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Neural Collapse (NC) is a well-known phenomenon of deep neural networks in the terminal phase of training (TPT). It is characterized by the collapse of features and classifier into a symmetrical structure, known as simplex equiangular tight…

Machine Learning · Computer Science 2023-10-13 Peifeng Gao , Qianqian Xu , Yibo Yang , Peisong Wen , Huiyang Shao , Zhiyong Yang , Bernard Ghanem , Qingming Huang

This paper introduces a general multi-class approach to weakly supervised classification. Inferring the labels and learning the parameters of the model is usually done jointly through a block-coordinate descent algorithm such as…

Machine Learning · Computer Science 2012-07-03 Armand Joulin , Francis Bach

Convolutional Neural Networks (CNNs) trained with the Softmax loss are widely used classification models for several vision tasks. Typically, a learnable transformation (i.e. the classifier) is placed at the end of such models returning…

Computer Vision and Pattern Recognition · Computer Science 2023-01-18 Federico Pernici , Matteo Bruni , Claudio Baecchi , Alberto Del Bimbo

We consider neural networks with a single hidden layer and non-decreasing homogeneous activa-tion functions like the rectified linear units. By letting the number of hidden units grow unbounded and using classical non-Euclidean…

Machine Learning · Computer Science 2016-11-01 Francis Bach

Neural network classifiers trained with cross-entropy loss achieve strong predictive accuracy but lack the capability to provide inherent predictive uncertainty estimates, thus requiring external techniques to obtain these estimates. In…

Machine Learning · Statistics 2026-04-08 Courtney Franzen , Farhad Pourkamali-Anaraki

A novel technique for deep learning of image classifiers is presented. The learned CNN models offer better separation of deep features (also known as embedded vectors) measured by Euclidean proximity and also no deterioration of the…

Computer Vision and Pattern Recognition · Computer Science 2019-04-23 Rafal Pilarczyk , Wladyslaw Skarbek

Generalizing local navigation policies across diverse robot morphologies is a critical challenge. Progress is often hindered by the need for costly and embodiment-specific data, the tight coupling of planning and control, and the…

Robotics · Computer Science 2025-10-24 Kai Yang , Tianlin Zhang , Zhengbo Wang , Zedong Chu , Xiaolong Wu , Yang Cai , Mu Xu

Riding on the waves of deep neural networks, deep metric learning has also achieved promising results in various tasks using triplet network or Siamese network. Though the basic goal of making images from the same category closer than the…

Computer Vision and Pattern Recognition · Computer Science 2017-08-02 Yuhui Yuan , Kuiyuan Yang , Chao Zhang

This paper presents a deep learning framework for image classification aimed at increasing predictive performance for Cytotoxic Edema (CE) diagnosis in infants and children. The proposed framework includes two 3D network architectures…

Image and Video Processing · Electrical Eng. & Systems 2022-10-11 Henok Ghebrechristos , Stence Nicholas , David Mirsky , Gita Alaghband , Manh Huynh , Zackary Kromer , Ligia Batista , Brent ONeill , Steven Moulton , Daniel M. Lindberg

Dynamical loss functions are derived from standard loss functions used in supervised classification tasks, but are modified so that the contribution from each class periodically increases and decreases. These oscillations globally alter the…

Machine Learning · Computer Science 2025-11-06 Eduardo Lavin Pallero , Miguel Ruiz-Garcia

Recently, deep learning has been widely used in the field of vehicle re-identification. When training a deep model, softmax loss is usually used as a supervision tool. However, the softmax loss performs well for closed-set tasks, but not…

Computer Vision and Pattern Recognition · Computer Science 2020-12-24 Zhijun Hu , Yong Xu , Jie Wen , Lilei Sun , Raja S P

Recent findings reveal that over-parameterized deep neural networks, trained beyond zero training-error, exhibit a distinctive structural pattern at the final layer, termed as Neural-collapse (NC). These results indicate that the final…

Machine Learning · Computer Science 2024-03-01 Tina Behnia , Christos Thrampoulidis

The reconstruction and prediction of full-state flows from sparse data are of great scientific and engineering significance yet remain challenging, especially in applications where data are sparse and/or subjected to noise. To this end,…

Fluid Dynamics · Physics 2023-12-08 Jiaxin Wu , Dunhui Xiao , Min Luo

There is no such thing as a perfect dataset. In some datasets, deep neural networks discover underlying heuristics that allow them to take shortcuts in the learning process, resulting in poor generalization capability. Instead of using…

Computation and Language · Computer Science 2022-11-28 Frano Rajič , Ivan Stresec , Axel Marmet , Tim Poštuvan

A vast majority of machine learning algorithms train their models and perform inference by solving optimization problems. In order to capture the learning and prediction problems accurately, structural constraints such as sparsity or low…

Machine Learning · Statistics 2017-12-22 Prateek Jain , Purushottam Kar

Common explanations for shortcut learning assume that the shortcut improves prediction under the training distribution but not in the test distribution. Thus, models trained via the typical gradient-based optimization of cross-entropy,…

Machine Learning · Computer Science 2023-08-25 Aahlad Puli , Lily Zhang , Yoav Wald , Rajesh Ranganath

The convergence of GD and SGD when training mildly parameterized neural networks starting from random initialization is studied. For a broad range of models and loss functions, including the most commonly used square loss and cross entropy…

Machine Learning · Computer Science 2023-05-30 Mingze Wang , Chao Ma

Adversarial training is extensively utilized to improve the adversarial robustness of deep neural networks. Yet, mitigating the degradation of standard generalization performance in adversarial-trained models remains an open problem. This…

Machine Learning · Computer Science 2024-03-27 Xiangyu Yin , Wenjie Ruan

In this work, we study the evolution of the loss Hessian across many classification tasks in order to understand the effect the curvature of the loss has on the training dynamics. Whereas prior work has focused on how different learning…

While much work has been devoted to understanding the implicit (and explicit) regularization of deep nonlinear networks in the supervised setting, this paper focuses on unsupervised learning, i.e., autoencoders are trained with the…

Machine Learning · Computer Science 2021-10-25 Harald Steck , Dario Garcia Garcia