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    This study introduces a new method for deep learning regression models to automatically generate high-quality prediction intervals (PIs). The approach ensures narrow and accurate PIs, improving model reliability in real-world applications.

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    Area of Science:

    • Artificial Intelligence
    • Machine Learning
    • Deep Learning

    Background:

    • Accurate uncertainty quantification is crucial for reliable deep learning (DL) model deployment.
    • Prediction intervals (PIs) are essential for regression tasks, providing a range for predictions.
    • High-quality PIs must be narrow and accurately capture probability density.

    Purpose of the Study:

    • To develop a method for automatically learning prediction intervals (PIs) for regression-based neural networks (NNs).
    • To enhance the quality of PIs by ensuring they are narrow and cover the true values effectively.
    • To improve the reliability of DL models in real-world regression applications.

    Main Methods:

    • Training two companion neural networks: one for target estimation and another for PI bounds.
    • Designing a novel loss function for the PI network with objectives for minimizing PI width and ensuring PI coverage.
    • Implementing a self-adaptive coefficient to balance the loss function's optimization objectives.

    Main Results:

    • The proposed method successfully generates prediction intervals with nominal probability coverage.
    • The method produces significantly narrower PIs compared to state-of-the-art approaches.
    • Target estimation accuracy is maintained without detriment, leading to higher-quality PIs.

    Conclusions:

    • The novel method effectively learns high-quality prediction intervals for deep learning regression models.
    • The approach enhances model reliability by providing accurate and narrow uncertainty estimates.
    • This work contributes to more trustworthy AI applications through improved uncertainty quantification.