Derives ODE limits of Adam-DA showing that first- and second-order momentum parameters reverse their convergence roles in zero-sum games compared to minimization, validated on GAN experiments.
Handbook of differential equations: ordinary differential equations , volume=
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Understanding Dynamics of Adam in Zero-Sum Games: An ODE Approach
Derives ODE limits of Adam-DA showing that first- and second-order momentum parameters reverse their convergence roles in zero-sum games compared to minimization, validated on GAN experiments.
- Perron-Volterra Lyapunov functions and competitive exclusion partitions in n-strain models with diagonal Metzler transversal Jacobian and rank-one blocks