39 citations · 135 across the 9 of their papers we have counts for
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math.OC2017★ 2 cited
Stochastic Non-convex Optimization with Strong High Probability Second-order Convergence
Mingrui Liu, Tianbao Yang
In this paper, we study stochastic non-convex optimization with non-convex random functions. Recent studies on non-convex optimization revolve around establishing second-order conv…
math.OC2017★ 15 cited
On Noisy Negative Curvature Descent: Competing with Gradient Descent for Faster Non-convex Optimization
Mingrui Liu, Tianbao Yang
The Hessian-vector product has been utilized to find a second-order stationary solution with strong complexity guarantee (e.g., almost linear time complexity in the problem's dimen…