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A fundamental challenge in learning an unknown dynamical system is to reduce model uncertainty by making measurements while maintaining safety. We formulate a mathematical definition of what it means to safely learn a dynamical system by…

Optimization and Control · Mathematics 2024-06-11 Amir Ali Ahmadi , Abraar Chaudhry , Vikas Sindhwani , Stephen Tu

We address the problem of safely learning controlled stochastic dynamics from discrete-time trajectory observations, ensuring system trajectories remain within predefined safe regions during both training and deployment. Safety-critical…

Machine Learning · Statistics 2026-02-03 Luc Brogat-Motte , Alessandro Rudi , Riccardo Bonalli

Approaches to keeping a dynamical system within state constraints typically rely on a model-based safety condition to limit the control signals. In the face of significant modeling uncertainty, the system can suffer from important…

Systems and Control · Electrical Eng. & Systems 2022-02-08 Marc-Antoine Beaudoin , Benoit Boulet

As autonomous systems become more complex and integral in our society, the need to accurately model and safely control these systems has increased significantly. In the past decade, there has been tremendous success in using deep learning…

Robotics · Computer Science 2024-09-10 Hao Wang , Javier Borquez , Somil Bansal

In many learning based control methodologies, learning the unknown dynamic model precedes the control phase, while the aim is to control the system such that it remains in some safe region of the state space. In this work, our aim is to…

Machine Learning · Computer Science 2021-05-14 Farhad Farokhi , Alex Leong , Iman Shames , Mohammad Zamani

Achieving both optimality and safety under unknown system dynamics is a central challenge in real-world deployment of agents. To address this, we introduce a notion of maximum safe dynamics learning, where sufficient exploration is…

Systems and Control · Electrical Eng. & Systems 2026-02-24 Manish Prajapat , Johannes Köhler , Melanie N. Zeilinger , Andreas Krause

We consider the problem of learning the dynamics of autonomous linear systems (i.e., systems that are not affected by external control inputs) from observations of multiple trajectories of those systems, with finite sample guarantees.…

Systems and Control · Electrical Eng. & Systems 2022-09-27 Lei Xin , George Chiu , Shreyas Sundaram

Safety is an essential component for deploying reinforcement learning (RL) algorithms in real-world scenarios, and is critical during the learning process itself. A natural first approach toward safe RL is to manually specify constraints on…

Machine Learning · Computer Science 2020-10-29 Krishnan Srinivasan , Benjamin Eysenbach , Sehoon Ha , Jie Tan , Chelsea Finn

Linear dynamical systems are canonical models for learning-based control of plants with uncertain dynamics. The setting consists of a stochastic differential equation that captures the state evolution of the plant understudy, while the true…

Systems and Control · Electrical Eng. & Systems 2022-01-03 Mohamad Kazem Shirani Faradonbeh , Mohamad Sadegh Shirani Faradonbeh

Safe deployment of autonomous robots in diverse scenarios requires agents that are capable of efficiently adapting to new environments while satisfying constraints. In this work, we propose a practical and theoretically-justified approach…

Robotics · Computer Science 2022-02-17 Thomas Lew , Apoorva Sharma , James Harrison , Andrew Bylard , Marco Pavone

Modern learning systems increasingly interact with data that evolve over time and depend on hidden internal state. We ask a basic question: when is such a dynamical system learnable from observations alone? This paper proposes a research…

Machine Learning · Computer Science 2025-12-23 Elad Hazan , Shai Shalev Shwartz , Nathan Srebro

We develop a control algorithm that ensures the safety, in terms of confinement in a set, of a system with unknown, 2nd-order nonlinear dynamics. The algorithm establishes novel connections between data-driven and robust, nonlinear control.…

Systems and Control · Electrical Eng. & Systems 2021-05-17 Christos K. Verginis , Franck Djeumou , Ufuk Topcu

Learning has propelled the cutting edge of performance in robotic control to new heights, allowing robots to operate with high performance in conditions that were previously unimaginable. The majority of the work, however, assumes that the…

Robotics · Computer Science 2018-03-13 Christopher D. McKinnon , Angela P. Schoellig

For safely applying reinforcement learning algorithms on high-dimensional nonlinear dynamical systems, a simplified system model is used to formulate a safe reinforcement learning framework. Based on the simplified system model, a…

Robotics · Computer Science 2021-09-09 Zhehua Zhou , Ozgur S. Oguz , Marion Leibold , Martin Buss

Safely exploring an unknown dynamical system is critical to the deployment of reinforcement learning (RL) in physical systems where failures may have catastrophic consequences. In scenarios where one knows little about the dynamics, diverse…

Machine Learning · Computer Science 2017-12-01 Tyler Lu , Martin Zinkevich , Craig Boutilier , Binz Roy , Dale Schuurmans

Machine-learning technologies for learning dynamical systems from data play an important role in engineering design. This research focuses on learning continuous linear models from data. Stability, a key feature of dynamic systems, is…

Machine Learning · Computer Science 2023-01-25 Pawan Goyal , Igor Pontes Duff , Peter Benner

This paper considers the problem of zero-shot safety guarantees for cascade dynamical systems. These are systems where a subset of the states (the inner states) affects the dynamics of the remaining states (the outer states) but not…

Artificial Intelligence · Computer Science 2026-04-14 Shima Rabiei , Sandipan Mishra , Santiago Paternain

Safety is a critical feature of controller design for physical systems. When designing control policies, several approaches to guarantee this aspect of autonomy have been proposed, such as robust controllers or control barrier functions.…

Machine Learning · Computer Science 2021-02-26 Miguel Calvo-Fullana , Luiz F. O. Chamon , Santiago Paternain

Learning-based methods have been successful in solving complex control tasks without significant prior knowledge about the system. However, these methods typically do not provide any safety guarantees, which prevents their use in…

Systems and Control · Computer Science 2018-11-08 Torsten Koller , Felix Berkenkamp , Matteo Turchetta , Andreas Krause

We study the fundamental problem of learning a marginally stable unknown nonlinear dynamical system. We describe an algorithm for this problem, based on the technique of spectral filtering, which learns a mapping from past observations to…

Machine Learning · Computer Science 2025-08-19 Evan Dogariu , Anand Brahmbhatt , Elad Hazan
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