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Semidefinite programming (SDP) relaxation has emerged as a promising approach for neural network verification, offering tighter bounds than other convex relaxation methods for deep neural networks (DNNs) with ReLU activations. However, we…

Machine Learning · Computer Science 2025-06-13 Ryota Ueda , Takami Sato , Ken Kobayashi , Kazuhide Nakata

While existing work in robust deep learning has focused on small pixel-level norm-based perturbations, this may not account for perturbations encountered in several real-world settings. In many such cases although test data might not be…

Computer Vision and Pattern Recognition · Computer Science 2021-04-09 Tejas Gokhale , Rushil Anirudh , Bhavya Kailkhura , Jayaraman J. Thiagarajan , Chitta Baral , Yezhou Yang

The use of neural networks in safety-critical systems requires safe and robust models, due to the existence of adversarial attacks. Knowing the minimal adversarial perturbation of any input x, or, equivalently, knowing the distance of x…

Machine Learning · Computer Science 2022-09-12 Fabio Brau , Giulio Rossolini , Alessandro Biondi , Giorgio Buttazzo

We propose a principled framework that combines adversarial training and provable robustness verification for training certifiably robust neural networks. We formulate the training problem as a joint optimization problem with both empirical…

Machine Learning · Computer Science 2021-06-08 Jiameng Fan , Wenchao Li

Formal verification of transformers has become increasingly important due to their widespread deployment in safety-critical applications. Compared to classic neural networks, the inferences of transformers involve highly complex…

Artificial Intelligence · Computer Science 2026-05-15 Hengjie Liu , Zhenya Zhang , Jianjun Zhao

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

With the tremendous advances in the architecture and scale of convolutional neural networks (CNNs) over the past few decades, they can easily reach or even exceed the performance of humans in certain tasks. However, a recently discovered…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Yanxi Li , Zhaohui Yang , Yunhe Wang , Chang Xu

Adversarial or test time robustness measures the susceptibility of a classifier to perturbations to the test input. While there has been a flurry of recent work on designing defenses against such perturbations, the theory of adversarial…

Machine Learning · Computer Science 2020-04-29 Pranjal Awasthi , Natalie Frank , Mehryar Mohri

In the field of formal verification, Neural Networks (NNs) are typically reformulated into equivalent mathematical programs which are optimized over. To overcome the inherent non-convexity of these reformulations, convex relaxations of…

Machine Learning · Computer Science 2024-08-23 Samuel Chevalier , Duncan Starkenburg , Krishnamurthy Dvijotham

In this paper we criticize the robustness measure traditionally employed to assess the performance of machine learning models deployed in adversarial settings. To mitigate the limitations of robustness, we introduce a new measure called…

Machine Learning · Computer Science 2021-12-07 Stefano Calzavara , Lorenzo Cazzaro , Claudio Lucchese , Federico Marcuzzi , Salvatore Orlando

In this paper we aim to explore the general robustness of neural network classifiers by utilizing adversarial as well as natural perturbations. Different from previous works which mainly focus on studying the robustness of neural networks…

Computer Vision and Pattern Recognition · Computer Science 2020-10-06 Sadaf Gulshad , Jan Hendrik Metzen , Arnold Smeulders

Deep neural networks have been widely deployed in various machine learning tasks. However, recent works have demonstrated that they are vulnerable to adversarial examples: carefully crafted small perturbations to cause misclassification by…

Machine Learning · Computer Science 2019-03-01 Ke Sun , Zhanxing Zhu , Zhouchen Lin

Although the recent progress is substantial, deep learning methods can be vulnerable to the maliciously generated adversarial examples. In this paper, we present a novel training procedure and a thresholding test strategy, towards robust…

Machine Learning · Computer Science 2018-11-08 Tianyu Pang , Chao Du , Yinpeng Dong , Jun Zhu

Recent studies on the adversarial vulnerability of neural networks have shown that models trained to be more robust to adversarial attacks exhibit more interpretable saliency maps than their non-robust counterparts. We aim to quantify this…

Machine Learning · Statistics 2019-05-13 Christian Etmann , Sebastian Lunz , Peter Maass , Carola-Bibiane Schönlieb

Adversarial training instances can severely distort a model's behavior. This work investigates certified regression defenses, which provide guaranteed limits on how much a regressor's prediction may change under a poisoning attack. Our key…

Machine Learning · Computer Science 2023-01-02 Zayd Hammoudeh , Daniel Lowd

Data poisoning attacks, in which an adversary corrupts a training set with the goal of inducing specific desired mistakes, have raised substantial concern: even just the possibility of such an attack can make a user no longer trust the…

Machine Learning · Computer Science 2022-03-09 Maria-Florina Balcan , Avrim Blum , Steve Hanneke , Dravyansh Sharma

We demonstrate that the choice of optimizer, neural network architecture, and regularizer significantly affect the adversarial robustness of linear neural networks, providing guarantees without the need for adversarial training. To this…

Machine Learning · Computer Science 2021-06-08 Fartash Faghri , Sven Gowal , Cristina Vasconcelos , David J. Fleet , Fabian Pedregosa , Nicolas Le Roux

Adversarial training is arguably the most popular way to provide empirical robustness against specific adversarial examples. While variants based on multi-step attacks incur significant computational overhead, single-step variants are…

Machine Learning · Computer Science 2025-03-25 Alessandro De Palma , Serge Durand , Zakaria Chihani , François Terrier , Caterina Urban

Over the past decade, adversarial training has emerged as one of the few reliable methods for enhancing model robustness against adversarial attacks [Szegedy et al., 2014, Madry et al., 2018, Xhonneux et al., 2024], while many alternative…

Cryptography and Security · Computer Science 2024-08-05 Leo Schwinn , Simon Geisler

Formal verification is only as good as the specification of a system, which is also true for neural network verification. Existing specifications follow the paradigm of data as specification, where the local neighborhood around a reference…

Machine Learning · Computer Science 2025-03-17 Chuqin Geng , Zhaoyue Wang , Haolin Ye , Xujie Si
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