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Convolution Neural Networks (CNN) have performed well in many applications such as object detection, pattern recognition, video surveillance and so on. CNN carryout feature extraction on labelled data to perform classification. Multi-label…

Machine Learning · Computer Science 2021-01-28 Tolulope A. Odetola , Ogheneuriri Oderhohwo , Syed Rafay Hasan

Multi-label (ML) classification is an actively researched topic currently, which deals with convoluted and overlapping boundaries that arise due to several labels being active for a particular data instance. We propose a classifier capable…

Machine Learning · Computer Science 2021-07-22 Anwesha Law , Ashish Ghosh

Multi-label classification (MLC) is an important class of machine learning problems that come with a wide spectrum of applications, each demanding a possibly different evaluation criterion. When solving the MLC problems, we generally expect…

Machine Learning · Computer Science 2019-10-08 Yao-Yuan Yang , Yi-An Lin , Hong-Min Chu , Hsuan-Tien Lin

The recently discovered Neural collapse (NC) phenomenon states that the last-layer weights of Deep Neural Networks (DNN), converge to the so-called Equiangular Tight Frame (ETF) simplex, at the terminal phase of their training. This ETF…

Machine Learning · Computer Science 2024-03-01 Hafiz Tiomoko Ali , Umberto Michieli , Ji Joong Moon , Daehyun Kim , Mete Ozay

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

Neural networks have recently been proposed for multi-label classification because they are able to capture and model label dependencies in the output layer. In this work, we investigate limitations of BP-MLL, a neural network (NN)…

Machine Learning · Computer Science 2020-12-09 Jinseok Nam , Jungi Kim , Eneldo Loza Mencía , Iryna Gurevych , Johannes Fürnkranz

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

The recent work of Papyan, Han, & Donoho (2020) presented an intriguing "Neural Collapse" phenomenon, showing a structural property of interpolating classifiers in the late stage of training. This opened a rich area of exploration studying…

Machine Learning · Computer Science 2022-02-18 Like Hui , Mikhail Belkin , Preetum Nakkiran

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

While deep convolutional neural networks (CNNs) have shown a great success in single-label image classification, it is important to note that real world images generally contain multiple labels, which could correspond to different objects,…

Computer Vision and Pattern Recognition · Computer Science 2016-04-18 Jiang Wang , Yi Yang , Junhua Mao , Zhiheng Huang , Chang Huang , Wei Xu

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

Neural collapse is a phenomenon observed during the terminal phase of neural network training, characterized by the convergence of network activations, class means, and linear classifier weights to a simplex equiangular tight frame (ETF), a…

Machine Learning · Computer Science 2024-12-03 Emily Liu

Deep neural networks (DNNs) are typically evaluated under the assumption that each image has a single correct label. However, many images in benchmarks like ImageNet contain multiple valid labels, creating a mismatch between evaluation…

Computer Vision and Pattern Recognition · Computer Science 2025-05-29 Esla Timothy Anzaku , Seyed Amir Mousavi , Arnout Van Messem , Wesley De Neve

Multi-label classification (MLC) studies the problem where each instance is associated with multiple relevant labels, which leads to the exponential growth of output space. MLC encourages a popular framework named label compression (LC) for…

Machine Learning · Computer Science 2020-09-21 Jiaqi Lv , Tianran Wu , Chenglun Peng , Yunpeng Liu , Ning Xu , Xin Geng

Mixup is a data augmentation strategy that employs convex combinations of training instances and their respective labels to augment the robustness and calibration of deep neural networks. Despite its widespread adoption, the nuanced…

Machine Learning · Computer Science 2024-02-12 Quinn Fisher , Haoming Meng , Vardan Papyan

Deep Convolutional Neural Networks (CNN) enforces supervised information only at the output layer, and hidden layers are trained by back propagating the prediction error from the output layer without explicit supervision. We propose a…

Computer Vision and Pattern Recognition · Computer Science 2016-06-07 Zhuolin Jiang , Yaming Wang , Larry Davis , Walt Andrews , Viktor Rozgic

A recent study has shown a phenomenon called neural collapse in that the within-class means of features and the classifier weight vectors converge to the vertices of a simplex equiangular tight frame at the terminal phase of training for…

Computer Vision and Pattern Recognition · Computer Science 2023-01-04 Zhisheng Zhong , Jiequan Cui , Yibo Yang , Xiaoyang Wu , Xiaojuan Qi , Xiangyu Zhang , Jiaya Jia

Recent studies have noted an intriguing phenomenon termed Neural Collapse, that is, when the neural networks establish the right correlation between feature spaces and the training targets, their last-layer features, together with the…

Computer Vision and Pattern Recognition · Computer Science 2025-09-22 Yining Wang , Junjie Sun , Chenyue Wang , Mi Zhang , Min Yang

The extreme multi-label classification~(XMC) task involves learning a classifier that can predict from a large label set the most relevant subset of labels for a data instance. While deep neural networks~(DNNs) have demonstrated remarkable…

Machine Learning · Computer Science 2024-07-09 Ken Nishida , Kojiro Machi , Kazuma Onishi , Katsuhiko Hayashi , Hidetaka Kamigaito

Neural collapse (NC) -- the convergence of penultimate-layer features to a simplex equiangular tight frame -- is well understood at equilibrium, but the dynamics governing its onset remain poorly characterised. We identify a simple and…

Machine Learning · Computer Science 2026-04-02 Anamika Paul Rupa