Constant Time Graph Neural Networks
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Recent advancements in graph neural networks (GNN) have led to state-of-the-art performance in various applications including chemo-informatics, question answering systems, and recommendation systems, to name a few. However, making these methods scalable to huge graphs such as web-mining remains a challenge. In particular, the existing methods for accelerating GNN are either not theoretically guaranteed in terms of approximation error or require at least linear time computation cost. In this paper, we propose a constant time approximation algorithm for the inference and training of GNN that theoretically guarantees arbitrary precision with arbitrary probability. The key advantage of the proposed algorithm is that the complexity is completely independent of the number of nodes, edges, and neighbors of the input. To the best of our knowledge, this is the first constant time approximation algorithm for GNN with theoretical guarantee. Through experiments using synthetic and real-world datasets, we evaluate our proposed approximation algorithm and show that the algorithm can successfully approximate GNN in constant time.
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