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Main Authors: Dimitrieski, Naum, Honecker, Maria Christine, Scherer, Carsten, Ebenbauer, Christian
Format: Preprint
Published: 2026
Subjects:
Online Access:https://arxiv.org/abs/2603.15823
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author Dimitrieski, Naum
Honecker, Maria Christine
Scherer, Carsten
Ebenbauer, Christian
author_facet Dimitrieski, Naum
Honecker, Maria Christine
Scherer, Carsten
Ebenbauer, Christian
contents 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.
format Preprint
id arxiv_https___arxiv_org_abs_2603_15823
institution arXiv
publishDate 2026
record_format arxiv
spellingShingle Global Stability and Step Size Robustness of RMSProp
Dimitrieski, Naum
Honecker, Maria Christine
Scherer, Carsten
Ebenbauer, Christian
Optimization and Control
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.
title Global Stability and Step Size Robustness of RMSProp
topic Optimization and Control
url https://arxiv.org/abs/2603.15823