public schools and Web and an empirical study are conducted to show that CRPD and OISA outperform the baselines in both efficiency and effectiveness.

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网络干预的高效算法。
研究表明,社会关系对个人的健康状况有重大影响。通过精心规划,网络干预可以帮助用户网络建立健康的关系。然而,以往的大多数工作并不是通过仔细研究和改进多种网络特征来协助这种规划的。在本文中,我们提出并评估了一些算法,这些算法通过同时优化网络度、接近度、网络间度和本地聚类系数,在涉及 "有限退化的网络干预--针对单一目标(NILD-S)"和 "有限退化的网络干预--针对多个目标(NILD-M)"的情况下,促进网络干预规划。我们证明 NILD-S 和 NILD-M 是 NP 难,除非 P=NP,否则无法在任何比率内以多项式时间逼近。我们针对 NILD-S 提出了保留依赖性的候选重选(CRPD)算法,并针对 NILD-M 提出了目标感知干预边缘选择和调整(OISA)算法。我们设计了各种剪枝策略,以提高所提算法的效率。在从公立学校和网络收集的各种真实社交网络上进行了广泛的实验和实证研究,结果表明 CRPD 和 OISA 在效率和效果上都优于基线算法。
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