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相关论文: Safety verification of Neural-Network-based contro…

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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…

This paper studies the approximation property of ReLU neural networks (NNs) to piecewise constant functions with unknown interfaces in bounded regions in $\mathbb{R}^d$. Under the assumption that the discontinuity interface $\Gamma$ may be…

泛函分析 · 数学 2024-10-23 Zhiqiang Cai , Junpyo Choi , Min Liu

This paper proposes a computationally efficient framework, based on interval analysis, for rigorous verification of nonlinear continuous-time dynamical systems with neural network controllers. Given a neural network, we use an existing…

系统与控制 · 电气工程与系统科学 2023-08-08 Saber Jafarpour , Akash Harapanahalli , Samuel Coogan

In this paper, we extend an available neural network verification technique to support a wider class of piece-wise linear activation functions. Furthermore, we extend the algorithms, which provide in their original form exact respectively…

机器学习 · 计算机科学 2023-11-21 László Antal , Hana Masara , Erika Ábrahám

Safety control of dynamical systems using barrier functions relies on knowing the full state information. This paper introduces a novel approach for safety control in uncertain MIMO systems with partial state information. The proposed…

系统与控制 · 电气工程与系统科学 2024-10-01 Binghan He , Takashi Tanaka

The decision logic for the ACAS X family of aircraft collision avoidance systems is represented as a large numeric table. Due to storage constraints of certified avionics hardware, neural networks have been suggested as a way to…

系统与控制 · 电气工程与系统科学 2020-05-07 Kyle D. Julian , Mykel J. Kochenderfer

Practitioners often rely on compute-intensive domain randomization to ensure reinforcement learning policies trained in simulation can robustly transfer to the real world. Due to unmodeled nonlinearities in the real system, however, even…

机器学习 · 计算机科学 2020-02-27 Gabriel I. Fernandez , Colin Togashi , Dennis W. Hong , Lin F. Yang

This paper introduces differentiable higher-order control barrier functions (CBF) that are end-to-end trainable together with learning systems. CBFs are usually overly conservative, while guaranteeing safety. Here, we address their…

机器学习 · 计算机科学 2021-11-23 Wei Xiao , Ramin Hasani , Xiao Li , Daniela Rus

Verifying set invariance has classical solutions stemming from the seminal work by Nagumo, and defining sets via a smooth barrier function constraint inequality results in computable flow conditions for guaranteeing set invariance. While a…

系统与控制 · 电气工程与系统科学 2020-05-26 Rohit Konda , Aaron D. Ames , Samuel Coogan

Formal verification provides critical security assurances for neural networks, yet its practical application suffers from the long verification time. This work introduces a novel method for training verification-friendly neural networks,…

机器学习 · 计算机科学 2024-12-31 Zongxin Liu , Zhe Zhao , Fu Song , Jun Sun , Pengfei Yang , Xiaowei Huang , Lijun Zhang

Neural networks are vulnerable to adversarial attacks, i.e., small input perturbations can significantly affect the outputs of a neural network. Therefore, to ensure safety of neural networks in safety-critical environments, the robustness…

机器学习 · 计算机科学 2025-08-06 Lukas Koller , Tobias Ladner , Matthias Althoff

In this work we provide a computationally tractable procedure for designing affine control policies, applied to constrained, discrete-time, partially observable, linear systems subject to set bounded disturbances, stochastic noise and…

最优化与控制 · 数学 2018-11-27 Georgios Kotsalis , Guanghui Lan

Solving nonlinear model predictive control problems in real time is still an important challenge despite of recent advances in computing hardware, optimization algorithms and tailored implementations. This challenge is even greater when…

系统与控制 · 电气工程与系统科学 2021-09-23 Benjamin Karg , Teodoro Alamo , Sergio Lucia

A learning method is proposed for Koopman operator-based models with the goal of improving closed-loop control behavior. A neural network-based approach is used to discover a space of observables in which nonlinear dynamics is linearly…

最优化与控制 · 数学 2023-03-23 Daisuke Uchida , Karthik Duraisamy

Real-world control applications in complex and uncertain environments require adaptability to handle model uncertainties and robustness against disturbances. This paper presents an online, output-feedback, critic-only, model-based…

系统与控制 · 电气工程与系统科学 2023-04-04 Tochukwu Elijah Ogri , S. M. Nahid Mahmud , Zachary I. Bell , Rushikesh Kamalapurkar

Deploying deep neural networks (DNNs) as core functions in autonomous driving creates unique verification and validation challenges. In particular, the continuous engineering paradigm of gradually perfecting a DNN-based perception can make…

机器学习 · 计算机科学 2021-09-28 Chih-Hong Cheng , Rongjie Yan

We present a novel methodology for repairing neural networks that use ReLU activation functions. Unlike existing methods that rely on modifying the weights of a neural network which can induce a global change in the function space, our…

机器学习 · 计算机科学 2022-07-25 Feisi Fu , Wenchao Li

We consider the problem of safety verification and safety-aware controller synthesis for systems with sector bounded nonlinearities. We aim to keep the states of the system within a given safe set under potential actuator and sensor…

系统与控制 · 电气工程与系统科学 2025-04-15 Yankai Lin , Michelle S. Chong , Carlos Murguia

Industrial control applications require high performance under strict constraints. Control barrier functions (CBFs) provide principled safety mechanisms, but constructing CBF-based safety filters for large-scale systems is challenging. We…

系统与控制 · 电气工程与系统科学 2026-02-09 Kim P. Wabersich , Felix Berkel , Felix Gruber , Sven Reimann

Ensuring safety for black-box hybrid dynamical systems presents significant challenges due to their instantaneous state jumps and unknown explicit nonlinear dynamics. Existing solutions for strict safety constraint satisfaction, like…

机器人学 · 计算机科学 2026-04-27 Aayushi Shrivastava , Kartik Nagpal , Sairam Jinkala , Jean-Baptiste Bouvier , Negar Mehr
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