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There has been an increasing interest in using neural networks in closed-loop control systems to improve performance and reduce computational costs for on-line implementation. However, providing safety and stability guarantees for these…

Systems and Control · Electrical Eng. & Systems 2020-04-20 Haimin Hu , Mahyar Fazlyab , Manfred Morari , George J. Pappas

Context: Neural Network (NN) algorithms have been successfully adopted in a number of Safety-Critical Cyber-Physical Systems (SCCPSs). Testing and Verification (T&V) of NN-based control software in safety-critical domains are gaining…

Machine Learning · Computer Science 2020-03-23 Jin Zhang , Jingyue Li

Neural Networks (NNs) have been successfully employed to represent the state evolution of complex dynamical systems. Such models, referred to as NN dynamic models (NNDMs), use iterative noisy predictions of NN to estimate a distribution of…

Systems and Control · Electrical Eng. & Systems 2025-05-27 Rayan Mazouz , Karan Muvvala , Akash Ratheesh , Luca Laurenti , Morteza Lahijanian

Neural networks have achieved state-of-the-art performance in solving many problems, including many applications in safety/security-critical systems. Researchers also discovered multiple security issues associated with neural networks. One…

Cryptography and Security · Computer Science 2022-05-17 Long H. Pham , Jun Sun

We present the first automated verification technique for confidence-based 2-safety properties, such as global robustness and global fairness, in deep neural networks (DNNs). Our approach combines self-composition to leverage existing…

Logic in Computer Science · Computer Science 2024-09-04 Anagha Athavale , Ezio Bartocci , Maria Christakis , Matteo Maffei , Dejan Nickovic , Georg Weissenbacher

Ensuring safety in autonomous systems with vision-based control remains a critical challenge due to the high dimensionality of image inputs and the fact that the relationship between true system state and its visual manifestation is…

Robotics · Computer Science 2025-11-12 Xinhang Ma , Junlin Wu , Hussein Sibai , Yiannis Kantaros , Yevgeniy Vorobeychik

Training Neural Networks (NNs) to serve as Barrier Functions (BFs) is a popular way to improve the safety of autonomous dynamical systems. Despite significant practical success, these methods are not generally guaranteed to produce true BFs…

Machine Learning · Computer Science 2025-01-28 Goli Vaisi , James Ferlez , Yasser Shoukry

Certifying the safety or robustness of neural networks against input uncertainties and adversarial attacks is an emerging challenge in the area of safe machine learning and control. To provide such a guarantee, one must be able to bound the…

Optimization and Control · Mathematics 2021-09-16 Mahyar Fazlyab , Manfred Morari , George J. Pappas

Deploying autonomous systems in safety critical settings necessitates methods to verify their safety properties. This is challenging because real-world systems may be subject to disturbances that affect their performance, but are unknown a…

Systems and Control · Electrical Eng. & Systems 2024-02-15 Nicholas Rober , Karan Mahesh , Tyler M. Paine , Max L. Greene , Steven Lee , Sildomar T. Monteiro , Michael R. Benjamin , Jonathan P. How

Deep neural networks have become widely used, obtaining remarkable results in domains such as computer vision, speech recognition, natural language processing, audio recognition, social network filtering, machine translation, and…

Neural and Evolutionary Computing · Computer Science 2020-02-03 Divya Gopinath , Guy Katz , Corina S. Pasareanu , Clark Barrett

Deep Neural Networks (DNNs) have emerged as a powerful mechanism and are being increasingly deployed in real-world safety-critical domains. Despite the widespread success, their complex architecture makes proving any formal guarantees about…

Machine Learning · Computer Science 2020-03-26 Saket Dingliwal , Divyansh Pareek , Jatin Arora

Neural networks have been widely used to solve complex real-world problems. Due to the complicate, nonlinear, non-convex nature of neural networks, formal safety guarantees for the output behaviors of neural networks will be crucial for…

Machine Learning · Computer Science 2017-12-25 Weiming Xiang , Hoang-Dung Tran , Taylor T. Johnson

Bayesian neural networks (BNNs) place distributions over the weights of a neural network to model uncertainty in the data and the network's prediction. We consider the problem of verifying safety when running a Bayesian neural network…

Machine Learning · Computer Science 2021-11-08 Mathias Lechner , Đorđe Žikelić , Krishnendu Chatterjee , Thomas A. Henzinger

We propose a methodology for designing dependable Artificial Neural Networks (ANN) by extending the concepts of understandability, correctness, and validity that are crucial ingredients in existing certification standards. We apply the…

In this paper we investigate formal verification problems for Neural Network computations. Various reachability problems will be in the focus, such as: Given symbolic specifications of allowed inputs and outputs in form of Linear…

Computational Complexity · Computer Science 2023-06-12 Adrian Wurm

This paper poses a theoretical characterization of the stochastic reachability problem in terms of probability measures, capturing the probability measure of the state of the system that satisfies the reachability specification for all…

Optimization and Control · Mathematics 2024-12-13 Karthik Sivaramakrishnan , Vignesh Sivaramakrishnan , Rosalyn Alex Devonport , Meeko M. K. Oishi

Learning reliably safe autonomous control is one of the core problems in trustworthy autonomy. However, training a controller that can be formally verified to be safe remains a major challenge. We introduce a novel approach for learning…

Machine Learning · Computer Science 2024-11-19 Junlin Wu , Huan Zhang , Yevgeniy Vorobeychik

Safe navigation in cluttered environments is an important challenge for autonomous systems. Robots navigating through obstacle ridden scenarios need to be able to navigate safely in the presence of obstacles, goals, and ego objects of…

Systems and Control · Electrical Eng. & Systems 2026-05-05 Omanshu Thapliyal , Malarvizhi Sankaranarayanasamy , Ravigopal Vennelakanti

This paper addresses the problem of formally verifying desirable properties of neural networks, i.e., obtaining provable guarantees that neural networks satisfy specifications relating their inputs and outputs (robustness to bounded norm…

Machine Learning · Computer Science 2018-08-06 Krishnamurthy , Dvijotham , Robert Stanforth , Sven Gowal , Timothy Mann , Pushmeet Kohli

This work in progress paper introduces robustness verification for autoencoder-based regression neural network (NN) models, following state-of-the-art approaches for robustness verification of image classification NNs. Despite the ongoing…

Machine Learning · Computer Science 2022-07-15 Neelanjana Pal , Taylor T Johnson