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This paper proposes a Recurrent Neural Network (RNN) controller for lane-keeping systems, effectively handling model uncertainties and disturbances. First, quadratic constraints cover the nonlinearities brought by the RNN controller, and…

系统与控制 · 电气工程与系统科学 2023-09-19 Ying Shuai Quan , Jin Sung Kim , Chung Choo Chung

Contraction metrics are crucial in control theory because they provide a powerful framework for analyzing stability, robustness, and convergence of various dynamical systems. However, identifying these metrics for complex nonlinear systems…

最优化与控制 · 数学 2025-04-25 Haoyu Li , Xiangru Zhong , Bin Hu , Huan Zhang

Formal verification has emerged as a powerful approach to ensure the safety and reliability of deep neural networks. However, current verification tools are limited to only a handful of properties that can be expressed as first-order…

人工智能 · 计算机科学 2022-03-03 Xuan Xie , Kristian Kersting , Daniel Neider

As deep neural networks (DNNs) are becoming the prominent solution for many computational problems, the aviation industry seeks to explore their potential in alleviating pilot workload and in improving operational safety. However, the use…

计算机视觉与模式识别 · 计算机科学 2024-08-07 Yizhak Elboher , Raya Elsaleh , Omri Isac , Mélanie Ducoffe , Audrey Galametz , Guillaume Povéda , Ryma Boumazouza , Noémie Cohen , Guy Katz

Convolutional Neural Networks (CNN) for object detection, lane detection, and segmentation now sit at the head of most autonomy pipelines, and yet, their safety analysis remains an important challenge. Formal analysis of perception models…

机器人学 · 计算机科学 2023-09-13 Chiao Hsieh , Keyur Joshi , Sasa Misailovic , Sayan Mitra

Deep reinforcement learning has been successfully applied to many control tasks, but the application of such agents in safety-critical scenarios has been limited due to safety concerns. Rigorous testing of these controllers is challenging,…

人工智能 · 计算机科学 2020-07-09 Edoardo Bacci , David Parker

This paper proposes a novel approach to improve the performance of distributed nonlinear control systems while preserving stability by leveraging Deep Neural Networks (DNNs). We build upon the Neural System Level Synthesis (Neur-SLS)…

最优化与控制 · 数学 2024-08-01 Danilo Saccani , Leonardo Massai , Luca Furieri , Giancarlo Ferrari-Trecate

This paper aims to enhance the computational efficiency of safety verification of neural network control systems by developing a guaranteed neural network model reduction method. First, a concept of model reduction precision is proposed to…

机器学习 · 计算机科学 2023-01-19 Weiming Xiang , Zhongzhu Shao

The research area of Networked Control Systems (NCS) has been the topic of intensive study in the last decade. In this paper we give a contribution to this research line by addressing symbolic control design of (possibly unstable) nonlinear…

系统与控制 · 计算机科学 2012-09-05 Alessandro Borri , Giordano Pola , Maria D. Di Benedetto

With the rapid growth of machine learning, deep neural networks (DNNs) are now being used in numerous domains. Unfortunately, DNNs are "black-boxes", and cannot be interpreted by humans, which is a substantial concern in safety-critical…

机器学习 · 计算机科学 2023-02-10 Shahaf Bassan , Guy Katz

Deep Neural Networks (DNN) will emerge as a cornerstone in automotive software engineering. However, developing systems with DNNs introduces novel challenges for safety assessments. This paper reviews the state-of-the-art in verification…

Deep reinforcement learning (DRL) has become a dominant deep-learning paradigm for tasks where complex policies are learned within reactive systems. Unfortunately, these policies are known to be susceptible to bugs. Despite significant…

机器人学 · 计算机科学 2023-01-12 Guy Amir , Davide Corsi , Raz Yerushalmi , Luca Marzari , David Harel , Alessandro Farinelli , Guy Katz

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…

机器学习 · 计算机科学 2024-05-09 Rudy Bunel , Krishnamurthy Dvijotham , M. Pawan Kumar , Alessandro De Palma , Robert Stanforth

Identifying safe areas is a key point to guarantee trust for systems that are based on Deep Neural Networks (DNNs). To this end, we introduce the AllDNN-Verification problem: given a safety property and a DNN, enumerate the set of all the…

机器学习 · 计算机科学 2024-02-21 Luca Marzari , Davide Corsi , Enrico Marchesini , Alessandro Farinelli , Ferdinando Cicalese

Semantic segmentation networks (SSNs) are central to safety-critical applications such as medical imaging and autonomous driving, where robustness under uncertainty is essential. However, existing probabilistic verification methods often…

计算机视觉与模式识别 · 计算机科学 2025-11-18 Navid Hashemi , Samuel Sasaki , Diego Manzanas Lopez , Lars Lindemann , Ipek Oguz , Meiyi Ma , Taylor T. Johnson

Deep Neural Networks (DNN) are crucial in approximating nonlinear functions across diverse applications, ranging from image classification to control. Verifying specific input-output properties can be a highly challenging task due to the…

机器学习 · 计算机科学 2025-07-22 Tianhao Wei , Hanjiang Hu , Luca Marzari , Kai S. Yun , Peizhi Niu , Xusheng Luo , Changliu Liu

Neural networks achieve strong empirical performance, but robustness concerns still hinder deployment in safety-critical applications. Formal verification provides robustness guarantees, but current methods face a scalability-completeness…

机器学习 · 计算机科学 2026-02-06 Wenting Li , Saif R. Kazi , Russell Bent , Duo Zhou , Huan Zhang

Geometric image transformations that arise in the real world, such as scaling and rotation, have been shown to easily deceive deep neural networks (DNNs). Hence, training DNNs to be certifiably robust to these perturbations is critical.…

机器学习 · 计算机科学 2023-05-09 Rem Yang , Jacob Laurel , Sasa Misailovic , Gagandeep Singh

Deep neural networks (DNNs) have been shown lack of robustness for the vulnerability of their classification to small perturbations on the inputs. This has led to safety concerns of applying DNNs to safety-critical domains. Several…

机器学习 · 计算机科学 2021-02-24 Jianlin Li , Pengfei Yang , Jiangchao Liu , Liqian Chen , Xiaowei Huang , Lijun Zhang

Deep neural networks are known to be fragile to small adversarial perturbations. This issue becomes more critical when a neural network is interconnected with a physical system in a closed loop. In this paper, we show how to combine recent…

机器学习 · 计算机科学 2019-08-20 Yuh-Shyang Wang , Tsui-Wei Weng , Luca Daniel