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We study the problem of robust data augmentation for regression tasks in the presence of noisy data. Data augmentation is essential for generalizing deep learning models, but most of the techniques like the popular Mixup are primarily…

Machine Learning · Computer Science 2024-08-19 Seong-Hyeon Hwang , Minsu Kim , Steven Euijong Whang

Learning in the reproducing kernel Hilbert space (RKHS) such as the support vector machine has been recognized as a promising technique. It continues to be highly effective and competitive in numerous prediction tasks, particularly in…

Machine Learning · Computer Science 2025-01-15 Gakuto Obi , Ayato Saito , Yuto Sasaki , Tsuyoshi Kato

Motivated by the increasing availability of low- and mixed-precision arithmetic on modern hardware, we develop mixed-precision variants of Lloyd's algorithm for k-means clustering. The main ingredient is a family of mixed-precision kernels…

Numerical Analysis · Mathematics 2026-05-26 Erin Carson , Xinye Chen , Xiaobo Liu

Data augmentation with \textbf{Mixup} has been proven an effective method to regularize the current deep neural networks. Mixup generates virtual samples and corresponding labels at once through linear interpolation. However, this one-stage…

Machine Learning · Computer Science 2022-06-07 Xiangjin Xie , Yangning Li , Wang Chen , Kai Ouyang , Li Jiang , Haitao Zheng

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 generates augmented samples by linearly interpolating inputs and labels with a controllable ratio. However, since it operates in the latent embedding level, the resulting samples are not human-interpretable. In contrast, LLM-based…

Computation and Language · Computer Science 2026-02-09 Fanshuang Kong , Richong Zhang , Qiyu Sun , Zhijie Nie , Ting Deng , Chunming Hu

Large deep neural networks are powerful, but exhibit undesirable behaviors such as memorization and sensitivity to adversarial examples. In this work, we propose mixup, a simple learning principle to alleviate these issues. In essence,…

Machine Learning · Computer Science 2018-05-01 Hongyi Zhang , Moustapha Cisse , Yann N. Dauphin , David Lopez-Paz

This paper introduces the kernel mixture network, a new method for nonparametric estimation of conditional probability densities using neural networks. We model arbitrarily complex conditional densities as linear combinations of a family of…

Machine Learning · Statistics 2017-05-22 Luca Ambrogioni , Umut Güçlü , Marcel A. J. van Gerven , Eric Maris

While deep neural networks show great performance on fitting to the training distribution, improving the networks' generalization performance to the test distribution and robustness to the sensitivity to input perturbations still remain as…

Machine Learning · Computer Science 2021-02-08 Jang-Hyun Kim , Wonho Choo , Hosan Jeong , Hyun Oh Song

Given imbalanced data, it is hard to train a good classifier using deep learning because of the poor generalization of minority classes. Traditionally, the well-known synthetic minority oversampling technique (SMOTE) for data augmentation,…

Machine Learning · Computer Science 2023-11-06 Wei-Chao Cheng , Tan-Ha Mai , Hsuan-Tien Lin

The K-means algorithm is among the most commonly used data clustering methods. However, the regular K-means can only be applied in the input space and it is applicable when clusters are linearly separable. The kernel K-means, which extends…

Machine Learning · Computer Science 2020-12-08 Amir Aradnia , Maryam Amir Haeri , Mohammad Mehdi Ebadzadeh

Many common clustering methods cannot be used for clustering multivariate longitudinal data in cases where variables exhibit high autocorrelations. In this article, a copula kernel mixture model (CKMM) is proposed for clustering data of…

Methodology · Statistics 2025-06-23 Xi Zhang , Orla A. Murphy , Paul D. McNicholas

Mixup is a widely adopted strategy for training deep networks, where additional samples are augmented by interpolating inputs and labels of training pairs. Mixup has shown to improve classification performance, network calibration, and…

Computer Vision and Pattern Recognition · Computer Science 2023-09-07 Thomas Mensink , Pascal Mettes

Mixup style data augmentation algorithms have been widely adopted in various tasks as implicit network regularization on representation learning to improve model generalization, which can be achieved by a linear interpolation of labeled…

Computer Vision and Pattern Recognition · Computer Science 2023-05-31 Kangjun Liu , Ke Chen , Lihua Guo , Yaowei Wang , Kui Jia

Mixup is the latest data augmentation technique that linearly interpolates input examples and the corresponding labels. It has shown strong effectiveness in image classification by interpolating images at the pixel level. Inspired by this…

Computation and Language · Computer Science 2020-11-12 Lichao Sun , Congying Xia , Wenpeng Yin , Tingting Liang , Philip S. Yu , Lifang He

In this work, we propose data augmentation methods for embeddings from pre-trained deep learning models that take a weighted combination of a pair of input embeddings, as inspired by Mixup, and combine such augmentation with extra label…

Machine Learning · Computer Science 2020-10-07 Cameron R. Wolfe , Keld T. Lundgaard

Building highly non-linear and non-parametric models is central to several state-of-the-art machine learning systems. Kernel methods form an important class of techniques that induce a reproducing kernel Hilbert space (RKHS) for inferring…

Machine Learning · Statistics 2017-11-16 Huan Song , Jayaraman J. Thiagarajan , Prasanna Sattigeri , Andreas Spanias

In recent years, mixup regularization has gained popularity as an effective way to improve the generalization performance of deep learning models by training on convex combinations of training data. While many mixup variants have been…

Machine Learning · Computer Science 2025-06-16 Yousef El-Laham , Niccolò Dalmasso , Svitlana Vyetrenko , Vamsi K. Potluru , Manuela Veloso

In this chapter we review the main literature related to the recent advancement of deep neural-kernel architecture, an approach that seek the synergy between two powerful class of models, i.e. kernel-based models and artificial neural…

Machine Learning · Computer Science 2020-07-21 Siamak Mehrkanoon

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