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Learning-based methods could provide solutions to many of the long-standing challenges in control. However, the neural networks (NNs) commonly used in modern learning approaches present substantial challenges for analyzing the resulting…

机器学习 · 计算机科学 2022-02-03 Michael Everett

Neural network verification is often used as a core component within larger analysis procedures, which generate sequences of closely related verification queries over the same network. In existing neural network verifiers, each query is…

计算机科学中的逻辑 · 计算机科学 2026-03-13 Raya Elsaleh , Liam Davis , Haoze Wu , Guy Katz

The success of Deep Learning and its potential use in many safety-critical applications has motivated research on formal verification of Neural Network (NN) models. Despite the reputation of learned NN models to behave as black boxes and…

人工智能 · 计算机科学 2018-05-23 Rudy Bunel , Ilker Turkaslan , Philip H. S. Torr , Pushmeet Kohli , M. Pawan Kumar

In this paper, we consider the computational complexity of formally verifying the behavior of Rectified Linear Unit (ReLU) Neural Networks (NNs), where verification entails determining whether the NN satisfies convex polytopic…

机器学习 · 计算机科学 2021-03-26 James Ferlez , Yasser Shoukry

Neural network verifiers based on linear bound propagation scale impressively to massive models but can be surprisingly loose when neuron coupling is crucial. Conversely, semidefinite programming (SDP) verifiers capture inter-neuron…

机器学习 · 计算机科学 2025-06-10 Hong-Ming Chiu , Hao Chen , Huan Zhang , Richard Y. Zhang

Convex relaxations are effective for training and certifying neural networks against norm-bounded adversarial attacks, but they leave a large gap between certifiable and empirical robustness. In principle, convex relaxation can provide…

机器学习 · 计算机科学 2020-02-25 Chen Zhu , Renkun Ni , Ping-yeh Chiang , Hengduo Li , Furong Huang , Tom Goldstein

We present an approach for the verification of feed-forward neural networks in which all nodes have a piece-wise linear activation function. Such networks are often used in deep learning and have been shown to be hard to verify for modern…

计算机科学中的逻辑 · 计算机科学 2017-08-03 Ruediger Ehlers

Formal verification is only as good as the specification of a system, which is also true for neural network verification. Existing specifications follow the paradigm of data as specification, where the local neighborhood around a reference…

机器学习 · 计算机科学 2025-03-17 Chuqin Geng , Zhaoyue Wang , Haolin Ye , Xujie Si

With the rapid development of deep learning, the sizes of neural networks become larger and larger so that the training and inference often overwhelm the hardware resources. Given the fact that neural networks are often over-parameterized,…

机器学习 · 计算机科学 2022-06-20 Zhangheng Li , Tianlong Chen , Linyi Li , Bo Li , Zhangyang Wang

We describe a method for verifying the output of a deep neural network for medical image segmentation that is robust to several classes of random as well as worst-case perturbations i.e. adversarial attacks. This method is based on a…

计算机视觉与模式识别 · 计算机科学 2023-12-21 Fahim Ahmed Zaman , Xiaodong Wu , Weiyu Xu , Milan Sonka , Raghuraman Mudumbai

The increasing use of deep neural networks for safety-critical applications, such as autonomous driving and flight control, raises concerns about their safety and reliability. Formal verification can address these concerns by guaranteeing…

人工智能 · 计算机科学 2018-02-06 Lindsey Kuper , Guy Katz , Justin Gottschlich , Kyle Julian , Clark Barrett , Mykel Kochenderfer

Deep neural networks have emerged as a widely used and effective means for tackling complex, real-world problems. However, a major obstacle in applying them to safety-critical systems is the great difficulty in providing formal guarantees…

人工智能 · 计算机科学 2017-05-22 Guy Katz , Clark Barrett , David Dill , Kyle Julian , Mykel Kochenderfer

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

Neural networks have demonstrated considerable success on a wide variety of real-world problems. However, networks trained only to optimize for training accuracy can often be fooled by adversarial examples - slightly perturbed inputs that…

机器学习 · 计算机科学 2019-02-19 Vincent Tjeng , Kai Xiao , Russ Tedrake

Fairness is crucial for neural networks which are used in applications with important societal implication. Recently, there have been multiple attempts on improving fairness of neural networks, with a focus on fairness testing (e.g.,…

机器学习 · 计算机科学 2021-07-20 Bing Sun , Jun Sun , Ting Dai , Lijun Zhang

Machine learning techniques often lack formal correctness guarantees, evidenced by the widespread adversarial examples that plague most deep-learning applications. This lack of formal guarantees resulted in several research efforts that aim…

机器学习 · 计算机科学 2024-06-11 Anahita Baninajjar , Ahmed Rezine , Amir Aminifar

Certifiable robustness is a highly desirable property for adopting deep neural networks (DNNs) in safety-critical scenarios, but often demands tedious computations to establish. The main hurdle lies in the massive amount of non-linearity in…

机器学习 · 计算机科学 2022-06-17 Tianlong Chen , Huan Zhang , Zhenyu Zhang , Shiyu Chang , Sijia Liu , Pin-Yu Chen , Zhangyang Wang

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…

密码学与安全 · 计算机科学 2022-05-17 Long H. Pham , Jun Sun

Since graph neural networks (GNNs) are often vulnerable to attack, we need to know when we can trust them. We develop a computationally effective approach towards providing robust certificates for message-passing neural networks (MPNNs)…

最优化与控制 · 数学 2024-05-22 Christopher Hojny , Shiqiang Zhang , Juan S. Campos , Ruth Misener

Deep neural networks (DNNs) enable high performance across domains but remain vulnerable to adversarial perturbations, limiting their use in safety-critical settings. Here, we introduce two quantum-optimization-based models for robust…

机器学习 · 计算机科学 2026-03-03 Wenxin Li , Wenchao Liu , Chuan Wang , Qi Gao , Yin Ma , Hai Wei , Kai Wen