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We study the problem of formal verification of Binarized Neural Networks (BNN), which have recently been proposed as a energy-efficient alternative to traditional learning networks. The verification of BNNs, using the reduction to hardware…

Software Engineering · Computer Science 2018-01-22 Chih-Hong Cheng , Georg Nührenberg , Chung-Hao Huang , Harald Ruess

Deep Neural Networks (DNNs) have become key components of many safety-critical applications such as autonomous driving and medical diagnosis. However, DNNs have been shown suffering from poor robustness because of their susceptibility to…

Machine Learning · Computer Science 2020-07-28 Wenjie Wan , Zhaodi Zhang , Yiwei Zhu , Min Zhang , Fu Song

The existence of adversarial examples poses a real danger when deep neural networks are deployed in the real world. The go-to strategy to quantify this vulnerability is to evaluate the model against specific attack algorithms. This approach…

Machine Learning · Computer Science 2021-06-08 Kevin Roth

The growing reliance on artificial intelligence in safety- and security-critical applications is raising concerns about the robustness of neural networks to erroneous or adversarial input. Certification is a methodology for ensuring model…

Machine Learning · Computer Science 2026-05-01 Anton Björklund , Mykola Zaitsev , Paolo Morettin , Marta Kwiatkowska

Deep neural network (DNN) verification is an emerging field, with diverse verification engines quickly becoming available. Demonstrating the effectiveness of these engines on real-world DNNs is an important step towards their wider…

Logic in Computer Science · Computer Science 2020-08-11 Sumathi Gokulanathan , Alexander Feldsher , Adi Malca , Clark Barrett , Guy Katz

Neural networks have become state-of-the-art for computer vision problems because of their ability to efficiently model complex functions from large amounts of data. While neural networks can be shown to perform well empirically for a…

Robotics · Computer Science 2020-03-06 Kyle D. Julian , Ritchie Lee , Mykel J. Kochenderfer

Formal verification of transformers has become increasingly important due to their widespread deployment in safety-critical applications. Compared to classic neural networks, the inferences of transformers involve highly complex…

Artificial Intelligence · Computer Science 2026-05-15 Hengjie Liu , Zhenya Zhang , Jianjun Zhao

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…

Machine Learning · Computer Science 2022-02-03 Michael Everett

Bound propagation methods, when combined with branch and bound, are among the most effective methods to formally verify properties of deep neural networks such as correctness, robustness, and safety. However, existing works cannot handle…

Machine Learning · Computer Science 2022-12-06 Huan Zhang , Shiqi Wang , Kaidi Xu , Linyi Li , Bo Li , Suman Jana , Cho-Jui Hsieh , J. Zico Kolter

Deep neural networks (DNNs) are increasingly being employed in safety-critical systems, and there is an urgent need to guarantee their correctness. Consequently, the verification community has devised multiple techniques and tools for…

Logic in Computer Science · Computer Science 2022-08-30 Omri Isac , Clark Barrett , Min Zhang , Guy Katz

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…

Computer Vision and Pattern Recognition · Computer Science 2023-12-21 Fahim Ahmed Zaman , Xiaodong Wu , Weiyu Xu , Milan Sonka , Raghuraman Mudumbai

In this paper, we consider the problem of formally verifying the safety of an autonomous robot equipped with a Neural Network (NN) controller that processes LiDAR images to produce control actions. Given a workspace that is characterized by…

Artificial Intelligence · Computer Science 2018-11-01 Xiaowu Sun , Haitham Khedr , Yasser Shoukry

Certifying neural network robustness against adversarial examples is challenging, as formal guarantees often require solving non-convex problems. Hence, incomplete verifiers are widely used because they scale efficiently and substantially…

Machine Learning · Computer Science 2026-02-05 Mohammadreza Maleki , Rushendra Sidibomma , Arman Adibi , Reza Samavi

Neural network verifiers aim to provide formal guarantees on model behavior, but existing verification benchmarks are fundamentally limited by their lack of ground-truth labels. As a result, verifier evaluation relies on indirect…

Machine Learning · Computer Science 2026-05-19 David Troxell , Yulia Alexandr , Sofia Hunt , Stephanie Lei , Guido Montúfar

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…

Artificial Intelligence · Computer Science 2022-03-03 Xuan Xie , Kristian Kersting , Daniel Neider

Convex (specifically semidefinite) relaxation provides a powerful approach to constructing robust machine perception systems, enabling the recovery of certifiably globally optimal solutions of challenging estimation problems in many…

Robotics · Computer Science 2022-11-15 David M. Rosen

This paper proposes a novel, abstraction-based, certified training method for robust image classifiers. Via abstraction, all perturbed images are mapped into intervals before feeding into neural networks for training. By training on…

Computer Vision and Pattern Recognition · Computer Science 2023-03-22 Zhaodi Zhang , Zhiyi Xue , Yang Chen , Si Liu , Yueling Zhang , Jing Liu , Min Zhang

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…

Artificial Intelligence · Computer Science 2017-05-22 Guy Katz , Clark Barrett , David Dill , Kyle Julian , Mykel Kochenderfer

This study uses CAPM (Convex Adversarial Polytope for Maxpool-based CNN) to improve the verified bound for general purpose maxpool-based convolutional neural networks (CNNs) under bounded norm adversarial perturbations. The maxpool function…

Computer Vision and Pattern Recognition · Computer Science 2025-06-30 Jia-Hau Bai , Chi-Ting Liu , Yu Wang , Fu-Chieh Chang , Pei-Yuan Wu

We consider the problem of certifying the robustness of deep neural networks against real-world distribution shifts. To do so, we bridge the gap between hand-crafted specifications and realistic deployment settings by proposing a novel…

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