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    This study introduces a new unsupervised feature selection method using orthogonal least square discriminant analysis (OLSDA) to generate non-negative pseudo-labels, improving performance over spectral clustering.

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    Area of Science:

    • Machine Learning
    • Data Science
    • Computer Vision

    Background:

    • Unsupervised feature selection often relies on spectral clustering to generate pseudo-labels.
    • Existing methods face challenges with Laplacian matrix dependency and non-negative pseudo-labels.

    Purpose of the Study:

    • To propose a novel unsupervised feature selection approach addressing limitations of spectral clustering.
    • To achieve non-negative pseudo-labels and enhance feature selection performance.

    Main Methods:

    • Extending orthogonal least square discriminant analysis (OLSDA) to the unsupervised domain.
    • Imposing an orthogonal constraint on the class indicator to preserve manifold structure.
    • Utilizing l2,1 regularization for row-sparse projection matrices, equivalent to l2,0 regularization.

    Main Results:

    • The proposed method successfully generates non-negative pseudo-labels.
    • Experimental results on nine benchmark datasets demonstrate significant effectiveness.
    • The approach overcomes the dependency on the Laplacian matrix inherent in spectral clustering.

    Conclusions:

    • The novel OLSDA-based unsupervised feature selection method is effective.
    • It provides a robust alternative to spectral clustering for generating reliable pseudo-labels.
    • The method enhances discriminative information extraction in unsupervised learning scenarios.