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Related papers: Reachability Analysis of Deep Neural Networks with…

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The literature on reachability analysis methods for neural networks currently only focuses on uncertainties on the network's inputs. In this paper, we introduce two new approaches for the reachability analysis of neural networks with…

Systems and Control · Electrical Eng. & Systems 2023-03-15 Pierre-Jean Meyer

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

Feedforward neural networks are widely used in autonomous systems, particularly for control and perception tasks within the system loop. However, their vulnerability to adversarial attacks necessitates formal verification before deployment…

Optimization and Control · Mathematics 2025-09-03 Yuhao Zhang , Xiangru Xu

Deep Neural Networks (DNNs) are vulnerable to adversarial attacks. Existing methods are devoted to developing various robust training strategies or regularizations to update the weights of the neural network. But beyond the weights, the…

Computer Vision and Pattern Recognition · Computer Science 2023-02-03 Minjing Dong , Yanxi Li , Yunhe Wang , Chang Xu

The minimal norm weight perturbations of DNNs required to achieve a specified change in output are derived and the factors determining its size are discussed. These single-layer exact formulae are contrasted with more generic multi-layer…

Machine Learning · Computer Science 2026-05-19 Bethan Evans , Jared Tanner

Deep neural networks (DNNs) play an increasingly important role in various computer systems. In order to create these networks, engineers typically specify a desired topology, and then use an automated training algorithm to select the…

Machine Learning · Computer Science 2021-08-13 Ori Lahav , Guy Katz

Deep neural networks (DNNs) have a wide range of applications, and software employing them must be thoroughly tested, especially in safety-critical domains. However, traditional software test coverage metrics cannot be applied directly to…

Machine Learning · Computer Science 2019-04-16 Youcheng Sun , Xiaowei Huang , Daniel Kroening , James Sharp , Matthew Hill , Rob Ashmore

For Deep Neural Networks (DNNs) to become useful in safety-critical applications, such as self-driving cars and disease diagnosis, they must be stable to perturbations in input and model parameters. Characterizing the sensitivity of a DNN…

Machine Learning · Computer Science 2023-07-25 Naman Maheshwari , Nicholas Malaya , Scott Moe , Jaydeep P. Kulkarni , Sudhanva Gurumurthi

Deep neural networks (DNN) are increasingly applied in safety-critical systems, e.g., for face recognition, autonomous car control and malware detection. It is also shown that DNNs are subject to attacks such as adversarial perturbation and…

Machine Learning · Computer Science 2019-11-15 Yizhen Dong , Peixin Zhang , Jingyi Wang , Shuang Liu , Jun Sun , Jianye Hao , Xinyu Wang , Li Wang , Jin Song Dong , Dai Ting

Despite the efficacy on a variety of computer vision tasks, deep neural networks (DNNs) are vulnerable to adversarial attacks, limiting their applications in security-critical systems. Recent works have shown the possibility of generating…

Computer Vision and Pattern Recognition · Computer Science 2018-12-21 Ziang Yan , Yiwen Guo , Changshui Zhang

Training a deep neural network (DNN) often involves stochastic optimization, which means each run will produce a different model. Several works suggest this variability is negligible when models have the same performance, which in the case…

Machine Learning · Statistics 2023-10-03 Sinjini Banerjee , Reilly Cannon , Tim Marrinan , Tony Chiang , Anand D. Sarwate

In the past few years, significant progress has been made on deep neural networks (DNNs) in achieving human-level performance on several long-standing tasks. With the broader deployment of DNNs on various applications, the concerns over…

Machine Learning · Computer Science 2020-06-02 Xiaowei Huang , Daniel Kroening , Wenjie Ruan , James Sharp , Youcheng Sun , Emese Thamo , Min Wu , Xinping Yi

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) are very popular because of their high performance in various cognitive tasks in Machine Learning (ML). Recent advancements in DNNs have brought beyond human accuracy in many tasks, but at the cost of high…

Hardware Architecture · Computer Science 2022-03-18 Giorgos Armeniakos , Georgios Zervakis , Dimitrios Soudris , Jörg Henkel

Training Deep Neural Networks (DNNs) with adversarial examples often results in poor generalization to test-time adversarial data. This paper investigates this issue, known as adversarially robust generalization, through the lens of…

Machine Learning · Statistics 2024-06-11 Jiancong Xiao , Ruoyu Sun , Qi Long , Weijie J. Su

Feature attributions are a popular tool for explaining the behavior of Deep Neural Networks (DNNs), but have recently been shown to be vulnerable to attacks that produce divergent explanations for nearby inputs. This lack of robustness is…

Machine Learning · Computer Science 2020-10-23 Zifan Wang , Haofan Wang , Shakul Ramkumar , Matt Fredrikson , Piotr Mardziel , Anupam Datta

Continuous deep learning models, referred to as Neural Ordinary Differential Equations (Neural ODEs), have received considerable attention over the last several years. Despite their burgeoning impact, there is a lack of formal analysis…

Machine Learning · Computer Science 2022-07-15 Diego Manzanas Lopez , Patrick Musau , Nathaniel Hamilton , Taylor T. Johnson

Deep Neural Networks (DNNs) are increasingly deployed in safety-critical applications including autonomous vehicles and medical diagnostics. To reduce the residual risk for unexpected DNN behaviour and provide evidence for their trustworthy…

Software Engineering · Computer Science 2019-02-19 Hasan Ferit Eniser , Simos Gerasimou , Alper Sen

The developments of deep neural networks (DNN) in recent years have ushered a brand new era of artificial intelligence. DNNs are proved to be excellent in solving very complex problems, e.g., visual recognition and text understanding, to…

Machine Learning · Computer Science 2018-12-27 Qiang Hu , Hao Zhang

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