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Mixup is a powerful data augmentation method that interpolates between two or more examples in the input or feature space and between the corresponding target labels. Many recent mixup methods focus on cutting and pasting two or more…

Computer Vision and Pattern Recognition · Computer Science 2022-03-29 Shashanka Venkataramanan , Ewa Kijak , Laurent Amsaleg , Yannis Avrithis

Mixup is an efficient data augmentation approach that improves the generalization of neural networks by smoothing the decision boundary with mixed data. Recently, dynamic mixup methods have improved previous static policies effectively…

Machine Learning · Computer Science 2023-10-24 Zicheng Liu , Siyuan Li , Ge Wang , Cheng Tan , Lirong Wu , Stan Z. Li

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

Deep neural networks (DNNs) at convergence consistently represent the training data in the last layer via a highly symmetric geometric structure referred to as neural collapse. This empirical evidence has spurred a line of theoretical…

Machine Learning · Computer Science 2024-10-08 Arthur Jacot , Peter Súkeník , Zihan Wang , Marco Mondelli

Large capacity deep learning models are often prone to a high generalization gap when trained with a limited amount of labeled training data. A recent class of methods to address this problem uses various ways to construct a new training…

Machine Learning · Computer Science 2023-01-10 Mojtaba Faramarzi , Mohammad Amini , Akilesh Badrinaaraayanan , Vikas Verma , Sarath Chandar

When training overparameterized deep networks for classification tasks, it has been widely observed that the learned features exhibit a so-called "neural collapse" phenomenon. More specifically, for the output features of the penultimate…

Machine Learning · Computer Science 2023-03-09 Can Yaras , Peng Wang , Zhihui Zhu , Laura Balzano , Qing Qu

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

In the feature space, the collapse between features invokes critical problems in representation learning by remaining the features undistinguished. Interpolation-based augmentation methods such as mixup have shown their effectiveness in…

Machine Learning · Computer Science 2024-01-29 Hoyong Kim , Semi Lee , Kangil Kim

Deep neural networks have been demonstrated to achieve phenomenal success in many domains, and yet their inner mechanisms are not well understood. In this paper, we investigate the curvature of image manifolds, i.e., the manifold deviation…

Machine Learning · Computer Science 2023-11-17 Ilya Kaufman , Omri Azencot

Network calibration aims to accurately estimate the level of confidences, which is particularly important for employing deep neural networks in real-world systems. Recent approaches leverage mixup to calibrate the network's predictions…

Computer Vision and Pattern Recognition · Computer Science 2023-08-24 Jongyoun Noh , Hyekang Park , Junghyup Lee , Bumsub Ham

Deep learning has made significant advances in computer vision, particularly in image classification tasks. Despite their high accuracy on training data, deep learning models often face challenges related to complexity and overfitting. One…

Computer Vision and Pattern Recognition · Computer Science 2024-04-09 Minsoo Kang , Minkoo Kang , Suhyun Kim

Deep classifier neural networks enter the terminal phase of training (TPT) when training error reaches zero and tend to exhibit intriguing Neural Collapse (NC) properties. Neural collapse essentially represents a state at which the…

Machine Learning · Computer Science 2023-04-12 Vignesh Kothapalli

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

Learning in weight spaces, where neural networks process the weights of other deep neural networks, has emerged as a promising research direction with applications in various fields, from analyzing and editing neural fields and implicit…

MixUp is a data augmentation strategy where additional samples are generated during training by combining random pairs of training samples and their labels. However, selecting random pairs is not potentially an optimal choice. In this work,…

Computation and Language · Computer Science 2022-05-09 Seo Yeon Park , Cornelia Caragea

Dropout Regularization, serving to reduce variance, is nearly ubiquitous in Deep Learning models. We explore the relationship between the dropout rate and model complexity by training 2,000 neural networks configured with random…

Machine Learning · Computer Science 2021-08-30 Christopher Sun , Jai Sharma , Milind Maiti

Neural collapse (NC) is a simple and symmetric phenomenon for deep neural networks (DNNs) at the terminal phase of training, where the last-layer features collapse to their class means and form a simplex equiangular tight frame aligning…

Machine Learning · Computer Science 2024-05-03 Sicong Wang , Kuo Gai , Shihua Zhang

The use of Mixed-Integer Linear Programming (MILP) models to represent neural networks with Rectified Linear Unit (ReLU) activations has become increasingly widespread in the last decade. This has enabled the use of MILP technology to…

Optimization and Control · Mathematics 2024-02-01 Fabian Badilla , Marcos Goycoolea , Gonzalo Muñoz , Thiago Serra

One of the challenges in federated learning is the non-independent and identically distributed (non-iid) characteristics between heterogeneous devices, which cause significant differences in local updates and affect the performance of the…

Machine Learning · Computer Science 2023-04-03 Chenxi Huang , Liang Xie , Yibo Yang , Wenxiao Wang , Binbin Lin , Deng Cai

A phenomenon known as ''Neural Collapse (NC)'' in deep classification tasks, in which the penultimate-layer features and the final classifiers exhibit an extremely simple geometric structure, has recently attracted considerable attention,…

Machine Learning · Computer Science 2025-11-05 Chuang Ma , Tomoyuki Obuchi , Toshiyuki Tanaka