影响最大化的在线处理算法

Jing Tang, Xueyan Tang, Xiaokui Xiao, Junsong Yuan
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引用次数: 122

摘要

影响力最大化是一个经典的、被广泛研究的问题,在病毒式营销中有着重要的应用。然而,现有的影响最大化算法大多侧重于离线处理,也就是说,它们在得到最终答案之前不向用户提供任何输出,并且不允许用户提前终止算法以换取效率。由于缺乏交互性和灵活性,导致用户体验差,特别是算法运行时间长。针对上述问题,本文研究了影响最大化(OPIM)的在线处理算法,用户可以随时暂停算法,要求求解(影响最大化问题)及其近似保证,并可以通过给算法更多的运行时间来恢复算法,使其提高求解质量。(这种交互范例在精神上类似于数据库系统中的在线查询处理。)我们证明了现有的OPIM算法在实践中是非常无效的,并且采用现有的OPIM影响最大化方法会产生令人不满意的结果。在此基础上,本文提出了一种新的OPIM算法,该算法具有较好的经验有效性和较强的理论保证,并证明该算法也可以扩展到处理传统的影响力最大化问题。对真实数据的大量实验表明,我们的解决方案在OPIM和传统影响力最大化方面都优于最先进的解决方案。
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Online Processing Algorithms for Influence Maximization
Influence maximization is a classic and extensively studied problem with important applications in viral marketing. Existing algorithms for influence maximization, however, mostly focus on offline processing, in the sense that they do not provide any output to the user until the final answer is derived, and that the user is not allowed to terminate the algorithm early to trade the quality of solution for efficiency. Such lack of interactiveness and flexibility leads to poor user experience, especially when the algorithm incurs long running time. To address the above problem, this paper studies algorithms for online processing of influence maximization (OPIM), where the user can pause the algorithm at any time and ask for a solution (to the influence maximization problem) and its approximation guarantee, and can resume the algorithm to let it improve the quality of solution by giving it more time to run. (This interactive paradigm is similar in spirit to online query processing in database systems.) We show that the only existing algorithm for OPIM is vastly ineffective in practice, and that adopting existing influence maximization methods for OPIM yields unsatisfactory results. Motivated by this, we propose a new algorithm for OPIM with both superior empirical effectiveness and strong theoretical guarantees, and we show that it can also be extended to handle conventional influence maximization. Extensive experiments on real data demonstrate that our solutions outperform the state of the art for both OPIM and conventional influence maximization.
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