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Gaussian errors are sometimes inappropriate in a multivariate linear regression setting because, for example, the data contain outliers. In such situations, it is often assumed that the error density is a scale mixture of multivariate…

Statistics Theory · Mathematics 2016-01-28 James P. Hobert , Yeun Ji Jung , Kshitij Khare , Qian Qin

We propose a novel algorithm for data augmentation in nonlinear over-parametrized regression. Our data augmentation algorithm borrows from the literature on causality and extends the recently proposed Anchor regression (AR) method for data…

Machine Learning · Computer Science 2023-11-29 Nora Schneider , Shirin Goshtasbpour , Fernando Perez-Cruz

This paper proposes a strategy for regularized estimation in multi-way contingency tables, which are common in meta-analyses and multi-center clinical trials. Our approach is based on data augmentation, and appeals heavily to a novel class…

Methodology · Statistics 2011-09-21 Nicholas G. Polson , James G. Scott

In the past few years, deep generative models, such as generative adversarial networks \autocite{GAN}, variational autoencoders \autocite{vaepaper}, and their variants, have seen wide adoption for the task of modelling complex data…

Machine Learning · Statistics 2020-09-02 Guilherme G. P. Freitas Pires , Mário A. T. Figueiredo

Data augmentation has become a standard component of vision pre-trained models to capture the invariance between augmented views. In practice, augmentation techniques that mask regions of a sample with zero/mean values or patches from other…

Computer Vision and Pattern Recognition · Computer Science 2023-10-31 Shentong Mo , Zhun Sun , Chao Li

Data augmentation is an essential part of the training process applied to deep learning models. The motivation is that a robust training process for deep learning models depends on large annotated datasets, which are expensive to be…

Computer Vision and Pattern Recognition · Computer Science 2017-10-31 Toan Tran , Trung Pham , Gustavo Carneiro , Lyle Palmer , Ian Reid

Let $\pi$ denote the intractable posterior density that results when the likelihood from a multivariate linear regression model with errors from a scale mixture of normals is combined with the standard non-informative prior. There is a…

Statistics Theory · Mathematics 2015-12-08 Qian Qin , James P. Hobert

An efficient monotone data augmentation (MDA) algorithm is proposed for missing data imputation for incomplete multivariate nonnormal data that may contain variables of different types, and are modeled by a sequence of regression models…

Methodology · Statistics 2018-11-21 Yongqiang Tang

Data augmentation is a widely used training trick in deep learning to improve the network generalization ability. Despite many encouraging results, several recent studies did point out limitations of the conventional data augmentation…

Machine Learning · Computer Science 2020-10-06 Yi Xu , Asaf Noy , Ming Lin , Qi Qian , Hao Li , Rong Jin

Data augmentation is becoming essential for improving regression performance in critical applications including manufacturing, climate prediction, and finance. Existing techniques for data augmentation largely focus on classification tasks…

Machine Learning · Computer Science 2022-08-18 Seong-Hyeon Hwang , Steven Euijong Whang

Seemingly unrelated linear regression models are introduced in which the distribution of the errors is a finite mixture of Gaussian components. Identifiability conditions are provided. The score vector and the Hessian matrix are derived.…

Methodology · Statistics 2014-03-18 Giuliano Galimberti , Elena Scardovi , Gabriele Soffritti

Data augmentation is a series of techniques that generate high-quality artificial data by manipulating existing data samples. By leveraging data augmentation techniques, AI models can achieve significantly improved applicability in tasks…

Machine Learning · Computer Science 2025-10-16 Zaitian Wang , Pengfei Wang , Kunpeng Liu , Pengyang Wang , Yanjie Fu , Chang-Tien Lu , Charu C. Aggarwal , Jian Pei , Yuanchun Zhou

Data augmentation, a technique in which a training set is expanded with class-preserving transformations, is ubiquitous in modern machine learning pipelines. In this paper, we seek to establish a theoretical framework for understanding data…

Machine Learning · Computer Science 2019-03-21 Tri Dao , Albert Gu , Alexander J. Ratner , Virginia Smith , Christopher De Sa , Christopher Ré

In this paper we study the problem of statistical inference on the parameters of the semiparametric variance-mean mixtures. This class of mixtures has recently become rather popular in statistical and financial modelling. We design a…

Other Statistics · Statistics 2017-05-23 Denis Belomestny , Vladimir Panov

Imbalanced regression arises when the target distribution is skewed, causing models to focus on dense regions and struggle with underrepresented (minority) samples. Despite its relevance across many applications, few methods have been…

Machine Learning · Computer Science 2025-08-05 Shayan Alahyari , Shiva Mehdipour Ghobadlou , Mike Domaratzki

Data augmentation methods have been shown to be a fundamental technique to improve generalization in tasks such as image, text and audio classification. Recently, automated augmentation methods have led to further improvements on image…

Machine Learning · Computer Science 2021-02-17 Elizabeth Fons , Paula Dawson , Xiao-jun Zeng , John Keane , Alexandros Iosifidis

Data augmentation improves the convergence of iterative algorithms, such as the EM algorithm and Gibbs sampler by introducing carefully designed latent variables. In this article, we first propose a data augmentation scheme for the…

Methodology · Statistics 2022-07-06 Linda S. L. Tan

Mixup is a popular data augmentation technique based on taking convex combinations of pairs of examples and their labels. This simple technique has been shown to substantially improve both the robustness and the generalization of the…

Machine Learning · Computer Science 2021-03-19 Linjun Zhang , Zhun Deng , Kenji Kawaguchi , Amirata Ghorbani , James Zou

Mixup is a data augmentation technique that creates new examples as convex combinations of training points and labels. This simple technique has empirically shown to improve the accuracy of many state-of-the-art models in different settings…

Machine Learning · Computer Science 2026-05-28 Luigi Carratino , Moustapha Cissé , Rodolphe Jenatton , Jean-Philippe Vert

Medical image segmentation models are often trained on curated datasets, leading to performance degradation when deployed in real-world clinical settings due to mismatches between training and test distributions. While data augmentation…

Computer Vision and Pattern Recognition · Computer Science 2025-05-16 Puru Vaish , Felix Meister , Tobias Heimann , Christoph Brune , Jelmer M. Wolterink