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We introduce a new approach for designing computationally efficient learning algorithms that are tolerant to noise, and demonstrate its effectiveness by designing algorithms with improved noise tolerance guarantees for learning linear…

Machine Learning · Computer Science 2018-06-05 Pranjal Awasthi , Maria Florina Balcan , Philip M. Long

We construct algorithms with optimal error for learning with adversarial noise. The overarching theme of this work is that the use of \textsl{randomized} hypotheses can substantially improve upon the best error rates achievable with…

Data Structures and Algorithms · Computer Science 2026-04-06 Guy Blanc

We study the efficient learnability of geometric concept classes - specifically, low-degree polynomial threshold functions (PTFs) and intersections of halfspaces - when a fraction of the data is adversarially corrupted. We give the first…

Machine Learning · Computer Science 2017-07-06 Ilias Diakonikolas , Daniel M. Kane , Alistair Stewart

This paper is concerned with computationally efficient learning of homogeneous sparse halfspaces in $\mathbb{R}^d$ under noise. Though recent works have established attribute-efficient learning algorithms under various types of label noise…

Machine Learning · Statistics 2021-03-03 Jie Shen , Chicheng Zhang

We pose a fundamental question in computational learning theory: can we efficiently test whether a training set satisfies the assumptions of a given noise model? This question has remained unaddressed despite decades of research on learning…

Machine Learning · Computer Science 2026-05-11 Surbhi Goel , Adam R. Klivans , Konstantinos Stavropoulos , Arsen Vasilyan

Understanding noise tolerance of machine learning algorithms is a central quest in learning theory. In this work, we study the problem of computationally efficient PAC learning of halfspaces in the presence of malicious noise, where an…

Machine Learning · Computer Science 2025-02-18 Jie Shen

Self-supervised learning is an increasingly popular approach to unsupervised learning, achieving state-of-the-art results. A prevalent approach consists in contrasting data points and noise points within a classification task: this requires…

Machine Learning · Statistics 2023-01-25 Omar Chehab , Alexandre Gramfort , Aapo Hyvarinen

Contrastive learning has emerged as a powerful paradigm for self-supervised representation learning. This work analyzes the theoretical limits of contrastive learning under nasty noise, where an adversary modifies or replaces training…

Machine Learning · Computer Science 2025-02-26 Ziruo Zhao

Training energy-based models (EBMs) with noise-contrastive estimation (NCE) is theoretically feasible but practically challenging. Effective learning requires the noise distribution to be approximately similar to the target distribution,…

Machine Learning · Computer Science 2022-11-07 Nathaniel Xu

Learning a parametric model of a data distribution is a well-known statistical problem that has seen renewed interest as it is brought to scale in deep learning. Framing the problem as a self-supervised task, where data samples are…

Machine Learning · Statistics 2022-07-27 Omar Chehab , Alexandre Gramfort , Aapo Hyvarinen

In this paper, we investigate the following question: Can we obtain adversarially-trained models without training on adversarial examples? Our intuition is that training a model with inherent stochasticity, i.e., optimizing the parameters…

Machine Learning · Computer Science 2023-12-15 Ayoub Arous , Andres F Lopez-Lopera , Nael Abu-Ghazaleh , Ihsen Alouani

Adversarial attacks dramatically change the output of an otherwise accurate learning system using a seemingly inconsequential modification to a piece of input data. Paradoxically, empirical evidence indicates that even systems which are…

Machine Learning · Computer Science 2024-09-13 Oliver J. Sutton , Qinghua Zhou , Ivan Y. Tyukin , Alexander N. Gorban , Alexander Bastounis , Desmond J. Higham

The presence of label noise often misleads the training of deep neural networks. Departing from the recent literature which largely assumes the label noise rate is only determined by the true label class, the errors in human-annotated…

Machine Learning · Computer Science 2021-03-31 Zhaowei Zhu , Tongliang Liu , Yang Liu

Most studies on learning from noisy labels rely on unrealistic models of i.i.d. label noise, such as class-conditional transition matrices. More recent work on instance-dependent noise models are more realistic, but assume a single…

Machine Learning · Computer Science 2021-06-10 Glenn Dawson , Robi Polikar

Machine learning classifiers have been demonstrated, both empirically and theoretically, to be robust to label noise under certain conditions -- notably the typical assumption is that label noise is independent of the features given the…

Machine Learning · Computer Science 2022-06-03 Diane Oyen , Michal Kucer , Nick Hengartner , Har Simrat Singh

We study a fundamental question concerning adversarial noise models in statistical problems where the algorithm receives i.i.d. draws from a distribution $\mathcal{D}$. The definitions of these adversaries specify the type of allowable…

Machine Learning · Computer Science 2022-06-30 Guy Blanc , Jane Lange , Ali Malik , Li-Yang Tan

Inspired by recent work on learning with distribution shift, we give a general outlier removal algorithm called iterative polynomial filtering and show a number of striking applications for supervised learning with contamination: (1) We…

Machine Learning · Computer Science 2026-01-13 Adam R. Klivans , Konstantinos Stavropoulos , Kevin Tian , Arsen Vasilyan

Many optimization tasks have to be handled in noisy environments, where we cannot obtain the exact evaluation of a solution but only a noisy one. For noisy optimization tasks, evolutionary algorithms (EAs), a kind of stochastic…

Artificial Intelligence · Computer Science 2013-11-21 Chao Qian , Yang Yu , Zhi-Hua Zhou

A powerful category of (invisible) data poisoning attacks modify a subset of training examples by small adversarial perturbations to change the prediction of certain test-time data. Existing defense mechanisms are not desirable to deploy in…

Cryptography and Security · Computer Science 2023-07-21 Tian Yu Liu , Yu Yang , Baharan Mirzasoleiman

Noise Contrastive Estimation (NCE) is a popular approach for learning probability density functions parameterized up to a constant of proportionality. The main idea is to design a classification problem for distinguishing training data from…

Machine Learning · Computer Science 2023-03-03 Holden Lee , Chirag Pabbaraju , Anish Sevekari , Andrej Risteski
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