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We study certified robustness of machine learning classifiers against adversarial perturbations. In particular, we propose the first universally approximated certified robustness (UniCR) framework, which can approximate the robustness…

机器学习 · 计算机科学 2022-07-12 Hanbin Hong , Binghui Wang , Yuan Hong

Randomized smoothing has recently emerged as an effective tool that enables certification of deep neural network classifiers at scale. All prior art on randomized smoothing has focused on isotropic $\ell_p$ certification, which has the…

Adversarial examples pose a security risk as they can alter decisions of a machine learning classifier through slight input perturbations. Certified robustness has been proposed as a mitigation where given an input $\mathbf{x}$, a…

密码学与安全 · 计算机科学 2024-09-10 Jiankai Jin , Olga Ohrimenko , Benjamin I. P. Rubinstein

We propose Adaptive Randomized Smoothing (ARS) to certify the predictions of our test-time adaptive models against adversarial examples. ARS extends the analysis of randomized smoothing using $f$-Differential Privacy to certify the adaptive…

机器学习 · 计算机科学 2025-07-11 Saiyue Lyu , Shadab Shaikh , Frederick Shpilevskiy , Evan Shelhamer , Mathias Lécuyer

Randomized smoothing has recently attracted attentions in the field of adversarial robustness to provide provable robustness guarantees on smoothed neural network classifiers. However, existing works show that vanilla randomized smoothing…

机器学习 · 计算机科学 2023-10-13 Linbo Liu , Trong Nghia Hoang , Lam M. Nguyen , Tsui-Wei Weng

Strong theoretical guarantees of robustness can be given for ensembles of classifiers generated by input randomization. Specifically, an $\ell_2$ bounded adversary cannot alter the ensemble prediction generated by an additive isotropic…

机器学习 · 计算机科学 2020-02-28 Guang-He Lee , Yang Yuan , Shiyu Chang , Tommi S. Jaakkola

The study of provable adversarial robustness has mostly been limited to classification tasks and models with one-dimensional real-valued outputs. We extend the scope of certifiable robustness to problems with more general and structured…

机器学习 · 计算机科学 2022-01-13 Aounon Kumar , Tom Goldstein

We present a new certification method for image and point cloud segmentation based on randomized smoothing. The method leverages a novel scalable algorithm for prediction and certification that correctly accounts for multiple testing,…

机器学习 · 计算机科学 2022-07-28 Marc Fischer , Maximilian Baader , Martin Vechev

Randomized smoothing has become essential for achieving certified adversarial robustness in machine learning models. However, current methods primarily use isotropic noise distributions that are uniform across all data dimensions, such as…

机器学习 · 计算机科学 2025-10-24 Hanbin Hong , Ashish Kundu , Ali Payani , Binghui Wang , Yuan Hong

Modern machine learning models with very high accuracy have been shown to be vulnerable to small, adversarially chosen perturbations of the input. Given black-box access to a high-accuracy classifier $f$, we show how to construct a new…

机器学习 · 计算机科学 2019-12-17 Grzegorz Głuch , Rüdiger Urbanke

Recent work in adversarial robustness suggests that natural data distributions are localized, i.e., they place high probability in small volume regions of the input space, and that this property can be utilized for designing classifiers…

机器学习 · 计算机科学 2024-05-24 Ambar Pal , René Vidal , Jeremias Sulam

Certification for machine learning is proving that no adversarial sample can evade a model within a range under certain conditions, a necessity for safety-critical domains. Common certification methods for segmentation use a flat set of…

机器学习 · 计算机科学 2024-06-05 Alaa Anani , Tobias Lorenz , Bernt Schiele , Mario Fritz

Recently, techniques have been developed to provably guarantee the robustness of a classifier to adversarial perturbations of bounded L_1 and L_2 magnitudes by using randomized smoothing: the robust classification is a consensus of base…

机器学习 · 计算机科学 2019-11-22 Alexander Levine , Soheil Feizi

Randomized smoothing is a defensive technique to achieve enhanced robustness against adversarial examples which are small input perturbations that degrade the performance of neural network models. Conventional randomized smoothing adds…

机器学习 · 计算机科学 2024-07-17 Ryo Hase , Ye Wang , Toshiaki Koike-Akino , Jing Liu , Kieran Parsons

Deep Neural Network (DNN) based classifiers have recently been used for the modulation classification of RF signals. These classifiers have shown impressive performance gains relative to conventional methods, however, they are vulnerable to…

机器学习 · 计算机科学 2024-10-10 Wenhan Zhang , Meiyu Zhong , Ravi Tandon , Marwan Krunz

Model attribution is a popular tool to explain the rationales behind model predictions. However, recent work suggests that the attributions are vulnerable to minute perturbations, which can be added to input samples to fool the attributions…

机器学习 · 计算机科学 2024-05-13 Fan Wang , Adams Wai-Kin Kong

Distributionally Robust (DR) optimization aims to certify worst-case risk within a Wasserstein uncertainty set. Current certifications typically rely either on global Lipschitz bounds, which are often conservative, or on local gradient…

最优化与控制 · 数学 2026-04-09 Hong T. M. Chu

Randomized smoothing provides strong, model-agnostic robustness certificates, but existing guarantees are limited to single modalities, treating continuous and discrete inputs in isolation. This limitation becomes critical in multimodal…

机器学习 · 计算机科学 2026-05-14 Blaise Delattre , Hengyu Wu , Paul Caillon , Wei Yang Bryan Lim , Yang Cao

Randomized smoothing has become a leading approach for certifying adversarial robustness in machine learning models. However, a persistent gap remains between theoretical certified robustness and empirical robustness accuracy. This paper…

机器学习 · 计算机科学 2025-04-10 Blaise Delattre , Paul Caillon , Quentin Barthélemy , Erwan Fagnou , Alexandre Allauzen

Randomized Smoothing (RS) offers formal $\ell_2$ guarantees for arbitrary base classifiers but faces two key practical bottlenecks: (i) it often relies on noise-augmented training to achieve nontrivial certificates, which increases training…

机器学习 · 计算机科学 2026-04-29 Miao Lin , MD Saifur Rahman Mazumder , Feng Yu , Daniel Takabi , Rui Ning