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Adaptive Sampling Towards Fast Graph Representation Learning

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arxiv 1809.05343 v3 pith:G5YCTPS3 submitted 2018-09-14 cs.CV

classification cs.CV
keywords adaptivegcnsgraphlayermethodsamplingexpansionlearning
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Graph Convolutional Networks (GCNs) have become a crucial tool on learning representations of graph vertices. The main challenge of adapting GCNs on large-scale graphs is the scalability issue that it incurs heavy cost both in computation and memory due to the uncontrollable neighborhood expansion across layers. In this paper, we accelerate the training of GCNs through developing an adaptive layer-wise sampling method. By constructing the network layer by layer in a top-down passway, we sample the lower layer conditioned on the top one, where the sampled neighborhoods are shared by different parent nodes and the over expansion is avoided owing to the fixed-size sampling. More importantly, the proposed sampler is adaptive and applicable for explicit variance reduction, which in turn enhances the training of our method. Furthermore, we propose a novel and economical approach to promote the message passing over distant nodes by applying skip connections. Intensive experiments on several benchmarks verify the effectiveness of our method regarding the classification accuracy while enjoying faster convergence speed.

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  1. On the Interplay between Graph Structure and Learning Algorithms in Graph Neural Networks

    cs.LG 2025-08 unverdicted novelty 5.0 of 10

    Excess risk of SGD and ridge regression on GNNs is characterized through graph spectra, showing graph shape decides which algorithm generalizes better and deeper networks amplify the difference.

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