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Mixture models, such as Gaussian mixture models, are widely used in machine learning to represent complex data distributions. A key challenge, especially in high-dimensional settings, is to determine the mixture order and estimate the…

Optimization and Control · Mathematics 2025-09-30 Srećko Đurašinović , Jean-Bernard Lasserre , Victor Magron

Data augmentation is widely used in vision to introduce variation and mitigate overfitting, by enabling models to learn invariant properties. However, augmentation only indirectly captures these properties and does not explicitly constrain…

Computer Vision and Pattern Recognition · Computer Science 2026-03-19 Andy Dimnaku , Abdullah Yusuf Kavranoglu , Yaser Abu-Mostafa

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 a general framework for regularization in M-estimation problems under time dependent (absolutely regular-mixing) data which encompasses many of the existing estimators. We derive non-asymptotic concentration bounds for the…

Statistics Theory · Mathematics 2018-01-04 Demian Pouzo

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

Data augmentation is an effective and universal technique for improving generalization performance of deep neural networks. It could enrich diversity of training samples that is essential in medical image segmentation tasks because 1) the…

Image and Video Processing · Electrical Eng. & Systems 2020-12-29 Ju Xu , Mengzhang Li , Zhanxing Zhu

Gaussian mixture models (GMM) are the most widely used statistical model for the $k$-means clustering problem and form a popular framework for clustering in machine learning and data analysis. In this paper, we propose a natural semi-random…

Data Structures and Algorithms · Computer Science 2017-11-27 Pranjal Awasthi , Aravindan Vijayaraghavan

Data augmentation methods usually apply the same augmentation (or a mix of them) to all the training samples. For example, to perturb data with noise, the noise is sampled from a Normal distribution with a fixed standard deviation, for all…

Expanding a lower-dimensional problem to a higher-dimensional space and then projecting back is often beneficial. This article rigorously investigates this perspective in the context of finite mixture models, namely how to improve inference…

Methodology · Statistics 2014-11-10 Andrea Mercatanti , Fan Li , Fabrizia Mealli

We consider the analysis of continuous repeated measurement outcomes that are collected through time, also known as longitudinal data. A standard framework for analysing data of this kind is a linear Gaussian mixed-effects model within…

Methodology · Statistics 2018-04-10 Özgür Asar , David Bolin , Peter J. Diggle , Jonas Wallin

A scale mixture of normals is a distribution formed by mixing a collection of normal distributions with fixed mean but different variances. A generalized gamma scale mixture draws the variances from a generalized gamma distribution.…

Data augmentation has proven widely effective in computer vision. In Natural Language Processing (NLP) data augmentation remains an area of active research. There is no widely accepted augmentation technique that works well across tasks and…

Computation and Language · Computer Science 2023-03-07 Isabel Garcia Pietri , Kineret Stanley

The excellent performance of deep neural networks is usually accompanied by a large number of parameters and computations, which have limited their usage on the resource-limited edge devices. To address this issue, abundant methods such as…

Computer Vision and Pattern Recognition · Computer Science 2023-05-23 Muzhou Yu , Linfeng Zhang , Kaisheng Ma

In this work we address the problem of approximating high-dimensional data with a low-dimensional representation. We make the following contributions. We propose an inverse regression method which exchanges the roles of input and response,…

Machine Learning · Computer Science 2015-09-04 Antoine Deleforge , Florence Forbes , Radu Horaud

Graph Neural Networks (GNNs) often suffer from weak-generalization due to sparsely labeled data despite their promising results on various graph-based tasks. Data augmentation is a prevalent remedy to improve the generalization ability of…

Machine Learning · Computer Science 2022-03-29 Hyeonjin Park , Seunghun Lee , Sihyeon Kim , Jinyoung Park , Jisu Jeong , Kyung-Min Kim , Jung-Woo Ha , Hyunwoo J. Kim

As an effective strategy, data augmentation (DA) alleviates data scarcity scenarios where deep learning techniques may fail. It is widely applied in computer vision then introduced to natural language processing and achieves improvements in…

Computation and Language · Computer Science 2022-06-28 Bohan Li , Yutai Hou , Wanxiang Che

We introduce Noisy Feature Mixup (NFM), an inexpensive yet effective method for data augmentation that combines the best of interpolation based training and noise injection schemes. Rather than training with convex combinations of pairs of…

Machine Learning · Computer Science 2023-05-23 Soon Hoe Lim , N. Benjamin Erichson , Francisco Utrera , Winnie Xu , Michael W. Mahoney

Data augmentation is widely used to enhance generalization in visual classification tasks. However, traditional methods struggle when source and target domains differ, as in domain adaptation, due to their inability to address domain gaps.…

Computer Vision and Pattern Recognition · Computer Science 2025-09-30 Khawar Islam , Muhammad Zaigham Zaheer , Arif Mahmood , Karthik Nandakumar , Naveed Akhtar

In this work we introduce a mixture of GPs to address the data association problem, i.e. to label a group of observations according to the sources that generated them. Unlike several previously proposed GP mixtures, the novel mixture has…

Machine Learning · Statistics 2011-08-18 Miguel Lázaro-Gredilla , Steven Van Vaerenbergh , Neil Lawrence

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