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Relational Pooling for Graph Representations

2019-03-06Code Available0· sign in to hype

Ryan L. Murphy, Balasubramaniam Srinivasan, Vinayak Rao, Bruno Ribeiro

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Abstract

This work generalizes graph neural networks (GNNs) beyond those based on the Weisfeiler-Lehman (WL) algorithm, graph Laplacians, and diffusions. Our approach, denoted Relational Pooling (RP), draws from the theory of finite partial exchangeability to provide a framework with maximal representation power for graphs. RP can work with existing graph representation models and, somewhat counterintuitively, can make them even more powerful than the original WL isomorphism test. Additionally, RP allows architectures like Recurrent Neural Networks and Convolutional Neural Networks to be used in a theoretically sound approach for graph classification. We demonstrate improved performance of RP-based graph representations over state-of-the-art methods on a number of tasks.

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Benchmark Results

DatasetModelMetricClaimedVerifiedStatus
HIV datasetRNN-DFSAUC0.63Unverified
MUVRNN-DFSAUC0.65Unverified
Tox21RNN-DFSAUC0.75Unverified

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