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Most state-of-the-art machine learning techniques revolve around the optimisation of loss functions. Defining appropriate loss functions is therefore critical to successfully solving problems in this field. In this survey, we present a…

Machine Learning · Computer Science 2024-11-19 Lorenzo Ciampiconi , Adam Elwood , Marco Leonardi , Ashraf Mohamed , Alessandro Rozza

Loss functions are a cornerstone of machine learning and the starting point of most algorithms. Statistics and Bayesian decision theory have contributed, via properness, to elicit over the past decades a wide set of admissible losses in…

Machine Learning · Computer Science 2020-11-06 Christian Walder , Richard Nock

Labeling a training set is often expensive and susceptible to errors, making the design of robust loss functions for label noise an important problem. The symmetry condition provides theoretical guarantees for robustness to such noise. In…

Machine Learning · Computer Science 2026-05-21 Alexandre Lemire Paquin , Brahim Chaib-Draa , Philippe Giguère

One of the main challenges for feature representation in deep learning-based classification is the design of appropriate loss functions that exhibit strong discriminative power. The classical softmax loss does not explicitly encourage…

Computer Vision and Pattern Recognition · Computer Science 2022-06-24 Xiong Zhou , Xianming Liu , Deming Zhai , Junjun Jiang , Xin Gao , Xiangyang Ji

In the era of deep learning, loss functions determine the range of tasks available to models and algorithms. To support the application of deep learning in multi-label classification (MLC) tasks, we propose the ZLPR (zero-bounded…

Machine Learning · Computer Science 2022-08-08 Jianlin Su , Mingren Zhu , Ahmed Murtadha , Shengfeng Pan , Bo Wen , Yunfeng Liu

The choice of a loss function is a critical part of machine learning. This paper evaluated two different loss functions commonly used in regression-task dimensional speech emotion recognition, an error-based and a correlation-based loss…

Audio and Speech Processing · Electrical Eng. & Systems 2022-07-22 Bagus Tris Atmaja , Masato Akagi

The Softmax loss is one of the most widely employed surrogate objectives for classification and ranking tasks. To elucidate its theoretical properties, the Fenchel-Young framework situates it as a canonical instance within a broad family of…

Machine Learning · Computer Science 2026-02-02 Yuanhao Pu , Defu Lian , Enhong Chen

Multi-task learning (MTL) is an active field in deep learning in which we train a model to jointly learn multiple tasks by exploiting relationships between the tasks. It has been shown that MTL helps the model share the learned features…

Computer Vision and Pattern Recognition · Computer Science 2021-11-30 Akihiro Nakano , Shi Chen , Kazuyuki Demachi

In this paper, we introduce harmonic loss as an alternative supervisory signal for training neural networks and large language models (LLMs). Harmonic loss differs from standard cross-entropy loss by (a) replacing the usual SoftMax…

Machine Learning · Computer Science 2025-07-11 David D. Baek , Ziming Liu , Riya Tyagi , Max Tegmark

This paper presents an analysis regarding an influence of the Distance Metric Learning (DML) loss functions on the supervised fine-tuning of the language models for classification tasks. We experimented with known datasets from SentEval…

Computation and Language · Computer Science 2022-11-29 Witold Sosnowski , Karolina Seweryn , Anna Wróblewska , Piotr Gawrysiak

Density ratio estimation (DRE) is a fundamental machine learning technique for capturing relationships between two probability distributions. State-of-the-art DRE methods estimate the density ratio using neural networks trained with loss…

Machine Learning · Statistics 2025-03-18 Yoshiaki Kitazawa

Many loss functions have been derived from cross-entropy loss functions such as large-margin softmax loss and focal loss. The large-margin softmax loss makes the classification more rigorous and prevents overfitting. The focal loss…

Computer Vision and Pattern Recognition · Computer Science 2023-02-10 Jiajie Chen

Although generation-based dialogue systems have been widely researched, the response generations by most existing systems have very low diversities. The most likely reason for this problem is Maximum Likelihood Estimation (MLE) with Softmax…

Computation and Language · Computer Science 2018-11-22 Ryo Nakamura , Katsuhito Sudoh , Koichiro Yoshino , Satoshi Nakamura

Different from large-scale classification tasks, fine-grained visual classification is a challenging task due to two critical problems: 1) evident intra-class variances and subtle inter-class differences, and 2) overfitting owing to fewer…

Computer Vision and Pattern Recognition · Computer Science 2024-07-08 Hang Yao , Qiguang Miao , Peipei Zhao , Chaoneng Li , Xin Li , Guanwen Feng , Ruyi Liu

In recent years, the softmax model and its fast approximations have become the de-facto loss functions for deep neural networks when dealing with multi-class prediction. This loss has been extended to language modeling and recommendation,…

Machine Learning · Statistics 2019-09-19 Ugo Tanielian , Flavian Vasile

Large language models (LLMs) have gained much attention in the recommendation community; some studies have observed that LLMs, fine-tuned by the cross-entropy loss with a full softmax, could achieve state-of-the-art performance already.…

Information Retrieval · Computer Science 2024-02-23 Cong Xu , Zhangchi Zhu , Jun Wang , Jianyong Wang , Wei Zhang

We propose a novel loss function for imbalanced classification. LDAM loss, which minimizes a margin-based generalization bound, is widely utilized for class-imbalanced image classification. Although, by using LDAM loss, it is possible to…

Computer Vision and Pattern Recognition · Computer Science 2023-06-16 Sota Kato , Kazuhiro Hotta

Value function learning plays a central role in many state-of-the-art reinforcement-learning algorithms. Many popular algorithms like Q-learning do not optimize any objective function, but are fixed-point iterations of some variant of…

Machine Learning · Computer Science 2020-01-10 Yihao Feng , Lihong Li , Qiang Liu

We propose a new loss function for supervised and physics-informed training of neural networks and operators that incorporates a posteriori error estimate. More specifically, during the training stage, the neural network learns additional…

Numerical Analysis · Mathematics 2024-02-09 Vladimir Fanaskov , Alexander Rudikov , Ivan Oseledets

We examine here what type of predictive modelling, classification, or regression, using neural networks (NN), fits better the task of soft-demapping based post-processing in coherent optical communications, where the transmission channel is…

Signal Processing · Electrical Eng. & Systems 2022-08-23 Pedro J. Freire , Jaroslaw E. Prilepsky , Yevhenii Osadchuk , Sergei K. Turitsyn , Vahid Aref