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Power Attributed Graph Embedding and Clustering.

Lazhar Labiod, Mohamed Nadif

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    |June 24, 2022
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    Summary
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    This study introduces a new method for attributed network analysis, integrating node embedding and clustering simultaneously. The Power-Attributed Graph Embedding and Clustering (PAGEC) algorithm enhances representation learning and data partitioning for attributed networks.

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    Area of Science:

    • Data Science
    • Network Analysis
    • Machine Learning

    Background:

    • Representation learning and node clustering are key tasks in attributed network analysis.
    • Existing methods often perform these tasks sequentially, missing opportunities for synergistic improvement.
    • Attributed networks combine node features with network structure, posing unique analytical challenges.

    Purpose of the Study:

    • To develop a novel method that jointly performs node embedding and clustering for attributed networks.
    • To improve the accuracy and efficiency of representation learning and partitioning in attributed networks.
    • To address the limitations of sequential processing in current attributed network analysis techniques.

    Main Methods:

    • Proposed the Power-Attributed Graph Embedding and Clustering (PAGEC) algorithm.
    • Introduced a novel powered proximity matrix to jointly encode node link and attribute affinities.
    • Formulated a new matrix decomposition model for simultaneous embedding and clustering.

    Main Results:

    • PAGEC effectively integrates node representation learning and clustering.
    • The powered proximity matrix captures complex data affinities.
    • Experimental results show superior performance compared to state-of-the-art methods, including deep learning approaches.
    • Theoretical analysis confirms the link between the proximity matrix and random walk theory.

    Conclusions:

    • Jointly optimizing embedding and clustering in attributed networks yields significant performance gains.
    • PAGEC offers a robust and effective approach for attributed network analysis.
    • The method demonstrates broad applicability across diverse attributed network datasets.