Given a social network modeled as a weighted graph $G$, the influence maximization problem seeks $k$ vertices to become initially influenced, to maximize the expected number of influenced nodes under a particular diffusion model. The influence maximization problem has been proven to be NP-hard, and most proposed solutions to the problem are approximate greedy algorithms, which can guarantee a tunable approximation ratio for their results with respect to the optimal solution. The state-of-the-art algorithms are based on Reverse Influence Sampling (RIS) technique, which can offer both computational efficiency and non-trivial $(1-\frac{1}{e}-\epsilon)$-approximation ratio guarantee for any $\epsilon >0$. RIS-based algorithms, despite their lower computational cost compared to other methods, still require long running times to solve the problem in large-scale graphs with low values of $\epsilon$. In this paper, we present a novel and efficient parallel implementation of a RIS-based algorithm, namely IMM, on GPU. The proposed GPU-accelerated influence maximization algorithm, named gIM, can significantly reduce the running time on large-scale graphs with low values of $\epsilon$. Furthermore, we show that gIM algorithm can solve other variations of the IM problem, only by applying minor modifications. Experimental results show that the proposed solution reduces the runtime by a factor up to $220 \times$. The source code of gIM is publicly available online.
翻译:鉴于社会网络的模型是加权图形G$,影响最大化问题寻求以K美元为顶尖的顶点,以在某种扩散模式下实现预期的影响节点数量最大化。影响最大化问题已被证明是硬NP,而大多数建议的解决办法是贪婪的算法,这可以保证其结果与最佳解决办法相比具有可图性近似比率。最先进的算法以反向影响20(RIS)技术为基础,它既能提供计算效率,又能提供非三角值$(1-\frac {1\ ⁇ e}-efsilon)的顶点。影响最大化节点是任何$\epsilon > 0美元。基于TRIS的算法,尽管其计算成本比其他方法要低,但仍需要很长的运行时间来解决问题。在本文中,我们提出了一个创新20(IIS)基的算法,即IM$(IM$1-e-eeplon) 非三重价的计算法,在GIMMMM值上大幅调整。拟议的低度算算法,可以大幅降低其他的数值,在GPU-ralalal-alalalalalalal的计算方法上显示,可以大幅降低其他的数值的数值的数值,可以展示。