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Deep convolutional neural networks (CNNs) trained with logistic and softmax losses have made significant advancement in visual recognition tasks in computer vision. When training data exhibit class imbalances, the class-wise reweighted…

Machine Learning · Computer Science 2020-03-06 Xiangrui Li , Xin Li , Deng Pan , Dongxiao Zhu

We develop new approaches in multi-class settings for constructing proper scoring rules and hinge-like losses and establishing corresponding regret bounds with respect to the zero-one or cost-weighted classification loss. Our construction…

Statistics Theory · Mathematics 2021-05-18 Zhiqiang Tan , Xinwei Zhang

We empirically investigate the (negative) expected accuracy as an alternative loss function to cross entropy (negative log likelihood) for classification tasks. Coupled with softmax activation, it has small derivatives over most of its…

Machine Learning · Computer Science 2019-05-03 Ozan İrsoy

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

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

In sequence prediction tasks like neural machine translation, training with cross-entropy loss often leads to models that overgeneralize and plunge into local optima. In this paper, we propose an extended loss function called \emph{dual…

Computation and Language · Computer Science 2021-04-20 Zuchao Li , Hai Zhao , Yingting Wu , Fengshun Xiao , Shu Jiang

Nowadays, deep learning is the standard approach for a wide range of problems, including biometrics, such as face recognition and speech recognition, etc. Biometric problems often use deep learning models to extract features from images,…

Computer Vision and Pattern Recognition · Computer Science 2022-02-14 Pedro Silva , Gladston Moreira , Vander Freitas , Rodrigo Silva , David Menotti , Eduardo Luz

The loss function is arguably among the most important hyperparameters for a neural network. Many loss functions have been designed to date, making a correct choice nontrivial. However, elaborate justifications regarding the choice of the…

Machine Learning · Computer Science 2022-10-31 Simon Dräger , Jannik Dunkelau

Average-K classification is an alternative to top-K classification in which the number of labels returned varies with the ambiguity of the input image but must average to K over all the samples. A simple method to solve this task is to…

Machine Learning · Computer Science 2023-04-03 Camille Garcin , Maximilien Servajean , Alexis Joly , Joseph Salmon

Data processing inequalities for $f$-divergences can be sharpened using constants called "contraction coefficients" to produce strong data processing inequalities. For any discrete source-channel pair, the contraction coefficients for…

Information Theory · Computer Science 2018-07-17 Anuran Makur , Lizhong Zheng

We introduce a novel loss function for training deep learning architectures to perform classification. It consists in minimizing the smoothness of label signals on similarity graphs built at the output of the architecture. Equivalently, it…

Machine Learning · Computer Science 2019-05-02 Myriam Bontonou , Carlos Lassance , Ghouthi Boukli Hacene , Vincent Gripon , Jian Tang , Antonio Ortega

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 2020-07-21 Ismail Elezi , Sebastiano Vascon , Alessandro Torcinovich , Marcello Pelillo , Laura Leal-Taixe

Multiclass multilabel classification is the task of attributing multiple labels to examples via predictions. Current models formulate a reduction of the multilabel setting into either multiple binary classifications or multiclass…

Machine Learning · Computer Science 2022-11-01 Gabriel Bénédict , Vincent Koops , Daan Odijk , Maarten de Rijke

We introduce two-scale loss functions for use in various gradient descent algorithms applied to classification problems via deep neural networks. This new method is generic in the sense that it can be applied to a wide range of machine…

Numerical Analysis · Mathematics 2021-09-03 Leonid Berlyand , Robert Creese , Pierre-Emmanuel Jabin

Divergence measures have a long association with statistical inference, machine learning and information theory. The density power divergence and related measures have produced many useful (and popular) statistical procedures, which provide…

Statistics Theory · Mathematics 2022-09-07 Souvik Ray , Subrata Pal , Sumit Kumar Kar , Ayanendranath Basu

This paper revisits the special type of a neural network known under two names. In the statistics and machine learning community it is known as a multi-class logistic regression neural network. In the neural network community, it is simply…

Machine Learning · Statistics 2021-01-29 Marek Rychlik

Divergences are quantities that measure discrepancy between two probability distributions and play an important role in various fields such as statistics and machine learning. Divergences are non-negative and are equal to zero if and only…

Statistics Theory · Mathematics 2019-10-22 Tomohiro Nishiyama

The loss function is crucial to machine learning, especially in supervised learning frameworks. It is a fundamental component that controls the behavior and general efficacy of learning algorithms. However, despite their widespread use,…

Machine Learning · Computer Science 2026-02-09 Soumi Mahato , Lineesh M. C

Longitudinal Multiple Sclerosis Lesion Segmentation is a particularly challenging problem that involves both input and output imbalance in the data and segmentation. Therefore in order to develop models that are practical, one of the…

Computer Vision and Pattern Recognition · Computer Science 2025-08-26 Dayan Perera , Ting Fung Fung , Vishnu Monn

The Softmax function is used in the final layer of nearly all existing sequence-to-sequence models for language generation. However, it is usually the slowest layer to compute which limits the vocabulary size to a subset of most frequent…

Computation and Language · Computer Science 2019-03-25 Sachin Kumar , Yulia Tsvetkov