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In real-world applications of multi-class classification models, misclassification in an important class (e.g., stop sign) can be significantly more harmful than in other classes (e.g., speed limit). In this paper, we propose a loss…

Machine Learning · Computer Science 2024-06-03 Daiki Nishiyama , Kazuto Fukuchi , Youhei Akimoto , Jun Sakuma

Self-supervised learning enables networks to learn discriminative features from massive data itself. Most state-of-the-art methods maximize the similarity between two augmentations of one image based on contrastive learning. By utilizing…

Computer Vision and Pattern Recognition · Computer Science 2023-07-05 Jidong Ge , Yuxiang Liu , Jie Gui , Lanting Fang , Ming Lin , James Tin-Yau Kwok , LiGuo Huang , Bin Luo

The loss function used to train a neural network is strongly connected to its output layer from a statistical point of view. This technical report analyzes common activation functions for a neural network output layer, like linear, sigmoid,…

Machine Learning · Computer Science 2025-11-10 Fernando Berzal

We derive the fast convergence rates of a deep neural network (DNN) classifier with the rectified linear unit (ReLU) activation function learned using the hinge loss. We consider three cases for a true model: (1) a smooth decision boundary,…

Machine Learning · Statistics 2019-06-19 Yongdai Kim , Ilsang Ohn , Dongha Kim

Two things seem to be indisputable in the contemporary deep learning discourse: 1. The categorical cross-entropy loss after softmax activation is the method of choice for classification. 2. Training a CNN classifier from scratch on small…

Machine Learning · Computer Science 2019-12-12 Björn Barz , Joachim Denzler

Deep metric learning has yielded impressive results in tasks such as clustering and image retrieval by leveraging neural networks to obtain highly discriminative feature embeddings, which can be used to group samples into different classes.…

Computer Vision and Pattern Recognition · Computer Science 2022-04-05 Ismail Elezi , Jenny Seidenschwarz , Laurin Wagner , Sebastiano Vascon , Alessandro Torcinovich , Marcello Pelillo , Laura Leal-Taixe

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

The likelihood ratio is a crucial quantity for statistical inference in science that enables hypothesis testing, construction of confidence intervals, reweighting of distributions, and more. Many modern scientific applications, however,…

High Energy Physics - Phenomenology · Physics 2024-12-11 Shahzar Rizvi , Mariel Pettee , Benjamin Nachman

Deep Neural Networks, often owing to the overparameterization, are shown to be capable of exactly memorizing even randomly labelled data. Empirical studies have also shown that none of the standard regularization techniques mitigate such…

Machine Learning · Computer Science 2021-07-23 Deep Patel , P. S. Sastry

Cross-entropy loss is a common choice when it comes to multiclass classification tasks and language modeling in particular. Minimizing this loss results in language models of very good quality. We show that it is possible to fine-tune these…

Computation and Language · Computer Science 2019-01-16 Vadim Popov , Mikhail Kudinov

Miscalibration - a mismatch between a model's confidence and its correctness - of Deep Neural Networks (DNNs) makes their predictions hard to rely on. Ideally, we want networks to be accurate, calibrated and confident. We show that, as…

Machine Learning · Computer Science 2020-10-27 Jishnu Mukhoti , Viveka Kulharia , Amartya Sanyal , Stuart Golodetz , Philip H. S. Torr , Puneet K. Dokania

We propose a transfer learning-based solution for the problem of multiple class novelty detection. In particular, we propose an end-to-end deep-learning based approach in which we investigate how the knowledge contained in an external,…

Computer Vision and Pattern Recognition · Computer Science 2019-03-07 Pramuditha Perera , Vishal M. Patel

We explore loss functions for fact verification in the FEVER shared task. While the cross-entropy loss is a standard objective for training verdict predictors, it fails to capture the heterogeneity among the FEVER verdict classes. In this…

Computation and Language · Computer Science 2024-03-14 Yuta Mukobara , Yutaro Shigeto , Masashi Shimbo

Deep-learning has proved in recent years to be a powerful tool for image analysis and is now widely used to segment both 2D and 3D medical images. Deep-learning segmentation frameworks rely not only on the choice of network architecture but…

Computer Vision and Pattern Recognition · Computer Science 2017-09-19 Carole H Sudre , Wenqi Li , Tom Vercauteren , Sébastien Ourselin , M. Jorge Cardoso

Metalearning of deep neural network (DNN) architectures and hyperparameters has become an increasingly important area of research. Loss functions are a type of metaknowledge that is crucial to effective training of DNNs, however, their…

Machine Learning · Computer Science 2020-10-05 Santiago Gonzalez , Risto Miikkulainen

This paper illustrates the central role of loss functions in data-driven decision making, providing a comprehensive survey on their influence in cost-sensitive classification (CSC) and reinforcement learning (RL). We demonstrate how…

Machine Learning · Statistics 2025-04-07 Kaiwen Wang , Nathan Kallus , Wen Sun

Minimizing cross-entropy is a widely used method for training artificial neural networks. Many training procedures based on backpropagation use cross-entropy directly as their loss function. Instead, this theoretical essay investigates a…

Machine Learning · Computer Science 2021-04-28 Stefan Jaeger

In recent years, a deep learning framework has been widely used for object pose estimation. While quaternion is a common choice for rotation representation, it cannot represent the ambiguity of the observation. In order to handle the…

Computer Vision and Pattern Recognition · Computer Science 2024-10-28 Hiroya Sato , Takuya Ikeda , Koichi Nishiwaki

Nearly all practical neural models for classification are trained using cross-entropy loss. Yet this ubiquitous choice is supported by little theoretical or empirical evidence. Recent work (Hui & Belkin, 2020) suggests that training using…

Machine Learning · Computer Science 2023-02-09 Like Hui , Mikhail Belkin , Stephen Wright

Deep neural networks (DNNs) are a contemporary solution for semantic segmentation and are usually trained to operate on a predefined closed set of classes. In open-set environments, it is possible to encounter semantically unknown objects…

Computer Vision and Pattern Recognition · Computer Science 2024-12-17 Jurica Runtas , Tomislav Petkovic
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