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    Area of Science:

    • Deep Learning
    • Game Theory
    • Machine Learning

    Background:

    • Training deep learning models, including Generative Adversarial Networks (GANs) and Adversarial Training (AT), is complex due to challenges in finding Nash equilibria in large strategy spaces.
    • Existing methods often struggle with scalability and convergence in these complex training scenarios.

    Purpose of the Study:

    • To propose a new approach for training deep learning models using game theory concepts, specifically a double-oracle framework.
    • To extend the double-oracle framework to Adversarial Neural Architecture Search (NAS) for GANs and AT algorithms.
    • To improve the performance and robustness of GANs and AT models.

    Main Methods:

    • Developed a double-oracle framework utilizing best response oracles, generalizing player strategies as trained models.
    • Employed linear programming to compute meta-strategies and pruned weakly-dominated strategies for scalability.
    • Applied the framework to develop DONAS-GAN and DONAS-AT algorithms.

    Main Results:

    • Experiments on MNIST, CIFAR-10, and TinyImageNet demonstrated significant improvements for DONAS-GAN.
    • Evaluations on CIFAR-10, SVHN, and TinyImageNet showed enhanced robustness of DONAS-AT under FGSM and PGD attacks.
    • All variants showed substantial improvements in both qualitative and quantitative metrics compared to base architectures.

    Conclusions:

    • The proposed double-oracle framework effectively enhances the training of GANs and AT models.
    • The DONAS-GAN and DONAS-AT variants offer superior performance and robustness.
    • This game theory-based approach provides a scalable and effective solution for complex deep learning training challenges.