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Data augmentation has been widely applied as an effective methodology to improve generalization in particular when training deep neural networks. Recently, researchers proposed a few intensive data augmentation techniques, which indeed…

Machine Learning · Computer Science 2019-11-22 Zhuoxun He , Lingxi Xie , Xin Chen , Ya Zhang , Yanfeng Wang , Qi Tian

Over the last decade, a wave of research has characterized the exact asymptotic risk of many high-dimensional models in the proportional regime. Two foundational results have driven this progress: Gaussian universality, which shows that the…

Statistics Theory · Mathematics 2025-09-10 Matthew Esmaili Mallory , Kevin Han Huang , Morgane Austern

This paper aims at analyzing the regularization effect that data augmentation induces on supervised regression methods in the proportional regime, where the number of covariates grows proportionally to the number of samples. We provide a…

Machine Learning · Statistics 2026-05-12 Lucas Morisset , Alain Durmus , Adrien Hardy

Generative data augmentation, which scales datasets by obtaining fake labeled examples from a trained conditional generative model, boosts classification performance in various learning tasks including (semi-)supervised learning, few-shot…

Machine Learning · Computer Science 2023-05-30 Chenyu Zheng , Guoqiang Wu , Chongxuan Li

Though data augmentation has become a standard component of deep neural network training, the underlying mechanism behind the effectiveness of these techniques remains poorly understood. In practice, augmentation policies are often chosen…

Machine Learning · Computer Science 2020-06-08 Raphael Gontijo-Lopes , Sylvia J. Smullin , Ekin D. Cubuk , Ethan Dyer

Machine learning models trained with purely observational data and the principle of empirical risk minimization \citep{vapnik_principles_1992} can fail to generalize to unseen domains. In this paper, we focus on the case where the problem…

Machine Learning · Statistics 2020-10-27 Maximilian Ilse , Jakub M. Tomczak , Patrick Forré

Data augmentation techniques have become standard practice in deep learning, as it has been shown to greatly improve the generalisation abilities of models. These techniques rely on different ideas such as invariance-preserving…

The assumption of Gaussian or Gaussian mixture data has been extensively exploited in a long series of precise performance analyses of machine learning (ML) methods, on large datasets having comparably numerous samples and features. To…

Machine Learning · Statistics 2025-03-14 Xiaoyi Mai , Zhenyu Liao

We use the theory of normal variance-mean mixtures to derive a data-augmentation scheme for a class of common regularization problems. This generalizes existing theory on normal variance mixtures for priors in regression and classification.…

Methodology · Statistics 2012-09-25 Nicholas G. Polson , James G. Scott

Data augmentation is a widely used trick when training deep neural networks: in addition to the original data, properly transformed data are also added to the training set. However, to the best of our knowledge, a clear mathematical…

Machine Learning · Statistics 2020-11-10 Shuxiao Chen , Edgar Dobriban , Jane H Lee

Data augmentation is one of the most widely used techniques to improve generalization in modern machine learning, often justified by its ability to promote invariance to label-irrelevant transformations. However, its theoretical role…

Machine Learning · Computer Science 2026-02-17 Abdelali Bouyahia , Frédéric LeBlanc , Mario Marchand

In this paper we study the asymptotics of linear regression in settings with non-Gaussian covariates where the covariates exhibit a linear dependency structure, departing from the standard assumption of independence. We model the covariates…

Machine Learning · Statistics 2024-12-10 Behrad Moniri , Hamed Hassani

Symmetry-aware methods for machine learning, such as data augmentation and equivariant architectures, encourage correct model behavior on all transformations (e.g. rotations or permutations) of the original dataset. These methods can…

Machine Learning · Computer Science 2026-03-31 Hannah Lawrence , Elyssa Hofgard , Vasco Portilheiro , Yuxuan Chen , Tess Smidt , Robin Walters

Despite the clear performance benefits of data augmentations, little is known about why they are so effective. In this paper, we disentangle several key mechanisms through which data augmentations operate. Establishing an exchange rate…

Machine Learning · Computer Science 2023-04-03 Jonas Geiping , Micah Goldblum , Gowthami Somepalli , Ravid Shwartz-Ziv , Tom Goldstein , Andrew Gordon Wilson

Confidence estimation is crucial for reflecting the reliability of large language models (LLMs), particularly in the widely used closed-source models. Utilizing data augmentation for confidence estimation is viable, but discussions focus on…

Machine Learning · Computer Science 2025-06-16 Rui Wang , Renyu Zhu , Minmin Lin , Runze Wu , Tangjie Lv , Changjie Fan , Haobo Wang

Small datasets are common in health research. However, the generalization performance of machine learning models is suboptimal when the training datasets are small. To address this, data augmentation is one solution. Augmentation increases…

Data augmentation (DA) is commonly used during model training, as it significantly improves test error and model robustness. DA artificially expands the training set by applying random noise, rotations, crops, or even adversarial…

Machine Learning · Computer Science 2019-05-09 Shashank Rajput , Zhili Feng , Zachary Charles , Po-Ling Loh , Dimitris Papailiopoulos

Data augmentation forms the cornerstone of many modern machine learning training pipelines; yet, the mechanisms by which it works are not clearly understood. Much of the research on data augmentation (DA) has focused on improving existing…

Machine Learning · Computer Science 2023-04-13 Damien A. Dablain , Nitesh V. Chawla

Data augmentation (DA) is a powerful workhorse for bolstering performance in modern machine learning. Specific augmentations like translations and scaling in computer vision are traditionally believed to improve generalization by generating…

Machine Learning · Computer Science 2024-02-29 Chi-Heng Lin , Chiraag Kaushik , Eva L. Dyer , Vidya Muthukumar

We study the universality property of estimators for high-dimensional linear models, which implies that the distribution of estimators is independent of whether the covariates follow a Gaussian distribution. Recent developments in…

Statistics Theory · Mathematics 2025-10-14 Toshiki Tsuda , Masaaki Imaizumi
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