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In this paper, an optimization problem with uncertain constraint coefficients is considered. Possibility theory is used to model the uncertainty. Namely, a joint possibility distribution in constraint coefficient realizations, called…

Optimization and Control · Mathematics 2023-09-07 Romain Guillaume , Adam Kasperski , Pawel Zielinski

Simulation-based problems involving mixed-variable inputs frequently feature domains that are hierarchical, conditional, heterogeneous, or tree-structured. These characteristics pose challenges for data representation, modeling, and…

Machine Learning · Computer Science 2026-01-21 Paul Saves , Edward Hallé-Hannan , Jasper Bussemaker , Youssef Diouane , Nathalie Bartoli

Multi-robot systems can greatly enhance efficiency through coordination and collaboration, yet in practice, full-time communication is rarely available and interactions are constrained to close-range exchanges. Existing methods either…

Robotics · Computer Science 2026-02-09 Xintong Zhang , Junfeng Chen , Yuxiao Zhu , Bing Luo , Meng Guo

This paper studies the design of mechanisms that are robust to misspecification. We introduce a novel notion of robustness that connects a variety of disparate approaches and study its implications in a wide class of mechanism design…

Theoretical Economics · Economics 2021-08-31 Giuseppe Lopomo , Luca Rigotti , Chris Shannon

Improving algorithms via predictions is a very active research topic in recent years. This paper initiates the systematic study of mechanism design in this model. In a number of well-studied mechanism design settings, we make use of…

Computer Science and Game Theory · Computer Science 2023-01-13 Chenyang Xu , Pinyan Lu

Robustness of linear systems with constant coefficients is considered. There exist methods and tools for analyzing the stability of systems with random or deterministic uncertainties. At the same time, there are no approaches for the…

Optimization and Control · Mathematics 2020-12-08 Andrey Tremba

This paper addresses the joint optimization of trajectories and bandwidth allocation for multiple Unmanned Aerial Vehicles (UAVs) to enhance energy efficiency in the cooperative data collection problem. We focus on an important yet…

Multiagent Systems · Computer Science 2026-01-19 Cuong Le , Symeon Chatzinotas , Thang X. Vu

This paper presents a continuous-time optimal control framework for the generation of reference trajectories in driving scenarios with uncertainty. A previous work presented a discrete-time stochastic generator for autonomous vehicles;…

Optimization and Control · Mathematics 2026-03-17 Ange Valli , Shangyuan Zhang , Abdel Lisser

AI predictive systems are increasingly embedded in decision making pipelines, shaping high stakes choices once made solely by humans. Yet robust decisions under uncertainty still rely on capabilities that current AI lacks: domain knowledge…

Artificial Intelligence · Computer Science 2025-10-28 Sima Noorani , Shayan Kiyani , George Pappas , Hamed Hassani

We examine a constrained Markov decision process under uncertain transition probabilities, with the uncertainty modeled as deviations from observed transition probabilities. We construct the uncertainty set associated with the deviations…

Optimization and Control · Mathematics 2025-04-15 V Varagapriya

Many important problems in the real world don't have unique solutions. It is thus important for machine learning models to be capable of proposing different plausible solutions with meaningful probability measures. In this work we introduce…

Machine Learning · Computer Science 2020-07-28 Di Qiu , Lok Ming Lui

We demonstrate that final-state uncertainty is ubiquitous in multistable systems of coupled neuronal maps, meaning that predicting whether one such system will eventually be chaotic or nonchaotic is often nearly impossible. We propose a…

Neurons and Cognition · Quantitative Biology 2025-07-22 Brandon B. Le , Bennett Lamb , Luke Benfer , Sriharsha Sambangi , Nisal Geemal Vismith , Akshaj Jagarapu

Predicting the behavior of complex systems in engineering often involves significant uncertainty about operating conditions, such as external loads, environmental effects, and manufacturing variability. As a result, uncertainty…

Computation · Statistics 2025-07-17 S. Marelli , S. Schär , B. Sudret

Quality-Diversity optimisation (QD) has proven to yield promising results across a broad set of applications. However, QD approaches struggle in the presence of uncertainty in the environment, as it impacts their ability to quantify the…

Neural and Evolutionary Computing · Computer Science 2023-03-28 Manon Flageat , Antoine Cully

ML models have errors when used for predictions. The errors are unknown but can be quantified by model uncertainty. When multiple ML models are trained using the same training points, their model uncertainties may be statistically…

Machine Learning · Statistics 2025-09-23 Xiaoping Du

Homogeneity and heterogeneity represent a well-known trade-off in the design of modular robot systems. This work addresses the heterogeneity concept, its rationales, design choices and performance evaluation. We introduce challenges for…

This paper presents a novel machine-learning framework for reconstructing low-order gust-encounter flow field and lift coefficients from sparse, noisy surface pressure measurements. Our study thoroughly investigates the time-varying…

Machine Learning · Computer Science 2025-06-25 Hanieh Mousavi , Jeff D. Eldredge

Achieving both safety guarantees and real-time performance in cooperative vehicle coordination remains a fundamental challenge, particularly in dynamic and uncertain environments. Existing methods often suffer from insufficient uncertainty…

Robotics · Computer Science 2026-04-20 Haojie Bai , Tingting Zhang , Cong Guo , Yang Wang , Xiongwei Zhao , Hai Zhu

A novel trajectory design methodology is proposed in the current work to minimize the state uncertainty in the crucial mission of spacecraft rendezvous. The trajectory is shaped under constraints utilizing a multiple-impulse approach. State…

Optimization and Control · Mathematics 2018-12-03 Amir Shakouri , Maryam Kiani , Seid H. Pourtakdoust

Topology optimization (TO) is a well-established methodology for structural design under user-defined constraints, e.g. minimum volume and maximum stiffness. However, such methods have traditionally been applied to static, deterministic…

Computational Physics · Physics 2025-03-28 Luis Irastorza-Valera , Luis Saucedo-Mora