60 citations · 203 across the 23 of their papers we have counts for
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math.OC2013★ 6 cited
Accelerated Gradient Methods for Nonconvex Nonlinear and Stochastic Programming
Saeed Ghadimi, Guanghui Lan
In this paper, we generalize the well-known Nesterov's accelerated gradient (AG) method, originally designed for convex smooth optimization, to solve nonconvex and possibly stochas…
math.OC2013★ 46 cited
Stochastic First- and Zeroth-order Methods for Nonconvex Stochastic Programming
Saeed Ghadimi, Guanghui Lan
In this paper, we introduce a new stochastic approximation (SA) type algorithm, namely the randomized stochastic gradient (RSG) method, for solving an important class of nonlinear…
math.OC2013★ 11 cited
Mini-batch Stochastic Approximation Methods for Nonconvex Stochastic Composite Optimization
Saeed Ghadimi, Guanghui Lan, Hongchao Zhang
This paper considers a class of constrained stochastic composite optimization problems whose objective function is given by the summation of a differentiable (possibly nonconvex) c…