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# Deep Variational Network Embedding in Wasserstein Space.

KDD, pp.2827-2836, (2018)

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摘要

Network embedding, aiming to embed a network into a low dimensional vector space while preserving the inherent structural properties of the network, has attracted considerable attentions recently. Most of the existing embedding methods embed nodes as point vectors in a low-dimensional continuous space. In this way, the formation of the ed...更多

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简介

- Network embedding has attracted considerable research attentions in the past few years.
- Most of existing network embedding methods represent each node by a single point in a low-dimensional vector space.
- In this way, the formation of the whole network structure is deterministic.
- In social network, human behavior is multi-faceted which makes the generation of edges uncertain [47]
- For all of these cases, without considering the uncertainty of networks, the learned embeddings will be less effective in network analysis and inference tasks

重点内容

- Network embedding has attracted considerable research attentions in the past few years
- We propose a novel Deep Variational Network Embedding in Wasserstein Space method in this paper, named Deep Variational Network Embedding in Wasserstein Space
- We propose Deep Variational Network Embedding in Wasserstein Space, an novel method that learns the Gaussian embedding in the Wasserstein space, which can well preserve the transitivity in networks and reflect the uncertainties of nodes
- We focus on the problem of network embedding with first-order and second-order proximity preserved
- We propose a method to learn the Gaussian embedding by the deep variational model, namely Deep Variational Network Embedding in Wasserstein Space, which can model the uncertainties of nodes
- Deep Variational Network Embedding in Wasserstein Space uses the 2-Wasserstein distance as the similarity measure to better preserve the transitivity in the network with the linear time complexity

方法

- The authors use the following five methods as the baselines.

DVNE_kl : In order to show the advantages of W2 distance in undirected network. - As the datasets have no attribute information, the authors compare with the one-hot encoding version of Graph2Gauss as described in the paper

结论

- The authors propose a method to learn the Gaussian embedding by the deep variational model, namely DVNE, which can model the uncertainties of nodes.
- The method preserves first-order proximity and second-order proximity between nodes to capture the local and global network structure.
- DVNE uses the 2-Wasserstein distance as the similarity measure to better preserve the transitivity in the network with the linear time complexity.
- The authors' future direction is to find a good Gaussian prior for each node to better capture the network structure and model the uncertainties of nodes

- Table1: Statistics of datasets. |V | denotes the number of nodes , |E| denotes the number of edges and |C | denotes the number of classes
- Table2: AUC scores for Network Reconstruction
- Table3: AUC scores for Link Prediction

相关工作

- Because of the popularity of networked data, network embedding has received more and more attentions in recent years. We briefly review some network embedding methods, and readers can referred to [13] for a comprehensive survey. Deepwalk [37] first uses the language modeling technique to learn the latent representations of a network by truncated random walks. LINE [39] embeds the network into a low-dimensional space where the first-order and second-order proximity between nodes are preserved. Node2vec [22] learns a mapping of nodes to a low-dimensional space of features that maximizes the likelihood of preserving network neighborhoods of nodes. HOPE [36] proposes a high-order proximity preserved embedding method. Furthermore, deep learning method for network embedding is also studied. SDNE [44] first considers the high nonlinearity in network embedding and proposes a deep autoencoder to preserve the first- and the second-order proximities. The graph variational autoencoder (GAE) [27] learns node embeddings in an unsupervised manner with variational autoencoder (VAE) [16].

基金

- This work was supported in part by National Program on Key Basic Research Project (No 2015CB352300), National Natural Science Foundation of China (No 61772304, No 61521002, No 61531006, No 61702296), National Natural Science Foundation of China Major Project (No.U1611461), the research fund of Tsinghua-Tencent Joint Laboratory for Internet Innovation Technology, and the Young Elite Scientist Sponsorship Program by CAST
- All opinions, findings, conclusions and recommendations in this paper are those of the authors and do not necessarily reflect the views of the funding agencies

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