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Open AccessJournal ArticleDOI

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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Proceedings Article

Incremental Sparsification for Real-time Online Model Learning

TL;DR: The proposed approach combines a sparsification method based on an independence measure with a large scale database and an incremental learning approach such as sequential support vector regression to obtain a regression method which is applicable in real-time online learning.
Dissertation

Sampling Inequalities and Applications

TL;DR: In this paper, sampling inequalities of this kind are used to derive a priori error estimates for various regularized approximation problems as they occur for instance in machine learning algorithms or PDE solvers.
Proceedings ArticleDOI

A SVR based forecasting approach for real estate price prediction

TL;DR: The experimental results demonstrate that based on the meanabsolute error (MAE), the mean absolute percentage error (MAPE) and the root mean squared error (RMSE), the SVR model outperforms the BPNN model and the S VR based approach was an efficient tool to forecast real estate prices.
Journal ArticleDOI

The performance of ν-support vector regression on determination of soluble solids content of apple by acousto-optic tunable filter near-infrared spectroscopy

TL;DR: In this paper, a support vector regression (ν-SVR) was used to construct the calibration model between soluble solids content (SSC) of apples and acousto-optic tunable filter near-infrared (AOTF-NIR) spectra.
Book

Transformation Knowledge in Pattern Analysis with Kernel Methods: Distance and Integration Kernels

TL;DR: This thesis focusses on a certain kind of a-priori knowledge namely transformation knowledge, which comprises explicit knowledge of pattern variations that do not or only slightly change the pattern’s inherent meaning e.g. rigid movements of 2D/3D objects or transformations, which is generally required for being usable in kernel methods.
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