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.
and Klusowski, Jason Matthew and Shigida, Boris , booktitle =
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Memoryless stability-annealed smoothed-sign descent with weighted exponential loss converges in normalized iterates to a Burg-type barrier minimizer on a margin slice, with an explicit S_t^{-1/2} envelope.
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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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Stability Annealing Selects the Implicit Bias of Smoothed Sign Descent: A Rate-Indexed Barrier Path on Separable Data
Memoryless stability-annealed smoothed-sign descent with weighted exponential loss converges in normalized iterates to a Burg-type barrier minimizer on a margin slice, with an explicit S_t^{-1/2} envelope.