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This paper studied a robust concurrent topology optimization (RCTO) approach to design the structure and its composite materials simultaneously. For the first time, the material uncertainty with imprecise probability is integrated into the…

计算工程、金融与科学 · 计算机科学 2020-03-10 Y. Wu , Eric Li , Z. C. He , X. Y. Lin , H. X. Jiang

This research considers the ranking and selection (R&S) problem of selecting the optimal subset from a finite set of alternative designs. Given the total simulation budget constraint, we aim to maximize the probability of correctly…

最优化与控制 · 数学 2019-04-25 Fei Gao , Zhongshun Shi , Siyang Gao , Hui Xiao

In this paper, we briefly review the development of ranking-and-selection (R&S) in the past 70 years, especially the theoretical achievements and practical applications in the last 20 years. Different from the frequentist and Bayesian…

最优化与控制 · 数学 2022-03-22 L. Jeff Hong , Weiwei Fan , Jun Luo

In this paper we propose a novel optimization framework to systematically solve robust PCA problem with rigorous theoretical guarantee, based on which we investigate very computationally economic updating algorithms.

机器学习 · 计算机科学 2021-11-25 Kai Liu , Yarui Cao

The allocation of limited resources to a large number of potential candidates presents a pervasive challenge. In the context of ranking and selecting top candidates from heteroscedastic units, conventional methods often result in…

统计方法学 · 统计学 2023-06-16 Bowen Gang , Luella Fu , Gareth James , Wenguang Sun

This paper studies the robust optimal gain selection problem for financial trading systems, formulated within a \emph{double linear policy} framework, which allocates capital across long and short positions. The key objective is to…

系统与控制 · 电气工程与系统科学 2025-01-20 Chung-Han Hsieh

In this paper, we propose a general and novel formulation of ranking and selection with the existence of streaming input data. The collection of multiple streams of such data may consume different types of resources, and hence can be…

机器学习 · 统计学 2025-03-18 Yuhao Wang , Enlu Zhou

Recommender systems rely heavily on increasing computation resources to improve their business goal. By deploying computation-intensive models and algorithms, these systems are able to inference user interests and exhibit certain ads or…

系统与控制 · 电气工程与系统科学 2021-03-04 Xun Yang , Yunli Wang , Cheng Chen , Qing Tan , Chuan Yu , Jian Xu , Xiaoqiang Zhu

Robust optimization is a framework for modeling optimization problems involving data uncertainty and during the last decades has been an area of active research. If we focus on linear programming (LP) problems with i) uncertain data, ii)…

数值分析 · 计算机科学 2017-02-15 Roberto Mínguez , Víctor Casero-Alonso

This paper considers optimization problems where the objective is the sum of a function given by an expectation and a closed convex composite function, and proposes stochastic composite proximal bundle (SCPB) methods for solving it.…

最优化与控制 · 数学 2023-10-24 Jiaming Liang , Vincent Guigues , Renato D. C. Monteiro

Reward design in reinforcement learning and optimal control is challenging. Preference-based alignment addresses this by enabling agents to learn rewards from ranked trajectory pairs provided by humans. However, existing methods often…

机器学习 · 计算机科学 2025-05-29 Zhixian Xie , Haode Zhang , Yizhe Feng , Wanxin Jin

Robust optimization provides a principled and unified framework to model many problems in modern operations research and computer science applications, such as risk measures minimization and adversarially robust machine learning. To use a…

最优化与控制 · 数学 2024-10-04 Hao Hao , Peter Zhang

We study single-stage decision problems in which a subset of items with minimum total cost has to be selected at once from a given set of items, subject to two costs of each item -fixed and uncertain -and cardinality constraints for each…

最优化与控制 · 数学 2025-11-04 Antoine Lhomme , Nadia Brauner , Evgeny Gurevsky , Mikhail Kovalyov , Erwin Pesch

We want to select the best systems out of a given set of systems (or rank them) with respect to their expected performance. The systems allow random observations only and we assume that the joint observation of the systems has a…

统计方法学 · 统计学 2017-01-23 Björn Görder , Michael Kolonko

This paper formalises the problem of online algorithm selection in the context of Reinforcement Learning. The setup is as follows: given an episodic task and a finite number of off-policy RL algorithms, a meta-algorithm has to decide which…

机器学习 · 统计学 2017-11-16 Romain Laroche , Raphael Feraud

Robust PCA has drawn significant attention in the last decade due to its success in numerous application domains, ranging from bio-informatics, statistics, and machine learning to image and video processing in computer vision. Robust PCA…

最优化与控制 · 数学 2018-06-12 Shiqian Ma , Necdet Serhat Aybat

The assortment planning problem is a central piece in the revenue management strategy of any company in the retail industry. In this paper, we study a robust assortment optimization problem for substitutable products under a sequential…

最优化与控制 · 数学 2020-09-01 Saharnaz Mehrani , Jorge A. Sefair

Robust optimization is a method for optimization under uncertainties in engineering systems and designs for applications ranging from aeronautics to nuclear. In a robust design process, parameter variability (or uncertainty) is incorporated…

统计计算 · 统计学 2022-10-17 Richa Verma , Dinesh Kumar , Kazuma Kobayashi , Syed Alam

Biological brains are inherently limited in their capacity to process and store information, but are nevertheless capable of solving complex tasks with apparent ease. Intelligent behavior is related to these limitations, since resource…

神经元与认知 · 定量生物学 2020-11-16 Nisheet Patel , Luigi Acerbi , Alexandre Pouget

Online Resource Allocation problem is a central problem in many areas of Computer Science, Operations Research, and Economics. In this problem, we sequentially receive $n$ stochastic requests for $m$ kinds of shared resources, where each…

数据结构与算法 · 计算机科学 2025-05-07 Rohan Ghuge , Sahil Singla , Yifan Wang