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    Area of Science:

    • Machine Learning
    • Data Mining
    • Pattern Recognition

    Background:

    • The k-Nearest Neighbor (k-NN) classifier's accuracy depends heavily on selecting the optimal number of neighbors (k).
    • k-NN performance degrades significantly with imbalanced datasets, where class representation varies widely.
    • Optimizing k for k-NN is computationally intensive and challenging.

    Purpose of the Study:

    • To propose Adaptive k-Nearest Neighbor (Ada-NN) and Ada-NN2, variants of k-NN designed to address the challenges of k-selection and class imbalance.
    • To develop a method that dynamically determines a point-specific k based on local data characteristics.
    • To introduce a Global Imbalance Handling Scheme (GIHS) for mitigating the effects of class imbalance.

    Main Methods:

    • Ada-NN utilizes artificial neural networks to learn a point-specific k based on neighborhood density and distribution.
    • Ada-NN2 employs a heuristic learning method, guided by local density and neighboring training points, to determine k, preserving k-NN simplicity.
    • A class-based global weighting scheme (GIHS) is proposed to address class imbalance.

    Main Results:

    • Ada-NN and Ada-NN2 demonstrate competitive performance compared to standard k-NN and its five state-of-the-art variants.
    • Extensive experiments show Ada-NN and Ada-NN2, enhanced with GIHS, outperform k-NN and its 12 imbalanced classification variants across diverse datasets.
    • The proposed methods effectively handle class imbalance without significant computational overhead.

    Conclusions:

    • Ada-NN and Ada-NN2 offer robust solutions for optimizing k-NN classification, particularly in the presence of class imbalance.
    • The integration of point-specific k selection and global imbalance handling provides a significant improvement over traditional k-NN approaches.
    • The heuristic approach in Ada-NN2 maintains computational efficiency while delivering strong classification performance.