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The Support Vector Machine (SVM) is one of the most widely used classification methods. In this paper, we consider the soft-margin SVM used on data points with independent features, where the sample size $n$ and the feature dimension $p$…

机器学习 · 统计学 2019-08-02 Haoyang Liu

One of the limiting factors of using support vector machines (SVMs) in large scale applications are their super-linear computational requirements in terms of the number of training samples. To address this issue, several approaches that…

机器学习 · 统计学 2015-07-24 Mona Eberts , Ingo Steinwart

Support vector machines (SVMs) appeared in the early nineties as optimal margin classifiers in the context of Vapnik's statistical learning theory. Since then SVMs have been successfully applied to real-world data analysis problems, often…

统计理论 · 数学 2016-08-16 Javier M. Moguerza , Alberto Muñoz

In conventional prediction tasks, a machine learning algorithm outputs a single best model that globally optimizes its objective function, which typically is accuracy. Therefore, users cannot access the other models explicitly. In contrast…

机器学习 · 计算机科学 2019-06-06 Kentaro Kanamori , Satoshi Hara , Masakazu Ishihata , Hiroki Arimura

The support vector machine (SVM) and minimum Euclidean norm least squares regression are two fundamentally different approaches to fitting linear models, but they have recently been connected in models for very high-dimensional data through…

机器学习 · 计算机科学 2021-10-28 Navid Ardeshir , Clayton Sanford , Daniel Hsu

We investigate the issue of model selection and the use of the nonconformity (strangeness) measure in batch learning. Using the nonconformity measure we propose a new training algorithm that helps avoid the need for Cross-Validation or…

机器学习 · 统计学 2009-09-15 David R. Hardoon , Zakria Hussain , John Shawe-Taylor

We consider gradient descent like algorithms for Support Vector Machine (SVM) training when the data is in relational form. The gradient of the SVM objective can not be efficiently computed by known techniques as it suffers from the…

数据结构与算法 · 计算机科学 2020-05-13 Mahmoud Abo-Khamis , Sungjin Im , Benjamin Moseley , Kirk Pruhs , Alireza Samadian

Stochastic gradient descent algorithms for training linear and kernel predictors are gaining more and more importance, thanks to their scalability. While various methods have been proposed to speed up their convergence, the model selection…

机器学习 · 计算机科学 2014-06-17 Francesco Orabona

Disease classification is a crucial element of biomedical research. Recent studies have demonstrated that machine learning techniques, such as Support Vector Machine (SVM) modeling, produce similar or improved predictive capabilities in…

机器学习 · 统计学 2017-08-02 Jessica M. Rudd

It is known that the classification performance of Support Vector Machine (SVM) can be conveniently affected by the different parameters of the kernel tricks and the regularization parameter, C. Thus, in this article, we propose a study in…

计算与语言 · 计算机科学 2015-07-23 Rimah Amami , Dorra Ben Ayed , Noureddine Ellouze

Support Vector Machine (SVM) is a robust machine learning algorithm with broad applications in classification, regression, and outlier detection. SVM requires tuning the regularization parameter (RP) which controls the model capacity and…

机器学习 · 统计学 2023-05-18 Mahdi Shamsi , Soosan Beheshti

This study introduces a novel formulation to enhance Support Vector Machines (SVMs) in handling class imbalance and noise. Unlike the conventional Soft Margin SVM, which penalizes the magnitude of constraint violations, the proposed model…

机器学习 · 计算机科学 2025-03-20 Seyed Mojtaba Mohasel , Hamidreza Koosha

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

This paper aims at improving the classification accuracy of a Support Vector Machine (SVM) classifier with Sequential Minimal Optimization (SMO) training algorithm in order to properly classify failure and normal instances from oil and gas…

机器学习 · 计算机科学 2021-01-01 Zhiyuan Chen , Isa Dino , Nik Ahmad Akram

The support vector machine (SVM) is an important class of learning machines for function approach, pattern recognition, and time-serious prediction, etc. It maps samples into the feature space by so-called support vectors of selected…

机器学习 · 统计学 2016-02-15 Hong Zhao

Support vector machines (SVMs) have been successful in solving many computer vision tasks including image and video category recognition especially for small and mid-scale training problems. The principle of these non-parametric models is…

计算机视觉与模式识别 · 计算机科学 2019-12-13 Hichem Sahbi

The support vector machine (SVM) is a popular machine learning classification method which produces a nonlinear decision boundary in a feature space by constructing linear boundaries in a transformed Hilbert space. It is well known that…

量子物理 · 物理学 2017-10-31 Rupak Chatterjee , Ting Yu

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

In many applications, input data are sampled functions taking their values in infinite dimensional spaces rather than standard vectors. This fact has complex consequences on data analysis algorithms that motivate modifications of them. In…

统计理论 · 数学 2007-05-23 Fabrice Rossi , Nathalie Villa

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