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    This study introduces a new consensus neighbor strategy for multiview spectral clustering, enhancing spatial learning. The novel approach expands the search for optimal consensus adjacency matrices, improving data mining representation learning.

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    Area of Science:

    • Data Mining
    • Machine Learning
    • Computer Vision

    Background:

    • Multiview spectral clustering is valuable for spatial learning but limited by constrained consensus adjacency matrix search spaces.
    • Existing methods restrict the optimal consensus adjacency matrix within the span of individual view adjacency matrices, hindering performance.

    Purpose of the Study:

    • To propose a novel and convex consensus neighbor strategy for learning the optimal consensus adjacency matrix in multiview spectral clustering.
    • To overcome the limitations of existing methods by expanding the feasible domain for discovering the optimal consensus adjacency matrix.

    Main Methods:

    • Developed a consensus neighbor strategy to capture consensus local structure across all views for constructing the optimal consensus adjacency matrix.
    • Introduced a correlation measuring matrix to prevent trivial solutions.
    • Designed an efficient iterative algorithm leveraging the model's convex nature for guaranteed convergence to a global optimum.

    Main Results:

    • The proposed algorithm demonstrated superior consensus representation learning capabilities compared to state-of-the-art methods.
    • Experimental validation on 16 multiview datasets confirmed the effectiveness of the consensus neighbor strategy.
    • The method successfully expanded the search space for the optimal consensus adjacency matrix.

    Conclusions:

    • The consensus neighbor strategy offers a robust and effective approach to multiview spectral clustering.
    • This work advances the field of representation learning by enabling broader exploration of consensus adjacency matrices.
    • The developed algorithm provides a reliable and efficient solution for complex data mining tasks.