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Restricted isometry property (RIP), essentially stating that the linear measurements are approximately norm-preserving, plays a crucial role in studying low-rank matrix recovery problem. However, RIP fails in the robust setting, when a…

Machine Learning · Computer Science 2021-09-29 Jianhao Ma , Salar Fattahi

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…

Machine Learning · Computer Science 2025-11-11 Peter Blohm , Patrick Indri , Thomas Gärtner , Sagar Malhotra

Randomized Smoothing (RS) is currently a scalable certified defense method providing robustness certification against adversarial examples. Although significant progress has been achieved in providing defenses against $\ell_p$ adversaries,…

Machine Learning · Computer Science 2024-06-06 Youwei Shu , Xi Xiao , Derui Wang , Yuxin Cao , Siji Chen , Jason Xue , Linyi Li , Bo Li

Certification of neural networks is an important and challenging problem that has been attracting the attention of the machine learning community since few years. In this paper, we focus on randomized smoothing (RS) which is considered as…

Machine Learning · Computer Science 2022-09-14 Pol Labarbarie , Hatem Hajri , Marc Arnaudon

Training certifiably robust neural networks remains a notoriously hard problem. On one side, adversarial training optimizes under-approximations of the worst-case loss, which leads to insufficient regularization for certification, while on…

Machine Learning · Computer Science 2023-10-26 Yuhao Mao , Mark Niklas Müller , Marc Fischer , Martin Vechev

Ensuring string stability is critical for the safety and efficiency of large-scale interconnected systems. Although learning-based controllers (e.g., those based on reinforcement learning) have demonstrated strong performance in complex…

Systems and Control · Electrical Eng. & Systems 2025-09-15 Jingyuan Zhou , Haoze Wu , Haokun Yu , Kaidi Yang

Implicit neural representation (INR) has become the standard approach for arbitrary-scale image super-resolution (ASSR). To date, no empirical study has systematically examined the effectiveness of existing methods, nor investigated the…

Computer Vision and Pattern Recognition · Computer Science 2026-05-05 Tayyab Nasir , Daochang Liu , Ajmal Mian

Randomized smoothing is a recent and celebrated solution to certify the robustness of any classifier. While it indeed provides a theoretical robustness against adversarial attacks, the dimensionality of current classifiers necessarily…

Cryptography and Security · Computer Science 2022-05-02 Thibault Maho , Teddy Furon , Erwan Le Merrer

We study robust high-dimensional sparse regression under finite-variance heavy-tailed noise, epsilon-contamination, and alpha-mixing dependence via two subsampling estimators: Adaptive Importance Sampling (AIS) and Stratified Sub-sampling…

Statistics Theory · Mathematics 2026-03-11 Prateek Mittal , Joohi Chauhan

Randomized smoothing has achieved state-of-the-art certified robustness against $l_2$-norm adversarial attacks. However, it is not wholly resolved on how to find the optimal base classifier for randomized smoothing. In this work, we employ…

Machine Learning · Computer Science 2021-02-24 Chizhou Liu , Yunzhen Feng , Ranran Wang , Bin Dong

Variance reduction (VR) techniques for convergence rate acceleration of stochastic gradient descent (SGD) algorithm have been developed with great efforts recently. VR's two variants, stochastic variance-reduced-gradient (SVRG-SGD) and…

Distributed, Parallel, and Cluster Computing · Computer Science 2018-04-11 Fei Wang , Jun Ye , Weichen Li , Guihai Chen

Noise robustness in keyword spotting remains a challenge as many models fail to overcome the heavy influence of noises, causing the deterioration of the quality of feature embeddings. We proposed a contrastive regularization method called…

Sound · Computer Science 2022-09-15 Dianwen Ng , Jia Qi Yip , Tanmay Surana , Zhao Yang , Chong Zhang , Yukun Ma , Chongjia Ni , Eng Siong Chng , Bin Ma

Intensity-based image registration approaches rely on similarity measures to guide the search for geometric correspondences with high affinity between images. The properties of the used measure are vital for the robustness and accuracy of…

Computer Vision and Pattern Recognition · Computer Science 2019-02-22 Johan Öfverstedt , Joakim Lindblad , Nataša Sladoje

Sharpness-Aware Minimization (SAM) has emerged as a promising approach for effectively reducing the generalization error. However, SAM incurs twice the computational cost compared to base optimizer (e.g., SGD). We propose Asymptotic…

Computer Vision and Pattern Recognition · Computer Science 2025-03-31 Jiaxin Deng , Junbiao Pang , Baochang Zhang

Evaluating the reliability of intelligent physical systems against rare safety-critical events poses a huge testing burden for real-world applications. Simulation provides a useful platform to evaluate the extremal risks of these systems…

Machine Learning · Computer Science 2021-03-09 Mansur Arief , Zhiyuan Huang , Guru Koushik Senthil Kumar , Yuanlu Bai , Shengyi He , Wenhao Ding , Henry Lam , Ding Zhao

Conformal prediction (CP) converts any model's output to prediction sets with a guarantee to cover the true label with (adjustable) high probability. Robust CP extends this guarantee to worst-case (adversarial) inputs. Existing baselines…

Machine Learning · Computer Science 2025-03-10 Soroush H. Zargarbashi , Aleksandar Bojchevski

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,…

Computation and Language · Computer Science 2023-07-17 Zhen Zhang , Guanhua Zhang , Bairu Hou , Wenqi Fan , Qing Li , Sijia Liu , Yang Zhang , Shiyu Chang

Self-supervised learning (SSL) is a standard approach for representation learning in aerial imagery. Existing methods enforce invariance between augmented views, which works well when augmentations preserve semantic content. However, aerial…

Computer Vision and Pattern Recognition · Computer Science 2026-04-24 Wadii Boulila , Adel Ammar , Bilel Benjdira , Maha Driss

It is imperative to ensure the stability of every prediction made by a language model; that is, a language's prediction should remain consistent despite minor input variations, like word substitutions. In this paper, we investigate the…

Computation and Language · Computer Science 2024-06-06 Qian Lou , Xin Liang , Jiaqi Xue , Yancheng Zhang , Rui Xie , Mengxin Zheng

Within the PAC-Bayesian framework, the Gibbs classifier (defined on a posterior $Q$) and the corresponding $Q$-weighted majority vote classifier are commonly used to analyze the generalization performance. However, there exists a notable…

Machine Learning · Computer Science 2025-10-01 Gaojie Jin , Xinping Yi , Xiaowei Huang
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