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Robust statistics traditionally focuses on outliers, or perturbations in total variation distance. However, a dataset could be corrupted in many other ways, such as systematic measurement errors and missing covariates. We generalize the…

统计理论 · 数学 2020-12-15 Banghua Zhu , Jiantao Jiao , Jacob Steinhardt

Algorithmic stability is an established tool for analyzing generalization. While adversarial training enhances model robustness, it often suffers from robust overfitting and an enlarged generalization gap. Although recent work has…

机器学习 · 计算机科学 2025-09-24 Hesam Hosseini , Ying Cao , Ali H. Sayed

Modern neural networks are expected to simultaneously satisfy a host of desirable properties: accurate fitting to training data, generalization to unseen inputs, parameter and computational efficiency, and robustness to adversarial…

机器学习 · 计算机科学 2025-10-20 Melih Barsbey , Antônio H. Ribeiro , Umut Şimşekli , Tolga Birdal

This study investigates the vulnerability of semantic segmentation models to adversarial input perturbations, in the domain of off-road autonomous driving. Despite good performance in generic conditions, the state-of-the-art classifiers are…

计算机视觉与模式识别 · 计算机科学 2024-02-06 Pankaj Deoli , Rohit Kumar , Axel Vierling , Karsten Berns

Bayesian methods, distributionally robust optimization methods, and regularization methods are three pillars of trustworthy machine learning combating distributional uncertainty, e.g., the uncertainty of an empirical distribution compared…

机器学习 · 计算机科学 2024-03-26 Shixiong Wang , Haowei Wang

Minimizing an adversarial surrogate risk is a common technique for learning robust classifiers. Prior work showed that convex surrogate losses are not statistically consistent in the adversarial context -- or in other words, a minimizing…

机器学习 · 计算机科学 2025-09-29 Natalie S. Frank

Data used to train machine learning models can be adversarial--maliciously constructed by adversaries to fool the model. Challenge also arises by privacy, confidentiality, or due to legal constraints when data are geographically gathered…

机器学习 · 计算机科学 2020-07-09 Alireza Sadeghi , Gang Wang , Meng Ma , Georgios B. Giannakis

Adversarial robustness has proven to be a required property of machine learning algorithms. A key and often overlooked aspect of this problem is to try to make the adversarial noise magnitude as large as possible to enhance the benefits of…

机器学习 · 统计学 2020-03-31 Amirreza Shaeiri , Rozhin Nobahari , Mohammad Hossein Rohban

Here we propose a general theoretical method for analyzing the risk bound in the presence of adversaries. Specifically, we try to fit the adversarial learning problem into the minimax framework. We first show that the original adversarial…

机器学习 · 统计学 2019-01-25 Zhuozhuo Tu , Jingwei Zhang , Dacheng Tao

We first elucidate various fundamental properties of optimal adversarial predictors: the structure of optimal adversarial convex predictors in terms of optimal adversarial zero-one predictors, bounds relating the adversarial convex loss to…

机器学习 · 计算机科学 2024-04-30 Justin D. Li , Matus Telgarsky

Machine learning models are vulnerable to tiny adversarial input perturbations optimized to cause a very large output error. To measure this vulnerability, we need reliable methods that can find such adversarial perturbations. For image…

计算机视觉与模式识别 · 计算机科学 2024-07-15 Levente Halmosi , Bálint Mohos , Márk Jelasity

Probabilistic time series forecasting has played critical role in decision-making processes due to its capability to quantify uncertainties. Deep forecasting models, however, could be prone to input perturbations, and the notion of such…

机器学习 · 计算机科学 2022-02-25 TaeHo Yoon , Youngsuk Park , Ernest K. Ryu , Yuyang Wang

Adversarial attacks insert small, imperceptible perturbations to input samples that cause large, undesired changes to the output of deep learning models. Despite extensive research on generating adversarial attacks and building defense…

机器学习 · 计算机科学 2023-06-27 Vyas Raina , Mark Gales

We have widely observed that neural networks are vulnerable to small additive perturbations to the input causing misclassification. In this paper, we focus on the $\ell_0$-bounded adversarial attacks, and aim to theoretically characterize…

机器学习 · 计算机科学 2024-02-07 Payam Delgosha , Hamed Hassani , Ramtin Pedarsani

There are a number of hypotheses underlying the existence of adversarial examples for classification problems. These include the high-dimensionality of the data, high codimension in the ambient space of the data manifolds of interest, and…

The robustness of risk measures to changes in underlying loss distributions (distributional uncertainty) is of crucial importance in making well-informed decisions. In this paper, we quantify, for the class of distortion risk measures with…

风险管理 · 定量金融 2023-03-14 Carole Bernard , Silvana M. Pesenti , Steven Vanduffel

Conformal prediction (CP) provides distribution-free, finite-sample coverage guarantees but critically relies on exchangeability, a condition often violated under distribution shift. We study the robustness of split conformal prediction…

机器学习 · 统计学 2025-12-23 Xunlei Qian , Yue Xing

Deep neural networks are known to be vulnerable to small adversarial perturbations in test data. To defend against adversarial attacks, probabilistic classifiers have been proposed as an alternative to deterministic ones. However,…

Motivated by safety-critical applications, test-time attacks on classifiers via adversarial examples has recently received a great deal of attention. However, there is a general lack of understanding on why adversarial examples arise;…

机器学习 · 统计学 2019-06-20 Yizhen Wang , Somesh Jha , Kamalika Chaudhuri

The reliability of deep learning algorithms is fundamentally challenged by the existence of adversarial examples, which are incorrectly classified inputs that are extremely close to a correctly classified input. We explore the properties of…

机器学习 · 统计学 2021-07-23 Giacomo De Palma , Bobak T. Kiani , Seth Lloyd