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Previous attempts on reducing the\nreceptive field size by subsampling neighbors do not have a convergence\nguarantee, and their receptive field size per node is still in the order of\nhundreds. In this paper, we develop control variate based algorithms which\nallow sampling an arbitrarily small neighbor size. Furthermore, we prove new\ntheoretical guarantee for our algorithms to converge to a local optimum of GCN.\nEmpirical results show that our algorithms enjoy a similar convergence with the\nexact algorithm using only two neighbors per node. 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