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arxiv 2205.02998 v2 pith:UR3YNL3Q submitted 2022-05-06 cs.LG cs.AI

Optimal Propagation for Graph Neural Networks

classification cs.LG cs.AI
keywords graphoptimaldownstreaminputlearningmodelnetworksneural
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Graph Neural Networks (GNNs) have achieved tremendous success in a variety of real-world applications by relying on the fixed graph data as input. However, the initial input graph might not be optimal in terms of specific downstream tasks, because of information scarcity, noise, adversarial attacks, or discrepancies between the distribution in graph topology, features, and groundtruth labels. In this paper, we propose a bi-level optimization approach for learning the optimal graph structure via directly learning the Personalized PageRank propagation matrix as well as the downstream semi-supervised node classification simultaneously. We also explore a low-rank approximation model for further reducing the time complexity. Empirical evaluations show the superior efficacy and robustness of the proposed model over all baseline methods.

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