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This paper presents a comprehensive review of loss functions and performance metrics in deep learning, highlighting key developments and practical insights across diverse application areas. We begin by outlining fundamental considerations…

All machine learning algorithms use a loss, cost, utility or reward function to encode the learning objective and oversee the learning process. This function that supervises learning is a frequently unrecognized hyperparameter that…

Neural and Evolutionary Computing · Computer Science 2024-11-06 Mathew Mithra Noel , Arindam Banerjee , Yug Oswal , Geraldine Bessie Amali D , Venkataraman Muthiah-Nakarajan

In most machine learning training paradigms a fixed, often handcrafted, loss function is assumed to be a good proxy for an underlying evaluation metric. In this work we assess this assumption by meta-learning an adaptive loss function to…

Machine Learning · Computer Science 2019-05-16 Chen Huang , Shuangfei Zhai , Walter Talbott , Miguel Angel Bautista , Shih-Yu Sun , Carlos Guestrin , Josh Susskind

Designing an effective loss function plays a crucial role in training deep recommender systems. Most existing works often leverage a predefined and fixed loss function that could lead to suboptimal recommendation quality and training…

Information Retrieval · Computer Science 2021-06-15 Xiangyu Zhao , Haochen Liu , Wenqi Fan , Hui Liu , Jiliang Tang , Chong Wang

Loss functions engineering and the assessment of forecasting performances are two crucial and intertwined aspects of supervised machine learning. This paper focuses on binary classification to introduce a class of loss functions that are…

Machine Learning · Computer Science 2021-03-30 Francesco Marchetti , Sabrina Guastavino , Michele Piana , Cristina Campi

In this paper we refine the process of computing calibration functions for a number of multiclass classification surrogate losses. Calibration functions are a powerful tool for easily converting bounds for the surrogate risk (which can be…

Machine Learning · Statistics 2016-09-22 Bernardo Ávila Pires , Csaba Szepesvári

Loss functions are at the heart of deep learning, shaping how models learn and perform across diverse tasks. They are used to quantify the difference between predicted outputs and ground truth labels, guiding the optimization process to…

Machine Learning · Computer Science 2025-09-11 Omar Elharrouss , Yasir Mahmood , Yassine Bechqito , Mohamed Adel Serhani , Elarbi Badidi , Jamal Riffi , Hamid Tairi

Obtaining reliable and accurate quantification of uncertainty estimates from deep neural networks is important in safety-critical applications. A well-calibrated model should be accurate when it is certain about its prediction and indicate…

Machine Learning · Computer Science 2020-12-16 Ranganath Krishnan , Omesh Tickoo

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

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

In recommendation systems, the choice of loss function is critical since a good loss may significantly improve the model performance. However, manually designing a good loss is a big challenge due to the complexity of the problem. A large…

Information Retrieval · Computer Science 2022-04-29 Zelong Li , Jianchao Ji , Yingqiang Ge , Yongfeng Zhang

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

In imbalanced multi-class classification problems, the misclassification rate as an error measure may not be a relevant choice. Several methods have been developed where the performance measure retained richer information than the mere…

Machine Learning · Computer Science 2013-11-05 Sokol Koço , Cécile Capponi

We study the problem of multiset prediction. The goal of multiset prediction is to train a predictor that maps an input to a multiset consisting of multiple items. Unlike existing problems in supervised learning, such as classification,…

Machine Learning · Computer Science 2018-10-29 Sean Welleck , Zixin Yao , Yu Gai , Jialin Mao , Zheng Zhang , Kyunghyun Cho

In binary classification problems, mainly two approaches have been proposed; one is loss function approach and the other is uncertainty set approach. The loss function approach is applied to major learning algorithms such as support vector…

Machine Learning · Statistics 2012-05-01 Takafumi Kanamori , Akiko Takeda , Taiji Suzuki

Predictive models that accurately emulate complex scientific processes can achieve exponential speed-ups over numerical simulators or experiments, and at the same time provide surrogates for improving the subsequent analysis. Consequently,…

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

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

Significant progress has been achieved in automating the design of various components in deep networks. However, the automatic design of loss functions for generic tasks with various evaluation metrics remains under-investigated. Previous…

Computer Vision and Pattern Recognition · Computer Science 2021-03-26 Hao Li , Tianwen Fu , Jifeng Dai , Hongsheng Li , Gao Huang , Xizhou Zhu

Evaluation metrics in machine learning are often hardly taken as loss functions, as they could be non-differentiable and non-decomposable, e.g., average precision and F1 score. This paper aims to address this problem by revisiting the…

Machine Learning · Computer Science 2022-03-01 Tao Huang , Zekang Li , Hua Lu , Yong Shan , Shusheng Yang , Yang Feng , Fei Wang , Shan You , Chang Xu
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