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This paper introduces posterior mean matching (PMM), a new method for generative modeling that is grounded in Bayesian inference. PMM uses conjugate pairs of distributions to model complex data of various modalities like images and text,…

Machine Learning · Computer Science 2024-12-23 Sebastian Salazar , Michal Kucer , Yixin Wang , Emily Casleton , David Blei

Environmental modeling faces critical challenges in predicting ecosystem dynamics across unmonitored regions due to limited and geographically imbalanced observation data. This challenge is compounded by spatial heterogeneity, causing…

Machine Learning · Computer Science 2025-11-18 Shiyuan Luo , Chonghao Qiu , Runlong Yu , Yiqun Xie , Xiaowei Jia

We study the behavior of the posterior distribution in high-dimensional Bayesian Gaussian linear regression models having $p\gg n$, with $p$ the number of predictors and $n$ the sample size. Our focus is on obtaining quantitative finite…

Statistics Theory · Mathematics 2014-01-06 Nate Strawn , Artin Armagan , Rayan Saab , Lawrence Carin , David Dunson

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

Deep reinforcement learning has achieved great strides in solving challenging motion control tasks. Recently, there has been significant work on methods for exploiting the data gathered during training, but there has been less work on how…

Artificial Intelligence · Computer Science 2018-04-13 Glen Berseth , Michiel van de Panne

Data augmentation is a critical component of deep learning pipelines, enhancing model generalization by increasing dataset diversity. Traditional augmentation strategies rely on manually designed transformations, stochastic sampling, or…

Computer Vision and Pattern Recognition · Computer Science 2025-08-06 Ant Duru , Alptekin Temizel

Data augmentation is a dominant method for reducing model overfitting and improving generalization. Most existing data augmentation methods tend to find a compromise in augmenting the data, \textit{i.e.}, increasing the amplitude of…

Computer Vision and Pattern Recognition · Computer Science 2023-10-17 Zehao Wang , Yiwen Guo , Qizhang Li , Guanglei Yang , Wangmeng Zuo

Field observations form the basis of many scientific studies, especially in ecological and social sciences. Despite efforts to conduct such surveys in a standardized way, observations can be prone to systematic measurement errors. The…

Methodology · Statistics 2021-08-31 Shiv Shankar , Daniel Sheldon

Dynamical downscaling is crucial for deriving high-resolution meteorological fields from coarse-scale simulations, enabling detailed analysis for critical applications such as weather forecasting and renewable energy modeling. Generative…

Machine Learning · Computer Science 2025-10-16 Alessandro Brusaferri , Andrea Ballarino

Data augmentation (DA) is a widely used technique for enhancing the training of deep neural networks. Recent DA techniques which achieve state-of-the-art performance always meet the need for diversity in augmented training samples. However,…

Computer Vision and Pattern Recognition · Computer Science 2022-12-06 Chenyang Wang , Junjun Jiang , Xiong Zhou , Xianming Liu

The hybrid approach to experimental design aims to control frequentist operating characteristics of Bayesian decision procedures. These operating characteristics are assessed by simulating sampling distributions of posterior summaries under…

Methodology · Statistics 2026-05-04 Luke Hagar , James M. McGree

Data augmentation is essential when applying Machine Learning in small-data regimes. It generates new samples following the observed data distribution while increasing their diversity and variability to help researchers and practitioners…

Machine Learning · Computer Science 2023-04-10 Audrey Poinsot , Alessandro Leite

Copula models have become one of the most widely used tools in the applied modelling of multivariate data. Similarly, Bayesian methods are increasingly used to obtain efficient likelihood-based inference. However, to date, there has been…

Methodology · Statistics 2015-10-13 Michael Stanley Smith

We consider the accuracy of an approximate posterior distribution in nonparametric regression problems by combining posterior distributions computed on subsets of the data defined by the locations of the independent variables. We show that…

Statistics Theory · Mathematics 2025-04-29 Botond Szabo , Amine Hadji , Aad van der Vaart

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

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

Data augmentations are useful in closing the sim-to-real domain gap when training on synthetic data. This is because they widen the training data distribution, thus encouraging the model to generalize better to other domains. Many image…

Computer Vision and Pattern Recognition · Computer Science 2024-03-12 Bram Vanherle , Nick Michiels , Frank Van Reeth

Mixture models with Gamma and or inverse-Gamma distributed mixture components are useful for medical image tissue segmentation or as post-hoc models for regression coefficients obtained from linear regression within a Generalised Linear…

Machine Learning · Statistics 2016-07-27 A. Llera , D. Vidaurre , R. H. R. Pruim , C. F. Beckmann

Being widely used in learning unbiased visual question answering (VQA) models, Data Augmentation (DA) helps mitigate language biases by generating extra training samples beyond the original samples. While today's DA methods can generate…

Computer Vision and Pattern Recognition · Computer Science 2024-01-30 Yuhang Zheng , Zhen Wang , Long Chen

In dynamic topic modeling, the proportional contribution of a topic to a document depends on the temporal dynamics of that topic's overall prevalence in the corpus. We extend the Dynamic Topic Model of Blei and Lafferty (2006) by explicitly…

Machine Learning · Statistics 2015-11-13 Chris Glynn , Surya T. Tokdar , David L. Banks , Brian Howard