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Neural networks offer a computationally efficient approximation of model predictive control, but they lack guarantees on the resulting controlled system's properties. Formal certification of neural networks is crucial for ensuring safety,…

Optimization and Control · Mathematics 2025-02-05 Philip Sosnin , Calvin Tsay

Neural certificates have emerged as a powerful tool in cyber-physical systems control, providing witnesses of correctness. These certificates, such as barrier functions, often learned alongside control policies, once verified, serve as…

Symbolic Computation · Computer Science 2025-07-17 Thomas A. Henzinger , Konstantin Kueffner , Emily Yu

An emerging branch of control theory specialises in certificate learning, concerning the specification of a desired (possibly complex) system behaviour for an autonomous or control model, which is then analytically verified by means of a…

Systems and Control · Electrical Eng. & Systems 2024-10-29 Alec Edwards , Andrea Peruffo , Alessandro Abate

Model-based control is a popular paradigm for robot navigation because it can leverage a known dynamics model to efficiently plan robust robot trajectories. However, it is challenging to use model-based methods in settings where the…

Robotics · Computer Science 2019-07-19 Somil Bansal , Varun Tolani , Saurabh Gupta , Jitendra Malik , Claire Tomlin

In autonomous driving, perception systems are piv otal as they interpret sensory data to understand the envi ronment, which is essential for decision-making and planning. Ensuring the safety of these perception systems is fundamental for…

Robotics · Computer Science 2024-11-19 Urvishkumar Bharti , Vikram Shahapur

Most current single image camera calibration methods rely on specific image features or user input, and cannot be applied to natural images captured in uncontrolled settings. We propose directly inferring camera calibration parameters from…

Computer Vision and Pattern Recognition · Computer Science 2018-04-24 Yannick Hold-Geoffroy , Kalyan Sunkavalli , Jonathan Eisenmann , Matt Fisher , Emiliano Gambaretto , Sunil Hadap , Jean-François Lalonde

Artificial intelligence (AI) systems power the world we live in. Deep neural networks (DNNs) are able to solve tasks in an ever-expanding landscape of scenarios, but our eagerness to apply these powerful models leads us to focus on their…

Computer Vision and Pattern Recognition · Computer Science 2022-04-22 Loris Giulivi , Mark James Carman , Giacomo Boracchi

We develop the first (to the best of our knowledge) provably correct neural networks for a precise computational task, with the proof of correctness generated by an automated verification algorithm without any human input. Prior work on…

Machine Learning · Computer Science 2024-05-09 Rudy Bunel , Krishnamurthy Dvijotham , M. Pawan Kumar , Alessandro De Palma , Robert Stanforth

We propose a new technique for performing state space exploration of closed loop control systems with neural network feedback controllers. Our approach involves approximating the sensitivity of the trajectories of the closed loop dynamics.…

Systems and Control · Electrical Eng. & Systems 2022-07-11 Manish Goyal , Miheer Dewaskar , Parasara Sridhar Duggirala

The well-known quote from George Box states that: "All models are wrong, but some are useful." To develop more useful models, we quantify the inaccuracy with which a given model represents a system of interest, so that we may leverage this…

Systems and Control · Electrical Eng. & Systems 2022-09-21 Prithvi Akella , Wyatt Ubellacker , Aaron D. Ames

Several methods have been proposed recently to learn neural network (NN) controllers for autonomous agents, with unknown and stochastic dynamics, tasked with complex missions captured by Linear Temporal Logic (LTL). Due to the…

Robotics · Computer Science 2023-11-23 Jun Wang , Haojun Chen , Zihe Sun , Yiannis Kantaros

We present a motion planning algorithm for a class of uncertain control-affine nonlinear systems which guarantees runtime safety and goal reachability when using high-dimensional sensor measurements (e.g., RGB-D images) and a learned…

Robotics · Computer Science 2022-08-25 Glen Chou , Necmiye Ozay , Dmitry Berenson

In this paper, we present an approach for designing correct-by-design controllers for cyber-physical systems composed of multiple dynamically interconnected uncertain systems. We consider networked discrete-time uncertain nonlinear systems…

Systems and Control · Electrical Eng. & Systems 2023-09-06 Oliver Schön , Birgit van Huijgevoort , Sofie Haesaert , Sadegh Soudjani

Autonomous systems operating in unknown environments often rely heavily on visual sensor data, yet making safe and informed control decisions based on these measurements remains a significant challenge. To facilitate the integration of…

Systems and Control · Electrical Eng. & Systems 2025-08-05 Jelena Trisovic , Andrea Carron , Melanie N. Zeilinger

Neural networks (NNs) are increasingly applied in safety-critical systems such as autonomous vehicles. However, they are fragile and are often ill-behaved. Consequently, their behaviors should undergo rigorous guarantees before deployment…

Artificial Intelligence · Computer Science 2022-10-11 Zhen Liang , Dejin Ren , Wanwei Liu , Ji Wang , Wenjing Yang , Bai Xue

Reliable perception is fundamental for safety critical decision making in autonomous driving. Yet, vision based object detector neural networks remain vulnerable to uncertainty arising from issues such as data bias and distributional…

Computer Vision and Pattern Recognition · Computer Science 2025-10-21 Nishad Sahu , Shounak Sural , Aditya Satish Patil , Ragunathan , Rajkumar

Developing and evaluating vision science methods require robust and efficient tools for assessing their performance in various real-world scenarios. This study presents a novel virtual reality (VR) simulation tool that simulates real-world…

Computer Vision and Pattern Recognition · Computer Science 2023-12-04 Benedikt W. Hosp , Martin Dechant , Yannick Sauer , Rajat Agarwala , Siegfried Wahl

Formal verification of neuro-symbolic cyber-physical systems, such as drones, medical devices and robots, is complicated. Neural components must be trained to be optimal with respect to the available data as well as the safety…

The difficulty of optimal control problems has classically been characterized in terms of system properties such as minimum eigenvalues of controllability/observability gramians. We revisit these characterizations in the context of the…

Machine Learning · Computer Science 2021-04-05 Jingxi Xu , Bruce Lee , Nikolai Matni , Dinesh Jayaraman

Much research in the last two decades has focused on Virtual Topology Reconfiguration (VTR) problem. However, most of the proposed methods either has low controllability, or the analysis of a control parameter is limited to empirical…

Networking and Internet Architecture · Computer Science 2015-01-26 Y. Sinan Hanay , Shinichi Arakawa , Masayuki Murata