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In this paper, we propose another version of help-training approach by employing a Probabilistic Neural Network (PNN) that improves the performance of the main discriminative classifier in the semi-supervised strategy. We introduce the…

机器学习 · 计算机科学 2015-09-07 Hamidreza Farhidzadeh

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…

机器学习 · 计算机科学 2024-10-10 Junbo Jacob Lian

Support Vector Machine (SVM) algorithm requires a high computational cost (both in memory and time) to solve a complex quadratic programming (QP) optimization problem during the training process. Consequently, SVM necessitates high…

分布式、并行与集群计算 · 计算机科学 2023-11-28 Islam Elgarhy

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…

最优化与控制 · 数学 2025-07-15 Francesca Maggioni , Andrea Spinelli

The support vector machine (SVM) and deep learning (e.g., convolutional neural networks (CNNs)) are the two most famous algorithms in small and big data, respectively. Nonetheless, smaller datasets may be very important, costly, and not…

机器学习 · 计算机科学 2020-02-19 Wei-Chang Yeh

Quantum computing holds significant potential to accelerate machine learning algorithms, especially in solving optimization problems like those encountered in Support Vector Machine (SVM) training. However, current QUBO-based Quantum SVM…

机器学习 · 计算机科学 2025-03-21 Haoqi He , Yan Xiao

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…

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…

机器学习 · 计算机科学 2023-10-31 Anuradha Kumari , Mushir Akhtar , Rupal Shah , M. Tanveer

In this work we present a quadratic programming approximation of the Semi-Supervised Support Vector Machine (S3VM) problem, namely approximate QP-S3VM, that can be efficiently solved using off the shelf optimization packages. We prove that…

机器学习 · 计算机科学 2011-08-24 Wael Emara , Mehmed Kantardzic

When applying the support vector machine (SVM) to high-dimensional classification problems, we often impose a sparse structure in the SVM to eliminate the influences of the irrelevant predictors. The lasso and other variable selection…

机器学习 · 统计学 2008-02-22 Seongho Wu , Hui Zou , Ming Yuan

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

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

The support vector machine (SVM) is a powerful and widely used classification algorithm. This paper uses the Karush-Kuhn-Tucker conditions to provide rigorous mathematical proof for new insights into the behavior of SVM. These insights…

机器学习 · 统计学 2018-10-11 Iain Carmichael , J. S. Marron

This paper investigates the asymptotic behavior of the soft-margin and hard-margin support vector machine (SVM) classifiers for simultaneously high-dimensional and numerous data (large $n$ and large $p$ with $n/p\to\delta$) drawn from a…

信息论 · 计算机科学 2020-03-31 Abla Kammoun , Mohamed-Slim Alouini

Quantum machine learning is at the crossroads of two of the most exciting current areas of research; quantum computing and classical machine learning. It explores the interaction between quantum computing and machine learning, investigating…

量子物理 · 物理学 2021-12-14 Anekait Kariya , Bikash K. Behera

Diabetes Mellitus is a major health problem all over the world. Many classification algorithms have been applied for its diagnoses and treatment. In this paper, a hybrid algorithm of Modified-Particle Swarm Optimization and Least Squares-…

计算工程、金融与科学 · 计算机科学 2014-05-06 Omar S. Soliman , Eman AboElhamd

A quantile binary classifier uses the rule: Classify x as +1 if P(Y = 1|X = x) >= t, and as -1 otherwise, for a fixed quantile parameter t {[0, 1]. It has been shown that Support Vector Machines (SVMs) in the limit are quantile classifiers…

机器学习 · 计算机科学 2012-05-14 Jin Yu , S. V. N. Vishwanatan , Jian Zhang

The support vector machines (SVM) algorithm is a popular classification technique in data mining and machine learning. In this paper, we propose a distributed SVM algorithm and demonstrate its use in a number of applications. The algorithm…

机器学习 · 计算机科学 2019-05-02 Taiping He , Tao Wang , Ralph Abbey , Joshua Griffin

The support vector machine (SVM) is a supervised learning algorithm that finds a maximum-margin linear classifier, often after mapping the data to a high-dimensional feature space via the kernel trick. Recent work has demonstrated that in…

机器学习 · 统计学 2026-04-16 Chiraag Kaushik , Andrew D. McRae , Mark A. Davenport , Vidya Muthukumar

This paper addresses feature subset selection for Support Vector Machines (SVMs) based on the cross-validation criterion. Unlike statistical criteria such as the Akaike information criterion (AIC) and the Bayesian information criterion…

最优化与控制 · 数学 2026-05-11 Masaharu Mori , Shunnosuke Ikeda , Ryuta Tamura , Yuichi Takano , Ryuhei Miyashiro