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20172020
most citedOptimization under Uncertainty in the Era of Big Data and Deep Learning: When Machine Learning Meets Mathematical Programming

340 citations · 1.6k across the 14 of their papers we have counts for

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6 papers · 1 filter

math.OC2020★ 60 cited

Online Learning Based Risk-Averse Stochastic MPC of Constrained Linear Uncertain Systems

Chao Ning, Fengqi You

This paper investigates the problem of designing data-driven stochastic Model Predictive Control (MPC) for linear time-invariant systems under additive stochastic disturbance, whos…

math.OC2020★ 32 cited

Distributionally Robust Chance Constrained Programming with Generative Adversarial Networks (GANs)

Shipu Zhao, Fengqi You

This paper presents a novel deep learning based data-driven optimization method. A novel generative adversarial network (GAN) based data-driven distributionally robust chance const…

math.OC2019★ 11 cited

A Posteriori Probabilistic Bounds of Convex Scenario Programs with Validation Tests

Chao Shang, Fengqi You

Scenario programs have established themselves as efficient tools towards decision-making under uncertainty. To assess the quality of scenario-based solutions a posteriori, validati…

math.OC2018★ 23 cited

A Transformation-Proximal Bundle Algorithm for Multistage Adaptive Robust Optimization and Application to Constrained Robust Optimal Control

Chao Ning, Fengqi You

This paper presents a novel transformation-proximal bundle algorithm for multistage adaptive robust optimization problems. By partitioning recourse decisions into state and control…

math.OC2018★ 135 cited

A data-driven robust optimization approach to scenario-based stochastic model predictive control

Chao Shang, Fengqi You

Stochastic model predictive control (SMPC) has been a promising solution to complex control problems under uncertain disturbances. However, traditional SMPC approaches either requi…

math.OC2017★ 51 cited

A Projection-Based Reformulation and Decomposition Algorithm for Global Optimization of a Class of Mixed Integer Bilevel Linear Programs

Dajun Yue, Jiyao Gao, Bo Zeng +1

We propose an extended variant of the reformulation and decomposition algorithm for solving a special class of mixed-integer bilevel linear programs (MIBLPs) where continuous and i…