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相关论文: Distributionally Robust Optimization using Cost-Aw…

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In recent years, there has been a growing research interest in decision-focused learning, which embeds optimization problems as a layer in learning pipelines and demonstrates a superior performance than the prediction-focused approach.…

最优化与控制 · 数学 2024-06-25 Xutao Ma , Chao Ning , Wenli Du

Stochastic programs where the uncertainty distribution must be inferred from noisy data samples are considered. The stochastic programs are approximated with distributionally-robust optimizations that minimize the worst-case expected cost…

最优化与控制 · 数学 2024-01-04 Farhad Farokhi

We introduce the notion of Worst-Case Sensitivity, defined as the worst-case rate of increase in the expected cost of a Distributionally Robust Optimization (DRO) model when the size of the uncertainty set vanishes. We show that worst-case…

计量经济学 · 经济学 2020-10-22 Jun-ya Gotoh , Michael Jong Kim , Andrew E. B. Lim

We study the causal distributionally robust optimization (DRO) in both discrete- and continuous- time settings. The framework captures model uncertainty, with potential models penalized in function of their adapted Wasserstein distance to a…

概率论 · 数学 2025-05-29 Yifan Jiang , Jan Obloj

While solutions of Distributionally Robust Optimization (DRO) problems can sometimes have a higher out-of-sample expected reward than the Sample Average Approximation (SAA), there is no guarantee. In this paper, we introduce a class of…

最优化与控制 · 数学 2023-06-13 Jun-ya Gotoh , Michael Jong Kim , Andrew E. B. Lim

We study a robust contract design problem with deferred inspection, in which a principal allocates a scarce resource to an agent, observes the agent's realized outcome ex post at negligible cost, and conditions transfers on this information…

理论经济学 · 经济学 2026-01-12 Halil I. Bayrak , Martin Bichler

As machine learning models are deployed ever more broadly, it becomes increasingly important that they are not only able to perform well on their training distribution, but also yield accurate predictions when confronted with distribution…

机器学习 · 计算机科学 2022-04-14 Paul Michel , Tatsunori Hashimoto , Graham Neubig

Despite the modeling power for problems under uncertainty, robust optimization (RO) and adaptive robust optimization (ARO) can exhibit too conservative solutions in terms of objective value degradation compared to the nominal case. One of…

最优化与控制 · 数学 2025-04-14 Dimitris Bertsimas , Liangyuan Na , Bartolomeo Stellato , Irina Wang

Data-driven approaches to predict-then-optimize decision-making problems seek to mitigate the risk of uncertainty region misspecification in safety-critical settings. Current approaches, however, suffer from considering overly conservative…

统计方法学 · 统计学 2023-10-17 Yash Patel , Sahana Rayan , Ambuj Tewari

We propose a Distributionally Robust Optimization (DRO) formulation with a Wasserstein-based uncertainty set for selecting grouped variables under perturbations on the data for both linear regression and classification problems. The…

机器学习 · 统计学 2020-06-12 Ruidi Chen , Ioannis Ch. Paschalidis

Edge computing (EC) promises to deliver low-latency and ubiquitous computation to numerous devices at the network edge. This paper aims to jointly optimize edge node (EN) placement and resource allocation for an EC platform, considering…

最优化与控制 · 数学 2024-01-17 Jiaming Cheng , Duong Thuy Anh Nguyen , Duong Tung Nguyen

Standard Set Representation Learning methods typically excel on curated data but often overlook the challenge of inference-time element corruption. This refers to scenarios where deployed models encounter element-level degradations, such as…

机器学习 · 计算机科学 2026-05-29 Yankai Chen , Hanrong Zhang , Bowei He , Philip S. Yu , Xue , Liu

We consider the distributionally robust optimization (DRO) problem with spectral risk-based uncertainty set and $f$-divergence penalty. This formulation includes common risk-sensitive learning objectives such as regularized condition…

机器学习 · 统计学 2023-10-24 Ronak Mehta , Vincent Roulet , Krishna Pillutla , Zaid Harchaoui

We study distributionally robust optimization (DRO) problems where the ambiguity set is defined using the Wasserstein metric. We show that this class of DRO problems can be reformulated as semi-infinite programs. We give an exchange method…

最优化与控制 · 数学 2017-04-14 Fengqiao Luo , Sanjay Mehrotra

To address the needs of modeling uncertainty in sensitive machine learning applications, the setup of distributionally robust optimization (DRO) seeks good performance uniformly across a variety of tasks. The recent multi-distribution…

机器学习 · 统计学 2026-01-01 Rafael Hanashiro , Patrick Jaillet

Distributionally robust optimization (DRO) is an effective approach for data-driven decision-making in the presence of uncertainty. Geometric uncertainty due to sampling or localized perturbations of data points is captured by Wasserstein…

机器学习 · 统计学 2023-11-10 Sloan Nietert , Ziv Goldfeld , Soroosh Shafiee

The effects of treatments are often heterogeneous, depending on the observable characteristics, and it is necessary to exploit such heterogeneity to devise individualized treatment rules (ITRs). Existing estimation methods of such ITRs…

计量经济学 · 经济学 2022-08-09 Daido Kido

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

Distributionally robust optimization (DRO)-based robust adaptive beamforming (RAB) enables enhanced robustness against model uncertainties, such as steering vector mismatches and interference-plus-noise covariance matrix estimation errors.…

信号处理 · 电气工程与系统科学 2025-06-03 Kiarash Hassas Irani , Sergiy A. Vorobyov , Yongwei Huang

The heating, ventilation and air condition (HVAC) system consumes the most energy in commercial buildings, consisting over 60% of total energy usage in the U.S. Flexible HVAC system setpoint scheduling could potentially save building energy…

最优化与控制 · 数学 2021-03-11 Guanyu Tian , Qun Zhou , Samy Faddel , Wenyi Wang