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math.OC2026
A Tight Lower Bound for Smooth Nonconvex Stochastic Optimization with Bounded Gradient Noise
Jikai Jin
We prove a sharp lower bound for smooth nonconvex stochastic optimization with uniformly bounded gradient noise. In the \(K=1\) fresh-sample model, every randomized adaptive algori…
math.OC2020
On The Convergence of First Order Methods for Quasar-Convex Optimization
Jikai Jin
In recent years, the success of deep learning has inspired many researchers to study the optimization of general smooth non-convex functions. However, recent works have established…