Unsupervised Deep Manifold Attributed Graph Embedding

27 Apr 2021  ·  Zelin Zang, Siyuan Li, Di wu, Jianzhu Guo, Yongjie Xu, Stan Z. Li ·

Unsupervised attributed graph representation learning is challenging since both structural and feature information are required to be represented in the latent space. Existing methods concentrate on learning latent representation via reconstruction tasks, but cannot directly optimize representation and are prone to oversmoothing, thus limiting the applications on downstream tasks. To alleviate these issues, we propose a novel graph embedding framework named Deep Manifold Attributed Graph Embedding (DMAGE). A node-to-node geodesic similarity is proposed to compute the inter-node similarity between the data space and the latent space and then use Bergman divergence as loss function to minimize the difference between them. We then design a new network structure with fewer aggregation to alleviate the oversmoothing problem and incorporate graph structure augmentation to improve the representation's stability. Our proposed DMAGE surpasses state-of-the-art methods by a significant margin on three downstream tasks: unsupervised visualization, node clustering, and link prediction across four popular datasets.

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Results from the Paper


Task Dataset Model Metric Name Metric Value Global Rank Benchmark
Node Clustering Citeseer DMAGE Accuracy 69.6 # 2
NMI 44.1 # 3
F1 66.3 # 1
Node Clustering Cora DMAGE Accuracy 74.2 # 2
NMI 58.0 # 1
F1 69.8 # 1
Node Clustering Pubmed DMAGE Accuracy 73.3 # 2
NMI 35.8 # 1
F1 73.2 # 1
Node Clustering Wiki DMAGE Accuracy 52.3 # 2
NMI 49.0 # 2
F1 46.8 # 1

Methods