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    This study introduces a new late fusion multiple kernel clustering (LFMKC) method with proxy graph refinement (PGR). The novel approach integrates kernel partition learning and fusion for improved clustering performance and computational efficiency.

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    Area of Science:

    • Machine Learning
    • Data Mining
    • Computer Vision

    Background:

    • Multiple Kernel Clustering (MKC) uses base kernels to enhance clustering.
    • Late fusion MKC methods offer computational speed and good performance.
    • Existing methods separate kernel partition learning and late fusion, leading to suboptimal results.

    Purpose of the Study:

    • To propose a novel late fusion multiple kernel clustering framework with proxy graph refinement (LFMKC-PGR).
    • To address the suboptimal solutions arising from separated kernel partition learning and fusion processes in existing MKC algorithms.

    Main Methods:

    • Theoretically revisits the link between late fusion kernel partitions and spectral embedding.
    • Constructs a proxy self-expressive graph from kernel base partitions for refinement.
    • Develops an alternate algorithm with proven convergence to solve the optimization problem.

    Main Results:

    • The proposed LFMKC-PGR framework refines kernel partitions and captures partition relationships effectively.
    • Experimental results on 12 multi-kernel benchmark datasets demonstrate the algorithm's effectiveness.
    • The method shows improved clustering performance compared to existing approaches.

    Conclusions:

    • The LFMKC-PGR framework successfully integrates kernel partition learning and late fusion.
    • The proxy graph refinement mechanism enhances clustering accuracy and efficiency.
    • The proposed algorithm offers a promising advancement in multiple kernel clustering.