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The classical hinge-loss support vector machines (SVMs) model is sensitive to outlier observations due to the unboundedness of its loss function. To circumvent this issue, recent studies have focused on non-convex loss functions, such as…

机器学习 · 计算机科学 2022-07-19 Ítalo Santana , Breno Serrano , Maximilian Schiffer , Thibaut Vidal

In this paper we establish a new margin-based generalization bound for voting classifiers, refining existing results and yielding tighter generalization guarantees for widely used boosting algorithms such as AdaBoost (Freund and Schapire,…

机器学习 · 计算机科学 2025-06-04 Mikael Møller Høgsgaard , Kasper Green Larsen

This paper studies binary classification problem associated with a family of loss functions called large-margin unified machines (LUM), which offers a natural bridge between distribution-based likelihood approaches and margin-based…

机器学习 · 统计学 2019-08-14 Jun Fan , Dao-Hong Xiang

A robust estimation framework for binary regression models is studied, aiming to extend traditional approaches like logistic regression models. While previous studies largely focused on logistic models, we explore a broader class of models…

统计方法学 · 统计学 2025-02-24 Kenichi Hayashi , Shinto Eguchi

In this work, we propose a new optimization framework for multiclass boosting learning. In the literature, AdaBoost.MO and AdaBoost.ECC are the two successful multiclass boosting algorithms, which can use binary weak learners. We explicitly…

机器学习 · 计算机科学 2010-09-21 Zhihui Hao , Chunhua Shen , Nick Barnes , Bo Wang

We study three classical machine learning algorithms in the context of algorithmic fairness: adaptive boosting, support vector machines, and logistic regression. Our goal is to maintain the high accuracy of these learning algorithms while…

机器学习 · 计算机科学 2016-01-22 Benjamin Fish , Jeremy Kun , Ádám D. Lelkes

We study consistency of learning algorithms for a multi-class performance metric that is a non-decomposable function of the confusion matrix of a classifier and cannot be expressed as a sum of losses on individual data points; examples of…

机器学习 · 计算机科学 2015-01-05 Harish G. Ramaswamy , Harikrishna Narasimhan , Shivani Agarwal

Boosting is a fundamental approach in machine learning that enjoys both strong theoretical and practical guarantees. At a high-level, boosting algorithms cleverly aggregate weak learners to generate predictions with arbitrarily high…

机器学习 · 计算机科学 2022-10-19 Vinod Raman , Ambuj Tewari

Fisher score is one of the most widely used supervised feature selection methods. However, it selects each feature independently according to their scores under the Fisher criterion, which leads to a suboptimal subset of features. In this…

机器学习 · 计算机科学 2012-02-20 Quanquan Gu , Zhenhui Li , Jiawei Han

The performance of neural networks in content-based image retrieval (CBIR) is highly influenced by the chosen loss (objective) function. The majority of objective functions for neural models can be divided into metric learning and…

计算机视觉与模式识别 · 计算机科学 2023-06-06 Alexandru Ghita , Radu Tudor Ionescu

In this paper, we introduce a new approach to multiclass classification problem. We decompose the problem into a series of regression tasks, that are solved with CART trees. The proposed method works significantly faster than…

机器学习 · 计算机科学 2019-09-12 Igor E. Kuralenok , Yurii Rebryk , Ruslan Solovev , Anton Ermilov

Binary classification is a common statistical learning problem in which a model is estimated on a set of covariates for some outcome indicating the membership of one of two classes. In the literature, there exists a distinction between hard…

机器学习 · 统计学 2014-11-20 Patrick K. Kimes , D. Neil Hayes , J. S. Marron , Yufeng Liu

In this work, we study a new approach to optimizing the margin distribution realized by binary classifiers. The classical approach to this problem is simply maximization of the expected margin, while more recent proposals consider…

机器学习 · 统计学 2018-10-12 Matthew J. Holland

Boosting algorithms produce a classifier by iteratively combining base hypotheses. It has been observed experimentally that the generalization error keeps improving even after achieving zero training error. One popular explanation…

机器学习 · 计算机科学 2019-01-31 Allan Grønlund , Kasper Green Larsen , Alexander Mathiasen

We present a scalable and effective classification model to train multi-class boosting for multi-class classification problems. Shen and Hao introduced a direct formulation of multi- class boosting in the sense that it directly maximizes…

机器学习 · 计算机科学 2013-07-23 Sakrapee Paisitkriangkrai , Chunhua Shen , Anton van den Hengel

We develop a new approach to solving classification problems, which is bases on the theory of coherent measures of risk and risk sharing ideas. The proposed approach aims at designing a risk-averse classifier. The new approach allows for…

机器学习 · 统计学 2018-07-24 Constantine Vitt , Darinka Dentcheva , Hui Xiong

The ability to learn new concepts continually is necessary in this ever-changing world. However, deep neural networks suffer from catastrophic forgetting when learning new categories. Many works have been proposed to alleviate this…

计算机视觉与模式识别 · 计算机科学 2022-07-21 Fu-Yun Wang , Da-Wei Zhou , Han-Jia Ye , De-Chuan Zhan

Recent work has extended the theoretical analysis of boosting algorithms to multiclass problems and to online settings. However, the multiclass extension is in the batch setting and the online extensions only consider binary classification.…

机器学习 · 统计学 2018-02-27 Young Hun Jung , Jack Goetz , Ambuj Tewari

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

We introduce a useful tool for analyzing boosting algorithms called the ``smooth margin function,'' a differentiable approximation of the usual margin for boosting algorithms. We present two boosting algorithms based on this smooth margin,…

机器学习 · 统计学 2008-12-18 Cynthia Rudin , Robert E. Schapire , Ingrid Daubechies