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    This study introduces LUD-VAE, a novel deep generative model for creating synthetic training data from unpaired samples. It effectively learns joint probability distributions for tasks like image denoising without needing paired data.

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    Area of Science:

    • Computer Vision
    • Machine Learning
    • Deep Generative Models

    Background:

    • Collecting paired training data for machine learning tasks is challenging and often impractical.
    • Existing methods for unpaired data often struggle to effectively model the relationship between corrupted and clean data.

    Purpose of the Study:

    • To propose LUD-VAE, a deep generative method that learns joint probability density functions from marginal distributions.
    • To enable the generation of synthetic training data from unpaired samples for various image enhancement tasks.

    Main Methods:

    • Developed a probabilistic graphical model where clean and corrupted data domains are conditionally independent.
    • Utilized variational inference to maximize the evidence lower bound (ELBO) for estimating the joint probability density function.
    • Demonstrated ELBO computability without paired samples under the inference invariant assumption.

    Main Results:

    • The proposed LUD-VAE method successfully generates synthetic training data from unpaired samples.
    • Applied LUD-VAE to image denoising, super-resolution, and low-light image enhancement tasks.
    • Experimental results show significant advantages of LUD-VAE over existing approaches.

    Conclusions:

    • LUD-VAE provides a robust mathematical framework for learning from unpaired data.
    • The method effectively addresses the challenge of data scarcity in practical machine learning applications.
    • LUD-VAE demonstrates superior performance in diverse image enhancement tasks.