Global Stability and Step Size Robustness of RMSProp
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Abstract (arXiv)
In this paper, an input-to-state Lyapunov function for the RMSProp optimization algorithm is introduced. Global asymptotic stability of the RMSProp algorithm for constant step sizes and robustness properties with respect to arbitrary bounded time-varying step size rules are established.
Key facts. Cited by 1 paper in the map (data through 14 Oct 2026). First posted on arXiv 16 Mar 2026.
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