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Training deep neural networks for classification often includes minimizing the training loss beyond the zero training error point. In this phase of training, a "neural collapse" behavior has been observed: the variability of features…

Machine Learning · Computer Science 2023-05-30 Tom Tirer , Haoxiang Huang , Jonathan Niles-Weed

Mixup is a popular regularization technique for training deep neural networks that improves generalization and increases robustness to certain distribution shifts. It perturbs input training data in the direction of other randomly-chosen…

Machine Learning · Computer Science 2023-10-10 Kristjan Greenewald , Anming Gu , Mikhail Yurochkin , Justin Solomon , Edward Chien

The Mixup method (Zhang et al. 2018), which uses linearly interpolated data, has emerged as an effective data augmentation tool to improve generalization performance and the robustness to adversarial examples. The motivation is to curtail…

Machine Learning · Computer Science 2020-12-25 Minjin Kim , Young-geun Kim , Dongha Kim , Yongdai Kim , Myunghee Cho Paik

Modern deep neural networks have achieved impressive performance on tasks from image classification to natural language processing. Surprisingly, these complex systems with massive amounts of parameters exhibit the same structural…

Machine Learning · Computer Science 2023-06-21 Hien Dang , Tho Tran , Stanley Osher , Hung Tran-The , Nhat Ho , Tan Nguyen

Mixup, a simple data augmentation method that randomly mixes two data points via linear interpolation, has been extensively applied in various deep learning applications to gain better generalization. However, the theoretical underpinnings…

Machine Learning · Computer Science 2023-03-16 Difan Zou , Yuan Cao , Yuanzhi Li , Quanquan Gu

There is a recently discovered and intriguing phenomenon called Neural Collapse: at the terminal phase of training a deep neural network for classification, the within-class penultimate feature means and the associated classifier vectors of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-10 Tong Liang , Jim Davis

In many machine learning applications, it is important for the model to provide confidence scores that accurately capture its prediction uncertainty. Although modern learning methods have achieved great success in predictive accuracy,…

Machine Learning · Computer Science 2022-07-12 Linjun Zhang , Zhun Deng , Kenji Kawaguchi , James Zou

Mixup is a data augmentation technique that creates new examples as convex combinations of training points and labels. This simple technique has empirically shown to improve the accuracy of many state-of-the-art models in different settings…

Machine Learning · Computer Science 2026-05-28 Luigi Carratino , Moustapha Cissé , Rodolphe Jenatton , Jean-Philippe Vert

While deep neural networks achieve great performance on fitting the training distribution, the learned networks are prone to overfitting and are susceptible to adversarial attacks. In this regard, a number of mixup based augmentation…

Machine Learning · Computer Science 2021-01-01 Jang-Hyun Kim , Wonho Choo , Hyun Oh Song

Modern deep neural networks for classification usually jointly learn a backbone for representation and a linear classifier to output the logit of each class. A recent study has shown a phenomenon called neural collapse that the within-class…

Machine Learning · Computer Science 2022-10-13 Yibo Yang , Shixiang Chen , Xiangtai Li , Liang Xie , Zhouchen Lin , Dacheng Tao

The deep Convolutional Neural Network (CNN) became very popular as a fundamental technique for image classification and objects recognition. To improve the recognition accuracy for the more complex tasks, deeper networks have being…

Computer Vision and Pattern Recognition · Computer Science 2019-06-25 Hideki Oki , Takio Kurita

The empirical emergence of neural collapse -- a surprising symmetry in the feature representations of the training data in the penultimate layer of deep neural networks -- has spurred a line of theoretical research aimed at its…

Machine Learning · Computer Science 2025-05-22 Peter Súkeník , Christoph H. Lampert , Marco Mondelli

Image classification with deep neural networks has seen a surge of technological breakthroughs with promising applications in areas such as face recognition, medical imaging, and autonomous driving. In engineering problems, however, such as…

Computer Vision and Pattern Recognition · Computer Science 2022-07-21 Hongjiang Li , Huanyi Shui , Alemayehu Admasu , Praveen Narayanan , Devesh Upadhyay

Data augmentation techniques play an important role in enhancing the performance of deep learning models. Despite their proven benefits in computer vision tasks, their application in the other domains remains limited. This paper proposes a…

Machine Learning · Computer Science 2024-01-23 Yousef El-Laham , Elizabeth Fons , Dillon Daudert , Svitlana Vyetrenko

The current paradigm of training deep neural networks for classification tasks includes minimizing the empirical risk that pushes the training loss value towards zero, even after the training error has been vanished. In this terminal phase…

Machine Learning · Computer Science 2024-06-07 Hien Dang , Tho Tran , Tan Nguyen , Nhat Ho

Neural Collapse refers to the curious phenomenon in the end of training of a neural network, where feature vectors and classification weights converge to a very simple geometrical arrangement (a simplex). While it has been observed…

Machine Learning · Computer Science 2024-11-14 Jingtong Su , Ya Shi Zhang , Nikolaos Tsilivis , Julia Kempe

Data heterogeneity is an inherent challenge that hinders the performance of federated learning (FL). Recent studies have identified the biased classifiers of local models as the key bottleneck. Previous attempts have used classifier…

Machine Learning · Computer Science 2023-08-29 Zexi Li , Xinyi Shang , Rui He , Tao Lin , Chao Wu

Most deep neural networks are trained under fixed network architectures and require retraining when the architecture changes. If expanding the network's size is needed, it is necessary to retrain from scratch, which is expensive. To avoid…

Machine Learning · Computer Science 2023-11-09 Chau Pham , Piotr Teterwak , Soren Nelson , Bryan A. Plummer

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

We develop a novel data-driven nonlinear mixup mechanism for graph data augmentation and present different mixup functions for sample pairs and their labels. Mixup is a data augmentation method to create new training data by linearly…

Machine Learning · Computer Science 2022-10-31 Madeline Navarro , Santiago Segarra