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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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Journal ArticleDOI

Sparse support vector regression based on orthogonal forward selection for the generalised kernel model

TL;DR: This paper considers sparse regression modelling using a generalised kernel model in which each kernel regressor has its individually tuned centre vector and diagonal covariance matrix and sparser representation can be obtained.
Journal ArticleDOI

A Geometric Nearest Point Algorithm for the Efficient Solution of the SVM Classification Task

TL;DR: The incorporation of recent results in reduced convex hulls to a nearest point algorithm (NPA) leads to an elegant and efficient solution to the SVM classification task, with encouraging practical results to real-world classification problems.
Journal ArticleDOI

Support Vector Machine Accuracy Assessment for Extracting Green Urban Areas in Towns

TL;DR: Two different towns in Croatia were investigated, and the results provide an optimal combination of parameters for green urban areas extraction with an overall kappa index of 0.87 and 0.89, which demonstrates a very high classification accuracy.
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Microgrid Energy Management Systems Design by Computational Intelligence Techniques

TL;DR: Different lightweight EMS models synthesized through machine learning algorithms have been compared considering six different simulation scenarios and it shows that an RTH-based EMS owns the best overall performances.
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Efficient hyperkernel learning using second-order cone programming

TL;DR: This paper shows that this kernel function learning problem can be equivalently reformulated as a second-order cone program (SOCP), which can then be solved more efficiently than SDPs.
References
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Book

The Nature of Statistical Learning Theory

TL;DR: Setting of the learning problem consistency of learning processes bounds on the rate of convergence ofLearning processes controlling the generalization ability of learning process constructing learning algorithms what is important in learning theory?
Journal ArticleDOI

Support-Vector Networks

TL;DR: High generalization ability of support-vector networks utilizing polynomial input transformations is demonstrated and the performance of the support- vector network is compared to various classical learning algorithms that all took part in a benchmark study of Optical Character Recognition.
Book

Matrix Analysis

TL;DR: In this article, the authors present results of both classic and recent matrix analyses using canonical forms as a unifying theme, and demonstrate their importance in a variety of applications, such as linear algebra and matrix theory.
Journal ArticleDOI

A Tutorial on Support Vector Machines for Pattern Recognition

TL;DR: There are several arguments which support the observed high accuracy of SVMs, which are reviewed and numerous examples and proofs of most of the key theorems are given.
Book

Nonlinear Programming