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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

The mixed effects model for repeated measures (MMRM) has been widely used for the analysis of longitudinal clinical data collected at a number of fixed time points. We propose a robust extension of the MMRM for skewed and heavy-tailed data…

Methodology · Statistics 2019-08-12 Yongqiang Tang

Data augmentation, by the introduction of auxiliary variables, has become an ubiquitous technique to improve convergence properties, simplify the implementation or reduce the computational time of inference methods such as Markov chain…

Methodology · Statistics 2020-09-30 Maxime Vono , Nicolas Dobigeon , Pierre Chainais

Multiple imputation is a highly recommended technique to deal with missing data, but the application to longitudinal datasets can be done in multiple ways. When a new wave of longitudinal data arrives, we can treat the combined data of…

Methodology · Statistics 2026-05-18 X. M. Kavelaars , S. van Buuren , J. R. van Ginkel

The data augmentation (DA) algorithms are popular Markov chain Monte Carlo (MCMC) algorithms often used for sampling from intractable probability distributions. This review article comprehensively surveys DA MCMC algorithms, highlighting…

Computation · Statistics 2024-06-18 Vivekananda Roy , Kshitij Khare , James P. Hobert

In clinical trials, mixed effects models for repeated measures (MMRM) and pattern mixture models (PMM) are often used to analyze longitudinal continuous outcomes. We describe a simple missing data imputation algorithm for the MMRM that can…

Methodology · Statistics 2016-10-13 Yongqiang Tang

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

Data augmentation (DA) is indispensable in modern machine learning and deep neural networks. The basic idea of DA is to construct new training data to improve the model's generalization by adding slightly disturbed versions of existing data…

Machine Learning · Computer Science 2024-06-05 Chengtai Cao , Fan Zhou , Yurou Dai , Jianping Wang , Kunpeng Zhang

We propose the first unified theoretical analysis of mixed sample data augmentation (MSDA), such as Mixup and CutMix. Our theoretical results show that regardless of the choice of the mixing strategy, MSDA behaves as a pixel-level…

Machine Learning · Computer Science 2022-08-23 Chanwoo Park , Sangdoo Yun , Sanghyuk Chun

The data augmentation (DA) algorithm is a widely used Markov chain Monte Carlo (MCMC) algorithm that is based on a Markov transition density of the form $p(x|x')=\int_{\mathsf{Y}}f_{X|Y}(x|y)f_{Y|X}(y|x') dy$, where $f_{X|Y}$ and $f_{Y|X}$…

Statistics Theory · Mathematics 2008-12-18 James P. Hobert , Dobrin Marchev

Gaussian mixtures are commonly used for modeling heavy-tailed error distributions in robust linear regression. Combining the likelihood of a multivariate robust linear regression model with a standard improper prior distribution yields an…

Statistics Theory · Mathematics 2023-01-05 Haoxiang Li , Qian Qin , Galin L. Jones

Data augmentation (DA) algorithms are widely used for Bayesian inference due to their simplicity. In massive data settings, however, DA algorithms are prohibitively slow because they pass through the full data in any iteration, imposing…

Computation · Statistics 2021-09-21 Jiayuan Zhou , Kshitij Khare , Sanvesh Srivastava

Missing data imputation is a fundamental problem in data analysis, and many studies have been conducted to improve its performance by exploring model structures and learning procedures. However, data augmentation, as a simple yet effective…

Machine Learning · Computer Science 2023-04-07 Yufeng Wang , Dan Li , Cong Xu , Min Yang

Existing automatic data augmentation (DA) methods either ignore updating DA's parameters according to the target model's state during training or adopt update strategies that are not effective enough. In this work, we design a novel data…

Computer Vision and Pattern Recognition · Computer Science 2023-05-11 Xiaogang Xu , Hengshuang Zhao

Standard Markov decision process (MDP) and reinforcement learning algorithms optimize the policy with respect to the expected gain. We propose an algorithm which enables to optimize an alternative objective: the probability that the gain is…

Machine Learning · Computer Science 2023-03-06 Vincent Corlay , Jean-Christophe Sibel

This research deals with the estimation and imputation of missing data in longitudinal models with a Poisson response variable inflated with zeros. A methodology is proposed that is based on the use of maximum likelihood, assuming that data…

Methodology · Statistics 2024-09-18 D. S. Martinez-Lobo , O. O. Melo , N. A. Cruz

Data augmentation (DA) methods tailored to specific domains generate synthetic samples by applying transformations that are appropriate for the characteristics of the underlying data domain, such as rotations on images and time warping on…

Machine Learning · Computer Science 2024-06-18 Ilya Kaufman , Omri Azencot

Balancing weights have been widely applied to single or monotone missingness due to empirical advantages over likelihood-based methods and inverse probability weighting approaches. This paper considers non-monotone missing data under the…

Methodology · Statistics 2024-12-13 Jianing Dong , Raymond K. W. Wong , Kwun Chuen Gary Chan

A wide variety of machine learning algorithms such as support vector machine (SVM), minimax probability machine (MPM), and Fisher discriminant analysis (FDA), exist for binary classification. The purpose of this paper is to provide a…

Machine Learning · Computer Science 2012-06-22 Akiko Takeda , Hiroyuki Mitsugi , Takafumi Kanamori

Multivariate longitudinal data of mixed-type are increasingly collected in many science domains. However, algorithms to cluster this kind of data remain scarce, due to the challenge to simultaneously model the within- and between-time…

Machine Learning · Statistics 2025-09-16 Francesco Amato , Julien Jacques
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