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In this paper, we propose a novel bounded asymmetric elastic net ($L_{baen}$) loss function and combine it with the support vector machine (SVM), resulting in the BAEN-SVM. The $L_{baen}$ is bounded and asymmetric and can degrade to the…

机器学习 · 统计学 2026-04-09 Haiyan Du , Hu Yang

Kernel approximation is widely used to scale up kernel SVM training and prediction. However, the memory and computation costs of kernel approximation models are still too high if we want to deploy them on memory-limited devices such as…

机器学习 · 计算机科学 2020-10-07 Zijian Lei , Liang Lan

The Support Vector Machine (SVM) is a popular classification paradigm in machine learning and has achieved great success in real applications. However, the standard SVM can not select variables automatically and therefore its solution…

统计方法学 · 统计学 2008-12-18 Hao Helen Zhang , Yufeng Liu , Yichao Wu , Ji Zhu

We propose a novel integrated formulation for multiclass and multilabel support vector machines (SVMs). A number of approaches have been proposed to extend the original binary SVM to an all-in-one multiclass SVM. However, its direct…

机器学习 · 计算机科学 2020-03-26 Hoda Shajari , Anand Rangarajan

Transductive SVM (TSVM) is a well known semi-supervised large margin learning method for binary text classification. In this paper we extend this method to multi-class and hierarchical classification problems. We point out that the…

机器学习 · 计算机科学 2012-11-02 Sathiya Keerthi Selvaraj , Sundararajan Sellamanickam , Shirish Shevade

One Class Slab Support Vector Machines (OCSSVM) have turned out to be better in terms of accuracy in certain classes of classification problems than the traditional SVMs and One Class SVMs or even other One class classifiers. This paper…

机器学习 · 计算机科学 2024-09-05 Bagesh Kumar , Ayush Sinha , Sourin Chakrabarti , O. P. Vyas

The support vector machine (SVM) is a widely used method for classification. Although many efforts have been devoted to develop efficient solvers, it remains challenging to apply SVM to large-scale problems. A nice property of SVM is that…

机器学习 · 计算机科学 2013-10-29 Jie Wang , Peter Wonka , Jieping Ye

In functional data analysis, binary classification with one functional covariate has been extensively studied. We aim to fill in the gap of considering multivariate functional covariates in classification. In particular, we propose an…

机器学习 · 统计学 2025-08-11 Bingfan Liu , Peijun Sang

Support Vector Machine (SVM) is powerful classification technique based on the idea of structural risk minimization. Use of kernel function enables curse of dimensionality to be addressed. However, proper kernel function for certain problem…

机器学习 · 计算机科学 2014-03-04 Arindam Chaudhuri

Quantum algorithms can enhance machine learning in different aspects. In 2014, Rebentrost $et~al.$ constructed a least squares quantum support vector machine (LS-QSVM), in which the Swap Test plays a crucial role in realizing the…

量子物理 · 物理学 2022-06-03 Rui Zhang , Jian Wang , Nan Jiang , Zichen Wang

Sparsity-inducing penalties are useful tools to design multiclass support vector machines (SVMs). In this paper, we propose a convex optimization approach for efficiently and exactly solving the multiclass SVM learning problem involving a…

机器学习 · 计算机科学 2015-12-15 G. Chierchia , Nelly Pustelnik , Jean-Christophe Pesquet , B. Pesquet-Popescu

A support vector machine (SVM) is an algorithm that finds a hyperplane which optimally separates labeled data points in $\mathbb{R}^n$ into positive and negative classes. The data points on the margin of this separating hyperplane are…

机器学习 · 计算机科学 2022-09-19 Henry Adams , Elin Farnell , Brittany Story

This paper proposes a robust classification model, based on support vector machine (SVM), which simultaneously deals with outliers detection and feature selection. The classifier is built considering the ramp loss margin error and it…

Twin support vector machine~(TSVM) is a powerful learning algorithm by solving a pair of smaller SVM-type problems. However, there are still some specific issues such as low efficiency and weak robustness when it is faced with some real…

机器学习 · 计算机科学 2019-07-30 Bin-Bin Gao , Jian-Jun Wang

Tackling pattern recognition problems in areas such as computer vision, bioinformatics, speech or text recognition is often done best by taking into account task-specific statistical relations between output variables. In structured…

机器学习 · 统计学 2016-03-14 Rein Houthooft , Filip De Turck

Bilevel optimizaiton serves as a powerful tool for many machine learning applications. Perturbed pessimistic bilevel problem PBP$\epsilon$, with $\epsilon$ being an arbitrary positive number, is a variant of the bilevel problem to deal with…

最优化与控制 · 数学 2024-01-09 Haimei Huo , Risheng Liu , Zhixun Su

Support Vector Machines (SVM) is a computational technique which has been used in various fields of sciences as a classifier with k-class classification capability, k being 2,3,4, etc. Seismograms of volcanic tremors often contain noises…

信号处理 · 电气工程与系统科学 2020-03-10 Rohit Kumar Shrivastava

Classification and probability estimation are fundamental tasks with broad applications across modern machine learning and data science, spanning fields such as biology, medicine, engineering, and computer science. Recent development of…

统计方法学 · 统计学 2026-03-25 Liyun Zeng , Hao Helen Zhang

The so-called pinball loss for estimating conditional quantiles is a well-known tool in both statistics and machine learning. So far, however, only little work has been done to quantify the efficiency of this tool for nonparametric…

统计理论 · 数学 2011-02-11 Ingo Steinwart , Andreas Christmann

Support Vector Machine (SVM) is a state-of-the-art classification method widely used in science and engineering due to its high accuracy, its ability to deal with high dimensional data, and its flexibility in modeling diverse sources of…

机器学习 · 计算机科学 2024-09-30 Xingfu Wu , Tupendra Oli , Justin H. Qian , Valerie Taylor , Mark C. Hersam , Vinod K. Sangwan