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Information asymmetry between the Distribution System Operator (DSO) and Distributed Energy Resource Aggregators (DERAs) obstructs designing effective incentives for voltage regulation. To capture this effect, we employ a Stackelberg…

系统与控制 · 电气工程与系统科学 2024-08-07 Zhirui Liang , Qi Li , Joshua Comden , Andrey Bernstein , Yury Dvorkin

We consider optimization problems with uncertain constraints that need to be satisfied probabilistically. When data are available, a common method to obtain feasible solutions for such problems is to impose sampled constraints, following…

最优化与控制 · 数学 2020-07-09 Henry Lam , Fengpei Li

With the ongoing investment in data collection and communication technology in power systems, data-driven optimization has been established as a powerful tool for system operators to handle stochastic system states caused by weather- and…

最优化与控制 · 数学 2023-12-18 Robert Mieth , Juan M. Morales , H. Vincent Poor

Flexible demand response (DR) resources can be leveraged to accommodate the stochasticity of some distributed energy resources. This paper develops an online learning approach that continuously estimates price sensitivities of residential…

系统与控制 · 计算机科学 2020-04-28 Robert Mieth , Yury Dvorkin

Asset Liability Management (ALM) represents a fundamental challenge for financial institutions, particularly pension funds, which must navigate the tension between generating competitive investment returns and ensuring the solvency of…

投资组合管理 · 定量金融 2026-02-10 Alireza Ghahtarani , Ahmed Saif , Alireza Ghasemi

Two-stage risk-averse distributionally robust optimization (DRO) problems are ubiquitous across many engineering and business applications. Despite their promising resilience, two-stage DRO problems are generally computationally…

最优化与控制 · 数学 2024-12-24 Yue Lin , Daniel Zhuoyu Long , Viet Anh Nguyen , Jin Qi

Few-shot learning requires models to generalize under limited supervision while remaining robust to distribution shifts. Existing Sinkhorn Distributionally Robust Optimization (DRO) methods provide theoretical guarantees but rely on a fixed…

机器学习 · 统计学 2026-02-17 Haixiang Sun , Andrew L. Liu

We develop an analytical synthesis that bridges data-driven Distributionally Robust Optimization (DRO) and Economic Decision Theory under Ambiguity (DTA). By reinterpreting standard regularization and DRO techniques as data-driven…

机器学习 · 统计学 2025-02-27 Nicola Bariletto , Khai Nguyen , Nhat Ho

In recent years, frequent extreme events have put forward higher requirements for improving the resilience of distribution networks (DNs). Introducing energy storage integrated with soft open point (E-SOP) is one of the effective ways to…

系统与控制 · 电气工程与系统科学 2025-11-13 Bingkai Huang , Yuxiong Huang , Qianwen Hu , Gengfeng Li , Zhaohong Bie

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 study we analyze linear mixed-integer programming problems, in which the distribution of the cost vector is only observable through a finite training data set. In contrast to the related studies, we assume that the number of random…

最优化与控制 · 数学 2022-05-20 Sergey S. Ketkov , Andrei S. Shilov

With the commitment to climate, globally many countries started reducing brownfield energy production and strongly opting towards green energy resources. However, the optimal allocation of distributed energy resources (DERs) in electrical…

系统与控制 · 电气工程与系统科学 2023-03-28 D Maneesh Reddy , Divyanshi Dwivedi , Pradeep Kumar Yemula , Mayukha Pal

Empirical risk minimization (ERM) and distributionally robust optimization (DRO) are popular approaches for solving stochastic optimization problems that appear in operations management and machine learning. Existing generalization error…

最优化与控制 · 数学 2023-09-26 Garud Iyengar , Henry Lam , Tianyu Wang

We study control of constrained linear systems with only partial statistical information about the uncertainty affecting the system dynamics and the sensor measurements. Specifically, given a finite collection of disturbance realizations…

Utility preference robust optimization (PRO) has recently been proposed to deal with optimal decision making problems where the decision maker's (DM) preference over gains and losses is ambiguous. In this paper, we take a step further to…

最优化与控制 · 数学 2024-03-11 Jian Hu , Dali Zhang , Huifu Xu , Sainan Zhang

Wasserstein distributionally robust optimization (WDRO) attempts to learn a model that minimizes the local worst-case risk in the vicinity of the empirical data distribution defined by Wasserstein ball. While WDRO has received attention as…

机器学习 · 统计学 2020-06-23 Yongchan Kwon , Wonyoung Kim , Joong-Ho Won , Myunghee Cho Paik

Distributionally robust optimization (DRO) has shown lot of promise in providing robustness in learning as well as sample based optimization problems. We endeavor to provide DRO solutions for a class of sum of fractionals, non-convex…

机器学习 · 计算机科学 2022-06-01 Avinandan Bose , Arunesh Sinha , Tien Mai

We investigate model risk and distributionally robust optimization (DRO) under marginal and martingale constraints. Building on our previous work, we address the previously open case of static hedging with second-period maturity vanilla…

概率论 · 数学 2026-01-29 Nathan Sauldubois

Robust Markov Decision Processes (MDPs) address environmental shift through distributionally robust optimization (DRO) by finding an optimal worst-case policy within an uncertainty set of transition kernels. However, standard DRO approaches…

机器学习 · 统计学 2026-03-10 Akram S. Awad , Shihab Ahmed , Yue Wang , George K. Atia

This paper provides a non-robust interpretation of the distributionally robust optimization (DRO) problem by relating the distributional uncertainties to the chance probabilities. Our analysis allows a decision-maker to interpret the size…

最优化与控制 · 数学 2020-09-22 Qi Wu , Shumin Ma , Cheuk Hang Leung , Wei Liu , Nanbo Peng