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In this paper, we investigate distributionally robust model order reduction for linear, discrete-time, time-invariant systems. The external input is assumed to follow an uncertain distribution within a Wasserstein ambiguity set. We begin by…

最优化与控制 · 数学 2025-11-17 Le Liu , Yu Kawano , Yangming Dou , Ming Cao

Distributed Opportunistic Scheduling (DOS) techniques have been recently proposed to improve the throughput performance of wireless networks. With DOS, each station contends for the channel with a certain access probability. If a contention…

网络与互联网体系结构 · 计算机科学 2014-12-16 Andres Garcia-Saavedra , Albert Banchs , Pablo Serrano , Joerg Widmer

Deep learning has been effectively applied to many discrete optimization problems. However, learning-based scheduling on unrelated parallel machines remains particularly difficult to design. Not only do the numbers of jobs and machines…

机器学习 · 计算机科学 2025-12-23 Diego Hitzges , Guillaume Sagnol

This paper studies the expected optimal value of a mixed 0-1 programming problem with uncertain objective coefficients following a joint distribution. We assume that the true distribution is not known exactly, but a set of independent…

最优化与控制 · 数学 2017-08-28 Guanglin Xu , Samuel Burer

We propose a data-based method to solve a multi-stage stochastic optimal power flow (OPF) problem based on limited information about forecast error distributions. The framework explicitly combines multi-stage feedback policies with any…

最优化与控制 · 数学 2018-10-29 Yi Guo , Kyri Baker , Emiliano Dall'Anese , Zechun Hu , Tyler H. Summers

The optimal transport (OT) problem has gained significant traction in modern machine learning for its ability to: (1) provide versatile metrics, such as Wasserstein distances and their variants, and (2) determine optimal couplings between…

Existing research on single-machine scheduling is largely focused on exact algorithms, which perform well on typical instances but can significantly deteriorate on certain regions of the problem space. In contrast, data-driven approaches…

机器学习 · 计算机科学 2025-10-08 Nikolai Antonov , Prěmysl Šůcha , Mikoláš Janota , Jan Hůla

This paper focuses on the Wasserstein distributionally robust mean-lower semi-absolute deviation (DR-MLSAD) model, where the ambiguity set is a Wasserstein ball centered on the empirical distribution of the training sample. This model can…

最优化与控制 · 数学 2024-03-04 Weimi Zhou , Yong-Jin Liu

We consider stochastic programs conditional on some covariate information, where the only knowledge of the possible relationship between the uncertain parameters and the covariates is reduced to a finite data sample of their joint…

最优化与控制 · 数学 2021-11-23 Adrián Esteban-Pérez , Juan M. Morales

Distributionally Robust Optimization (DRO), which aims to find an optimal decision that minimizes the worst case cost over the ambiguity set of probability distribution, has been widely applied in diverse applications, e.g., network…

最优化与控制 · 数学 2025-07-31 Yang Jiao , Kai Yang , Dongjin Song

Ranking and selection (R&S) aims to identify the alternative with the best mean performance among $k$ simulated alternatives. The practical value of R&S depends on accurate simulation input modeling, which often suffers from the curse of…

机器学习 · 统计学 2025-09-09 Zaile Li , Yuchen Wan , L. Jeff Hong

In this paper, we focus on a data-driven risk-averse multistage stochastic programming (RMSP) model considering distributional robustness. We optimize the RMSP over the worst-case distribution within an ambiguity set of probability…

最优化与控制 · 数学 2017-08-29 Jianqiu Huang , Kezhuo Zhou , Yongpei Guan

This paper studies distributed resource block (RB) allocation in wideband orthogonal frequency-division multiplexing (OFDM) cell-free systems. We propose a novel distributed sequential algorithm and its two variants, which optimize RB…

信号处理 · 电气工程与系统科学 2025-03-11 Yang Ma , Shengqian Han , Chenyang Yang

We study distributionally robust optimization (DRO) problems with uncertainty sets consisting of high-dimensional random vectors that are close in the multivariate Wasserstein distance to a reference random vector. We give conditions when…

最优化与控制 · 数学 2026-01-30 Brandon Tam , Silvana M. Pesenti

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

The distributionally robust Markov Decision Process (MDP) approach asks for a distributionally robust policy that achieves the maximal expected total reward under the most adversarial distribution of uncertain parameters. In this paper, we…

系统与控制 · 计算机科学 2018-10-10 Zhi Chen , Pengqian Yu , William B. Haskell

Distributed opportunistic scheduling is studied for wireless ad-hoc networks, where many links contend for one channel using random access. In such networks, distributed opportunistic scheduling (DOS) involves a process of joint channel…

信息论 · 计算机科学 2016-11-17 Dong Zheng , Man-On Pun , Weiyan Ge , Junshan Zhang , H. Vincent Poor

Distributionally robust optimization (DRO) has emerged as a powerful paradigm for reliable decision-making under uncertainty. This paper focuses on DRO with ambiguity sets defined via the Sinkhorn discrepancy: an entropy-regularized…

机器学习 · 统计学 2025-12-16 Jie Wang

Stochastic optimization problems often involve data distributions that change in reaction to the decision variables. This is the case for example when members of the population respond to a deployed classifier by manipulating their features…

最优化与控制 · 数学 2020-12-15 Dmitriy Drusvyatskiy , Lin Xiao

Despite their remarkable success in complex tasks propelling widespread adoption, large language-model-based agents still face critical deployment challenges due to prohibitive latency and inference costs. While recent work has explored…

人工智能 · 计算机科学 2025-09-23 Yilin Guan , Qingfeng Lan , Sun Fei , Dujian Ding , Devang Acharya , Chi Wang , William Yang Wang , Wenyue Hua