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    This study introduces an efficient multiple kernel clustering (MKC) algorithm that significantly reduces computational complexity. The novel approach enhances performance and scalability for large datasets.

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    Area of Science:

    • Machine Learning
    • Data Mining
    • Computer Vision

    Background:

    • Multiple kernel clustering (MKC) effectively fuses multisource information for improved clustering.
    • Existing MKC methods face scalability challenges due to high memory (O(n^2)) and computational (O(n^3)) complexity.
    • This limits their application in median- and large-scale datasets.

    Purpose of the Study:

    • To redesign subspace segmentation-based MKC for improved efficiency and scalability.
    • To develop an MKC algorithm with reduced memory (O(n)) and computational (O(n^2)) complexity.
    • To enhance clustering performance and speed through a novel, integrated sampling strategy.

    Main Methods:

    • Redesigned the formulation of subspace segmentation-based MKC to achieve O(n) memory and O(n^2) computational complexity.
    • Introduced a novel sampling strategy, mathematically modeled and learned simultaneously during information fusion.
    • Leveraged GPU acceleration and multicore techniques for parallelization.

    Main Results:

    • The proposed algorithm demonstrates superior performance compared to state-of-the-art methods on six datasets.
    • Achieved comparable time costs to linear complexity algorithms despite the integrated sampling process.
    • The novel sampling strategy improved data reconstruction and discriminative capability across views.

    Conclusions:

    • The redesigned MKC algorithm offers a scalable and efficient solution for multisource information fusion in clustering.
    • The integrated sampling strategy enhances both performance and speed, making MKC applicable to larger datasets.
    • Parallelization capabilities further boost efficiency, positioning the algorithm as a competitive alternative for real-world applications.