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math.OC2019★ 7 cited
Lower Bounds for Smooth Nonconvex Finite-Sum Optimization
Dongruo Zhou, Quanquan Gu
Smooth finite-sum optimization has been widely studied in both convex and nonconvex settings. However, existing lower bounds for finite-sum optimization are mostly limited to the s…
math.OC2019
Stochastic Recursive Variance-Reduced Cubic Regularization Methods
Dongruo Zhou, Quanquan Gu
Stochastic Variance-Reduced Cubic regularization (SVRC) algorithms have received increasing attention due to its improved gradient/Hessian complexities (i.e., number of queries to…
math.OC2018
Sample Efficient Stochastic Variance-Reduced Cubic Regularization Method
Dongruo Zhou, Pan Xu, Quanquan Gu
We propose a sample efficient stochastic variance-reduced cubic regularization (Lite-SVRC) algorithm for finding the local minimum efficiently in nonconvex optimization. The propos…