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The goal of this paper is to make Optimal Experimental Design (OED) computationally feasible for problems involving significant computational expense. We focus exclusively on the Mean Objective Cost of Uncertainty (MOCU), which is a…

Optimization and Control · Mathematics 2020-12-09 Anthony M. DeGennaro , Francis J. Alexander

Engineering design involves demanding models encompassing many decision variables and uncontrollable parameters. In addition, unavoidable aleatoric and epistemic uncertainties can be very impactful and add further complexity. The…

Systems and Control · Electrical Eng. & Systems 2026-02-27 Enrico Ampellio , Blazhe Gjorgiev , Giovanni Sansavini

Urban infrastructure degrades over time, necessitating periodic renovation to maintain functionality and safety. When renovation is delayed beyond the infrastructure's remaining lifespan, costly emergency interventions become necessary to…

Computational Engineering, Finance, and Science · Computer Science 2026-02-18 Robbert Bosch , Patricia Rogetzer , Wouter van Heeswijk , Martijn Mes

We study how to utilize (possibly erroneous) predictions in a model for computing under uncertainty in which an algorithm can query unknown data. Our aim is to minimize the number of queries needed to solve the minimum spanning tree…

Data Structures and Algorithms · Computer Science 2022-07-01 Thomas Erlebach , Murilo Santos de Lima , Nicole Megow , Jens Schlöter

Scheduling surgeries is a challenging task due to the fundamental uncertainty of the clinical environment, as well as the risks and costs associated with under- and over-booking. We investigate neural regression algorithms to estimate the…

Machine Learning · Statistics 2017-07-14 Nathan Ng , Rodney A Gabriel , Julian McAuley , Charles Elkan , Zachary C Lipton

Machine learning can significantly improve performance for decision-making under uncertainty across a wide range of domains. However, ensuring robustness guarantees requires well-calibrated uncertainty estimates, which can be difficult to…

Machine Learning · Computer Science 2026-02-03 Christopher Yeh , Nicolas Christianson , Alan Wu , Adam Wierman , Yisong Yue

Machine learning models play a vital role in time series forecasting. These models, however, often overlook an important element: point uncertainty estimates. Incorporating these estimates is crucial for effective risk management, informed…

Machine Learning · Computer Science 2024-09-11 Leonid Erlygin , Vladimir Zholobov , Valeriia Baklanova , Evgeny Sokolovskiy , Alexey Zaytsev

Rental-based business models and increasing sustainability requirements intensify the need for efficient strategies to manage large machine and vehicle fleet renewal and upgrades. Optimized fleet upgrade strategies maximize overall utility,…

Optimization and Control · Mathematics 2025-08-11 Kenrick Howin Chai , Stefan Hildebrand , Tobias Lachnit , Martin Benfer , Gisela Lanza , Sandra Klinge

This paper considers the design of structures made of engineered materials, accounting for uncertainty in material properties. We present a topology optimization approach that optimizes the structural shape and topology at the macroscale…

Optimization and Control · Mathematics 2021-10-27 Subhayan De , Kurt Maute , Alireza Doostan

In model-based reinforcement learning, planning with an imperfect model of the environment has the potential to harm learning progress. But even when a model is imperfect, it may still contain information that is useful for planning. In…

Machine Learning · Computer Science 2021-03-09 Zaheer Abbas , Samuel Sokota , Erin J. Talvitie , Martha White

The concept of anchored solutions is proposed as a new robust optimization approach to the Resource-Constrained Project Scheduling Problem (RCPSP) under processing times uncertainty. The Anchor-Robust RCPSP is defined, to compute a baseline…

Optimization and Control · Mathematics 2020-11-05 Adèle Pass-Lanneau , Pascale Bendotti , Luca Brunod-Indrigo

Stochastic programming is often challenged by epistemic uncertainty, where critical probability distributions are poorly characterized or unknown due to a lack of data. To address this, we pioneer a novel framework for stochastic…

Optimization and Control · Mathematics 2026-05-19 Shixin Liu , Ming Gao , Jian Hu

Planning safe trajectories for autonomous vehicles is essential for operational safety but remains extremely challenging due to the complex interactions among traffic participants. Recent autonomous driving frameworks have focused on…

Robotics · Computer Science 2026-04-22 Tian Niu , Kaizhao Zhang , Zhongxue Gan , Wenchao Ding

Motion planning at urban intersections that accounts for the situation context, handles occlusions, and deals with measurement and prediction uncertainty is a major challenge on the way to urban automated driving. In this work, we address…

Robotics · Computer Science 2021-10-22 Johannes Müller , Jan Strohbeck , Martin Herrmann , Michael Buchholz

Prediction sets provide a theoretically grounded framework for quantifying uncertainty in machine learning models. Adapting them to structured generation tasks, in particular, large language model (LLM) based code generation, remains a…

Software Engineering · Computer Science 2026-05-13 Senrong Xu , Yuhao Tan , Yanke Zhou , Guangyuan Wu , Zenan Li , Yuan Yao , Taolue Chen , Feng Xu , Xiaoxing Ma

In the study of complex systems, evaluating physical observables often requires sampling representative configurations via Monte Carlo techniques. These methods rely on repeated evaluations of the system's energy and force fields, which can…

Disordered Systems and Neural Networks · Physics 2025-07-02 Dimitrios Tzivrailis , Alberto Rosso , Eiji Kawasaki

In industrial resource allocation problems, an initial planning stage may solve a nominal problem instance and a subsequent recovery stage may intervene to repair inefficiencies and infeasibilities due to uncertainty, e.g.\ machine failures…

Optimization and Control · Mathematics 2020-08-31 Dimitrios Letsios , Miten Mistry , Ruth Misener

We study a multi-objective model on the allocation of reusable resources under model uncertainty. Heterogeneous customers arrive sequentially according to a latent stochastic process, request for certain amounts of resources, and occupy…

Optimization and Control · Mathematics 2023-08-02 Xilin Zhang , Wang Chi Cheung

This article presents a novel approach, named MCMP (Monte Carlo Motion Planning), to the problem of motion planning under uncertainty, i.e., to the problem of computing a low-cost path that fulfills probabilistic collision avoidance…

Robotics · Computer Science 2015-06-01 Lucas Janson , Edward Schmerling , Marco Pavone

Simulation of the crack network evolution on high strain rate impact experiments performed in brittle materials is very compute-intensive. The cost increases even more if multiple simulations are needed to account for the randomness in…