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Many available formal verification methods have been shown to be instances of a unified Branch-and-Bound (BaB) formulation. We propose a novel machine learning framework that can be used for designing an effective branching strategy as well…

机器学习 · 计算机科学 2021-07-28 Florian Jaeckle , Jingyue Lu , M. Pawan Kumar

Finding minimum distortion of adversarial examples and thus certifying robustness in neural network classifiers for given data points is known to be a challenging problem. Nevertheless, recently it has been shown to be possible to give a…

机器学习 · 计算机科学 2018-11-05 Huan Zhang , Tsui-Wei Weng , Pin-Yu Chen , Cho-Jui Hsieh , Luca Daniel

In this work, we consider the problem of learning a feed-forward neural network controller to safely steer an arbitrarily shaped planar robot in a compact and obstacle-occluded workspace. Unlike existing methods that depend strongly on the…

系统与控制 · 电气工程与系统科学 2022-12-14 Panagiotis Vlantis , Leila J. Bridgeman , Michael M. Zavlanos

Neural network verification aims at providing formal guarantees on the output of trained neural networks, to ensure their robustness against adversarial examples and enable their deployment in safety-critical applications. This paper…

最优化与控制 · 数学 2024-04-02 Haoruo Zhao , Hassan Hijazi , Haydn Jones , Juston Moore , Mathieu Tanneau , Pascal Van Hentenryck

Neural network controllers are currently being proposed for use in many safety-critical tasks. Most analysis methods for neural network control systems assume a fixed control period. In control theory, higher frequency usually improves…

系统与控制 · 电气工程与系统科学 2024-07-29 Ali ArjomandBigdeli , Andrew Mata , Stanley Bak

Computational tools for rigorously verifying the performance of large-scale machine learning (ML) models have progressed significantly in recent years. The most successful solvers employ highly specialized, GPU-accelerated branch and bound…

机器学习 · 计算机科学 2023-09-11 Samuel Chevalier , Ilgiz Murzakhanov , Spyros Chatzivasileiadis

Complex and larger networks are becoming increasingly prevalent in scientific applications in various domains. Although a number of models and methods exist for such networks, cross-validation on networks remains challenging due to the…

统计方法学 · 统计学 2026-03-12 Sayan Chakrabarty , Srijan Sengupta , Yuguo Chen

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…

机器学习 · 计算机科学 2024-11-19 Junlin Wu , Huan Zhang , Yevgeniy Vorobeychik

Control Barrier Functions (CBFs) have been widely utilized in the design of optimization-based controllers and filters for dynamical systems to ensure forward invariance of a given set of safe states. While CBF-based controllers offer…

系统与控制 · 电气工程与系统科学 2025-04-14 Damola Ajeyemi , Saber Jafarpour , Emiliano Dall'Anese

Model-based reinforcement learning (RL) has emerged as a promising tool for developing controllers for real world systems (e.g., robotics, autonomous driving, etc.). However, real systems often have constraints imposed on their state space…

机器学习 · 计算机科学 2020-10-22 Akshita Gupta , Inseok Hwang

Verification of deep neural networks has witnessed a recent surge of interest, fueled by success stories in diverse domains and by abreast concerns about safety and security in envisaged applications. Complexity and sheer size of such…

机器学习 · 计算机科学 2020-03-18 Dario Guidotti , Francesco Leofante , Luca Pulina , Armando Tacchella

While artificial-intelligence-based methods suffer from lack of transparency, rule-based methods dominate in safety-critical systems. Yet, the latter cannot compete with the first ones in robustness to multiple requirements, for instance,…

人工智能 · 计算机科学 2022-02-01 Andrei Aksjonov , Ville Kyrki

In this paper we consider the safety verification and safe controller synthesis problems for nonlinear control systems. The Control Barrier Certificates (CBC) approach is proposed as an extension to the Barrier certificates approach. Our…

最优化与控制 · 数学 2022-04-22 Han Wang , Kostas Margellos , Antonis Papachristodoulou

Recent works have shown that interval bound propagation (IBP) can be used to train verifiably robust neural networks. Reseachers observe an intriguing phenomenon on these IBP trained networks: CROWN, a bounding method based on tight linear…

计算机视觉与模式识别 · 计算机科学 2021-06-17 Zhaoyang Lyu , Minghao Guo , Tong Wu , Guodong Xu , Kehuan Zhang , Dahua Lin

As machine learning is increasingly deployed in autonomous systems, verification of neural network controllers is becoming an active research domain. Existing tools and annual verification competitions suggest that soon this technology will…

This article describes a fully automated, credible autocoding chain for control systems. The framework generates code, along with guarantees of high level functional properties which can be independently verified. It relies on domain…

With deep neural networks providing state-of-the-art machine learning models for numerous machine learning tasks, quantifying the robustness of these models has become an important area of research. However, most of the research literature…

机器学习 · 计算机科学 2019-01-08 Tsui-Wei Weng , Pin-Yu Chen , Lam M. Nguyen , Mark S. Squillante , Ivan Oseledets , Luca Daniel

We study the problem of learning verifiably Lyapunov-stable neural controllers that provably satisfy the Lyapunov asymptotic stability condition within a region-of-attraction (ROA). Unlike previous works that adopted counterexample-guided…

机器学习 · 计算机科学 2026-04-07 Zhouxing Shi , Haoyu Li , Cho-Jui Hsieh , Huan Zhang

Although neural networks are widely used, it remains challenging to formally verify the safety and robustness of neural networks in real-world applications. Existing methods are designed to verify the network before deployment, which are…

机器学习 · 计算机科学 2023-02-06 Tianhao Wei , Changliu Liu

Recently, cutting-plane methods such as GCP-CROWN have been explored to enhance neural network verifiers and made significant advances. However, GCP-CROWN currently relies on generic cutting planes (cuts) generated from external mixed…

机器学习 · 计算机科学 2026-03-31 Duo Zhou , Christopher Brix , Grani A Hanasusanto , Huan Zhang