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The scenario approach provides a powerful data-driven framework for designing solutions under uncertainty with rigorous probabilistic robustness guarantees. Existing theory, however, primarily addresses assessing robustness with respect to…

Machine Learning · Statistics 2026-04-02 Simone Garatti , Lucrezia Manieri , Alessandro Falsone , Algo Carè , Marco C. Campi , Maria Prandini

Variational inequalities are modelling tools used to capture a variety of decision-making problems arising in mathematical optimization, operations research, game theory. The scenario approach is a set of techniques developed to tackle…

Optimization and Control · Mathematics 2020-03-17 Dario Paccagnan , Marco C. Campi

Scenario-based testing is a promising method to develop, verify and validate automated driving systems (ADS) since pure on-road testing seems inefficient for complex traffic environments. A major challenge for this approach is the provision…

Software Engineering · Computer Science 2024-04-22 Michael Schuldes , Christoph Glasmacher , Lutz Eckstein

Scenario-based testing is becoming increasingly important in safety assurance for automated driving. However, comprehensive and sufficiently complete coverage of the scenario space requires significant effort and resources if using only…

Software Engineering · Computer Science 2023-07-24 Christoph Glasmacher , Michael Schuldes , Hendrik Weber , Nicolas Wagener , Lutz Eckstein

The scenario-based optimization approach (`scenario approach') provides an intuitive way of approximating the solution to chance-constrained optimization programs, based on finding the optimal solution under a finite number of sampled…

Optimization and Control · Mathematics 2025-10-02 Georg Schildbach , Lorenzo Fagiano , Manfred Morari

The scenario approach is widely used in robust control system design and chance-constrained optimization, maintaining convexity without requiring assumptions about the probability distribution of uncertain parameters. However, the approach…

Optimization and Control · Mathematics 2024-12-10 Jaeseok Choi , Anand Deo , Constantino Lagoa , Anirudh Subramanyam

Scenario building is an established method to anticipate the future of emerging technologies. Its primary goal is to use narratives to map future trajectories of technology development and sociotechnical adoption. Following this process,…

Human-Computer Interaction · Computer Science 2025-06-09 Julia Barnett , Kimon Kieslich , Jasmine Sinchai , Nicholas Diakopoulos

Chance-constrained optimization is a suitable modeling framework for safety-critical applications where violating constraints is nearly unacceptable. The scenario approach is a popular solution method for these problems, due to its…

Optimization and Control · Mathematics 2026-03-19 Jaeseok Choi , Anand Deo , Constantino Lagoa , Anirudh Subramanyam

Scenario-based approaches for the validation of highly automated driving functions are based on the search for safety-critical characteristics of driving scenarios using software-in-the-loop simulations. This search requires information…

Scenario-based testing is envisioned as a key approach for the safety assurance of autonomous vehicles. In scenario-based testing, relevant (driving) scenarios are the basis of tests. Many recent works focus on specification, variation,…

Software Engineering · Computer Science 2023-07-12 Till Schallau , Stefan Naujokat , Fiona Kullmann , Falk Howar

A typical scenario-based evaluation framework seeks to characterize a black-box system's safety performance (e.g., failure rate) through repeatedly sampling initialization configurations (scenario sampling) and executing a certain test…

Robotics · Computer Science 2021-11-16 Bowen Weng , Linda Capito , Umit Ozguner , Keith Redmill

The development of new assessment methods for the performance of automated vehicles is essential to enable the deployment of automated driving technologies, due to the complex operational domain of automated vehicles. One contributing…

Artificial Intelligence · Computer Science 2024-08-28 E. de Gelder , J. -P. Paardekooper , A. Khabbaz Saberi , H. Elrofai , O. Op den Camp. , S. Kraines , J. Ploeg , B. De Schutter

Scenario-based testing has become a promising approach to overcome the complexity of real-world traffic for safety assurance of automated vehicles. Within scenario-based testing, a system under test is confronted with a set of predefined…

Software Engineering · Computer Science 2024-04-03 Christoph Glasmacher , Hendrik Weber , Lutz Eckstein

This paper introduces a new computational framework to account for uncertainties in day-ahead electricity market clearing process in the presence of demand response providers. A central challenge when dealing with many demand response…

Signal Processing · Electrical Eng. & Systems 2017-12-01 Hao Ming , Le Xie , Marco Campi , Simone Garatti , P. R. Kumar

Scenario programs have established themselves as efficient tools towards decision-making under uncertainty. To assess the quality of scenario-based solutions a posteriori, validation tests based on Bernoulli trials have been widely adopted…

Optimization and Control · Mathematics 2021-08-31 Chao Shang , Fengqi You

We develop a data-driven approach to the computation of a-posteriori feasibility certificates to the solution sets of variational inequalities affected by uncertainty. Specifically, we focus on instances of variational inequalities with a…

Optimization and Control · Mathematics 2022-02-17 Filippo Fabiani , Kostas Margellos , Paul J. Goulart

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

Various stakeholders with different backgrounds are involved in Smart City projects. These stakeholders define the project goals, e.g., based on participative approaches, market research or innovation management processes. To realize these…

Software Engineering · Computer Science 2022-01-19 Carsten Wiecher , Philipp Tendyra , Carsten Wolff

Randomized optimization is an established tool for control design with modulated robustness. While for uncertain convex programs there exist randomized approaches with efficient sampling, this is not the case for non-convex problems.…

Systems and Control · Computer Science 2015-06-08 Sergio Grammatico , Xiaojing Zhang , Kostas Margellos , Paul Goulart , John Lygeros

This paper deals with the scenario approach to robust optimization. This relies on a random sampling of the possibly infinite number of constraints induced by uncertainties in the parameters of an optimization problem. Solving the resulting…

Optimization and Control · Mathematics 2023-03-08 Fabien Lauer
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