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arxiv 2109.07016 v1 pith:FSYLMMDR submitted 2021-09-14 cs.LG cs.AIcs.SI

Graph Embedding via Diffusion-Wavelets-Based Node Feature Distribution Characterization

classification cs.LG cs.AIcs.SI
keywords graphmethodembeddinglearningmethodswholenoderepresentation
verification ladder T0 review T1 audit T2 compute T3 formal T4 reserved
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Recent years have seen a rise in the development of representational learning methods for graph data. Most of these methods, however, focus on node-level representation learning at various scales (e.g., microscopic, mesoscopic, and macroscopic node embedding). In comparison, methods for representation learning on whole graphs are currently relatively sparse. In this paper, we propose a novel unsupervised whole graph embedding method. Our method uses spectral graph wavelets to capture topological similarities on each k-hop sub-graph between nodes and uses them to learn embeddings for the whole graph. We evaluate our method against 12 well-known baselines on 4 real-world datasets and show that our method achieves the best performance across all experiments, outperforming the current state-of-the-art by a considerable margin.

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