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We propose a generalized formulation of the Huber loss. We show that with a suitable function of choice, specifically the log-exp transform; we can achieve a loss function which combines the desirable properties of both the absolute and the…

机器学习 · 统计学 2021-08-31 Kaan Gokcesu , Hakan Gokcesu

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…

机器学习 · 计算机科学 2022-11-02 Rayan Wali

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…

计算机视觉与模式识别 · 计算机科学 2022-06-24 Xiong Zhou , Xianming Liu , Deming Zhai , Junjun Jiang , Xin Gao , Xiangyang Ji

The Federated Learning setting has a central server coordinating the training of a model on a network of devices. One of the challenges is variable training performance when the dataset has a class imbalance. In this paper, we address this…

机器学习 · 计算机科学 2020-11-13 Dipankar Sarkar , Ankur Narang , Sumit Rai

In this work we study loss functions for learning and evaluating probability distributions over large discrete domains. Unlike classification or regression where a wide variety of loss functions are used, in the distribution learning and…

机器学习 · 计算机科学 2019-08-05 Nika Haghtalab , Cameron Musco , Bo Waggoner

In neural networks, the loss function represents the core of the learning process that leads the optimizer to an approximation of the optimal convergence error. Convolutional neural networks (CNN) use the loss function as a supervisory…

计算机视觉与模式识别 · 计算机科学 2020-09-30 Riccardo La Grassa , Ignazio Gallo , Nicola Landro

We consider the problem of learning a loss function which, when minimized over a training dataset, yields a model that approximately minimizes a validation error metric. Though learning an optimal loss function is NP-hard, we present an…

机器学习 · 计算机科学 2019-07-02 Matthew Streeter

In modern classification tasks, the number of labels is getting larger and larger, as is the size of the datasets encountered in practice. As the number of classes increases, class ambiguity and class imbalance become more and more…

机器学习 · 统计学 2022-07-19 Camille Garcin , Maximilien Servajean , Alexis Joly , Joseph Salmon

Incorrectly labelled training data are frustratingly ubiquitous in both benchmark and specially curated datasets. Such mislabelling clearly adversely affects the performance and generalizability of models trained through supervised learning…

机器学习 · 计算机科学 2025-11-27 Nicholas Pellegrino , David Szczecina , Paul Fieguth

To enhance the reproducibility and reliability of deep learning models, we address a critical gap in current training methodologies: the lack of mechanisms that ensure consistent and robust performance across runs. Our empirical analysis…

机器学习 · 计算机科学 2026-01-05 Waqas Ahmed , Sheeba Samuel , Kevin Coakley , Birgitta Koenig-Ries , Odd Erik Gundersen

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…

We consider supervised learning problems in which set predictions provide explicit uncertainty estimates. Using Choquet integrals (a.k.a. Lov{\'a}sz extensions), we propose a convex loss function for nondecreasing subset-valued functions…

机器学习 · 计算机科学 2025-12-23 Francis Bach

A loss function measures the discrepancy between the true values (observations) and their estimated fits, for a given instance of data. A loss function is said to be proper (unbiased, Fisher consistent) if the fits are defined over a unit…

信息论 · 计算机科学 2018-05-11 Amichai Painsky , Gregory W. Wornell

We demonstrate equivalence between the reinforcement learning problem and the supervised classification problem. We consequently equate the exploration exploitation trade-off in reinforcement learning to the dataset imbalance problem in…

机器学习 · 计算机科学 2023-08-09 Hasham Burhani , Xiao Qi Shi , Jonathan Jaegerman , Daniel Balicki

Robust estimation has played an important role in statistical and machine learning. However, its applications to functional linear regression are still under-developed. In this paper, we focus on Huber's loss with a diverging robustness…

统计理论 · 数学 2024-09-18 Ling Peng , Xiaohui Liu , Heng Lian

Due to the inherent imbalance in real-world datasets, na\"ive Empirical Risk Minimization (ERM) tends to bias the learning process towards the majority classes, hindering generalization to minority classes. To rebalance the learning…

机器学习 · 计算机科学 2025-12-09 Zitai Wang , Qianqian Xu , Zhiyong Yang , Zhikang Xu , Linchao Zhang , Xiaochun Cao , Qingming Huang

The margin-based softmax loss functions greatly enhance intra-class compactness and perform well on the tasks of face recognition and object classification. Outperformance, however, depends on the careful hyperparameter selection. Moreover,…

计算机视觉与模式识别 · 计算机科学 2019-12-18 JT Wu , L. Wang

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,…

机器学习 · 计算机科学 2026-02-09 Soumi Mahato , Lineesh M. C

We propose average Localisation-Recall-Precision (aLRP), a unified, bounded, balanced and ranking-based loss function for both classification and localisation tasks in object detection. aLRP extends the Localisation-Recall-Precision (LRP)…

计算机视觉与模式识别 · 计算机科学 2021-01-08 Kemal Oksuz , Baris Can Cam , Emre Akbas , Sinan Kalkan

Object grasping is a crucial technology enabling robots to perceive and interact with the environment sufficiently. However, in practical applications, researchers are faced with missing or noisy ground truth while training the…

机器人学 · 计算机科学 2024-09-10 Yangfan Deng , Mengyao Zhang , Yong Zhao