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This paper presents a robust version of the stratified sampling method when multiple uncertain input models are considered for stochastic simulation. Various variance reduction techniques have demonstrated their superior performance in…

最优化与控制 · 数学 2023-06-16 Seung Min Baik , Eunshin Byon , Young Myoung Ko

In this work, we present an algorithmically tractable safe approximation of distributionally robust optimization (DRO) problems that contain univariate indicator functions. The latter appear in different applications, but render the model…

最优化与控制 · 数学 2026-01-22 Jana Dienstbier , Frauke Liers , Florian Rösel , Jan Rolfes

Online optimization of resource management for large-scale data centers and infrastructures to meet dynamic capacity reservation demands and various practical constraints (e.g., feasibility and robustness) is a very challenging problem.…

网络与互联网体系结构 · 计算机科学 2024-10-18 Chang-Lin Chen , Hanhan Zhou , Jiayu Chen , Mohammad Pedramfar , Tian Lan , Zheqing Zhu , Chi Zhou , Pol Mauri Ruiz , Neeraj Kumar , Hongbo Dong , Vaneet Aggarwal

Endogenous, i.e. decision-dependent, uncertainty has received increased interest in the stochastic programming community. In the robust optimization context, however, it has rarely been considered. This work addresses multistage robust…

最优化与控制 · 数学 2020-08-27 Wei Feng , Yiping Feng , Qi Zhang

We introduce StoDCuP (Stochastic Dynamic Cutting Plane), an extension of the Stochastic Dual Dynamic Programming (SDDP) algorithm to solve multistage stochastic convex optimization problems. At each iteration, the algorithm builds lower…

最优化与控制 · 数学 2021-04-08 Vincent Guigues , Renato Monteiro

In this paper, we design algorithms to protect swarm-robotics applications against sensor denial-of-service (DoS) attacks on robots. We focus on applications requiring the robots to jointly select actions, e.g., which trajectory to follow,…

机器人学 · 计算机科学 2022-03-21 Lifeng Zhou , Vasileios Tzoumas , George J. Pappas , Pratap Tokekar

Distributionally robust optimization (DRO) is a powerful framework for training robust models against data distribution shifts. This paper focuses on constrained DRO, which has an explicit characterization of the robustness level. Existing…

机器学习 · 统计学 2024-04-02 Qi Zhang , Yi Zhou , Ashley Prater-Bennette , Lixin Shen , Shaofeng Zou

In this paper, we address the problem of reconfiguring Earth observation satellite constellation systems through multiple stages. The Multi-stage Constellation Reconfiguration Problem (MCRP) aims to maximize the total observation rewards…

最优化与控制 · 数学 2025-07-22 Hang Woon Lee , David O. Williams Rogers , Brycen D. Pearl , Hao Chen , Koki Ho

Distributionally robust optimization (DRO) studies decision problems under uncertainty where the probability distribution governing the uncertain problem parameters is itself uncertain. A key component of any DRO model is its ambiguity set,…

最优化与控制 · 数学 2025-05-28 Daniel Kuhn , Soroosh Shafiee , Wolfram Wiesemann

Stochastic gradient descent (SGD) provides a simple and efficient way to solve a broad range of machine learning problems. Here, we focus on distribution regression (DR), involving two stages of sampling: Firstly, we regress from…

机器学习 · 统计学 2021-03-08 Nicole Mücke

This paper studies adaptive distributionally robust dispatch (DRD) of the multi-energy microgrid under supply and demand uncertainties. A Wasserstein ambiguity set is constructed to support data-driven decision-making. By fully leveraging…

最优化与控制 · 数学 2025-04-15 Xunhang Sun , Xiaoyu Cao , Bo Zeng , Miaomiao Li , Xiaohong Guan , Tamer Başar

This paper proposes a novel safety specification tool, called the distributionally robust risk map (DR-risk map), for a mobile robot operating in a learning-enabled environment. Given the robot's position, the map aims to reliably assess…

机器人学 · 计算机科学 2021-05-04 Astghik Hakobyan , Insoon Yang

To train machine learning models that are robust to distribution shifts in the data, distributionally robust optimization (DRO) has been proven very effective. However, the existing approaches to learning a distributionally robust model…

机器学习 · 计算机科学 2022-03-21 Farzin Haddadpour , Mohammad Mahdi Kamani , Mehrdad Mahdavi , Amin Karbasi

A novel and fully distributed optimization method is proposed for the distributed robust convex program (DRCP) over a time-varying unbalanced directed network under the uniformly jointly strongly connected (UJSC) assumption. Firstly, an…

最优化与控制 · 数学 2025-10-29 Jun Fu , Xunhao Wu

The rapid growth of artificial intelligence (AI)-driven data centers is reshaping electricity demand patterns. This is achieved by introducing fast, multi-gigawatt load ramps that challenge the stability and resilience of modern power…

系统与控制 · 电气工程与系统科学 2026-01-22 Sharaf K. Magableh , Caisheng Wang , Oraib Dawaghreh

Distributionally robust optimization (DRO) incorporates robustness against uncertainty in the specification of probabilistic models. This paper focuses on mitigating the curse of dimensionality in data-driven DRO problems with optimal…

最优化与控制 · 数学 2023-11-01 Lotfi M. Chaouach , Tom Oomen , Dimitris Boskos

This paper studies Distributionally Robust Optimization (DRO), a fundamental framework for enhancing the robustness and generalization of statistical learning and optimization. An effective ambiguity set for DRO must involve distributions…

机器学习 · 计算机科学 2025-10-28 Jiaqi Wen , Jianyi Yang

What are the functionals of the reward that can be computed and optimized exactly in Markov Decision Processes?In the finite-horizon, undiscounted setting, Dynamic Programming (DP) can only handle these operations efficiently for certain…

人工智能 · 计算机科学 2024-02-20 Alexandre Marthe , Aurélien Garivier , Claire Vernade

A common goal in statistics and machine learning is to learn models that can perform well against distributional shifts, such as latent heterogeneous subpopulations, unknown covariate shifts, or unmodeled temporal effects. We develop and…

机器学习 · 统计学 2020-07-21 John Duchi , Hongseok Namkoong

In this paper, we consider an integrated MSP-MDP framework which captures features of Markov decision process (MDP) and multistage stochastic programming (MSP). The integrated framework allows one to study a dynamic decision-making process…

最优化与控制 · 数学 2025-09-29 Zhiyao Yang , Zhiping Chen , Huifu Xu