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20142023
most citedWeakly Coupled Dynamic Program: Information and Lagrangian Relaxations

3 citations · 4 across the 5 of their papers we have counts for

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5 papers · 1 filter

math.OC2025

Fixed Confidence and Fixed Tolerance Bi-level Optimization for Selecting the Best Optimized System

Yuhao Wang, Seong-Hee Kim, Enlu Zhou

In this paper, we study a fixed-confidence, fixed-tolerance formulation of a class of stochastic bi-level optimization problems, where the upper-level problem selects from a finite…

math.OC2016

Solving the Dual Problems of Dynamic Programs via Regression

Helin Zhu, Fan Ye, Enlu Zhou

In recent years, information relaxation and duality in dynamic programs have been studied extensively, and the resulted primal-dual approach has become a powerful procedure in solv…

math.OC2016

Solving Multi-Objective Optimization via Adaptive Stochastic Search with Domination Measure

Joshua Q Hale, Helin Zhu, Enlu Zhou

For general multi-objective optimization problems, we propose a novel performance metric called domination measure to measure the quality of a solution, which can be intuitively in…

math.OC20161 cited

Simulation Optimization of Risk Measures with Adaptive Risk Levels

Helin Zhu, Joshua Hale, Enlu Zhou

Optimizing risk measures such as Value-at-Risk (VaR) and Conditional Value-at-Risk (CVaR) of a general loss distribution is usually difficult, because 1) the loss function might la…

math.OC20143 cited

Weakly Coupled Dynamic Program: Information and Lagrangian Relaxations

Fan Ye, Helin Zhu, Enlu Zhou

"Weakly coupled dynamic program" describes a broad class of stochastic optimization problems in which multiple controlled stochastic processes evolve independently but subject to a…