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相关论文: Support Vector Machines with Applications

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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…

最优化与控制 · 数学 2021-04-06 Huajun Wang , Yuanhai Shao , Shenglong Zhou , Ce Zhang , Naihua Xiu

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

Support vector machines (SVMs) are well-studied supervised learning models for binary classification. In many applications, large amounts of samples can be cheaply and easily obtained. What is often a costly and error-prone process is to…

最优化与控制 · 数学 2024-12-20 Veronica Piccialli , Jan Schwiddessen , Antonio M. Sudoso

In many applications, input data are sampled functions taking their values in infinite dimensional spaces rather than standard vectors. This fact has complex consequences on data analysis algorithms that motivate modifications of them. In…

统计理论 · 数学 2007-05-23 Fabrice Rossi , Nathalie Villa

Support vector machines (SVMs) are widely used and constitute one of the best examined and used machine learning models for two-class classification. Classification in SVM is based on a score procedure, yielding a deterministic…

机器学习 · 统计学 2023-10-11 Sandra Benítez-Peña , Rafael Blanquero , Emilio Carrizosa , Pepa Ramírez-Cobo

Support Vector Machines (SVMs) with various kernels have played dominant role in machine learning for many years, finding numerous applications. Although they have many attractive features interpretation of their solutions is quite…

机器学习 · 计算机科学 2019-01-29 Tomasz Maszczyk , Włodzisław Duch

Advances in statistical learning theory present the opportunity to develop statistical models of quantum many-body systems exhibiting remarkable predictive power. The potential of such ``theory-thin'' approaches is illustrated with the…

核理论 · 物理学 2008-11-26 John W. Clark , Haochen Li

Support Vector Machines (SVMs) are among the most popular classification techniques adopted in security applications like malware detection, intrusion detection, and spam filtering. However, if SVMs are to be incorporated in real-world…

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…

机器学习 · 计算机科学 2022-09-19 Henry Adams , Elin Farnell , Brittany Story

Support vector machines (SVM) can classify data sets along highly non-linear decision boundaries because of the kernel-trick. This expressiveness comes at a price: During test-time, the SVM classifier needs to compute the kernel…

机器学习 · 计算机科学 2015-02-03 Zhixiang Xu , Jacob R. Gardner , Stephen Tyree , Kilian Q. Weinberger

Support vector machine (SVM) is a popular classifier known for accuracy, flexibility, and robustness. However, its intensive computation has hindered its application to large-scale datasets. In this paper, we propose a new optimal leverage…

统计方法学 · 统计学 2023-08-25 Yixin Han , Jun Yu , Nan Zhang , Cheng Meng , Ping Ma , Wenxuan Zhong , Changliang Zou

Support vector machine (SVM) is a well-known statistical technique for classification problems in machine learning and other fields. An important question for SVM is the selection of covariates (or features) for the model. Many studies have…

统计方法学 · 统计学 2022-02-22 Jiahui Zou , Chaoxia Yuan , Xinyu Zhang , Guohua Zou , Alan T. K. Wan

We have made initial studies of the potential of support vector machines (SVM) for providing statistical models of nuclear systematics with demonstrable predictive power. Using SVM regression and classification procedures, we have created…

核理论 · 物理学 2007-05-23 Haochen Li , J. W. Clark , E. Mavrommatis , S. Athanassopoulos , K. A. Gernoth

Support Vector Machines (SVMs) are a relatively new supervised classification technique to the land cover mapping community. They have their roots in Statistical Learning Theory and have gained prominence because they are robust, accurate…

机器学习 · 计算机科学 2007-09-26 Gidudu Anthony , Hulley Greg , Marwala Tshilidzi

Disease classification is a crucial element of biomedical research. Recent studies have demonstrated that machine learning techniques, such as Support Vector Machine (SVM) modeling, produce similar or improved predictive capabilities in…

机器学习 · 统计学 2017-08-02 Jessica M. Rudd

The soft-margin support vector machine (SVM) is a ubiquitous tool for prediction of binary-response data. However, the SVM is characterized entirely via a numerical optimization problem, rather than a probability model, and thus does not…

统计方法学 · 统计学 2020-07-24 Hien D Nguyen , Daniel V Fryer

Support vector machine (SVM) has been one of the most popular learning algorithms, with the central idea of maximizing the minimum margin, i.e., the smallest distance from the instances to the classification boundary. Recent theoretical…

机器学习 · 计算机科学 2020-07-07 Teng Zhang , Zhi-Hua Zhou

Support vector machine (SVM) is a particularly powerful and flexible supervised learning model that analyzes data for both classification and regression, whose usual algorithm complexity scales polynomially with the dimension of data space…

机器学习 · 计算机科学 2023-03-08 Chen Ding , Tian-Yi Bao , He-Liang Huang

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

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…

计算机视觉与模式识别 · 计算机科学 2011-01-18 Mahesh Pal