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Verification of Neural Networks (NNs) that approximate the solution of Partial Differential Equations (PDEs) is a major milestone towards enhancing their trustworthiness and accelerating their deployment, especially for safety-critical…

系统与控制 · 电气工程与系统科学 2024-02-13 Petros Ellinas , Rahul Nellikath , Ignasi Ventura , Jochen Stiasny , Spyros Chatzivasileiadis

Safety is often the most important requirement in robotics applications. Nonetheless, control techniques that can provide safety guarantees are still extremely rare for nonlinear systems, such as robot manipulators. A well-known tool to…

机器人学 · 计算机科学 2024-10-28 Asia La Rocca , Matteo Saveriano , Andrea Del Prete

Neural networks are now extensively used in perception, prediction and control of autonomous systems. Their deployment in safety-critical systems brings forth the need for verification techniques for such networks. As an alternative to…

人工智能 · 计算机科学 2021-04-27 Moumita Das , Rajarshi Ray , Swarup Kumar Mohalik , Ansuman Banerjee

Challenges related to automated driving are no longer focused on just the construction of such automated vehicles (AVs), but in assuring the safety of their operation. Recent advances in Level 3 and Level 4 autonomous driving have motivated…

系统与控制 · 电气工程与系统科学 2022-05-09 Tong Zhao , Ekim Yurtsever , Joel Paulson , Giorgio Rizzoni

Safe autonomous landing in urban cities is a necessity for the growing Unmanned Aircraft Systems (UAS) industry. In urgent situations, building rooftops, particularly flat rooftops, can provide local safe landing zones for small UAS. This…

机器人学 · 计算机科学 2019-03-12 Jeremy Castagno , Yu Yao , Ella Atkins

This work proposes a safety-critical local reactive controller that enables the robot to navigate in unknown and cluttered environments. In particular, the trajectory tracking task is formulated as a constrained polynomial optimization…

机器人学 · 计算机科学 2023-10-10 Yulin Li , Xindong Tang , Kai Chen , Chunxin Zheng , Haichao Liu , Jun Ma

In this paper, we consider the problem of certifying the robustness of neural networks to perturbed and adversarial input data. Such certification is imperative for the application of neural networks in safety-critical decision-making and…

机器学习 · 计算机科学 2020-09-21 Brendon G. Anderson , Ziye Ma , Jingqi Li , Somayeh Sojoudi

Verification of numerical accuracy properties in modern software remains an important and challenging task. This paper describes an original framework combining different solutions for numerical accuracy. First, we extend an existing…

软件工程 · 计算机科学 2019-11-26 Maxime Jacquemin , Fonenantsoa Maurica , Nikolai Kosmatov , Julien Signoles , Franck Védrine

Boundary incompleteness raises great challenges to automatic prostate segmentation in ultrasound images. Shape prior can provide strong guidance in estimating the missing boundary, but traditional shape models often suffer from hand-crafted…

计算机视觉与模式识别 · 计算机科学 2016-12-07 Xin Yang , Lequan Yu , Lingyun Wu , Yi Wang , Dong Ni , Jing Qin , Pheng-Ann Heng

Rigorous testing of autonomous robots, such as self-driving vehicles, is essential to ensure their safety in real-world deployments. This requires building high-fidelity simulators to test scenarios beyond those that can be safely or…

计算机视觉与模式识别 · 计算机科学 2026-03-31 Haithem Turki , Qi Wu , Xin Kang , Janick Martinez Esturo , Shengyu Huang , Ruilong Li , Zan Gojcic , Riccardo de Lutio

This work presents several improvements to the closed-loop stability verification framework using semialgebraic sets and convex semidefinite programming to examine neural-network-based control systems regulating nonlinear dynamical systems.…

系统与控制 · 电气工程与系统科学 2025-07-15 Alvaro Detailleur , Guillaume Ducard , Christopher Onder

This paper focuses on finding reinforcement learning policies for control systems with hard state and action constraints. Despite its success in many domains, reinforcement learning is challenging to apply to problems with hard constraints,…

机器学习 · 计算机科学 2020-03-24 Liyuan Zheng , Yuanyuan Shi , Lillian J. Ratliff , Baosen Zhang

In this paper, we describe a novel approach for checking safety specifications of a dynamical system with exogenous inputs over infinite time horizon that is guaranteed to terminate in finite time with a conclusive answer. We introduce the…

最优化与控制 · 数学 2008-01-04 Amit Bhatia , Emilio Frazzoli

The deployment of Artificial Neural Networks (ANNs) in safety-critical applications poses a number of new verification and certification challenges. In particular, for ANN-enabled self-driving vehicles it is important to establish…

机器学习 · 计算机科学 2017-07-06 Chih-Hong Cheng , Georg Nührenberg , Harald Ruess

Ensuring that autonomous space robot control software behaves as it should is crucial, particularly as software failure in space often equates to mission failure and could potentially endanger nearby astronauts and costly equipment. To…

Widespread adoption of autonomous cars will require greater confidence in their safety than is currently possible. Certified control is a new safety architecture whose goal is two-fold: to achieve a very high level of safety, and to provide…

The Neural Network (NN), as a black-box function approximator, has been considered in many control and robotics applications. However, difficulties in verifying the overall system safety in the presence of uncertainties hinder the…

机器人学 · 计算机科学 2024-05-21 Xiao Li , Yutong Li , Anouck Girard , Ilya Kolmanovsky

We introduce a numerical framework to verify the finite step convergence of first-order methods for parametric convex quadratic optimization. We formulate the verification problem as a mathematical optimization problem where we maximize a…

最优化与控制 · 数学 2025-04-18 Vinit Ranjan , Bartolomeo Stellato

Sufficiently accurate finite state models, also called symbolic models or discrete abstractions, allow one to apply fully automated methods, originally developed for purely discrete systems, to formally reason about continuous and hybrid…

最优化与控制 · 数学 2011-11-03 Gunther Reißig

Neural abstractions have been recently introduced as formal approximations of complex, nonlinear dynamical models. They comprise a neural ODE and a certified upper bound on the error between the abstract neural network and the concrete…

计算机科学中的逻辑 · 计算机科学 2023-10-03 Alec Edwards , Mirco Giacobbe , Alessandro Abate