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Model collapse occurs when generative models degrade after repeatedly training on their own synthetic outputs. We study this effect in overparameterized linear regression in a setting where each iteration mixes fresh real labels with…

Machine Learning · Statistics 2026-02-13 Anvit Garg , Sohom Bhattacharya , Pragya Sur

As foundational models reshape scientific discovery, a bottleneck persists in dynamical system reconstruction (DSR): the ability to learn across system hierarchies. Many meta-learning approaches have been applied successfully to single…

Machine Learning · Computer Science 2025-06-12 Roussel Desmond Nzoyem , Grant Stevens , Amarpal Sahota , David A. W. Barton , Tom Deakin

Last-layer retraining (LLR) methods -- wherein the last layer of a neural network is reinitialized and retrained on a held-out set following ERM training -- have garnered interest as an efficient approach to rectify dependence on spurious…

Machine Learning · Computer Science 2026-05-15 John C. Hill , Tyler LaBonte , Xinchen Zhang , Vidya Muthukumar

The Mixture of Experts architecture allows for outrageously large neural networks by scaling model parameter size independently from computational demand (FLOPs). However, current DNN frameworks cannot effectively support the dynamic data…

Machine Learning · Computer Science 2022-08-03 Ferdinand Kossmann , Zhihao Jia , Alex Aiken

Mixup is a well-established data augmentation technique, which can extend the training distribution and regularize the neural networks by creating ''mixed'' samples based on the label-equivariance assumption, i.e., a proportional mixup of…

Computer Vision and Pattern Recognition · Computer Science 2023-08-15 Zongbo Han , Tianchi Xie , Bingzhe Wu , Qinghua Hu , Changqing Zhang

Mixed Sample Data Augmentation (MSDA) has received increasing attention in recent years, with many successful variants such as MixUp and CutMix. By studying the mutual information between the function learned by a VAE on the original data…

Machine Learning · Computer Science 2021-03-02 Ethan Harris , Antonia Marcu , Matthew Painter , Mahesan Niranjan , Adam Prügel-Bennett , Jonathon Hare

Alignment, the tendency of adjacent weight matrices in deep networks to develop compatible subspace orientations, underlies gradient flow, Neural Collapse, and representation similarity across architectures. Despite extensive empirical…

Machine Learning · Computer Science 2026-05-12 Jingchuan Xiao , Xinyi Sui , Cihan Ruan

This paper investigates the relationship between the universal approximation property of deep neural networks and topological characteristics of datasets. Our primary contribution is to introduce data topology-dependent upper bounds on the…

Machine Learning · Computer Science 2023-05-29 Sangmin Lee , Jong Chul Ye

In this paper, we introduce matrix entropy as an analytical tool for studying supervised learning, investigating the information content of data representations and classification head vectors, as well as the dynamic interactions between…

Machine Learning · Computer Science 2025-03-03 Kun Song , Zhiquan Tan , Bochao Zou , Jiansheng Chen , Huimin Ma , Weiran Huang

Error backpropagation is a highly effective mechanism for learning high-quality hierarchical features in deep networks. Updating the features or weights in one layer, however, requires waiting for the propagation of error signals from…

Neural and Evolutionary Computing · Computer Science 2017-11-21 Hesham Mostafa , Vishwajith Ramesh , Gert Cauwenberghs

Mixup is a popular data augmentation method, with many variants subsequently proposed. These methods mainly create new examples via convex combination of random data pairs and their corresponding one-hot labels. However, most of them adhere…

Computer Vision and Pattern Recognition · Computer Science 2021-10-12 Shaoyu Zhang , Chen Chen , Xiujuan Zhang , Silong Peng

The success of deep neural networks in image classification and learning can be partly attributed to the features they extract from images. It is often speculated about the properties of a low-dimensional manifold that models extract and…

Computer Vision and Pattern Recognition · Computer Science 2022-05-04 Roozbeh Yousefzadeh

The start of deep neural network training is characterized by a brief yet critical phase that lasts from the beginning of the training until the accuracy reaches approximately 50\%. During this phase, disordered representations rapidly…

Machine Learning · Computer Science 2025-10-30 Tiantian Liu , Meng Wan , Jue Wang , Ningming Nie

Data mixing augmentation has been widely applied to improve the generalization ability of deep neural networks. Recently, offline data mixing augmentation, e.g. handcrafted and saliency information-based mixup, has been gradually replaced…

Computer Vision and Pattern Recognition · Computer Science 2024-03-05 Huafeng Qin , Xin Jin , Yun Jiang , Mounim A. El-Yacoubi , Xinbo Gao

Advanced deep neural networks (DNNs), designed by either human or AutoML algorithms, are growing increasingly complex. Diverse operations are connected by complicated connectivity patterns, e.g., various types of skip connections. Those…

Machine Learning · Computer Science 2022-10-13 Wuyang Chen , Wei Huang , Xinyu Gong , Boris Hanin , Zhangyang Wang

Neural networks trained with ERM (empirical risk minimization) sometimes learn unintended decision rules, in particular when their training data is biased, i.e., when training labels are strongly correlated with undesirable features. To…

Computer Vision and Pattern Recognition · Computer Science 2022-11-07 Inwoo Hwang , Sangjun Lee , Yunhyeok Kwak , Seong Joon Oh , Damien Teney , Jin-Hwa Kim , Byoung-Tak Zhang

The integration of optimization problems within neural network architectures represents a fundamental shift from traditional approaches to handling constraints in deep learning. While it is long known that neural networks can incorporate…

Machine Learning · Computer Science 2024-12-31 Calder Katyal

Data mixing (e.g., Mixup, Cutmix, ResizeMix) is an essential component for advancing recognition models. In this paper, we focus on studying its effectiveness in the self-supervised setting. By noticing the mixed images that share the same…

Computer Vision and Pattern Recognition · Computer Science 2022-06-16 Sucheng Ren , Huiyu Wang , Zhengqi Gao , Shengfeng He , Alan Yuille , Yuyin Zhou , Cihang Xie

Despite their success in massive engineering applications, deep neural networks are vulnerable to various perturbations due to their black-box nature. Recent study has shown that a deep neural network can misclassify the data even if the…

Machine Learning · Computer Science 2021-04-29 Zhuotong Chen , Qianxiao Li , Zheng Zhang

This paper proposes a novel formulation of prototypical loss with mixup for speaker verification. Mixup is a simple yet efficient data augmentation technique that fabricates a weighted combination of random data point and label pairs for…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-13 Xin Zhang , Minho Jin , Roger Cheng , Ruirui Li , Eunjung Han , Andreas Stolcke
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