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Review

A Survey of Loss Functions in Deep Learning

by
Caiyi Li
1,2,
Kaishuai Liu
1,2 and
Shuai Liu
1,2,*
1
School of Educational Science, Hunan Normal University, Changsha 410081, China
2
Institute of Interdisciplinary Studies, Hunan Normal University, Changsha 410081, China
*
Author to whom correspondence should be addressed.
Mathematics 2025, 13(15), 2417; https://doi.org/10.3390/math13152417 (registering DOI)
Submission received: 16 June 2025 / Revised: 20 July 2025 / Accepted: 21 July 2025 / Published: 27 July 2025
(This article belongs to the Special Issue Advances in Applied Mathematics in Computer Vision)

Abstract

Deep learning (DL), as a cutting-edge technology in artificial intelligence, has significantly impacted fields such as computer vision and natural language processing. Loss function determines the convergence speed and accuracy of the DL model and has a crucial impact on algorithm quality and model performance. However, most of the existing studies focus on the improvement of specific problems of loss function, which lack a systematic summary and comparison, especially in computer vision and natural language processing tasks. Therefore, this paper reclassifies and summarizes the loss functions in DL and proposes a new category of metric loss. Furthermore, this paper conducts a fine-grained division of regression loss, classification loss, and metric loss, elaborating on the existing problems and improvements. Finally, the new trend of compound loss and generative loss is anticipated. The proposed paper provides a new perspective for loss function division and a systematic reference for researchers in the DL field.
Keywords: deep learning; regression loss; classification loss; metric loss deep learning; regression loss; classification loss; metric loss

Share and Cite

MDPI and ACS Style

Li, C.; Liu, K.; Liu, S. A Survey of Loss Functions in Deep Learning. Mathematics 2025, 13, 2417. https://doi.org/10.3390/math13152417

AMA Style

Li C, Liu K, Liu S. A Survey of Loss Functions in Deep Learning. Mathematics. 2025; 13(15):2417. https://doi.org/10.3390/math13152417

Chicago/Turabian Style

Li, Caiyi, Kaishuai Liu, and Shuai Liu. 2025. "A Survey of Loss Functions in Deep Learning" Mathematics 13, no. 15: 2417. https://doi.org/10.3390/math13152417

APA Style

Li, C., Liu, K., & Liu, S. (2025). A Survey of Loss Functions in Deep Learning. Mathematics, 13(15), 2417. https://doi.org/10.3390/math13152417

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