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Regularization, whether explicit in terms of a penalty in the loss or implicit in the choice of algorithm, is a cornerstone of modern machine learning. Indeed, controlling the complexity of the model class is particularly important when…

机器学习 · 统计学 2024-10-22 Matteo Vilucchio , Nikolaos Tsilivis , Bruno Loureiro , Julia Kempe

It was recently demonstrated in [Chaudhury et al.,Non-Local Euclidean Medians,2012] that the denoising performance of Non-Local Means (NLM) can be improved at large noise levels by replacing the mean by the robust Euclidean median.…

计算机视觉与模式识别 · 计算机科学 2016-11-18 Kunal N. Chaudhury , Amit Singer

Deployment of deep neural networks (DNNs) in safety- or security-critical systems requires provable guarantees on their correct behaviour. A common requirement is robustness to adversarial perturbations in a neighbourhood around an input.…

机器学习 · 计算机科学 2018-11-21 Wenjie Ruan , Min Wu , Youcheng Sun , Xiaowei Huang , Daniel Kroening , Marta Kwiatkowska

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

Understanding when neural networks can be learned efficiently is a fundamental question in learning theory. Existing hardness results suggest that assumptions on both the input distribution and the network's weights are necessary for…

机器学习 · 计算机科学 2023-10-05 Amit Daniely , Nathan Srebro , Gal Vardi

Despite achieving impressive performance, state-of-the-art classifiers remain highly vulnerable to small, imperceptible, adversarial perturbations. This vulnerability has proven empirically to be very intricate to address. In this paper, we…

机器学习 · 计算机科学 2018-12-03 Alhussein Fawzi , Hamza Fawzi , Omar Fawzi

As machine learning (ML) systems become pervasive, safeguarding their security is critical. However, recently it has been demonstrated that motivated adversaries are able to mislead ML systems by perturbing test data using semantic…

机器学习 · 计算机科学 2021-11-17 Linyi Li , Maurice Weber , Xiaojun Xu , Luka Rimanic , Bhavya Kailkhura , Tao Xie , Ce Zhang , Bo Li

Recently, few certified defense methods have been developed to provably guarantee the robustness of a text classifier to adversarial synonym substitutions. However, all existing certified defense methods assume that the defenders are…

计算与语言 · 计算机科学 2021-07-27 Jiehang Zeng , Xiaoqing Zheng , Jianhan Xu , Linyang Li , Liping Yuan , Xuanjing Huang

Exponential generalization bounds with near-tight rates have recently been established for uniformly stable learning algorithms. The notion of uniform stability, however, is stringent in the sense that it is invariant to the data-generating…

机器学习 · 统计学 2022-06-09 Xiao-Tong Yuan , Ping Li

We consider the problem of robustly testing the norm of a high-dimensional sparse signal vector under two different observation models. In the first model, we are given $n$ i.i.d. samples from the distribution…

信息论 · 计算机科学 2022-11-08 Anand Jerry George , Clément L. Canonne

Label smoothing (LS) is an arising learning paradigm that uses the positively weighted average of both the hard training labels and uniformly distributed soft labels. It was shown that LS serves as a regularizer for training data with hard…

机器学习 · 计算机科学 2022-06-28 Jiaheng Wei , Hangyu Liu , Tongliang Liu , Gang Niu , Masashi Sugiyama , Yang Liu

Over the last few years, the phenomenon of adversarial examples --- maliciously constructed inputs that fool trained machine learning models --- has captured the attention of the research community, especially when the adversary is…

机器学习 · 计算机科学 2019-01-31 Nic Ford , Justin Gilmer , Nicolas Carlini , Dogus Cubuk

This paper revisits the simple, long-studied, yet still unsolved problem of making image classifiers robust to imperceptible perturbations. Taking CIFAR10 as an example, SOTA clean accuracy is about $100$%, but SOTA robustness to…

机器学习 · 计算机科学 2024-07-11 Brian R. Bartoldson , James Diffenderfer , Konstantinos Parasyris , Bhavya Kailkhura

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

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

The robustness of neural networks is challenged by adversarial examples that contain almost imperceptible perturbations to inputs, which mislead a classifier to incorrect outputs in high confidence. Limited by the extreme difficulty in…

机器学习 · 计算机科学 2020-10-20 Honglin Li , Yifei Fan , Frieder Ganz , Anthony Yezzi , Payam Barnaghi

Adversarial machine learning has been both a major concern and a hot topic recently, especially with the ubiquitous use of deep neural networks in the current landscape. Adversarial attacks and defenses are usually likened to a…

计算机视觉与模式识别 · 计算机科学 2022-12-08 Ngoc N. Tran , Anh Tuan Bui , Dinh Phung , Trung Le

Certifying the robustness of a graph-based machine learning model poses a critical challenge for safety. Current robustness certificates for graph classifiers guarantee output invariance with respect to the total number of node pair flips…

机器学习 · 计算机科学 2023-06-27 Pierre Osselin , Henry Kenlay , Xiaowen Dong

We propose and investigate probabilistic guarantees for the adversarial robustness of classification algorithms. While traditional formal verification approaches for robustness are intractable and sampling-based approaches do not provide…

机器学习 · 计算机科学 2025-11-11 Peter Blohm , Patrick Indri , Thomas Gärtner , Sagar Malhotra

Robustness is a key requirement for widespread deployment of machine learning algorithms, and has received much attention in both statistics and computer science. We study a natural model of robustness for high-dimensional statistical…

机器学习 · 计算机科学 2020-06-03 Pranjal Awasthi , Xue Chen , Aravindan Vijayaraghavan
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