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New Support Vector Algorithms

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TLDR
A new class of support vector algorithms for regression and classification that eliminates one of the other free parameters of the algorithm: the accuracy parameter in the regression case, and the regularization constant C in the classification case.
Abstract
We propose a new class of support vector algorithms for regression and classification. In these algorithms, a parameter ν lets one effectively control the number of support vectors. While this can be useful in its own right, the parameterization has the additional benefit of enabling us to eliminate one of the other free parameters of the algorithm: the accuracy parameter epsilon in the regression case, and the regularization constant C in the classification case. We describe the algorithms, give some theoretical results concerning the meaning and the choice of ν, and report experimental results.

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Citations
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Book

Kernel Methods for Pattern Analysis

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References
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Journal ArticleDOI

Linear dependency between /spl epsi/ and the input noise in /spl epsi/-support vector regression

TL;DR: The resultant predicted choice of /spl epsi/ is much closer to the experimentally observed optimal value, while again demonstrating a linear trend with the input noise.
Journal ArticleDOI

Formulations of Support Vector Machines: A Note from an Optimization Point of View

TL;DR: For two of the most popular SVM formulations, it is shown that one enjoys properties of exact penalty functions, but the other is only like traditional penalty functions which converge when the penalty parameter goes to infinity.
Journal ArticleDOI

Support vector machines for quality monitoring in a plastic injection molding process

TL;DR: Experimental results obtained thus far indicate improved generalization with the large margin classifier as well as better performance enhancing the strength and efficacy of the chosen model for the practical case study.
Proceedings Article

Semiparametric Support Vector and Linear Programming Machines

TL;DR: Two learning algorithms are extended - Support Vector machines and Linear Programming machines - to this case and experimental results for SV machines are given.
Journal ArticleDOI

On the generalization of soft margin algorithms

TL;DR: The paper answers the open question of whether the generalization of a classifier can be more tightly bounded in terms of a robust measure of the distribution of margin values in the affirmative and leads to bounds that motivate the previously heuristic soft margin SVM algorithms.