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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

This paper presents a review on methods for class-imbalanced learning with the Support Vector Machine (SVM) and its variants. We first explain the structure of SVM and its variants and discuss their inefficiency in learning with…

Machine Learning · Computer Science 2024-07-23 Salim Rezvani , Farhad Pourpanah , Chee Peng Lim , Q. M. Jonathan Wu

Support vector machine (SVM) is a powerful machine learning algorithm to handle classification tasks. However, the classical SVM is developed for binary problems with the assumption of balanced datasets. Obviously, the multi-class…

Machine Learning · Computer Science 2025-02-21 Zhong-Liang Zhang , Jie Yang , Jian-Ming Ru , Xiao-Xi Zhao , Xing-Gang Luo

This paper deals with an extension of the Support Vector Machine (SVM) for classification problems where, in addition to maximize the margin, i.e., the width of strip defined by the two supporting hyperplanes, the minimum of the ordered…

Optimization and Control · Mathematics 2021-07-15 Alfredo Marín , Luisa I. Martínez-Merino , Justo Puerto , Antonio M. Rodríguez-Chía

The parameters of support vector machines (SVMs) such as the penalty parameter and the kernel parameters have a great impact on the classification accuracy and the complexity of the SVM model. Therefore, the model selection in SVM involves…

Machine Learning · Computer Science 2020-07-13 Alaa Tharwat

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

Support vector machine (SVM) has attracted great attentions for the last two decades due to its extensive applications, and thus numerous optimization models have been proposed. To distinguish all of them, in this paper, we introduce a new…

Optimization and Control · Mathematics 2021-04-06 Huajun Wang , Yuanhai Shao , Shenglong Zhou , Ce Zhang , Naihua Xiu

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

In real-world applications, class-imbalanced datasets pose significant challenges for machine learning algorithms, such as support vector machines (SVMs), particularly in effectively managing imbalance, noise, and outliers. Fuzzy support…

Machine Learning · Computer Science 2025-01-15 M. Tanveer , Anushka Tiwari , Mushir Akhtar , C. T. Lin

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

Support vector machines (SVMs) are powerful supervised learning tools developed to solve classification problems. However, SVMs are likely to perform poorly in the classification of imbalanced data. The rough set theory presents a…

Machine Learning · Computer Science 2021-05-25 Maysam Behmanesh , Peyman Adibi , Hossein Karshenas

Support Vector Machine (SVM) is a powerful tool in binary classification, known to attain excellent misclassification rates. On the other hand, many realworld classification problems, such as those found in medical diagnosis, churn or fraud…

Machine Learning · Statistics 2023-12-25 Sandra Benítez-Peña , Rafael Blanquero , Emilio Carrizosa , Pepa Ramírez-Cobo

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

In traditional boosting algorithms, the focus on misclassified training samples emphasizes their importance based on difficulty during the learning process. While using a standard Support Vector Machine (SVM) as a weak learner in an…

Machine Learning · Computer Science 2024-10-10 Junbo Jacob Lian

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…

Machine Learning · Statistics 2026-04-09 Haiyan Du , Hu Yang

Support vector machines (SVMs) are popular learning algorithms to deal with binary classification problems. They traditionally assume equal misclassification costs for each class; however, real-world problems may have an uneven class…

Machine Learning · Computer Science 2022-04-22 Alejandro Rosales-Pérez , Salvador García , Francisco Herrera

Existing support vector machines(SVM) models are sensitive to noise and lack sparsity, which limits their performance. To address these issues, we combine the elastic net loss with a robust loss framework to construct a sparse…

Machine Learning · Statistics 2026-04-10 Haiyan Du , Hu Yang

In this paper we propose novel methodologies to construct Support Vector Machine -based classifiers that takes into account that label noises occur in the training sample. We propose different alternatives based on solving Mixed Integer…

Machine Learning · Computer Science 2020-04-22 Víctor Blanco , Alberto Japón , Justo Puerto

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…

Machine Learning · Computer Science 2020-03-26 Hoda Shajari , Anand Rangarajan

Class imbalance is a major problem in many real world classification tasks. Due to the imbalance in the number of samples, the support vector machine (SVM) classifier gets biased toward the majority class. Furthermore, these samples are…

Machine Learning · Computer Science 2023-09-29 M. Tanveer , Ritik Mishra , Bharat Richhariya
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