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Non-parametric two-sample tests (TSTs) that judge whether two sets of samples are drawn from the same distribution, have been widely used in the analysis of critical data. People tend to employ TSTs as trusted basic tools and rarely have…

Machine Learning · Computer Science 2022-06-20 Xilie Xu , Jingfeng Zhang , Feng Liu , Masashi Sugiyama , Mohan Kankanhalli

Nearest neighbor is a popular nonparametric method for classification and regression with many appealing properties. In the big data era, the sheer volume and spatial/temporal disparity of big data may prohibit centrally processing and…

Statistics Theory · Mathematics 2018-12-13 Jiexin Duan , Xingye Qiao , Guang Cheng

The existence of adversarial examples points to a basic weakness of deep neural networks. One of the most effective defenses against such examples, adversarial training, entails training models with some degree of robustness, usually at the…

Machine Learning · Computer Science 2023-10-05 Matan Levi , Aryeh Kontorovich

The reliability of a learning model is key to the successful deployment of machine learning in various applications. However, it is difficult to describe the phenomenon due to the complicated nature of the problems in machine learning. It…

Machine Learning · Computer Science 2025-05-27 Ramin Barati , Reza Safabakhsh , Mohammad Rahmati

Recent work has proposed neural network pruning techniques to reduce the size of a network while preserving robustness against adversarial examples, i.e., well-crafted inputs inducing a misclassification. These methods, which we refer to as…

Machine Learning · Computer Science 2025-06-02 Giorgio Piras , Maura Pintor , Ambra Demontis , Battista Biggio , Giorgio Giacinto , Fabio Roli

Convolutional neural network-based medical image classifiers have been shown to be especially susceptible to adversarial examples. Such instabilities are likely to be unacceptable in the future of automated diagnoses. Though statistical…

Computer Vision and Pattern Recognition · Computer Science 2022-10-27 Isaac Wasserman

Deep neural networks are vulnerable to adversarial examples, i.e., carefully-perturbed inputs aimed to mislead classification. This work proposes a detection method based on combining non-linear dimensionality reduction and density…

Machine Learning · Computer Science 2019-05-02 Francesco Crecchi , Davide Bacciu , Battista Biggio

Over the past decade, numerous theories have been proposed to explain the widespread vulnerability of deep neural networks to adversarial evasion attacks. Among these, the theory of non-robust features proposed by Ilyas et al. has been…

Machine Learning · Computer Science 2026-01-05 Jennifer Crawford , Amol Khanna , Fred Lu , Amy R. Wagoner , Stella Biderman , Andre T. Nguyen , Edward Raff

Transfer learning is a widely-used paradigm in deep learning, where models pre-trained on standard datasets can be efficiently adapted to downstream tasks. Typically, better pre-trained models yield better transfer results, suggesting that…

Computer Vision and Pattern Recognition · Computer Science 2020-12-09 Hadi Salman , Andrew Ilyas , Logan Engstrom , Ashish Kapoor , Aleksander Madry

This paper studies robust nonparametric regression, in which an adversarial attacker can modify the values of up to $q$ samples from a training dataset of size $N$. Our initial solution is an M-estimator based on Huber loss minimization.…

Statistics Theory · Mathematics 2023-12-12 Puning Zhao , Zhiguo Wan

We consider the sample complexity of learning with adversarial robustness. Most prior theoretical results for this problem have considered a setting where different classes in the data are close together or overlapping. Motivated by some…

Machine Learning · Computer Science 2023-01-19 Robi Bhattacharjee , Somesh Jha , Kamalika Chaudhuri

Despite their numerous successes, there are many scenarios where adversarial risk metrics do not provide an appropriate measure of robustness. For example, test-time perturbations may occur in a probabilistic manner rather than being…

Machine Learning · Statistics 2021-08-03 Benjie Wang , Stefan Webb , Tom Rainforth

Adversarial pruning compresses models while preserving robustness. Current methods require access to adversarial examples during pruning. This significantly hampers training efficiency. Moreover, as new adversarial attacks and training…

Machine Learning · Computer Science 2022-10-11 Tong Jian , Zifeng Wang , Yanzhi Wang , Jennifer Dy , Stratis Ioannidis

This paper studies the statistical complexity of kernel hyperparameter tuning in the setting of active regression under adversarial noise. We consider the problem of finding the best interpolant from a class of kernels with unknown…

Machine Learning · Computer Science 2020-06-16 Raphael A. Meyer , Christopher Musco

The robustness of machine learning models has been questioned by the existence of adversarial examples. We examine the threat of adversarial examples in practical applications that require lightweight models for one-class classification.…

Machine Learning · Computer Science 2024-07-10 Matthew Lau , Haoran Wang , Alec Helbling , Matthew Hul , ShengYun Peng , Martin Andreoni , Willian T. Lunardi , Wenke Lee

We explore adversarial robustness in the setting in which it is acceptable for a classifier to abstain---that is, output no class---on adversarial examples. Adversarial examples are small perturbations of normal inputs to a classifier that…

Machine Learning · Computer Science 2019-11-27 Cassidy Laidlaw , Soheil Feizi

Increasing practical interest has been shown in regression problems where the errors, or disturbances, are centred in a way that reflects particular characteristics of the mechanism that generated the data. In economics this occurs in…

Statistics Theory · Mathematics 2009-09-07 Peter Hall , Ingrid Van Keilegom

Adversarial attack perturbs an image with an imperceptible noise, leading to incorrect model prediction. Recently, a few works showed inherent bias associated with such attack (robustness bias), where certain subgroups in a dataset (e.g.…

Computer Vision and Pattern Recognition · Computer Science 2022-05-06 Gaurav Kumar Nayak , Ruchit Rawal , Rohit Lal , Himanshu Patil , Anirban Chakraborty

Despite the vast success of Deep Neural Networks in numerous application domains, it has been shown that such models are not robust i.e., they are vulnerable to small adversarial perturbations of the input. While extensive work has been…

Machine Learning · Computer Science 2020-02-24 Sharon Qian , Dimitris Kalimeris , Gal Kaplun , Yaron Singer

Nearest neighbor classifier is arguably the most simple and popular nonparametric classifier available in the literature. However, due to the concentration of pairwise distances and the violation of the neighborhood structure, this…

Machine Learning · Statistics 2024-10-25 Annesha Ghosh , Deep Ghoshal , Bilol Banerjee , Anil K. Ghosh