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The aim of this paper is to investigate an attempt to build a binary classification algorithm using principles of geometry such as vectors, planes, and vector algebra. The basic idea behind the proposed algorithm is that a hyperplane can be…

Machine Learning · Computer Science 2025-03-04 Vatsal Srivastava

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

In this paper, we consider the binary classification problem via distributed Support-Vector-Machines (SVM), where the idea is to train a network of agents, with limited share of data, to cooperatively learn the SVM classifier for the global…

Systems and Control · Electrical Eng. & Systems 2021-04-02 Mohammadreza Doostmohammadian , Alireza Aghasi , Themistoklis Charalambous , Usman A. Khan

Feature selection is a critical step in the analysis of high-dimensional data, where the number of features often vastly exceeds the number of samples. Effective feature selection not only improves model performance and interpretability but…

Machine Learning · Computer Science 2025-01-27 Raquel Espinosa , Gracia Sánchez , José Palma , Fernando Jiménez

With the advancement of communication and security technologies, it has become crucial to have robustness of embedded biometric systems. This paper presents the realization of such technologies which demands reliable and error-free…

Computer Vision and Pattern Recognition · Computer Science 2012-04-20 Aamir Khan , Muhammad Farhan , Asar Ali

In this article, a large dimensional performance analysis of kernel least squares support vector machines (LS-SVMs) is provided under the assumption of a two-class Gaussian mixture model for the input data. Building upon recent advances in…

Machine Learning · Statistics 2021-03-18 Zhenyu Liao , Romain Couillet

There have been several attempts to develop Feature Selection (FS) algorithms capable of identifying features that are relevant in a dataset. Although in certain applications the FS algorithms can be seen to be successful, they have similar…

Machine Learning · Computer Science 2025-03-18 Andrew Starkey , Uduak Idio Akpan , Omaimah AL Hosni , Yaseen Pullissery

Analyzing large datasets to select optimal features is one of the most important research areas in machine learning and data mining. This feature selection procedure involves dimensionality reduction which is crucial in enhancing the…

Neural and Evolutionary Computing · Computer Science 2024-09-24 Zhila Yaseen Taha , Abdulhady Abas Abdullah , Tarik A. Rashid

The goal of feature selection is to choose the optimal subset of features for a recognition task by evaluating the importance of each feature, thereby achieving effective dimensionality reduction. Currently, proposed feature selection…

Machine Learning · Computer Science 2024-02-27 Zhenxing Zhang , Jun Ge , Zheng Wei , Chunjie Zhou , Yilei Wang

We show how, using linear-algebraic tools developed to prove Tverberg's theorem in combinatorial geometry, we can design new models of multi-class support vector machines (SVMs). These supervised learning protocols require fewer conditions…

Machine Learning · Computer Science 2024-04-26 Pablo Soberón

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

Subset selection in multiple linear regression aims to choose a subset of candidate explanatory variables that tradeoff fitting error (explanatory power) and model complexity (number of variables selected). We build mathematical programming…

Machine Learning · Statistics 2020-09-04 Young Woong Park , Diego Klabjan

The support vector machines (SVM) is a powerful classifier used for binary classification to improve the prediction accuracy. However, the non-differentiability of the SVM hinge loss function can lead to computational difficulties in high…

Machine Learning · Statistics 2023-03-17 Rachid Kharoubi , Abdallah Mkhadri , Karim Oualkacha

The Intelligent Fault Diagnosis of rotating machinery currently proposes some captivating challenges. Although results achieved by artificial intelligence and deep learning constantly improve, this field is characterized by several open…

Signal Processing · Electrical Eng. & Systems 2022-07-26 Eugenio Brusa , Cristiana Delprete , Luigi Gianpio Di Maggio

Feature extraction is a critical technology to realize the automatic transmission of feature information throughout product life cycles. As CAD models primarily capture the 3D geometry of products, feature extraction heavily relies on…

Computer Vision and Pattern Recognition · Computer Science 2024-06-28 Peng Xu , Qi Gao , Ying-Jie Wu

Training a Support Vector Machine (SVM) requires the solution of a quadratic programming problem (QP) whose computational complexity becomes prohibitively expensive for large scale datasets. Traditional optimization methods cannot be…

Machine Learning · Computer Science 2014-01-29 Emanuele Frandi , Ricardo Nanculef , Maria Grazia Gasparo , Stefano Lodi , Claudio Sartori

We introduce an algorithm which, in the context of nonlinear regression on vector-valued explanatory variables, chooses those combinations of vector components that provide best prediction. The algorithm devotes particular attention to…

Methodology · Statistics 2014-02-03 Frédéric Ferraty , Peter Hall

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…

Machine Learning · Statistics 2015-07-24 Mona Eberts , Ingo Steinwart

Optimization of convex functions subject to eigenvalue constraints is intriguing because of peculiar analytical properties of eigenvalues, and is of practical interest because of wide range of applications in fields such as structural…

Numerical Analysis · Mathematics 2013-10-08 Emre Mengi

In the field of human-computer interaction (HCI), the usability assessment of m-learning (mobile-learning) applications is a real challenge. Such assessment typically involves extraction of the best features of an application like…

Human-Computer Interaction · Computer Science 2024-04-26 Muhammad Asghar , Imran Sarwar Bajwa , Shabana Ramzan , Hina Afreen , Saima Abdullah