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    This study introduces Positive-Unlabeled learning with Label Distribution Alignment (PULDA) to address bias in classifiers trained on limited data. PULDA aligns label distributions, eliminating negative prediction bias and enhancing model discriminability.

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    Area of Science:

    • Machine Learning
    • Artificial Intelligence
    • Data Science

    Background:

    • Positive-Unlabeled (PU) data presents challenges for binary classification due to the lack of negative labels.
    • Existing PU learning methods often exhibit a bias towards negative predictions, limiting their effectiveness.

    Purpose of the Study:

    • To propose a novel formulation for PU learning that alleviates the bias towards negative predictions.
    • To introduce a margin-based learning framework, PULDA, enhancing model discriminability and controlling negative prediction proportions.

    Main Methods:

    • Developed a label distribution alignment formulation to control the proportion of negative predictions globally.
    • Introduced functional margins to improve the discriminability of the classifier.
    • Integrated class prior estimation and a stochastic mini-batch optimization algorithm with convergence guarantees.

    Main Results:

    • The proposed label distribution alignment intrinsically eliminates bias towards negative predictions.
    • The PULDA framework demonstrates enhanced model discriminability.
    • Empirical results confirm the effectiveness of the proposed method in PU learning scenarios.

    Conclusions:

    • PULDA offers an effective solution for PU learning by addressing inherent biases and improving classification performance.
    • The method is theoretically supported by generalization analysis and practically validated through comprehensive experiments.