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arXiv · 2206.11010

Agent-based Graph Neural Networks

Karolis Martinkus·Pál András Papp·Benedikt Schesch·Roger Wattenhofer
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Abstract

We present a novel graph neural network we call AgentNet, which is designed specifically for graph-level tasks. AgentNet is inspired by sublinear algorithms, featuring a computational complexity that is independent of the graph size. The architecture of AgentNet differs fundamentally from the architectures of traditional graph neural networks. In AgentNet, some trained \textit{neural agents} intelligently walk the graph, and then collectively decide on the output. We provide an extensive theoretical analysis of AgentNet: We show that the agents can learn to systematically explore their neighborhood and that AgentNet can distinguish some structures that are even indistinguishable by 2-WL. Moreover, AgentNet is able to separate any two graphs which are sufficiently different in terms of subgraphs. We confirm these theoretical results with synthetic experiments on hard-to-distinguish graphs and real-world graph classification tasks. In both cases, we compare favorably not only to standard GNNs but also to computationally more expensive GNN extensions.

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BibTeXRIS

Karolis Martinkus, Pál András Papp, Benedikt Schesch, Roger Wattenhofer. 2022-06-22. Agent-based Graph Neural Networks. https://arxiv.org/abs/2206.11010

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