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GEMSEC: Graph Embedding with Self Clustering (1802.03997v3)

Published 12 Feb 2018 in cs.SI

Abstract: Modern graph embedding procedures can efficiently process graphs with millions of nodes. In this paper, we propose GEMSEC -- a graph embedding algorithm which learns a clustering of the nodes simultaneously with computing their embedding. GEMSEC is a general extension of earlier work in the domain of sequence-based graph embedding. GEMSEC places nodes in an abstract feature space where the vertex features minimize the negative log-likelihood of preserving sampled vertex neighborhoods, and it incorporates known social network properties through a machine learning regularization. We present two new social network datasets and show that by simultaneously considering the embedding and clustering problems with respect to social properties, GEMSEC extracts high-quality clusters competitive with or superior to other community detection algorithms. In experiments, the method is found to be computationally efficient and robust to the choice of hyperparameters.

Citations (283)

Summary

  • The paper presents GEMSEC, a novel approach that integrates node embedding and a k-means-style clustering cost to capture community structures.
  • The algorithm uses smoothness regularization and mini-batch gradient descent to improve clustering quality, evidenced by higher modularity on diverse datasets.
  • The method demonstrates practical effectiveness by boosting F1 scores in music genre recommendation, highlighting its applicability in real-world graph analysis.

An Analysis of GEMSEC: Graph Embedding with Self Clustering

In the presented paper by Rozemberczki et al., GEMSEC, a novel algorithm for graph embedding that simultaneously considers the clustering of nodes, is introduced. Unlike traditional sequence-based graph embedding methods like DeepWalk and Node2Vec, which focus primarily on preserving proximity of nodes based on random-walk sampling, GEMSEC incorporates a clustering component to explicitly account for community structures within the embedding process. This approach is particularly significant given the importance of community detection in the analysis of social networks and various other application domains.

Methodological Advancement

GEMSEC innovates by addressing both node embedding and clustering concurrently, leveraging sequence-based node embeddings that use negative log-likelihood to formulate the skip-gram optimization. The addition of a clustering cost to the objective function allows GEMSEC to create embeddings where nodes belonging to the same community are not only in close proximity but also well-separated from other communities in the embedding space. This is achieved by using a k-means-style clustering cost, governed by a hyperparameter that balances the trade-off between the embedding and clustering objectives.

A key feature of GEMSEC is its approach to ensure embedding consistency and robustness through a smoothness regularization technique. By incorporating social network properties in the form of regularization, the algorithm is able to sharpen community distinctions during the embedding, as demonstrated experimentally. Additionally, GEMSEC is characterized by its computational efficiency, owing to a variant of mini-batch gradient descent that facilitates scalable learning on large graphs.

Empirical Evaluation and Results

The authors conducted a comprehensive experimental evaluation using datasets from Facebook and Deezer. They reported that GEMSEC consistently outperformed existing methods in terms of clustering quality, measured by modularity. Notably, the smoothness regularization introduced by the authors enhanced the clustering performance and provided consistency across varying hyperparameters.

Furthermore, the utility of GEMSEC is validated through a downstream task of music genre recommendation. When applied to Deezer's social network data, GEMSEC demonstrated superior F1 score performance in predicting music genres liked by users, highlighting its practical applicability in real-world scenarios.

Implications and Future Directions

The implications of GEMSEC are twofold. Practically, it presents a robust technique for enhancing community detection tasks in graphs, with potential applications spanning from social media analysis to biological network studies. Theoretically, it offers a framework that integrates community awareness into node embedding procedures, paving the way for future work exploring the intersection of graph embedding and clustering.

Looking forward, there is potential to extend this model by exploring other forms of regularization that incorporate different graph structural features or applying the GEMSEC framework in dynamic networks. As graph networks continue to grow in size and complexity, methods like GEMSEC that scale linearly with input size and provide insight into community structures will remain valuable.

In conclusion, GEMSEC stands as a substantial contribution to the field of graph embeddings, introducing methodological innovations that enhance the quality and applicability of embeddings in community-aware tasks.