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The $F_\beta$ score is a commonly used measure of classification performance, which plays crucial roles in classification tasks with imbalanced data sets. However, the $F_\beta$ score cannot be used as a loss function by gradient-based…

机器学习 · 计算机科学 2021-04-06 Namgil Lee , Heejung Yang , Hojin Yoo

The notion of margin loss has been central to the development and analysis of algorithms for binary classification. To date, however, there remains no consensus as to the analogue of the margin loss for multiclass classification. In this…

机器学习 · 统计学 2024-05-20 Yutong Wang , Clayton Scott

This paper explores connections between margin-based loss functions and consistency in binary classification and regression applications. It is shown that a large class of margin-based loss functions for binary classification/regression…

机器学习 · 统计学 2023-01-30 Jeffrey Buzas

A new loss function is proposed for neural networks on classification tasks which extends the hinge loss by assigning gradients to its critical points. We will show that for a linear classifier on linearly separable data with fixed step…

机器学习 · 计算机科学 2020-06-26 Justin Lizama

A learning algorithm referred to as Maximum Margin (MM) is proposed for considering the class-imbalance data learning issue: the trained model tends to predict the majority of classes rather than the minority ones. That is, underfitting for…

机器学习 · 计算机科学 2023-03-30 Haeyong Kang , Thang Vu , Chang D. Yoo

Many evaluation metrics can be used to assess the performance of models in binary classification tasks. However, most of them are derived from a confusion matrix in a non-differentiable form, making it very difficult to generate a…

机器学习 · 计算机科学 2024-05-24 Doheon Han , Nuno Moniz , Nitesh V Chawla

The goal in extreme multi-label classification (XMC) is to tag an instance with a small subset of relevant labels from an extremely large set of possible labels. In addition to the computational burden arising from large number of training…

机器学习 · 统计学 2020-07-02 Erik Schultheis , Mohammadreza Qaraei , Priyanshu Gupta , Rohit Babbar

We introduce two-scale loss functions for use in various gradient descent algorithms applied to classification problems via deep neural networks. This new method is generic in the sense that it can be applied to a wide range of machine…

数值分析 · 数学 2021-09-03 Leonid Berlyand , Robert Creese , Pierre-Emmanuel Jabin

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…

计算机视觉与模式识别 · 计算机科学 2020-12-04 Hao Li , Chenxin Tao , Xizhou Zhu , Xiaogang Wang , Gao Huang , Jifeng Dai

Often, the performance on a supervised machine learning task is evaluated with a emph{task loss} function that cannot be optimized directly. Examples of such loss functions include the classification error, the edit distance and the BLEU…

This paper analyzes and compares different deep learning loss functions in the framework of multi-label remote sensing (RS) image scene classification problems. We consider seven loss functions: 1) cross-entropy loss; 2) focal loss; 3)…

计算机视觉与模式识别 · 计算机科学 2023-01-24 Hichame Yessou , Gencer Sumbul , Begüm Demir

Gradient descent is a simple and widely used optimization method for machine learning. For homogeneous linear classifiers applied to separable data, gradient descent has been shown to converge to the maximal margin (or equivalently, the…

机器学习 · 统计学 2019-07-30 Denali Molitor , Deanna Needell , Rachel Ward

Tool wear monitoring is crucial for quality control and cost reduction in manufacturing processes, of which drilling applications are one example. In this paper, we present a U-Net based semantic image segmentation pipeline, deployed on…

计算机视觉与模式识别 · 计算机科学 2024-02-12 Elke Schlager , Andreas Windisch , Lukas Hanna , Thomas Klünsner , Elias Jan Hagendorfer , Tamara Teppernegg

Deep learning has been shown to achieve impressive results in several domains like computer vision and natural language processing. A key element of this success has been the development of new loss functions, like the popular cross-entropy…

机器学习 · 计算机科学 2019-07-19 Francesco Giannini , Giuseppe Marra , Michelangelo Diligenti , Marco Maggini , Marco Gori

Due to their flexibility and predictive performance, machine-learning based regression methods have become an important tool for predictive modeling and forecasting. However, most methods focus on estimating the conditional mean or specific…

机器学习 · 统计学 2019-03-15 Rui Li , Howard D. Bondell , Brian J. Reich

Recent advances in deep learning have pushed the performances of visual saliency models way further than it has ever been. Numerous models in the literature present new ways to design neural networks, to arrange gaze pattern data, or to…

计算机视觉与模式识别 · 计算机科学 2019-07-05 Alexandre Bruckert , Hamed R. Tavakoli , Zhi Liu , Marc Christie , Olivier Le Meur

Many important computer vision tasks are naturally formulated to have a non-differentiable objective. Therefore, the standard, dominant training procedure of a neural network is not applicable since back-propagation requires the gradients…

计算机视觉与模式识别 · 计算机科学 2023-05-04 Yash Patel

We present a formulation of deep learning that aims at producing a large margin classifier. The notion of margin, minimum distance to a decision boundary, has served as the foundation of several theoretically profound and empirically…

机器学习 · 统计学 2018-12-05 Gamaleldin F. Elsayed , Dilip Krishnan , Hossein Mobahi , Kevin Regan , Samy Bengio

Despite the enormous success of machine learning models in various applications, most of these models lack resilience to (even small) perturbations in their input data. Hence, new methods to robustify machine learning models seem very…

机器学习 · 计算机科学 2020-10-30 Fariborz Salehi , Babak Hassibi

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…

机器学习 · 计算机科学 2022-03-01 Tao Huang , Zekang Li , Hua Lu , Yong Shan , Shusheng Yang , Yang Feng , Fei Wang , Shan You , Chang Xu