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Budgeted uncertainty sets have been established as a major influence on uncertainty modeling for robust optimization problems. A drawback of such sets is that the budget constraint only restricts the global amount of cost increase that can…

Optimization and Control · Mathematics 2020-08-28 Marc Goerigk , Stefan Lendl

In this paper, we present Robust Model Predictive Control (MPC) problems with adjustable uncertainty sets. In contrast to standard Robust MPC problems with known uncertainty sets, we treat the uncertainty sets in our problems as additional…

Optimization and Control · Mathematics 2018-09-21 Yeojun Kim , Xiaojing Zhang , Jacopo Guanetti , Francesco Borrelli

Uncertainty is ubiquitous in games, both in the agents playing games and often in the games themselves. Working with uncertainty is therefore an important component of successful deep reinforcement learning agents. While there has been…

Machine Learning · Computer Science 2022-08-22 Owen Lockwood , Mei Si

As machine learning models become increasingly prevalent in critical decision-making models and systems in fields like finance, healthcare, etc., ensuring their robustness against adversarial attacks and changes in the input data is…

Machine Learning · Statistics 2024-08-05 Arun Prakash R , Anwesha Bhattacharyya , Joel Vaughan , Vijayan N. Nair

Robustness is key to engineering, automation, and science as a whole. However, the property of robustness is often underpinned by costly requirements such as over-provisioning, known uncertainty and predictive models, and known adversaries.…

Robotics · Computer Science 2021-09-28 Amanda Prorok , Matthew Malencia , Luca Carlone , Gaurav S. Sukhatme , Brian M. Sadler , Vijay Kumar

Off-policy learning plays a pivotal role in optimizing and evaluating policies prior to the online deployment. However, during the real-time serving, we observe varieties of interventions and constraints that cause inconsistency between the…

Machine Learning · Computer Science 2022-03-01 Da Xu , Yuting Ye , Chuanwei Ruan , Bo Yang

In this paper, robust finite-time consensus of a group of nonlinear multi-agent systems in the presence of communication time delays is considered. In particular, appropriate delay-dependent strategies which are less conservative are…

Systems and Control · Electrical Eng. & Systems 2021-01-27 Maryam Sharifi

We investigate a data-driven approach to constructing uncertainty sets for robust optimization problems, where the uncertain problem parameters are modeled as random variables whose joint probability distribution is not known. Relying only…

Optimization and Control · Mathematics 2020-09-22 Polina Alexeenko , Eilyan Bitar

This chapter introduces and investigates some fundamental questions on the relationship between accuracy and robustness in both classical and quantum classification algorithms under noisy and adversarial conditions. We introduce and clarify…

Quantum Physics · Physics 2026-02-18 Nana Liu

Robustness and safety are critical for the trustworthy deployment of deep reinforcement learning. Real-world decision making applications require algorithms that can guarantee robust performance and safety in the presence of general…

Machine Learning · Computer Science 2024-03-29 James Queeney , Erhan Can Ozcan , Ioannis Ch. Paschalidis , Christos G. Cassandras

We consider the problem of steering a system with unknown, stochastic dynamics to satisfy a rich, temporally layered task given as a signal temporal logic formula. We represent the system as a Markov decision process in which the states are…

Systems and Control · Computer Science 2015-10-23 Austin Jones , Derya Aksaray , Zhaodan Kong , Mac Schwager , Calin Belta

Deploying a team of robots that can carefully coordinate their actions can make the entire system robust to individual failures. In this report, we review recent algorithmic development in making multi-robot systems robust to environmental…

Robotics · Computer Science 2021-05-04 Lifeng Zhou , Pratap Tokekar

Robustness to noise is of utmost importance in reinforcement learning systems, particularly in military contexts where high stakes and uncertain environments prevail. Noise and uncertainty are inherent features of military operations,…

Machine Learning · Computer Science 2023-11-16 Lorenzo Nodari , Federico Cerutti

In this study, we explore the inherent trade-off between accuracy and robustness in neural networks, drawing an analogy to the uncertainty principle in quantum mechanics. We propose that neural networks are subject to an uncertainty…

Machine Learning · Computer Science 2025-01-17 Jun-Jie Zhang , Dong-Xiao Zhang , Jian-Nan Chen , Long-Gang Pang , Deyu Meng

This paper studies optimal control problems of unknown linear systems subject to stochastic disturbances of uncertain distribution. Uncertainty about the stochastic disturbances is usually described via ambiguity sets of probability…

Systems and Control · Electrical Eng. & Systems 2023-06-30 Guanru Pan , Timm Faulwasser

We introduce Harmonic Robustness, a powerful and intuitive method to test the robustness of any machine-learning model either during training or in black-box real-time inference monitoring without ground-truth labels. It is based on…

Machine Learning · Computer Science 2024-04-30 Nicholas S. Kersting , Yi Li , Aman Mohanty , Oyindamola Obisesan , Raphael Okochu

The efficacy of robust optimization spans a variety of settings with uncertainties bounded in predetermined sets. In many applications, uncertainties are affected by decisions and cannot be modeled with current frameworks. This paper takes…

Optimization and Control · Mathematics 2018-03-29 Omid Nohadani , Kartikey Sharma

This paper presents novel theoretical results to guarantee multi-agent set invariance using Matrix Control Barrier Functions in sampled-data systems. More specifically, the paper presents conditions under which heterogeneous control-affine…

Optimization and Control · Mathematics 2026-03-20 James Usevitch

Many real-world domains require safe decision making in uncertain environments. In this work, we introduce a deep reinforcement learning framework for approaching this important problem. We consider a distribution over transition models,…

Machine Learning · Computer Science 2023-10-27 James Queeney , Mouhacine Benosman

Ensuring robust decision-making in multi-agent systems is challenging when agents have distinct, possibly conflicting objectives and lack full knowledge of each other's strategies. This is apparent in safety-critical applications such as…

Systems and Control · Electrical Eng. & Systems 2025-10-20 Francesco Bianchin , Robert Lefringhausen , Elisa Gaetan , Samuel Tesfazgi , Sandra Hirche