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    This study introduces a novel multi-granularity zentropy modeling (Ze-MGM) framework for robust semi-supervised feature selection in high-dimensional and weakly supervised data. Ze-MGM enhances accuracy and reliability by effectively capturing information granularity and reducing uncertainty.

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    Area of Science:

    • Machine Learning
    • Pattern Recognition
    • Data Science

    Background:

    • High-dimensional and weakly supervised (HiDWS) data pose challenges for traditional machine learning.
    • Existing semi-supervised feature selection methods lack robustness due to unreliable unlabeled data and uncertain modeling.

    Purpose of the Study:

    • To propose a novel multi-granularity zentropy modeling (Ze-MGM) framework for highly-accurate and robust semi-supervised feature selection.
    • To address the limitations of existing methods in handling HiDWS data.

    Main Methods:

    • Introduced a strategic soft label ($S2-$Label) learning method integrating object proximity and classification certainty.
    • Constructed a multi-granularity knowledge space and zentropy uncertainty measure analyzing label-decision-class hierarchies.
    • Defined two multi-granularity significance measures for feature evaluation and selection.

    Main Results:

    • The proposed Ze-MGM framework effectively captures information granularity in HiDWS data.
    • Ze-MGM reduces uncertainty between features and labels by selecting compatible instances.
    • Achieved superior generalization performance and robustness compared to state-of-the-art methods in extensive experiments.

    Conclusions:

    • Ze-MGM offers a robust and accurate solution for semi-supervised feature selection in HiDWS data.
    • The framework's model-agnostic nature and ability to capture multi-granularity information contribute to its effectiveness.