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In this paper, we formulate a new generalized reference kernel hoping to improve the original base kernel using a set of reference vectors. Depending on the selected reference vectors, our formulation shows similarities to approximate…

Machine Learning · Computer Science 2022-05-05 Jenni Raitoharju , Alexandros Iosifidis

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

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

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…

Quantum Physics · Physics 2017-10-31 Rupak Chatterjee , Ting Yu

This work introduces the one-class slab SVM (OCSSVM), a one-class classifier that aims at improving the performance of the one-class SVM. The proposed strategy reduces the false positive rate and increases the accuracy of detecting…

Computer Vision and Pattern Recognition · Computer Science 2016-08-04 Victor Fragoso , Walter Scheirer , Joao Hespanha , Matthew Turk

Kernel-based support vector machines (SVMs) are supervised machine learning algorithms for classification and regression problems. We introduce a method to train SVMs on a D-Wave 2000Q quantum annealer and study its performance in…

Machine Learning · Computer Science 2021-01-27 Dennis Willsch , Madita Willsch , Hans De Raedt , Kristel Michielsen

Support Vector Machines (SVMs) are popular tools for data mining tasks such as classification, regression, and density estimation. However, original SVM (C-SVM) only considers local information of data points on or over the margin.…

Artificial Intelligence · Computer Science 2010-09-28 Xin Liu , Ying Ding , Forrest Sheng Bao

Support Vector Machines (SVMs) are still one of the most popular and precise classifiers. The Radial Basis Function (RBF) kernel has been used in SVMs to separate among classes with considerable success. However, there is an intrinsic…

Machine Learning · Computer Science 2020-07-17 Karl Thurnhofer-Hemsi , Ezequiel López-Rubio , Miguel A. Molina-Cabello , Kayvan Najarian

Support vector machine (SVM) is a well known binary linear classification model in supervised learning. This paper proposes a globalized distributionally robust chance-constrained (GDRC) SVM model based on core sets to address uncertainties…

Optimization and Control · Mathematics 2025-05-16 Yueyao Li , Chenglong Bao , Wenxun Xing

Support vector machines (SVM) and other kernel techniques represent a family of powerful statistical classification methods with high accuracy and broad applicability. Because they use all or a significant portion of the training data,…

Machine Learning · Statistics 2023-01-31 Peter Mills

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

We address the problem of model selection for Support Vector Machine (SVM) classification. For fixed functional form of the kernel, model selection amounts to tuning kernel parameters and the slack penalty coefficient $C$. We begin by…

Disordered Systems and Neural Networks · Physics 2007-05-23 Carl Gold , Peter Sollich

In the last few years, various types of machine learning algorithms, such as Support Vector Machine (SVM), Support Vector Regression (SVR), and Non-negative Matrix Factorization (NMF) have been introduced. The kernel approach is an…

Machine Learning · Computer Science 2022-12-16 Sajad Fathi Hafshejani , Zahra Moberfard

One-class support vector machine (OC-SVM) for a long time has been one of the most effective anomaly detection methods and extensively adopted in both research as well as industrial applications. The biggest issue for OC-SVM is yet the…

Machine Learning · Computer Science 2018-10-16 Minh-Nghia Nguyen , Ngo Anh Vien

Quantum computing, with its potential to enhance various machine learning tasks, allows significant advancements in kernel calculation and model precision. Utilizing the one-class Support Vector Machine alongside a quantum kernel, known for…

The Nystr\"om methods have been popular techniques for scalable kernel based learning. They approximate explicit, low-dimensional feature mappings for kernel functions from the pairwise comparisons with the training data. However, Nystr\"om…

Machine Learning · Computer Science 2018-05-21 Mert Al , Thee Chanyaswad , Sun-Yuan Kung

We propose one-class support measure machines (OCSMMs) for group anomaly detection which aims at recognizing anomalous aggregate behaviors of data points. The OCSMMs generalize well-known one-class support vector machines (OCSVMs) to a…

Machine Learning · Computer Science 2014-08-12 Krikamol Muandet , Bernhard Schoelkopf

We propose one-class support measure machines (OCSMMs) for group anomaly detection which aims at recognizing anomalous aggregate behaviors of data points. The OCSMMs generalize well-known one-class support vector machines (OCSVMs) to a…

Machine Learning · Statistics 2013-06-04 Krikamol Muandet , Bernhard Schölkopf

The least-squares support vector machine is a frequently used kernel method for non-linear regression and classification tasks. Here we discuss several approximation algorithms for the least-squares support vector machine classifier. The…

Machine Learning · Computer Science 2017-03-24 M. Andrecut

Restricted kernel machines (RKMs) have demonstrated a significant impact in enhancing generalization ability in the field of machine learning. Recent studies have introduced various methods within the RKM framework, combining kernel…

Machine Learning · Computer Science 2025-02-18 A. Quadir , M. Sajid , M. Tanveer
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