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As a new programming paradigm, deep neural networks (DNNs) have been increasingly deployed in practice, but the lack of robustness hinders their applications in safety-critical domains. While there are techniques for verifying DNNs with…

Software Engineering · Computer Science 2022-07-05 Jiaxiang Liu , Yunhan Xing , Xiaomu Shi , Fu Song , Zhiwu Xu , Zhong Ming

Modern verification tools for deep neural networks (DNNs) increasingly rely on abstraction to scale to realistic architectures. In parallel, proof production is becoming a critical requirement for increasing the reliability of DNN…

Logic in Computer Science · Computer Science 2025-06-12 Yizhak Yisrael Elboher , Omri Isac , Guy Katz , Tobias Ladner , Haoze Wu

The ability of Convolutional Neural Networks (CNNs) to accurately process real-time telemetry has boosted their use in safety-critical and high-performance computing systems. As such systems require high levels of resilience to errors, CNNs…

Distributed, Parallel, and Cluster Computing · Computer Science 2020-06-11 Siva Kumar Sastry Hari , Michael B. Sullivan , Timothy Tsai , Stephen W. Keckler

While abstraction is a classic tool of verification to scale it up, it is not used very often for verifying neural networks. However, it can help with the still open task of scaling existing algorithms to state-of-the-art network…

Logic in Computer Science · Computer Science 2020-06-25 Pranav Ashok , Vahid Hashemi , Jan Křetínský , Stefanie Mohr

Deep neural networks are increasingly being used as controllers for safety-critical systems. Because neural networks are opaque, certifying their correctness is a significant challenge. To address this issue, several neural network…

Formal Languages and Automata Theory · Computer Science 2020-07-22 Yizhak Yisrael Elboher , Justin Gottschlich , Guy Katz

Despite significant advancements in post-hoc explainability techniques for neural networks, many current methods rely on heuristics and do not provide formally provable guarantees over the explanations provided. Recent work has shown that…

Machine Learning · Computer Science 2025-06-11 Shahaf Bassan , Yizhak Yisrael Elboher , Tobias Ladner , Matthias Althoff , Guy Katz

Convolutional Neural Networks (CNN) for object detection, lane detection, and segmentation now sit at the head of most autonomy pipelines, and yet, their safety analysis remains an important challenge. Formal analysis of perception models…

Robotics · Computer Science 2023-09-13 Chiao Hsieh , Keyur Joshi , Sasa Misailovic , Sayan Mitra

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…

Machine Learning · Computer Science 2021-07-28 Florian Jaeckle , Jingyue Lu , M. Pawan Kumar

Neural networks have become critical components of reactive systems in various domains within computer science. Despite their excellent performance, using neural networks entails numerous risks that stem from our lack of ability to…

Machine Learning · Computer Science 2023-05-16 Elazar Cohen , Yizhak Yisrael Elboher , Clark Barrett , Guy Katz

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

Convolutional neural networks (CNNs) define the current state-of-the-art for image recognition. With their emerging popularity, especially for critical applications like medical image analysis or self-driving cars, confirmability is…

Computer Vision and Pattern Recognition · Computer Science 2018-01-08 Keyang Zhou , Bernhard Kainz

Verifying robustness of neural network classifiers has attracted great interests and attention due to the success of deep neural networks and their unexpected vulnerability to adversarial perturbations. Although finding minimum adversarial…

Machine Learning · Statistics 2018-11-30 Akhilan Boopathy , Tsui-Wei Weng , Pin-Yu Chen , Sijia Liu , Luca Daniel

Intensive research has been conducted on the verification and validation of deep neural networks (DNNs), aiming to understand if, and how, DNNs can be applied to safety critical applications. However, existing verification and validation…

Machine Learning · Computer Science 2021-03-08 Nicolas Berthier , Amany Alshareef , James Sharp , Sven Schewe , Xiaowei Huang

Traditional methods for formal verification (FV) of deep neural networks (DNNs) are constrained by a binary encoding of safety properties, where a model is classified as either safe or unsafe (robust or not robust). This binary encoding…

Artificial Intelligence · Computer Science 2025-05-09 Luca Marzari , Isabella Mastroeni , Alessandro Farinelli

Artificial Neural Networks (ANNs) have demonstrated remarkable utility in various challenging machine learning applications. While formally verified properties of their behaviors are highly desired, they have proven notoriously difficult to…

Machine Learning · Computer Science 2020-10-05 Xuankang Lin , He Zhu , Roopsha Samanta , Suresh Jagannathan

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…

Machine Learning · Computer Science 2024-06-11 Anahita Baninajjar , Ahmed Rezine , Amir Aminifar

Deep neural networks (DNNs) have achieved significant success in a variety of real world applications, i.e., image classification. However, tons of parameters in the networks restrict the efficiency of neural networks due to the large model…

Machine Learning · Computer Science 2019-08-21 Yuzhe Ma , Ran Chen , Wei Li , Fanhua Shang , Wenjian Yu , Minsik Cho , Bei Yu

Formal verification of neural networks is essential for their deployment in safety-critical areas. Many available formal verification methods have been shown to be instances of a unified Branch and Bound (BaB) formulation. We propose a…

Machine Learning · Computer Science 2019-12-04 Jingyue Lu , M. Pawan Kumar

With the increasing integration of neural networks as components in mission-critical systems, there is an increasing need to ensure that they satisfy various safety and liveness requirements. In recent years, numerous sound and complete…

Neural and Evolutionary Computing · Computer Science 2022-08-30 Yizhak Yisrael Elboher , Elazar Cohen , Guy Katz

State-of-the-art neural network (NN) verifiers demonstrate that applying the branch-and-bound (BaB) procedure with fast bounding techniques plays a key role in tackling many challenging verification properties. In this work, we introduce…

Machine Learning · Computer Science 2025-12-15 Duo Zhou , Jorge Chavez , Hesun Chen , Grani A. Hanasusanto , Huan Zhang
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