LGMLFeb 19, 2019

Simplifying Graph Convolutional Networks

arXiv:1902.07153v23856 citations
Originality Incremental advance
AI Analysis

This work addresses efficiency and scalability issues for researchers and practitioners using graph neural networks, though it is incremental as it simplifies existing methods rather than introducing a new paradigm.

The paper tackles the unnecessary complexity and redundant computation in Graph Convolutional Networks (GCNs) by removing nonlinearities and collapsing weight matrices, resulting in a linear model that maintains accuracy in many applications and achieves up to two orders of magnitude speedup over FastGCN.

Graph Convolutional Networks (GCNs) and their variants have experienced significant attention and have become the de facto methods for learning graph representations. GCNs derive inspiration primarily from recent deep learning approaches, and as a result, may inherit unnecessary complexity and redundant computation. In this paper, we reduce this excess complexity through successively removing nonlinearities and collapsing weight matrices between consecutive layers. We theoretically analyze the resulting linear model and show that it corresponds to a fixed low-pass filter followed by a linear classifier. Notably, our experimental evaluation demonstrates that these simplifications do not negatively impact accuracy in many downstream applications. Moreover, the resulting model scales to larger datasets, is naturally interpretable, and yields up to two orders of magnitude speedup over FastGCN.

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