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math.OC2022
StepDIRECT -- A Derivative-Free Optimization Method for Stepwise Functions
Dzung T. Phan, Hongsheng Liu, Lam M. Nguyen
In this paper, we propose the StepDIRECT algorithm for derivative-free optimization (DFO), in which the black-box objective function has a stepwise landscape. Our framework is base…
math.OC2019
Statistical inference for piecewise normal distributions and stochastic variational inequalities
Shu Lu, Hongsheng Liu
In this paper we first provide a method to compute confidence intervals for the center of a piecewise normal distribution given a sample from this distribution, under certain assum…
math.OC2018
Convergence of the Augmented Decomposition Algorithm
Hongsheng Liu, Shu Lu
We study the convergence of the Augmented Decomposition Algorithm (ADA) proposed in [32] for solving multi-block separable convex minimization problems subject to linear constraint…