Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approach
Researchers have developed an Ordinary Differential Equation (ODE) approach to better understand the theoretical underpinnings of Adam-DA, a popular algorithm for solving zero-sum games. This new framework closely mirrors the discrete-time dynamics of Adam-DA, offering a tractable method for analysis. The study reveals that the momentum parameters in zero-sum games have an inverse effect compared to their roles in standard minimization problems, a finding validated through GAN experiments. AI
IMPACT Provides a theoretical framework for understanding optimization in adversarial settings, potentially improving GAN training and other zero-sum game applications.