Author

Jikai Jin

Stanford University

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Preprint Aug 2026

A Tight Lower Bound for Smooth Nonconvex Stochastic Optimization with Bounded Gradient Noise

A sharp lower bound is proved for smooth nonconvex stochastic optimization with uniformly bounded gradient noise with uniformly bounded gradient noise and resolves the question raised by whether almost-surely bounded oracle error permits a better rate than bounded variance.

Jikai Jin · 1 citation