# Global Stability and Step Size Robustness of RMSProp

arXiv: https://arxiv.org/abs/2603.15823 · HTML: https://mlsanity.com/paper/2603.15823/

## Key facts

- Cited by 1 papers in the map (data through 14 Oct 2026).
- First posted on arXiv 16 Mar 2026.

## Built on by (most cited first, 1 of 1)

- [Convergence rates for the RMSprop optimizer with full control of the hyperparameters](https://mlsanity.com/paper/2608.30382/) (2026)

## 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.