[HTML][HTML] Optimization under uncertainty and risk: Quadratic and copositive approaches

IM Bomze, M Gabl - European Journal of Operational Research, 2023 - Elsevier
Robust optimization and stochastic optimization are the two main paradigms for dealing with
the uncertainty inherent in almost all real-world optimization problems. The core principle of …

[PDF][PDF] Robust optimization for models with uncertain SOC and SDP constraints

J Zhen, F de Ruiter, D Den Hertog - Optimization Online, 2017 - optimization-online.org
In this paper we consider uncertain second-order cone (SOC) and semidefinite
programming (SDP) constraints with polyhedral uncertainty, which are in general …

On gain scheduling trajectory stabilization for nonlinear systems: theoretical insights and experimental results

N Kessler, L Fagiano - … Journal of Robust and Nonlinear Control, 2024 - Wiley Online Library
Steering a nonlinear system from an initial state to a desired one is a common task in
control. While a nominal trajectory can be obtained rather systematically using a model, for …

A decision rule approach for two-stage data-driven distributionally robust optimization problems with random recourse

X Fan, GA Hanasusanto - INFORMS Journal on Computing, 2024 - pubsonline.informs.org
We study two-stage stochastic optimization problems with random recourse, where the
coefficients of the adaptive decisions involve uncertain parameters. To deal with the infinite …

Robust optimization for models with uncertain second-order cone and semidefinite programming constraints

J Zhen, FJCT de Ruiter, E Roos… - INFORMS Journal on …, 2022 - pubsonline.informs.org
In this paper, we consider uncertain second-order cone (SOC) and semidefinite
programming (SDP) constraints with polyhedral uncertainty, which are in general …

Decentralized Multi-Robot Line-of-Sight Connectivity Maintenance under Uncertainty

Y Yang, Y Lyu, Y Zhang, S Yi, W Luo - arXiv preprint arXiv:2406.12802, 2024 - arxiv.org
In this paper, we propose a novel decentralized control method to maintain Line-of-Sight
connectivity for multi-robot networks in the presence of Guassian-distributed localization …

Comparative Analysis of Two-Stage Distributionally Robust Optimization over 1-Wasserstein and 2-Wasserstein Balls

G Byeon - arXiv preprint arXiv:2501.05619, 2025 - arxiv.org
This paper investigates advantages of using 2-Wasserstein ambiguity sets over 1-
Wasserstein sets in two-stage distributionally robust optimization with right-hand side …

Estimation and Prediction Procedures for Unified Robust Decision Models

Z Lou, Z Chen, M Sim, J Xie, P Xiong - Available at SSRN 4890089, 2024 - papers.ssrn.com
Over the past two decades, robust optimization techniques have efficiently addressed
decision problems under uncertainty, offering high assurance of feasibility without being …

Decision Rule Approaches for Pessimistic Bilevel Linear Programs Under Moment Ambiguity with Facility Location Applications

A Goyal, Y Zhang, C He - INFORMS Journal on Computing, 2023 - pubsonline.informs.org
We study a pessimistic stochastic bilevel program in the context of sequential two-player
games, where the leader makes a binary here-and-now decision, and the follower responds …

Bandits Corrupted by Nature: Lower Bounds on Regret and Robust Optimistic Algorithms

T Mathieu, D Basu, OA Maillard - Transactions on Machine Learning …, 2024 - hal.science
We study the Bandits with Stochastic Corruption problem, ie a stochastic multi-armed bandit
problem with $ k $ unknown reward distributions, which are heavy-tailed and corrupted by a …