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Recent studies show that deep neural networks (DNN) are vulnerable to adversarial examples, which aim to mislead DNNs by adding perturbations with small magnitude. To defend against such attacks, both empirical and theoretical defense…

机器学习 · 计算机科学 2022-04-22 Zhuolin Yang , Linyi Li , Xiaojun Xu , Bhavya Kailkhura , Tao Xie , Bo Li

During the inversion of discrete linear systems noise in data can be amplified and result in meaningless solutions. To combat this effect, characteristics of solutions that are considered desirable are mathematically implemented during…

数值分析 · 数学 2023-02-07 Michael J. Byrne , Rosemary A. Renaut

Randomized smoothing is a general technique for computing sample-dependent robustness guarantees against adversarial attacks for deep classifiers. Prior works on randomized smoothing against L_1 adversarial attacks use additive smoothing…

机器学习 · 计算机科学 2021-06-14 Alexander Levine , Soheil Feizi

Machine learning models trained with \emph{stochastic} gradient descent (SGD) can generalize better than those trained with deterministic gradient descent (GD). In this work, we study SGD's impact on generalization through the lens of the…

机器学习 · 计算机科学 2025-12-09 Hongjian Lan , Yucong Liu , Florian Schäfer

Batch normalization is widely used in deep learning to normalize intermediate activations. Deep networks suffer from notoriously increased training complexity, mandating careful initialization of weights, requiring lower learning rates,…

机器学习 · 统计学 2022-10-19 Lakshmi Annamalai , Chetan Singh Thakur

The success of Deep Neural Network (DNN) models significantly depends on the quality of provided annotations. In medical image segmentation, for example, having multiple expert annotations for each data point is common to minimize…

计算机视觉与模式识别 · 计算机科学 2025-02-12 Asma Ahmed Hashmi , Aigerim Zhumabayeva , Nikita Kotelevskii , Artem Agafonov , Mohammad Yaqub , Maxim Panov , Martin Takáč

Great advances in deep neural networks (DNNs) have led to state-of-the-art performance on a wide range of tasks. However, recent studies have shown that DNNs are vulnerable to adversarial attacks, which have brought great concerns when…

机器学习 · 计算机科学 2023-04-13 Linyi Li , Tao Xie , Bo Li

The current state-of-the-art defense methods against adversarial examples typically focus on improving either empirical or certified robustness. Among them, adversarially trained (AT) models produce empirical state-of-the-art defense…

机器学习 · 计算机科学 2022-08-02 Jay Nandy , Sudipan Saha , Wynne Hsu , Mong Li Lee , Xiao Xiang Zhu

In response to subtle adversarial examples flipping classifications of neural network models, recent research has promoted certified robustness as a solution. There, invariance of predictions to all norm-bounded attacks is achieved through…

机器学习 · 计算机科学 2022-10-13 Andrew C. Cullen , Paul Montague , Shijie Liu , Sarah M. Erfani , Benjamin I. P. Rubinstein

Building on a recent framework for distributionally robust optimization, we consider estimation of the inverse covariance matrix for multivariate data. We provide a novel notion of a Wasserstein ambiguity set specifically tailored to this…

机器学习 · 统计学 2019-10-08 Pedro Cisneros-Velarde , Sang-Yun Oh , Alexander Petersen

This paper presents novel methods for estimating certified radii in randomized smoothing, a technique crucial for certifying the robustness of neural networks against adversarial perturbations. Our proposed techniques significantly improve…

机器学习 · 计算机科学 2025-03-13 Zixuan Liang

In boosting, we aim to leverage multiple weak learners to produce a strong learner. At the center of this paradigm lies the concept of building the strong learner as a voting classifier, which outputs a weighted majority vote of the weak…

机器学习 · 计算机科学 2024-12-23 Arthur da Cunha , Kasper Green Larsen , Martin Ritzert

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…

机器学习 · 计算机科学 2022-02-07 Wei Huang , Chunrui Liu , Yilan Chen , Tianyu Liu , Richard Yi Da Xu

A widely believed explanation for the remarkable generalization capacities of overparameterized neural networks is that the optimization algorithms used for training induce an implicit bias towards benign solutions. To grasp this…

机器学习 · 计算机科学 2025-12-19 Maria Matveev , Vit Fojtik , Hung-Hsu Chou , Gitta Kutyniok , Johannes Maly

We study the generalization error of randomized learning algorithms -- focusing on stochastic gradient descent (SGD) -- using a novel combination of PAC-Bayes and algorithmic stability. Importantly, our generalization bounds hold for all…

机器学习 · 计算机科学 2020-06-23 Ben London

Randomized classifiers have been shown to provide a promising approach for achieving certified robustness against adversarial attacks in deep learning. However, most existing methods only leverage Gaussian smoothing noise and only work for…

机器学习 · 计算机科学 2020-10-21 Dinghuai Zhang , Mao Ye , Chengyue Gong , Zhanxing Zhu , Qiang Liu

Recently deep neural networks have shown their capacity to memorize training data, even with noisy labels, which hurts generalization performance. To mitigate this issue, we provide a simple but effective baseline method that is robust to…

机器学习 · 计算机科学 2019-09-30 Yucen Luo , Jun Zhu , Tomas Pfister

Complex-valued neural networks (CVNNs) have been widely applied to various fields, especially signal processing and image recognition. However, few works focus on the generalization of CVNNs, albeit it is vital to ensure the performance of…

机器学习 · 计算机科学 2021-12-08 Haowen Chen , Fengxiang He , Shiye Lei , Dacheng Tao

Although prior work in computer vision has shown strong correlations between in-distribution (ID) and out-of-distribution (OOD) accuracies, such relationships remain underexplored in audio-based models. In this study, we investigate how…

机器学习 · 计算机科学 2025-08-01 Anaïs Baranger , Lucas Maison

Although large language models (LLMs) have achieved great success in vast real-world applications, their vulnerabilities towards noisy inputs have significantly limited their uses, especially in high-stake environments. In these contexts,…

计算与语言 · 计算机科学 2023-07-17 Zhen Zhang , Guanhua Zhang , Bairu Hou , Wenqi Fan , Qing Li , Sijia Liu , Yang Zhang , Shiyu Chang