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In the past five years, deep learning methods have become state-of-the-art in solving various inverse problems. Before such approaches can find application in safety-critical fields, a verification of their reliability appears mandatory.…

Machine Learning · Computer Science 2023-01-18 Martin Genzel , Jan Macdonald , Maximilian März

Adversarial robustness corresponds to the susceptibility of deep neural networks to imperceptible perturbations made at test time. In the context of image tasks, many algorithms have been proposed to make neural networks robust to…

Computer Vision and Pattern Recognition · Computer Science 2020-12-03 Pranjal Awasthi , George Yu , Chun-Sung Ferng , Andrew Tomkins , Da-Cheng Juan

Deep neural networks are vulnerable to adversarial examples - small input perturbations that result in incorrect predictions. We study this problem for models of source code, where we want the network to be robust to source-code…

Machine Learning · Computer Science 2022-08-23 Goutham Ramakrishnan , Jordan Henkel , Zi Wang , Aws Albarghouthi , Somesh Jha , Thomas Reps

The highly non-linear nature of deep neural networks causes them to be susceptible to adversarial examples and have unstable gradients which hinders interpretability. However, existing methods to solve these issues, such as adversarial…

Machine Learning · Computer Science 2023-01-11 Suraj Srinivas , Kyle Matoba , Himabindu Lakkaraju , Francois Fleuret

Deep neural networks are vulnerable to adversarial examples, which becomes one of the most important research problems in the development of deep learning. While a lot of efforts have been made in recent years, it is of great significance…

Computer Vision and Pattern Recognition · Computer Science 2019-12-30 Yinpeng Dong , Qi-An Fu , Xiao Yang , Tianyu Pang , Hang Su , Zihao Xiao , Jun Zhu

As deep neural networks (DNNs) are increasingly deployed in sensitive applications, ensuring their security and robustness has become critical. A major threat to DNNs arises from adversarial attacks, where small input perturbations can lead…

Machine Learning · Computer Science 2025-11-27 Erh-Chung Chen , Pin-Yu Chen , I-Hsin Chung , Che-Rung Lee

The vulnerability to adversarial attacks has been a critical issue for deep neural networks. Addressing this issue requires a reliable way to evaluate the robustness of a network. Recently, several methods have been developed to compute…

Machine Learning · Computer Science 2019-05-20 Ching-Yun Ko , Zhaoyang Lyu , Tsui-Wei Weng , Luca Daniel , Ngai Wong , Dahua Lin

The robustness of deep neural networks (DNNs) against adversarial attacks has been studied extensively in hopes of both better understanding how deep learning models converge and in order to ensure the security of these models in…

Machine Learning · Computer Science 2023-07-11 Jovon Craig , Josh Andle , Theodore S. Nowak , Salimeh Yasaei Sekeh

We consider a neural network architecture designed to solve inverse problems where the degradation operator is linear and known. This architecture is constructed by unrolling a forward-backward algorithm derived from the minimization of an…

Optimization and Control · Mathematics 2025-10-02 Emilie Chouzenoux , Cecile Della Valle , Jean-Christophe Pesquet

Explainability models are now prevalent within machine learning to address the black-box nature of neural networks. The question now is which explainability model is most effective. Probabilistic Lipschitzness has demonstrated that the…

Machine Learning · Computer Science 2024-03-11 Lachlan Simpson , Kyle Millar , Adriel Cheng , Cheng-Chew Lim , Hong Gunn Chew

In deep learning (DL) the instability phenomenon is widespread and well documented, most commonly using the classical measure of stability, the Lipschitz constant. While a small Lipchitz constant is traditionally viewed as guarantying…

Machine Learning · Computer Science 2024-01-17 Z. N. D. Liu , A. C. Hansen

In deep learning applications, robustness measures the ability of neural models that handle slight changes in input data, which could lead to potential safety hazards, especially in safety-critical applications. Pre-deployment assessment of…

Software Engineering · Computer Science 2024-04-26 Wenchuan Mu , Kwan Hui Lim

The Lipschitz constant of neural networks has been established as a key quantity to enforce the robustness to adversarial examples. In this paper, we tackle the problem of building $1$-Lipschitz Neural Networks. By studying Residual…

Machine Learning · Computer Science 2022-02-02 Laurent Meunier , Blaise Delattre , Alexandre Araujo , Alexandre Allauzen

Vulnerability to adversarial attacks is a well-known weakness of Deep Neural networks. While most of the studies focus on single-task neural networks with computer vision datasets, very little research has considered complex multi-task…

Machine Learning · Computer Science 2021-10-29 Salah Ghamizi , Maxime Cordy , Mike Papadakis , Yves Le Traon

This paper proposes a class of well-conditioned neural networks in which a unit amount of change in the inputs causes at most a unit amount of change in the outputs or any of the internal layers. We develop the known methodology of…

Artificial Intelligence · Computer Science 2019-02-07 Haifeng Qian , Mark N. Wegman

In recent years numerous methods have been developed to formally verify the robustness of deep neural networks (DNNs). Though the proposed techniques are effective in providing mathematical guarantees about the DNNs behavior, it is not…

Machine Learning · Computer Science 2023-02-01 Debangshu Banerjee , Avaljot Singh , Gagandeep Singh

Recent research has established that the local Lipschitz constant of a neural network directly influences its adversarial robustness. We exploit this relationship to construct an ensemble of neural networks which not only improves the…

Machine Learning · Computer Science 2022-06-02 Thulasi Tholeti , Sheetal Kalyani

Neural networks are often susceptible to minor perturbations in input that cause them to misclassify. A recent solution to this problem is the use of globally-robust neural networks, which employ a function to certify that the…

Programming Languages · Computer Science 2025-05-13 James Tobler , Hira Taqdees Syeda , Toby Murray

We propose a novel data-dependent structured gradient regularizer to increase the robustness of neural networks vis-a-vis adversarial perturbations. Our regularizer can be derived as a controlled approximation from first principles,…

Machine Learning · Statistics 2018-05-23 Kevin Roth , Aurelien Lucchi , Sebastian Nowozin , Thomas Hofmann

Deep neural networks have achieved impressive results in many image classification tasks. However, since their performance is usually measured in controlled settings, it is important to ensure that their decisions remain correct when…

Computer Vision and Pattern Recognition · Computer Science 2022-09-07 Apostolos Modas