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The vertical distance between the actual value of y and the estimated value of y. In other words, it measures the vertical distance between the actual data point and the predicted point on the line
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Supervised Feature Selection With Orthogonal Regression and Feature Weighting.

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    This study introduces a new supervised orthogonal least squares regression model for feature selection. The method effectively reduces data dimensionality and improves classification accuracy compared to existing techniques.

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    Area of Science:

    • Machine Learning
    • Data Science
    • Computer Science

    Background:

    • Effective feature selection is crucial for model performance and understanding complex data.
    • Existing feature selection methods often fail to retain sufficient discriminative information.

    Purpose of the Study:

    • To propose a novel supervised orthogonal least squares regression model with feature weighting for enhanced feature selection.
    • To address the limitations of traditional methods in retaining discriminative information.

    Main Methods:

    • A novel supervised orthogonal least squares regression model with feature weighting was developed.
    • Generalized power iteration and augmented Lagrangian multiplier methods were employed to solve the optimization problem.

    Main Results:

    • The proposed method demonstrated superior performance in reducing feature dimensionality.
    • Experimental results indicated better classification outcomes compared to traditional feature selection methods.

    Conclusions:

    • The developed method effectively reduces dimensionality and enhances classification.
    • Both theoretical proofs and experimental results validate the method's effectiveness and superiority.