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In an ever expanding set of research and application areas, deep neural networks (DNNs) set the bar for algorithm performance. However, depending upon additional constraints such as processing power and execution time limits, or…

Machine Learning · Computer Science 2021-06-22 Nathan Dahlin , Krishna Chaitanya Kalagarla , Nikhil Naik , Rahul Jain , Pierluigi Nuzzo

Deep neural networks (DNNs) have become the technology of choice for realizing a variety of complex tasks. However, as highlighted by many recent studies, even an imperceptible perturbation to a correctly classified input can lead to…

Machine Learning · Computer Science 2022-07-27 Guy Amir , Tom Zelazny , Guy Katz , Michael Schapira

Advances in the field of Machine Learning and Deep Neural Networks (DNNs) has enabled rapid development of sophisticated and autonomous systems. However, the inherent complexity to rigorously assure the safe operation of such systems…

Machine Learning · Computer Science 2019-09-23 Hao Ren , Sai Krishnan Chandrasekar , Anitha Murugesan

Deep learning has transformed the way we think of software and what it can do. But deep neural networks are fragile and their behaviors are often surprising. In many settings, we need to provide formal guarantees on the safety, security,…

Machine Learning · Computer Science 2021-10-06 Aws Albarghouthi

Deep neural networks (DNNs) are the workhorses of deep learning, which constitutes the state of the art in numerous application domains. However, DNN-based decision rules are notoriously prone to poor generalization, i.e., may prove…

Machine Learning · Computer Science 2023-05-11 Guy Amir , Osher Maayan , Tom Zelazny , Guy Katz , Michael Schapira

Deep neural networks (DNNs) play a crucial role in the field of machine learning, demonstrating state-of-the-art performance across various application domains. However, despite their success, DNN-based models may occasionally exhibit…

Machine Learning · Computer Science 2024-07-02 Guy Amir , Osher Maayan , Tom Zelazny , Guy Katz , Michael Schapira

Neural network verification tools currently support only a narrow class of specifications, typically expressed as low-level constraints over raw inputs and outputs. This limitation significantly hinders their adoption and practical…

Machine Learning · Computer Science 2026-03-04 Yizhak Y. Elboher , Reuven Peleg , Zhouxing Shi , Guy Katz , Jan Křetínský

Despite the large number of sophisticated deep neural network (DNN) verification algorithms, DNN verifier developers, users, and researchers still face several challenges. First, verifier developers must contend with the rapidly changing…

Machine Learning · Computer Science 2023-08-29 David Shriver , Sebastian Elbaum , Matthew B. Dwyer

Deep Neural Networks (DNNs) are rapidly being applied to safety-critical domains such as drone and airplane control, motivating techniques for verifying the safety of their behavior. Unfortunately, DNN verification is NP-hard, with current…

Machine Learning · Computer Science 2020-09-15 Matthew Sotoudeh , Aditya V. Thakur

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

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

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

Complete verification of deep neural networks (DNNs) can exactly determine whether the DNN satisfies a desired trustworthy property (e.g., robustness, fairness) on an infinite set of inputs or not. Despite the tremendous progress to improve…

Machine Learning · Computer Science 2023-06-13 Shubham Ugare , Debangshu Banerjee , Sasa Misailovic , Gagandeep Singh

Deep Neural Networks (DNN) are increasingly used in a variety of applications, many of them with substantial safety and security concerns. This paper introduces DeepCheck, a new approach for validating DNNs based on core ideas from program…

Software Engineering · Computer Science 2018-07-30 Divya Gopinath , Kaiyuan Wang , Mengshi Zhang , Corina S. Pasareanu , Sarfraz Khurshid

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…

Artificial Intelligence · Computer Science 2018-05-23 Rudy Bunel , Ilker Turkaslan , Philip H. S. Torr , Pushmeet Kohli , M. Pawan Kumar

In recent years, a number of methods for verifying DNNs have been developed. Because the approaches of the methods differ and have their own limitations, we think that a number of verification methods should be applied to a developed DNN.…

Software Engineering · Computer Science 2018-11-12 Naoto Sato , Hironobu Kuruma , Masanori Kaneko , Yuichiroh Nakagawa , Hideto Ogawa , Thai Son Hoang , Michael Butler

Convolutional neural networks have gained vast popularity due to their excellent performance in the fields of computer vision, image processing, and others. Unfortunately, it is now well known that convolutional networks often produce…

Machine Learning · Computer Science 2022-01-07 Matan Ostrovsky , Clark Barrett , Guy Katz

The use of neural networks as function approximators has enabled many advances in reinforcement learning (RL). The generalization power of neural networks combined with advances in RL algorithms has reignited the field of artificial…

Machine Learning · Computer Science 2022-03-14 Christopher Lazarus , Mykel J. Kochenderfer

Verifying properties and interpreting the behaviour of deep neural networks (DNN) is an important task given their ubiquitous use in applications, including safety-critical ones, and their black-box nature. We propose an automata-theoric…

Formal Languages and Automata Theory · Computer Science 2023-09-28 Marco Sälzer , Eric Alsmann , Florian Bruse , Martin Lange

As deep neural networks (DNNs) are becoming the prominent solution for many computational problems, the aviation industry seeks to explore their potential in alleviating pilot workload and in improving operational safety. However, the use…

Computer Vision and Pattern Recognition · Computer Science 2024-08-07 Yizhak Elboher , Raya Elsaleh , Omri Isac , Mélanie Ducoffe , Audrey Galametz , Guillaume Povéda , Ryma Boumazouza , Noémie Cohen , Guy Katz