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Neural networks have dramatically increased our capacity to learn from large, high-dimensional datasets across innumerable disciplines. However, their decisions are not easily interpretable, their computational costs are high, and building…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Mackenzie J. Meni , Ryan T. White , Michael Mayo , Kevin Pilkiewicz

We propose a novel loss function that dynamically rescales the cross entropy based on prediction difficulty regarding a sample. Deep neural network architectures in image classification tasks struggle to disambiguate visually similar…

Computer Vision and Pattern Recognition · Computer Science 2019-09-26 Serim Ryou , Seong-Gyun Jeong , Pietro Perona

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

Over the past decades, numerous loss functions have been been proposed for a variety of supervised learning tasks, including regression, classification, ranking, and more generally structured prediction. Understanding the core principles…

Machine Learning · Statistics 2020-03-03 Mathieu Blondel , André F. T. Martins , Vlad Niculae

This paper describes one objective function for learning semantically coherent feature embeddings in multi-output classification problems, i.e., when the response variables have dimension higher than one. In particular, we consider the…

Computer Vision and Pattern Recognition · Computer Science 2020-03-23 Hugo Proença , Ehsan Yaghoubi , Pendar Alirezazadeh

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

One common loss function in neural network classification tasks is Categorical Cross Entropy (CCE), which punishes all misclassifications equally. However, classes often have an inherent structure. For instance, classifying an image of a…

Machine Learning · Computer Science 2020-03-09 Konstantin Kobs , Michael Steininger , Albin Zehe , Florian Lautenschlager , Andreas Hotho

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

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

Imbalanced datasets are commonplace in modern machine learning problems. The presence of under-represented classes or groups with sensitive attributes results in concerns about generalization and fairness. Such concerns are further…

Machine Learning · Computer Science 2022-01-05 Mingchen Li , Xuechen Zhang , Christos Thrampoulidis , Jiasi Chen , Samet Oymak

Modern deep learning is primarily an experimental science, in which empirical advances occasionally come at the expense of probabilistic rigor. Here we focus on one such example; namely the use of the categorical cross-entropy loss to model…

Machine Learning · Statistics 2020-11-11 Elliott Gordon-Rodriguez , Gabriel Loaiza-Ganem , Geoff Pleiss , John P. Cunningham

Loss functions drive the optimization of machine learning algorithms. The choice of a loss function can have a significant impact on the training of a model, and how the model learns the data. Binary classification is one of the major…

Machine Learning · Computer Science 2022-11-02 Rayan Wali

Many interesting tasks in machine learning and computer vision are learned by optimising an objective function defined as a weighted linear combination of multiple losses. The final performance is sensitive to choosing the correct…

Computer Vision and Pattern Recognition · Computer Science 2020-11-11 Rick Groenendijk , Sezer Karaoglu , Theo Gevers , Thomas Mensink

This paper investigates the impact of the loss function in value-based methods for reinforcement learning through an analysis of underlying prediction objectives. We theoretically show that mean absolute error is a better prediction…

Machine Learning · Computer Science 2025-11-11 Alex Ayoub , David Szepesvári , Alireza Bakhtiari , Csaba Szepesvári , Dale Schuurmans

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

Designing proper loss functions is essential in training deep networks. Especially in the field of semantic segmentation, various evaluation metrics have been proposed for diverse scenarios. Despite the success of the widely adopted…

Computer Vision and Pattern Recognition · Computer Science 2020-12-04 Hao Li , Chenxin Tao , Xizhou Zhu , Xiaogang Wang , Gao Huang , Jifeng Dai

Loss function learning is a new meta-learning paradigm that aims to automate the essential task of designing a loss function for a machine learning model. Existing techniques for loss function learning have shown promising results, often…

Machine Learning · Computer Science 2025-10-14 Christian Raymond , Qi Chen , Bing Xue , Mengjie Zhang

Proper losses such as cross-entropy incentivize classifiers to produce class probabilities that are well-calibrated on the training data. Due to the generalization gap, these classifiers tend to become overconfident on the test data,…

Machine Learning · Computer Science 2025-08-27 Viacheslav Komisarenko , Meelis Kull

Deep neural networks trained using a softmax layer at the top and the cross-entropy loss are ubiquitous tools for image classification. Yet, this does not naturally enforce intra-class similarity nor inter-class margin of the learned deep…

Computer Vision and Pattern Recognition · Computer Science 2017-12-06 José Lezama , Qiang Qiu , Pablo Musé , Guillermo Sapiro

As the complexity of neural network models has grown, it has become increasingly important to optimize their design automatically through metalearning. Methods for discovering hyperparameters, topologies, and learning rate schedules have…

Machine Learning · Computer Science 2020-04-28 Santiago Gonzalez , Risto Miikkulainen