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In recent years, program verifiers and interactive theorem provers have become more powerful and more suitable for verifying large programs or proofs. This has demonstrated the need for improving the user experience of these tools to…

Programming Languages · Computer Science 2014-04-29 K. Rustan M. Leino , Valentin Wüstholz

The numerical solution of differential equations using neural networks has become a central topic in scientific computing, with Physics-Informed Neural Networks (PINNs) emerging as a powerful paradigm for both forward and inverse problems.…

Machine Learning · Computer Science 2026-01-28 Kazuaki Tanaka , Kohei Yatabe

Inference accuracy of deep neural networks (DNNs) is a crucial performance metric, but can vary greatly in practice subject to actual test datasets and is typically unknown due to the lack of ground truth labels. This has raised significant…

Machine Learning · Computer Science 2020-07-06 Zhihui Shao , Jianyi Yang , Shaolei Ren

This paper addresses the problem of formally verifying desirable properties of neural networks, i.e., obtaining provable guarantees that neural networks satisfy specifications relating their inputs and outputs (robustness to bounded norm…

Machine Learning · Computer Science 2018-08-06 Krishnamurthy , Dvijotham , Robert Stanforth , Sven Gowal , Timothy Mann , Pushmeet Kohli

Deep neural networks (DNNs) are instrumental in realizing complex perception systems. As many of these applications are safety-critical by design, engineering rigor is required to ensure that the functional insufficiency of the DNN-based…

Machine Learning · Computer Science 2023-10-09 Chih-Hong Cheng , Michael Luttenberger , Rongjie Yan

Deep Neural Networks (DNN) have improved the quality of several non-safety related products in the past years. However, before DNNs should be deployed to safety-critical applications, their robustness needs to be systematically analyzed. A…

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

Inference using deep neural networks is often outsourced to the cloud since it is a computationally demanding task. However, this raises a fundamental issue of trust. How can a client be sure that the cloud has performed inference…

Machine Learning · Computer Science 2021-05-14 Zahra Ghodsi , Tianyu Gu , Siddharth Garg

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

Neural networks are one of the most investigated and widely used techniques in Machine Learning. In spite of their success, they still find limited application in safety- and security-related contexts, wherein assurance about networks'…

Artificial Intelligence · Computer Science 2018-05-28 Francesco Leofante , Nina Narodytska , Luca Pulina , Armando Tacchella

Deep neural networks (DNN) have been deployed in many software systems to assist in various classification tasks. In company with the fantastic effectiveness in classification, DNNs could also exhibit incorrect behaviors and result in…

Software Engineering · Computer Science 2020-06-16 Yang Feng , Qingkai Shi , Xinyu Gao , Jun Wan , Chunrong Fang , Zhenyu Chen

Deploying deep neural networks (DNNs) as core functions in autonomous driving creates unique verification and validation challenges. In particular, the continuous engineering paradigm of gradually perfecting a DNN-based perception can make…

Machine Learning · Computer Science 2021-09-28 Chih-Hong Cheng , Rongjie Yan

In the field of machine unlearning, certified unlearning has been extensively studied in convex machine learning models due to its high efficiency and strong theoretical guarantees. However, its application to deep neural networks (DNNs),…

Machine Learning · Computer Science 2026-04-23 Binchi Zhang , Yushun Dong , Tianhao Wang , Jundong Li

Great advances in deep neural networks (DNNs) have led to state-of-the-art performance on a wide range of tasks. However, recent studies have shown that DNNs are vulnerable to adversarial attacks, which have brought great concerns when…

Machine Learning · Computer Science 2023-04-13 Linyi Li , Tao Xie , Bo Li

Machine learning (ML) has recently created many new success stories. Hence, there is a strong motivation to use ML technology in software-intensive systems, including safety-critical systems. This raises the issue of safety verification of…

Software Engineering · Computer Science 2020-07-01 Hermann Kaindl , Stefan Kramer

One major drawback of deep convolutional neural networks (CNNs) for use in safety critical applications is their black-box nature. This makes it hard to verify or monitor complex, symbolic requirements on already trained computer vision…

Computer Vision and Pattern Recognition · Computer Science 2022-03-15 Gesina Schwalbe , Christian Wirth , Ute Schmid

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) are widely developed and applied in many areas, and the quality assurance of DNNs is critical. Neural network verification (NNV) aims to provide formal guarantees to DNN models. Similar to traditional software,…

Software Engineering · Computer Science 2022-01-21 Xuan Xie , Fuyuan Zhang

Image classifiers are an important component of today's software, from consumer and business applications to safety-critical domains. The advent of Deep Neural Networks (DNNs) is the key catalyst behind such wide-spread success. However,…

Software Engineering · Computer Science 2020-02-13 Yuchi Tian , Ziyuan Zhong , Vicente Ordonez , Gail Kaiser , Baishakhi Ray

As deep neural networks (DNNs) get adopted in an ever-increasing number of applications, explainability has emerged as a crucial desideratum for these models. In many real-world tasks, one of the principal reasons for requiring…

Artificial Intelligence · Computer Science 2020-07-03 Vedant Nanda , Till Speicher , John P. Dickerson , Krishna P. Gummadi , Muhammad Bilal Zafar