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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Proves parameter-space partitions into regions with unique stable equilibria in n-strain models via explicit Perron-Volterra Lyapunov functions for boundary and coexistence equilibria.
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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.
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Perron-Volterra Lyapunov functions and competitive exclusion partitions in n-strain models with diagonal Metzler transversal Jacobian and rank-one blocks
Proves parameter-space partitions into regions with unique stable equilibria in n-strain models via explicit Perron-Volterra Lyapunov functions for boundary and coexistence equilibria.