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A scalable problem to benchmark robust multidisciplinary design optimization algorithms (RMDO) is proposed. This allows the user to choose the number of disciplines, the dimensions of the coupling and design variables and the extent of the…

Optimization and Control · Mathematics 2023-03-03 A Aziz-Alaoui , O Roustant , M de Lozzo

Randomized discontinuation design (RDD) is an enrichment strategy commonly used to address limitations of traditional placebo-controlled trials, particularly the ethical concern of prolonged placebo exposure. RDD consists of two phases: an…

Methodology · Statistics 2025-06-03 Ayon Mukherjee , Oleksandr Sverdlov , Ngoc-Thuy Ha , Yu Deng

Experimental design has emerged as a powerful approach for improving the sample efficiency of A/B testing, yet existing designs rely critically on correctly specified models. We study robust sequential experimental design under model…

Machine Learning · Statistics 2026-05-14 Qianglin Wen , Xiangkun Wu , Chengchun Shi , Ting Li , Niansheng Tang , Yingying Zhang , Hongtu Zhu

Design under uncertainty is a challenging problem, as a systems performance can be highly sensitive to variations in input parameters and model uncertainty. A conventional approach to addressing such problems is robust optimization, which…

Systems and Control · Electrical Eng. & Systems 2025-09-18 Maryam Ghasemzadeh , H M Dilshad Alam Digonta , Anand Balu Nellippallil , Anton van Beek

In social choice settings with linear preferences, random dictatorship is known to be the only social decision scheme satisfying strategyproofness and ex post efficiency. When also allowing indifferences, random serial dictatorship (RSD) is…

Computer Science and Game Theory · Computer Science 2015-02-06 Haris Aziz , Felix Brandt , Markus Brill

Many real-world experimental design problems (a) evaluate multiple experimental conditions in parallel and (b) replicate each condition multiple times due to large and heteroscedastic observation noise. Given a fixed total budget, this…

Randomized smoothing (RS) has successfully been used to improve the robustness of predictions for deep neural networks (DNNs) by adding random noise to create multiple variations of an input, followed by deciding the consensus. To…

Machine Learning · Computer Science 2024-04-29 Emmanouil Seferis , Stefanos Kollias , Chih-Hong Cheng

We develop a randomized Newton method capable of solving learning problems with huge dimensional feature spaces, which is a common setting in applications such as medical imaging, genomics and seismology. Our method leverages randomized…

Optimization and Control · Mathematics 2019-10-04 Robert M. Gower , Dmitry Kovalev , Felix Lieder , Peter Richtárik

The robust multi-product pricing problem is to determine the prices of a collection of products so as to maximize the worst-case revenue, where the worst case is taken over an uncertainty set of demand models that the firm expects could be…

Optimization and Control · Mathematics 2025-02-17 Xinyi Guan , Velibor V. Mišić

The frequent directions (FD) technique is a deterministic approach for online sketching that has many applications in machine learning. The conventional FD is a heuristic procedure that often outputs rank deficient matrices. To overcome the…

Machine Learning · Computer Science 2019-02-26 Luo Luo , Cheng Chen , Zhihua Zhang , Wu-Jun Li , Tong Zhang

Freight carriers rely on tactical planning to design their service network to satisfy demand in a cost-effective way. For computational tractability, deterministic and cyclic Service Network Design (SND) formulations are used to solve…

Machine Learning · Computer Science 2022-01-14 Greta Laage , Emma Frejinger , Gilles Savard

Reliability-based design optimization (RBDO) provides a rational and sound framework for finding the optimal design while taking uncertainties into ac-count. The main issue in implementing RBDO methods, particularly stochastic simu-lation…

Applications · Statistics 2020-03-03 Wang-Sheng Liu , Sai Hung Cheung

We consider two-stage robust optimization problems, which can be seen as games between a decision maker and an adversary. After the decision maker fixes part of the solution, the adversary chooses a scenario from a specified uncertainty…

Optimization and Control · Mathematics 2022-01-03 Marc Goerigk , Stefan Lendl , Lasse Wulf

In this paper we analyze the effect of two modelling approaches for supply planning problems under uncertainty: two-stage stochastic programming (SP) and robust optimization (RO). The comparison between the two approaches is performed…

Optimization and Control · Mathematics 2016-11-22 Francesca Maggioni , Florian Potra , Marida Bertocchi

From an engineering perspective, a design should not only perform well in an ideal condition, but should also resist noises. Such a design methodology, namely robust design, has been widely implemented in the industry for product quality…

Machine Learning · Computer Science 2021-12-09 Jia-Qi Yang , Ke-Bin Fan , Hao Ma , De-Chuan Zhan

This paper proposes risk-averse and risk-agnostic formulations to robust design in which solutions that satisfy the system requirements for a set of scenarios are pursued. These scenarios, which correspond to realizations of uncertain…

Optimization and Control · Mathematics 2025-11-07 Luis G. Crespo , Bret Stanford , Natalia Alexandrov

The robustness of fault detection algorithms against uncertainty is crucial in the real-world industrial environment. Recently, a new probabilistic design scheme called distributionally robust fault detection (DRFD) has emerged and received…

Optimization and Control · Mathematics 2026-01-16 Yulin Feng , Hailang Jin , Steven X. Ding , Hao Ye , Chao Shang

Probabilistic sampling methods have become very popular to solve single-shot path planning problems. Rapidly-exploring Random Trees (RRTs) in particular have been shown to be efficient in solving high dimensional problems. Even though…

Artificial Intelligence · Computer Science 2009-12-02 Nicolas A. Barriga , Mauricio Araya-López

Randomized rounding is a technique that was originally used to approximate hard offline discrete optimization problems from a mathematical programming relaxation. Since then it has also been used to approximately solve sequential stochastic…

Data Structures and Algorithms · Computer Science 2024-11-21 Will Ma

In this paper, the problem of robust reconfigurable intelligent surface (RIS) system design under changes in data distributions is investigated. Using the notion of invariant risk minimization (IRM), an invariant causal representation…

Machine Learning · Computer Science 2021-05-06 Sumudu Samarakoon , Jihong Park , Mehdi Bennis