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    Area of Science:

    • Machine Learning
    • Graph Theory
    • Data Mining

    Background:

    • Graph clustering partitions nodes into groups using unsupervised methods.
    • Graph Auto-Encoder (GAE) models, based on semi-supervised Graph Convolutional Networks (GCN), show promise but often ignore representation orthogonality or decouple training.
    • Existing methods fail to fully utilize the properties of GAE representations for optimal clustering.

    Purpose of the Study:

    • To develop a novel Graph Auto-Encoder (GAE) based model for graph clustering.
    • To address limitations of existing methods by integrating representation learning and clustering.
    • To leverage theoretical properties of relaxed k-means for improved graph clustering.

    Main Methods:

    • Developed Embedding Graph Auto-Encoder (EGAE), a GAE-based model for graph clustering.
    • Integrated relaxed k-means theory with GAE for simultaneous learning of representations and clustering.
    • Designed EGAE with an encoder and dual decoders, where relaxed k-means acts as a decoder.

    Main Results:

    • EGAE demonstrates superior performance in graph clustering compared to existing methods.
    • The learned representations in EGAE are explainable and applicable to other tasks.
    • Simultaneous learning of GAE and relaxed k-means leads to effective deep feature generation for clustering.

    Conclusions:

    • EGAE offers a theoretically grounded and effective approach to unsupervised graph clustering.
    • The model's ability to jointly optimize representation learning and clustering enhances performance.
    • EGAE's explainable representations broaden its utility beyond clustering.