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The logistic loss (a.k.a. cross-entropy loss) is one of the most popular loss functions used for multiclass classification. It is also the loss function of choice for next-token prediction in language modeling. It is associated with the…

Machine Learning · Computer Science 2025-06-16 Vincent Roulet , Tianlin Liu , Nino Vieillard , Michael E. Sander , Mathieu Blondel

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

Designing objective functions robust to label noise is crucial for real-world classification algorithms. In this paper, we investigate the robustness to label noise of an $f$-divergence-based class of objective functions recently proposed…

Machine Learning · Computer Science 2025-04-10 Nicola Novello , Andrea M. Tonello

The top-k error is a common measure of performance in machine learning and computer vision. In practice, top-k classification is typically performed with deep neural networks trained with the cross-entropy loss. Theoretical results indeed…

Machine Learning · Computer Science 2018-02-22 Leonard Berrada , Andrew Zisserman , M. Pawan Kumar

Cross-entropy loss and focal loss are the most common choices when training deep neural networks for classification problems. Generally speaking, however, a good loss function can take on much more flexible forms, and should be tailored for…

Computer Vision and Pattern Recognition · Computer Science 2022-05-12 Zhaoqi Leng , Mingxing Tan , Chenxi Liu , Ekin Dogus Cubuk , Xiaojie Shi , Shuyang Cheng , Dragomir Anguelov

Deep Learning has become interestingly popular in computer vision, mostly attaining near or above human-level performance in various vision tasks. But recent work has also demonstrated that these deep neural networks are very vulnerable to…

Machine Learning · Computer Science 2020-12-09 Shashi Kant Gupta

Objective functions that optimize deep neural networks play a vital role in creating an enhanced feature representation of the input data. Although cross-entropy-based loss formulations have been extensively used in a variety of supervised…

Computer Vision and Pattern Recognition · Computer Science 2023-12-19 Deen Dayal Mohan , Bhavin Jawade , Srirangaraj Setlur , Venu Govindaraj

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

Cross entropy loss has served as the main objective function for classification-based tasks. Widely deployed for learning neural network classifiers, it shows both effectiveness and a probabilistic interpretation. Recently, after the…

Computer Vision and Pattern Recognition · Computer Science 2022-11-08 Rahaf Aljundi , Yash Patel , Milan Sulc , Daniel Olmeda , Nikolay Chumerin

In this paper, we propose a Dual Focal Loss (DFL) function, as a replacement for the standard cross entropy (CE) function to achieve a better treatment of the unbalanced classes in a dataset. Our DFL method is an improvement on the recently…

Computer Vision and Pattern Recognition · Computer Science 2020-11-30 Md Sazzad Hossain , Andrew P Paplinski , John M Betts

In this paper, we propose a fuzzy adaptive loss function for enhancing deep learning performance in classification tasks. Specifically, we redefine the cross-entropy loss to effectively address class-level noise conditions, including the…

Machine Learning · Computer Science 2023-10-13 Sebastián Maldonado , Carla Vairetti , Katherine Jara , Miguel Carrasco , Julio López

In computer vision, it is often observed that formulating regression problems as a classification task often yields better performance. We investigate this curious phenomenon and provide a derivation to show that classification, with the…

Computer Vision and Pattern Recognition · Computer Science 2023-03-01 Shihao Zhang , Linlin Yang , Michael Bi Mi , Xiaoxu Zheng , Angela Yao

In deep Reinforcement Learning (RL), value functions are typically approximated using deep neural networks and trained via mean squared error regression objectives to fit the true value functions. Recent research has proposed an alternative…

Machine Learning · Computer Science 2024-11-19 Denis Tarasov , Kirill Brilliantov , Dmitrii Kharlapenko

Deep learning has become the method of choice in many application domains of machine learning in recent years, especially for multi-class classification tasks. The most common loss function used in this context is the cross-entropy loss,…

Machine Learning · Computer Science 2017-04-21 Yehezkel S. Resheff , Amit Mandelbaum , Daphna Weinshall

We provide a unifying view of statistical information measures, multi-way Bayesian hypothesis testing, loss functions for multi-class classification problems, and multi-distribution $f$-divergences, elaborating equivalence results between…

Statistics Theory · Mathematics 2017-09-12 John C. Duchi , Khashayar Khosravi , Feng Ruan

Neural-symbolic approaches have recently gained popularity to inject prior knowledge into a learner without requiring it to induce this knowledge from data. These approaches can potentially learn competitive solutions with a significant…

Artificial Intelligence · Computer Science 2023-02-16 Giuseppe Marra , Francesco Giannini , Michelangelo Diligenti , Marco Maggini , Marco Gori

A promising direction in deep learning research consists in learning representations and simultaneously discovering cluster structure in unlabeled data by optimizing a discriminative loss function. As opposed to supervised deep learning,…

Multi-view learning accomplishes the task objectives of classification by leverag-ing the relationships between different views of the same object. Most existing methods usually focus on consistency and complementarity between multiple…

Machine Learning · Computer Science 2022-01-14 Jian-wei Liu , Yuan-fang Wang , Run-kun Lu , Xionglin Luo

Deep-embedding methods aim to discover representations of a domain that make explicit the domain's class structure and thereby support few-shot learning. Disentangling methods aim to make explicit compositional or factorial structure. We…

Machine Learning · Computer Science 2018-05-22 Karl Ridgeway , Michael C. Mozer

This paper introduces a novel perspective about error in machine learning and proposes inverse feature learning (IFL) as a representation learning approach that learns a set of high-level features based on the representation of error for…

Machine Learning · Computer Science 2020-03-10 Behzad Ghazanfari , Fatemeh Afghah
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