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    This study introduces a novel Prototypical Distribution Divergence (PDD) loss for image restoration. This discrete representation-based loss enhances both Peak Signal-to-Noise Ratio (PSNR) and visual quality in various restoration tasks.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Deep Learning

    Background:

    • Neural networks, particularly Convolutional Neural Networks (CNNs) and Transformers, have advanced image restoration.
    • Loss functions are crucial for training image restoration networks but have received limited attention.
    • Existing loss functions often rely on semantic or hand-crafted image representations.

    Purpose of the Study:

    • To explore the effectiveness of discrete representations as a loss function for image restoration.
    • To propose a novel loss function based on discrete representations for improved image restoration.
    • To enhance the performance of existing image restoration architectures using the proposed loss function.

    Main Methods:

    • Proposed a Local Residual Quantized Variational AutoEncoder (Local RQ-VAE) to learn discrete prototype vectors from high-quality images.
    • Developed a Prototypical Distribution Divergence (PDD) loss to measure the difference between the distributions of restored and target images.
    • Integrated the PDD loss with state-of-the-art CNNs and Transformers for various image restoration tasks.

    Main Results:

    • The PDD loss significantly improved image restoration quality across multiple tasks.
    • Enhanced performance was observed in terms of both Peak Signal-to-Noise Ratio (PSNR) and visual fidelity.
    • The proposed loss demonstrated effectiveness with both CNN and Transformer architectures.

    Conclusions:

    • Discrete representations offer a promising direction for designing effective loss functions in image restoration.
    • The PDD loss provides a robust method for improving image restoration by leveraging discrete image representations.
    • The proposed approach offers a valuable contribution to the field of image restoration, enhancing existing models.