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We study deep neural networks for the multi-label classification (MLab) task through the lens of neural collapse (NC). Previous works have been restricted to the multi-class classification setting and discovered a prevalent NC phenomenon…

Machine Learning · Computer Science 2024-06-21 Pengyu Li , Xiao Li , Yutong Wang , Qing Qu

Neural Collapse refers to the remarkable structural properties characterizing the geometry of class embeddings and classifier weights, found by deep nets when trained beyond zero training error. However, this characterization only holds for…

Machine Learning · Computer Science 2022-08-12 Christos Thrampoulidis , Ganesh R. Kini , Vala Vakilian , Tina Behnia

Multi-label classification is a widely encountered problem in daily life, where an instance can be associated with multiple classes. In theory, this is a supervised learning method that requires a large amount of labeling. However,…

Computer Vision and Pattern Recognition · Computer Science 2023-08-02 XIn Zhang , Yuqi Song , Fei Zuo , Xiaofeng Wang

Transductive graph-based semi-supervised learning methods usually build an undirected graph utilizing both labeled and unlabeled samples as vertices. Those methods propagate label information of labeled samples to neighbors through their…

Machine Learning · Computer Science 2013-12-25 Fengqi Li , Chuang Yu , Nanhai Yang , Feng Xia , Guangming Li , Fatemeh Kaveh-Yazdy

The class imbalance problem, as an important issue in learning node representations, has drawn increasing attention from the community. Although the imbalance considered by existing studies roots from the unequal quantity of labeled…

Machine Learning · Computer Science 2021-10-11 Deli Chen , Yankai Lin , Guangxiang Zhao , Xuancheng Ren , Peng Li , Jie Zhou , Xu Sun

Recent years have witnessed the huge success of deep neural networks (DNNs) in various tasks of computer vision and text processing. Interestingly, these DNNs with massive number of parameters share similar structural properties on their…

Machine Learning · Statistics 2023-10-26 Wanli Hong , Shuyang Ling

Although deep neural networks achieve tremendous success on various classification tasks, the generalization ability drops sheer when training datasets exhibit long-tailed distributions. One of the reasons is that the learned…

Machine Learning · Computer Science 2023-02-27 Xuantong Liu , Jianfeng Zhang , Tianyang Hu , He Cao , Lujia Pan , Yuan Yao

Label smoothing loss is a widely adopted technique to mitigate overfitting in deep neural networks. This paper studies label smoothing from the perspective of Neural Collapse (NC), a powerful empirical and theoretical framework which…

Machine Learning · Computer Science 2025-09-30 Li Guo , George Andriopoulos , Zifan Zhao , Shuyang Ling , Zixuan Dong , Keith Ross

In multi-label classification, an instance may be associated with a set of labels simultaneously. Recently, the research on multi-label classification has largely shifted its focus to the other end of the spectrum where the number of labels…

Machine Learning · Computer Science 2016-04-06 Li Li , Houfeng Wang

Federated Learning (FL) enables collaborative model training across distributed clients while preserving data privacy, but remains challenging when client data are highly heterogeneous. These challenges are further amplified in multi-label…

Computer Vision and Pattern Recognition · Computer Science 2026-03-24 Can Peng , Yuyuan Liu , Yingyu Yang , Pramit Saha , Qianye Yang , J. Alison Noble

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

Many real-world applications of image recognition require multi-label learning, whose goal is to find all labels in an image. Thus, robustness of such systems to adversarial image perturbations is extremely important. However, despite a…

Computer Vision and Pattern Recognition · Computer Science 2022-07-13 Hassan Mahmood , Ehsan Elhamifar

Recent work has observed an intriguing ''Neural Collapse'' phenomenon in well-trained neural networks, where the last-layer representations of training samples with the same label collapse into each other. This appears to suggest that the…

Machine Learning · Computer Science 2023-06-30 Yongyi Yang , Jacob Steinhardt , Wei Hu

In this paper, we provide a computable characterization of the geometry of optimal representations in Contrastive Learning (CL) when the classes are imbalanced. When classes are balanced and the representation dimension is greater than the…

Machine Learning · Computer Science 2026-05-13 Thuan Nguyen , Shuchin Aeron , D. Richard Brown , Prakash Ishwar

The notion of neural collapse refers to several emergent phenomena that have been empirically observed across various canonical classification problems. During the terminal phase of training a deep neural network, the feature embedding of…

Machine Learning · Computer Science 2023-04-05 Duc Anh Nguyen , Ron Levie , Julian Lienen , Gitta Kutyniok , Eyke Hüllermeier

Multi-label text classification is a challenging task because it requires capturing label dependencies. It becomes even more challenging when class distribution is long-tailed. Resampling and re-weighting are common approaches used for…

Computation and Language · Computer Science 2021-10-19 Yi Huang , Buse Giledereli , Abdullatif Köksal , Arzucan Özgür , Elif Ozkirimli

Topology-imbalance is a graph-specific imbalance problem caused by the uneven topology positions of labeled nodes, which significantly damages the performance of GNNs. What topology-imbalance means and how to measure its impact on graph…

Machine Learning · Computer Science 2022-08-18 Qingyun Sun , Jianxin Li , Haonan Yuan , Xingcheng Fu , Hao Peng , Cheng Ji , Qian Li , Philip S. Yu

Neural collapse, a newly identified characteristic, describes a property of solutions during model training. In this paper, we explore neural collapse in the context of imbalanced data. We consider the $L$-extended unconstrained feature…

Machine Learning · Computer Science 2024-11-27 Haixia Liu

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 (NC) presents an elegant geometric structure that enables individual activations (features), class means and classifier (weights) vectors to reach \textit{optimal} inter-class separability during the terminal phase of…

Machine Learning · Computer Science 2024-08-15 Enhao Zhang , Chaohua Li , Chuanxing Geng , Songcan Chen
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