Walking with Perception: Efficient Random Walk Sampling via Common Neighbor Awareness

Random walk is widely applied to sample large-scale graphs due to its simplicity of implementation and solid theoretical foundations of bias analysis. However, its computational efficiency is heavily limited by the slow convergence rate (a.k.a. long burn-in period). To address this issue, we propose a common neighbor aware random walk framework called CNARW, which leverages weighted walking by differentiating the next-hop candidate nodes to speed up the convergence. Specifically, CNARW takes into consideration the common neighbors between previously visited nodes and next-hop candidate nodes in each walking step. Based on CNARW, we further develop two efficient "unbiased sampling" schemes. Experimental results on real-world network datasets show that our approach converges remarkably faster than the state-of-the-art random walk sampling algorithms. Furthermore, to achieve the same estimation accuracy, our approach reduces the query cost (a measure of sampling budget) significantly. Lastly, we also use two case studies to demonstrate the effectiveness of our sampling framework in solving large-scale graph analysis tasks.