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While great progress has been made at making neural networks effective across a wide range of visual tasks, most models are surprisingly vulnerable. This frailness takes the form of small, carefully chosen perturbations of their input,…

Machine Learning · Computer Science 2019-06-11 Cecilia Summers , Michael J. Dinneen

Adversarial training (AT) has proven to be one of the most effective ways to defend Deep Neural Networks (DNNs) against adversarial attacks. However, the phenomenon of robust overfitting, i.e., the robustness will drop sharply at a certain…

Machine Learning · Computer Science 2022-05-25 Shudong Zhang , Haichang Gao , Tianwei Zhang , Yunyi Zhou , Zihui Wu

Identifying optimal values for a high-dimensional set of hyperparameters is a problem that has received growing attention given its importance to large-scale machine learning applications such as neural architecture search. Recently…

Robust training methods typically defend against specific attack types, such as Lp attacks with fixed budgets, and rarely account for the fact that defenders may encounter new attacks over time. A natural solution is to adapt the defended…

Machine Learning · Computer Science 2025-02-07 Sihui Dai , Christian Cianfarani , Arjun Bhagoji , Vikash Sehwag , Prateek Mittal

PAC-Bayesian is an analysis framework where the training error can be expressed as the weighted average of the hypotheses in the posterior distribution whilst incorporating the prior knowledge. In addition to being a pure generalization…

Machine Learning · Computer Science 2022-02-07 Wei Huang , Chunrui Liu , Yilan Chen , Tianyu Liu , Richard Yi Da Xu

Variational inference (VI) is widely used for approximate inference in Bayesian machine learning. In addition to this practical success, generalization bounds for variational inference and related algorithms have been developed, mostly…

Machine Learning · Computer Science 2025-02-19 Yadi Wei , Roni Khardon

PAC-Bayes learning is an established framework to both assess the generalisation ability of learning algorithms, and design new learning algorithm by exploiting generalisation bounds as training objectives. Most of the exisiting bounds…

Machine Learning · Statistics 2023-05-31 Maxime Haddouche , Benjamin Guedj

In adversarial machine learning, deep neural networks can fit the adversarial examples on the training dataset but have poor generalization ability on the test set. This phenomenon is called robust overfitting, and it can be observed when…

Machine Learning · Computer Science 2022-11-01 Jiancong Xiao , Yanbo Fan , Ruoyu Sun , Jue Wang , Zhi-Quan Luo

Adversarial training is a common approach to improving the robustness of deep neural networks against adversarial examples. In this work, we propose a novel regularization approach as an alternative. To derive the regularizer, we formulate…

Machine Learning · Computer Science 2021-02-09 Avery Ma , Fartash Faghri , Nicolas Papernot , Amir-massoud Farahmand

Powerful deep neural networks are vulnerable to adversarial attacks. To obtain adversarially robust models, researchers have separately developed adversarial training and Jacobian regularization techniques. There are abundant theoretical…

Machine Learning · Statistics 2024-12-18 Dongya Wu , Xin Li

While adversarial training methods have significantly improved the robustness of deep neural networks against norm-bounded adversarial perturbations, the generalization gap between their performance on training and test data is considerably…

Machine Learning · Computer Science 2025-01-08 Xiwei Cheng , Kexin Fu , Farzan Farnia

We propose the first general PAC-Bayesian generalization bounds for adversarial robustness, that estimate, at test time, how much a model will be invariant to imperceptible perturbations in the input. Instead of deriving a worst-case…

Machine Learning · Computer Science 2021-10-28 Paul Viallard , Guillaume Vidot , Amaury Habrard , Emilie Morvant

Recently smoothing deep neural network based classifiers via isotropic Gaussian perturbation is shown to be an effective and scalable way to provide state-of-the-art probabilistic robustness guarantee against $\ell_2$ norm bounded…

Machine Learning · Statistics 2020-02-19 Huijie Feng , Chunpeng Wu , Guoyang Chen , Weifeng Zhang , Yang Ning

Generalization in deep learning has been the topic of much recent theoretical and empirical research. Here we introduce desiderata for techniques that predict generalization errors for deep learning models in supervised learning. Such…

Machine Learning · Statistics 2020-12-10 Guillermo Valle-Pérez , Ard A. Louis

Many state-of-the-art adversarial training methods for deep learning leverage upper bounds of the adversarial loss to provide security guarantees against adversarial attacks. Yet, these methods rely on convex relaxations to propagate lower…

Machine Learning · Computer Science 2023-04-07 Dimitris Bertsimas , Xavier Boix , Kimberly Villalobos Carballo , Dick den Hertog

To improve the robustness of deep classifiers against adversarial perturbations, many approaches have been proposed, such as designing new architectures with better robustness properties (e.g., Lipschitz-capped networks), or modifying the…

Machine Learning · Computer Science 2025-03-27 Mahyar Fazlyab , Taha Entesari , Aniket Roy , Rama Chellappa

Explaining how overparametrized neural networks simultaneously achieve low risk and zero empirical risk on benchmark datasets is an open problem. PAC-Bayes bounds optimized using variational inference (VI) have been recently proposed as a…

Machine Learning · Computer Science 2020-03-06 Konstantinos Pitas

Previous adversarial training raises model robustness under the compromise of accuracy on natural data. In this paper, we reduce natural accuracy degradation. We use the model logits from one clean model to guide learning of another one…

Computer Vision and Pattern Recognition · Computer Science 2021-08-17 Jiequan Cui , Shu Liu , Liwei Wang , Jiaya Jia

Adversarial training, which is to enhance robustness against adversarial attacks, has received much attention because it is easy to generate human-imperceptible perturbations of data to deceive a given deep neural network. In this paper, we…

Machine Learning · Statistics 2023-06-02 Dongyoon Yang , Insung Kong , Yongdai Kim

We introduce a data-driven approach to analyze the performance of continuous optimization algorithms using generalization guarantees from statistical learning theory. We study classical and learned optimizers to solve families of parametric…

Optimization and Control · Mathematics 2025-10-07 Rajiv Sambharya , Bartolomeo Stellato