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In neural networks, the loss function represents the core of the learning process that leads the optimizer to an approximation of the optimal convergence error. Convolutional neural networks (CNN) use the loss function as a supervisory…

Computer Vision and Pattern Recognition · Computer Science 2020-09-30 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

Deep classifiers have achieved great success in visual recognition. However, real-world data is long-tailed by nature, leading to the mismatch between training and testing distributions. In this paper, we show that the Softmax function,…

Machine Learning · Computer Science 2020-11-24 Jiawei Ren , Cunjun Yu , Shunan Sheng , Xiao Ma , Haiyu Zhao , Shuai Yi , Hongsheng Li

Integrating supervised contrastive loss to cross entropy-based communication has recently been proposed as a solution to address the long-tail learning problem. However, when the class imbalance ratio is high, it requires adjusting the…

Machine Learning · Computer Science 2024-07-10 Charika De Alvis , Dishanika Denipitiyage , Suranga Seneviratne

Cross-entropy is a widely used loss function in applications. It coincides with the logistic loss applied to the outputs of a neural network, when the softmax is used. But, what guarantees can we rely on when using cross-entropy as a…

Machine Learning · Computer Science 2023-06-21 Anqi Mao , Mehryar Mohri , Yutao Zhong

Previous work shows that adversarially robust generalization requires larger sample complexity, and the same dataset, e.g., CIFAR-10, which enables good standard accuracy may not suffice to train robust models. Since collecting new training…

Machine Learning · Computer Science 2020-02-21 Tianyu Pang , Kun Xu , Yinpeng Dong , Chao Du , Ning Chen , Jun Zhu

Deep learning has been shown to achieve impressive results in several domains like computer vision and natural language processing. A key element of this success has been the development of new loss functions, like the popular cross-entropy…

Machine Learning · Computer Science 2019-07-19 Francesco Giannini , Giuseppe Marra , Michelangelo Diligenti , Marco Maggini , Marco Gori

Face recognition has been an active and vital topic among computer vision community for a long time. Previous researches mainly focus on loss functions used for facial feature extraction network, among which the improvements of…

Computer Vision and Pattern Recognition · Computer Science 2021-01-26 Xiang An , Xuhan Zhu , Yang Xiao , Lan Wu , Ming Zhang , Yuan Gao , Bin Qin , Debing Zhang , Ying Fu

We propose a large-margin Gaussian Mixture (L-GM) loss for deep neural networks in classification tasks. Different from the softmax cross-entropy loss, our proposal is established on the assumption that the deep features of the training set…

Computer Vision and Pattern Recognition · Computer Science 2018-03-09 Weitao Wan , Yuanyi Zhong , Tianpeng Li , Jiansheng Chen

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

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

Convolutional Neural Networks (CNNs) have been widely used in computer vision tasks, such as face recognition and verification, and have achieved state-of-the-art results due to their ability to capture discriminative deep features.…

Computer Vision and Pattern Recognition · Computer Science 2018-07-31 Alessandro Calefati , Muhammad Kamran Janjua , Shah Nawaz , Ignazio Gallo

Deep neural networks have achieved remarkable performance on a range of classification tasks, with softmax cross-entropy (CE) loss emerging as the de-facto objective function. The CE loss encourages features of a class to have a higher…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Kanchana Ranasinghe , Muzammal Naseer , Munawar Hayat , Salman Khan , Fahad Shahbaz Khan

The key factor in implementing machine learning algorithms in decision-making situations is not only the accuracy of the model but also its confidence level. The confidence level of a model in a classification problem is often given by the…

Machine Learning · Statistics 2024-05-02 Masanari Kimura , Hiroki Naganuma

Automatic segmentation methods are an important advancement in medical image analysis. Machine learning techniques, and deep neural networks in particular, are the state-of-the-art for most medical image segmentation tasks. Issues with…

Image and Video Processing · Electrical Eng. & Systems 2021-11-25 Michael Yeung , Evis Sala , Carola-Bibiane Schönlieb , Leonardo Rundo

This paper describes the principle of "General Cyclical Training" in machine learning, where training starts and ends with "easy training" and the "hard training" happens during the middle epochs. We propose several manifestations for…

Machine Learning · Computer Science 2025-01-17 Leslie N. Smith

Softmax function is widely used in artificial neural networks for multiclass classification, multilabel classification, attention mechanisms, etc. However, its efficacy is often questioned in literature. The log-softmax loss has been shown…

Machine Learning · Computer Science 2020-11-24 Kunal Banerjee , Vishak Prasad C , Rishi Raj Gupta , Karthik Vyas , Anushree H , Biswajit Mishra

This paper investigates the deep learning optimization problem with softmax cross-entropy loss. We propose a layer separation strategy to alleviate the strong nonconvexity encountered during training deep networks. For cross-entropy models…

Machine Learning · Computer Science 2026-04-28 Yaru Liu , Michael K. Ng , Yiqi Gu

In deep neural network, the cross-entropy loss function is commonly used for classification. Minimizing cross-entropy is equivalent to maximizing likelihood under assumptions of uniform feature and class distributions. It belongs to…

Machine Learning · Computer Science 2018-05-01 Donglai Zhu , Hengshuai Yao , Bei Jiang , Peng Yu

A deep convolutional neural network (CNN) has been widely used in image classification and gives better classification accuracy than the other techniques. The softmax cross-entropy loss function is often used for classification tasks. There…

Computer Vision and Pattern Recognition · Computer Science 2020-04-20 Motoshi Abe , Junichi Miyao , Takio Kurita

State-of-the-art neural networks are vulnerable to adversarial examples; they can easily misclassify inputs that are imperceptibly different than their training and test data. In this work, we establish that the use of cross-entropy loss…

Machine Learning · Computer Science 2019-01-25 Kamil Nar , Orhan Ocal , S. Shankar Sastry , Kannan Ramchandran