Author

Suyan Li

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Preprint Aug 2026

Finite-Horizon Input-Output Dynamics of Minibatch Perturbations in AdamW

This work forms AdamW as a finite-horizon input--state--output (ISO) system whose state contains the model parameters and first- and second-moment estimates, and derives an exact multistep error decomposition and establishes first-order finite-horizon accuracy under local smoothness and controlled activation switching.

Kangning Liu, Suyan Li · 0 citations