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Support Vector Machine (SVM) stands out as a prominent machine learning technique widely applied in practical pattern recognition tasks. It achieves binary classification by maximizing the "margin", which represents the minimum distance…

Machine Learning · Computer Science 2026-01-21 Zhezheng Hao , Feiping Nie , Rong Wang

Support Vector Machines (SVMs) are among the most fundamental tools for binary classification. In its simplest formulation, an SVM produces a hyperplane separating two classes of data using the largest possible margin to the data. The focus…

Machine Learning · Computer Science 2020-06-04 Allan Grønlund , Lior Kamma , Kasper Green Larsen

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…

Statistics Theory · Mathematics 2016-08-16 Javier M. Moguerza , Alberto Muñoz

The support vector machine (SVM) is a well-established classification method whose name refers to the particular training examples, called support vectors, that determine the maximum margin separating hyperplane. The SVM classifier is known…

Statistics Theory · Mathematics 2022-06-15 Daniel Hsu , Vidya Muthukumar , Ji Xu

Support Vector Machine (SVM) is an efficient classification approach, which finds a hyperplane to separate data from different classes. This hyperplane is determined by support vectors. In existing SVM formulations, the objective function…

Machine Learning · Computer Science 2018-04-09 Shuai Zheng , Chris Ding

In this paper, we present new optimization models for Support Vector Machine (SVM), with the aim of separating data points in two or more classes. The classification task is handled by means of nonlinear classifiers induced by kernel…

Optimization and Control · Mathematics 2025-07-15 Francesca Maggioni , Andrea Spinelli

For a variety of regularized optimization problems in machine learning, algorithms computing the entire solution path have been developed recently. Most of these methods are quadratic programs that are parameterized by a single parameter,…

Machine Learning · Computer Science 2012-10-31 Bernd Gärtner , Martin Jaggi , Clément Maria

The purpose of this report is in examining the generalization performance of Support Vector Machines (SVM) as a tool for pattern recognition and object classification. The work is motivated by the growing popularity of the method that is…

Machine Learning · Computer Science 2014-12-16 Eugene Borovikov

Support vector machine (SVM) is one of the most studied paradigms in the realm of machine learning for classification and regression problems. It relies on vectorized input data. However, a significant portion of the real-world data exists…

Machine Learning · Computer Science 2023-10-31 Anuradha Kumari , Mushir Akhtar , Rupal Shah , M. Tanveer

Support vector machine (SVM) is one of the most popular classification algorithms in the machine learning literature. We demonstrate that SVM can be used to balance covariates and estimate average causal effects under the unconfoundedness…

Methodology · Statistics 2021-07-02 Alexander Tarr , Kosuke Imai

In nonparametric classification and regression problems, regularized kernel methods, in particular support vector machines, attract much attention in theoretical and in applied statistics. In an abstract sense, regularized kernel methods…

Machine Learning · Statistics 2011-04-13 Robert Hable

Support vector machine (SVM), is a popular kernel method for data classification that demonstrated its efficiency for a large range of practical applications. The method suffers, however, from some weaknesses including; time processing,…

Machine Learning · Computer Science 2023-08-23 Lakhdar Remaki

Several decades ago, Support Vector Machines (SVMs) were introduced for performing binary classification tasks, under a supervised framework. Nowadays, they often outperform other supervised methods and remain one of the most popular…

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…

Methodology · Statistics 2008-12-18 Hao Helen Zhang , Yufeng Liu , Yichao Wu , Ji Zhu

We consider regularized support vector machines (SVMs) and show that they are precisely equivalent to a new robust optimization formulation. We show that this equivalence of robust optimization and regularization has implications for both…

Machine Learning · Computer Science 2010-02-25 Huan Xu , Constantine Caramanis , Shie Mannor

The support vector machine (SVM) algorithm is well known to the computer learning community for its very good practical results. The goal of the present paper is to study this algorithm from a statistical perspective, using tools of…

Statistics Theory · Mathematics 2008-12-18 Gilles Blanchard , Olivier Bousquet , Pascal Massart

Support Vector Machines (SVM), a popular machine learning technique, has been applied to a wide range of domains such as science, finance, and social networks for supervised learning. Whether it is identifying high-risk patients by…

Distributed, Parallel, and Cluster Computing · Computer Science 2014-06-20 Jeyanthi Narasimhan , Abhinav Vishnu , Lawrence Holder , Adolfy Hoisie

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…

Machine Learning · Computer Science 2022-09-19 Henry Adams , Elin Farnell , Brittany Story

Support vector machine (SVM) is a powerful classification method that has achieved great success in many fields. Since its performance can be seriously impaired by redundant covariates, model selection techniques are widely used for SVM…

Machine Learning · Statistics 2022-07-25 Chaoxia Yuan , Chao Ying , Zhou Yu , Fang Fang

Kernel-based machine learning algorithms are based on mapping data from the original input feature space to a kernel feature space of higher dimensionality to solve a linear problem in that space. Over the last decade, kernel based…

Computer Vision and Pattern Recognition · Computer Science 2011-01-18 Mahesh Pal
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