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We study high-probability convergence in online learning, in the presence of heavy-tailed noise. To combat the heavy tails, a general framework of nonlinear SGD methods is considered, subsuming several popular nonlinearities like sign,…

Machine Learning · Computer Science 2025-03-24 Aleksandar Armacki , Shuhua Yu , Pranay Sharma , Gauri Joshi , Dragana Bajovic , Dusan Jakovetic , Soummya Kar

Diffusion and flow matching (FM) models have achieved remarkable progress in speech enhancement (SE), yet their dependence on multi-step generation is computationally expensive and vulnerable to discretization errors. Recent advances in…

Sound · Computer Science 2025-09-23 Gang Yang , Yue Lei , Wenxin Tai , Jin Wu , Jia Chen , Ting Zhong , Fan Zhou

Current hardware for quantum computing suffers from high levels of noise, and so to achieve practical fault-tolerant quantum computing will require powerful and efficient methods to correct for errors in quantum circuits. Here, we explore…

Quantum Physics · Physics 2023-08-16 Aditya Jain , Pavithran Iyer , Stephen D. Bartlett , Joseph Emerson

Randomized smoothing has achieved great success for certified robustness against adversarial perturbations. Given any arbitrary classifier, randomized smoothing can guarantee the classifier's prediction over the perturbed input with…

Computer Vision and Pattern Recognition · Computer Science 2022-08-22 Hanbin Hong , Yuan Hong

In text classification, creating an adversarial example means subtly perturbing a few words in a sentence without changing its meaning, causing it to be misclassified by a classifier. A concerning observation is that a significant portion…

Computation and Language · Computer Science 2025-07-15 Lei Xu , Sarah Alnegheimish , Laure Berti-Equille , Alfredo Cuesta-Infante , Kalyan Veeramachaneni

The literature on robustness towards common corruptions shows no consensus on whether adversarial training can improve the performance in this setting. First, we show that, when used with an appropriately selected perturbation radius,…

Machine Learning · Computer Science 2022-01-05 Klim Kireev , Maksym Andriushchenko , Nicolas Flammarion

Deep learning achieves state-of-the-art results in many tasks in computer vision and natural language processing. However, recent works have shown that deep networks can be vulnerable to adversarial perturbations, which raised a serious…

Machine Learning · Statistics 2019-11-04 Dinghuai Zhang , Tianyuan Zhang , Yiping Lu , Zhanxing Zhu , Bin Dong

Randomized smoothing is a defensive technique to achieve enhanced robustness against adversarial examples which are small input perturbations that degrade the performance of neural network models. Conventional randomized smoothing adds…

Machine Learning · Computer Science 2024-07-17 Ryo Hase , Ye Wang , Toshiaki Koike-Akino , Jing Liu , Kieran Parsons

Characterizing imaging noise is notoriously data-intensive and device-dependent, as modern sensors entangle physical signals with complex algorithmic artifacts. Current paradigms struggle to disentangle these factors without massive…

Computer Vision and Pattern Recognition · Computer Science 2026-01-27 Yuanjie Gu , Yiqun Wang , Chaohui Yu , Ang Xuan , Fan Wang , Zhi Lu , Biqin Dong

Adversarial examples are perturbed inputs designed to fool machine learning models. Adversarial training injects such examples into training data to increase robustness. To scale this technique to large datasets, perturbations are crafted…

Machine Learning · Statistics 2020-04-28 Florian Tramèr , Alexey Kurakin , Nicolas Papernot , Ian Goodfellow , Dan Boneh , Patrick McDaniel

The use of low-bit quantization has emerged as an indispensable technique for enabling the efficient training of large-scale models. Despite its widespread empirical success, a rigorous theoretical understanding of its impact on learning…

Machine Learning · Statistics 2026-02-17 Dechen Zhang , Junwei Su , Difan Zou

Unsupervised anomalous sound detection aims to detect unknown anomalous sounds by training a model using only normal audio data. Despite advancements in self-supervised methods, the issue of frequent false alarms when handling samples of…

Sound · Computer Science 2025-09-19 Shun Huang , Zhihua Fang , Liang He

In model-based reinforcement learning, most algorithms rely on simulating trajectories from one-step models of the dynamics learned on data. A critical challenge of this approach is the compounding of one-step prediction errors as the…

Machine Learning · Computer Science 2024-02-06 Abdelhakim Benechehab , Albert Thomas , Giuseppe Paolo , Maurizio Filippone , Balázs Kégl

Optimization under heavy-tailed noise has become popular recently, since it better fits many modern machine learning tasks, as captured by empirical observations. Concretely, instead of a finite second moment on gradient noise, a bounded…

Optimization and Control · Mathematics 2026-05-19 Zijian Liu

Deep reinforcement learning models are vulnerable to adversarial attacks that can decrease a victim's cumulative expected reward by manipulating the victim's observations. Despite the efficiency of previous optimization-based methods for…

Machine Learning · Computer Science 2023-02-28 You Qiaoben , Chengyang Ying , Xinning Zhou , Hang Su , Jun Zhu , Bo Zhang

We develop a worst-case complexity theory for stochastically preconditioned stochastic gradient descent (SPSGD) and its accelerated variants under heavy-tailed noise, a setting that encompasses widely used adaptive methods such as Adam,…

Machine Learning · Computer Science 2026-02-17 Yuchen Fang , James Demmel , Javad Lavaei

Neural networks are vulnerable to adversarial attacks: adding well-crafted, imperceptible perturbations to their input can modify their output. Adversarial training is one of the most effective approaches to training robust models against…

Machine Learning · Computer Science 2023-08-09 Hadi M. Dolatabadi , Sarah Erfani , Christopher Leckie

Sensitivity to adversarial noise hinders deployment of machine learning algorithms in security-critical applications. Although many adversarial defenses have been proposed, robustness to adversarial noise remains an open problem. The most…

Machine Learning · Computer Science 2020-08-13 Alex Serban , Erik Poll , Joost Visser

Adversarial training (AT) is currently one of the most successful methods to obtain the adversarial robustness of deep neural networks. However, the phenomenon of robust overfitting, i.e., the robustness starts to decrease significantly…

Machine Learning · Computer Science 2021-12-23 Jihoon Tack , Sihyun Yu , Jongheon Jeong , Minseon Kim , Sung Ju Hwang , Jinwoo Shin

The discontinuous operations inherent in quantization and sparsification introduce a long-standing obstacle to backpropagation, particularly in ultra-low precision and sparse regimes. While the community has long viewed quantization as…

Machine Learning · Computer Science 2026-03-11 Chengxi Ye , Grace Chu , Yanfeng Liu , Yichi Zhang , Lukasz Lew , Li Zhang , Mark Sandler , Andrew Howard
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