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Convergence Analysis on General Optimization

1Convergence RateSD
0.950.97511.025May 26, 2026

Evaluation results

MethodLinks
SDWeight Decay=Without, Model=General, Smooth Assumption=✓, L.C. Assumption=×2026.051
SD & MuonWeight Decay=Without, Model=General(nonconvex), Smooth Assumption=✓, L.C. Assumption=×2026.051
SD & MuonWeight Decay=Without, Model=General(nonconvex), Smooth Assumption=✓, L.C. Assumption=×, Reference=(Li and Hong, 2025)2026.051
SDWeight Decay=Without, Model=General, Smooth Assumption=×, L.C. Assumption=✓, Source=Theorem 4.12026.051
TSDWeight Decay=Without, Model=General, Smooth Assumption=×, L.C. Assumption=✓, Source=Theorem 4.22026.051
MuonWWeight Decay=With, Model=General, Smooth Assumption=✓, L.C. Assumption=×2026.051
RSD-WDWeight Decay=With, Model=General, Smooth Assumption=×, L.C. Assumption=✓, Source=Theorem 4.32026.051
RTSD-WDWeight Decay=With, Model=General, Smooth Assumption=×, L.C. Assumption=✓, Source=Theorem 4.42026.051