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Support Vector Machine (SVM) is powerful classification technique based on the idea of structural risk minimization. Use of kernel function enables curse of dimensionality to be addressed. However, proper kernel function for certain problem…

Machine Learning · Computer Science 2014-03-04 Arindam Chaudhuri

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

It is shown that bootstrap approximations of support vector machines (SVMs) based on a general convex and smooth loss function and on a general kernel are consistent. This result is useful to approximate the unknown finite sample…

Machine Learning · Statistics 2013-01-30 Andreas Christmann , Robert Hable

In conventional method, distributed support vector machines (SVM) algorithms are trained over pre-configured intranet/internet environments to find out an optimal classifier. These methods are very complicated and costly for large datasets.…

Machine Learning · Computer Science 2013-01-03 F. Ozgur Catak , M. Erdal Balaban

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

Neural support vector machines (NSVMs) allow for the incorporation of domain knowledge in the design of the model architecture. In this article we introduce a set of training algorithms for NSVMs that leverage the Pegasos algorithm and…

Machine Learning · Computer Science 2023-08-15 Lars Simon , Manuel Radons

Support vector machines (SVMs) are an extremely successful type of classification and regression algorithms. Building an SVM entails solving a constrained convex quadratic programming problem, which is quadratic in the number of training…

Machine Learning · Computer Science 2008-11-15 Danny Bickson , Elad Yom-Tov , Danny Dolev

Distance metric learning aims to learn from the given training data a valid distance metric, with which the similarity between data samples can be more effectively evaluated for classification. Metric learning is often formulated as a…

Machine Learning · Computer Science 2015-02-03 Wangmeng Zuo , Faqiang Wang , David Zhang , Liang Lin , Yuchi Huang , Deyu Meng , Lei Zhang

We describe in a rudimentary fashion how SVM(support vector machine) plays the role of classifier in a mathematical setting. We then discuss its application in the study of multiple SNP(single nucleotide polymorphism) variations. Also…

Optimization and Control · Mathematics 2025-10-20 Seung-chan Ahn , Gene Kim , MyungHo Kim

We propose several novel methods for enhancing the multi-class SVMs by applying the generalization performance of binary classifiers as the core idea. This concept will be applied on the existing algorithms, i.e., the Decision Directed…

Machine Learning · Computer Science 2013-09-12 Patoomsiri Songsiri , Thimaporn Phetkaew , Boonserm Kijsirikul

Supervised machine learning is the classification of new data based on already classified training examples. In this work, we show that the support vector machine, an optimized binary classifier, can be implemented on a quantum computer,…

Quantum Physics · Physics 2014-10-01 Patrick Rebentrost , Masoud Mohseni , Seth Lloyd

We investigate the relation of two fundamental tools in machine learning and signal processing, that is the support vector machine (SVM) for classification, and the Lasso technique used in regression. We show that the resulting optimization…

Machine Learning · Computer Science 2014-04-28 Martin Jaggi

The training of Support Vector Machines may be a very difficult task when dealing with very large datasets. The memory requirement and the time consumption of the SVMs algorithms grow rapidly with the increase of the data. To overcome these…

Optimization and Control · Mathematics 2015-11-04 Andrea Manno , Laura Palagi , Simone Sagratella

The kernel support vector machine (SVM) is one of the most widely used classification methods; however, the amount of computation required becomes the bottleneck when facing millions of samples. In this paper, we propose and analyze a novel…

Machine Learning · Computer Science 2013-11-06 Cho-Jui Hsieh , Si Si , Inderjit S. Dhillon

In this paper there is proposed a generalized version of the SVM for binary classification problems in the case of using an arbitrary transformation x -> y. An approach similar to the classic SVM method is used. The problem is widely…

Machine Learning · Computer Science 2014-04-16 E. G. Abramov , A. B. Komissarov , D. A. Kornyakov

Support vector machines represent a promising development in machine learning research that is not widely used within the remote sensing community. This paper reports the results of Multispectral(Landsat-7 ETM+) and Hyperspectral DAIS)data…

Neural and Evolutionary Computing · Computer Science 2009-11-13 Mahesh Pal , Paul M. Mather

For a learning task, data can usually be collected from different sources or be represented from multiple views. For example, laboratory results from different medical examinations are available for disease diagnosis, and each of them can…

Machine Learning · Computer Science 2018-03-28 Bokai Cao , Hucheng Zhou , Guoqiang Li , Philip S. Yu

It is known that the classification performance of Support Vector Machine (SVM) can be conveniently affected by the different parameters of the kernel tricks and the regularization parameter, C. Thus, in this article, we propose a study in…

Computation and Language · Computer Science 2015-07-23 Rimah Amami , Dorra Ben Ayed , Noureddine Ellouze

We study the typical learning properties of the recently proposed Support Vectors Machines. The generalization error on linearly separable tasks, the capacity, the typical number of Support Vectors, the margin, and the robustness or noise…

Disordered Systems and Neural Networks · Physics 2007-05-23 A. Buhot , Mirta B. Gordon

Support vector machines (SVMs) rely on the inherent geometry of a data set to classify training data. Because of this, we believe SVMs are an excellent candidate to guide the development of an analytic feature selection algorithm, as…

Machine Learning · Computer Science 2013-04-23 Carly Stambaugh , Hui Yang , Felix Breuer
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