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Open AccessJournal ArticleDOI

Choosing Multiple Parameters for Support Vector Machines

TLDR
The problem of automatically tuning multiple parameters for pattern recognition Support Vector Machines (SVMs) is considered by minimizing some estimates of the generalization error of SVMs using a gradient descent algorithm over the set of parameters.
Abstract
The problem of automatically tuning multiple parameters for pattern recognition Support Vector Machines (SVMs) is considered. This is done by minimizing some estimates of the generalization error of SVMs using a gradient descent algorithm over the set of parameters. Usual methods for choosing parameters, based on exhaustive search become intractable as soon as the number of parameters exceeds two. Some experimental results assess the feasibility of our approach for a large number of parameters (more than 100) and demonstrate an improvement of generalization performance.

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Proceedings ArticleDOI

Optimizing over Radial Kernels on Compact Manifolds

TL;DR: It is shown that positive definite radial kernels on the unit n-sphere, the Grassmann manifold and Kendall's shape manifold can be expressed in a simple form whose parameters can be automatically optimized within a support vector machine framework.
Journal ArticleDOI

Analysis of SVM regression bounds for variable ranking

TL;DR: Results show that the radius-margin criterion is the most efficient criterion for ranking variables and support the evidence that gradient-descent algorithm achieves a better variable ranking compared to backward algorithm.
Journal ArticleDOI

A multi-objective genetic algorithm for simultaneous model and feature selection for support vector machines

TL;DR: This paper aims to simultaneously optimize SVMs parameters and feature subset using different kernel functions using multi-objective genetic algorithm NSGA-II and shows the efficiency of the proposed method where features were reduced and the classification accuracy has been improved.
Journal ArticleDOI

Kernel-based Joint Feature Selection and Max-Margin Classification for Early Diagnosis of Parkinson's Disease.

TL;DR: This paper uses the data acquired from multi-modal neuroimaging data to diagnose PD by investigating the brain regions, known to be affected at the early stages, and proposes a joint kernel-based feature selection and classification framework.
Journal ArticleDOI

A Computational Study of Potential miRNA-Disease Association Inference Based on Ensemble Learning and Kernel Ridge Regression.

TL;DR: A novel prediction model named Ensemble of Kernel Ridge Regression based MiRNA-Disease Association prediction (EKRRMDA) was developed and there were 90% (Esophageal Neoplasms), 86% (Kidney Neoplasm), 98% (Lymphoma), and 96% (BreastNeoplasms) of the top 50 predicted miRNAs verified to have associations with these diseases.
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.

Statistical learning theory

TL;DR: Presenting a method for determining the necessary and sufficient conditions for consistency of learning process, the author covers function estimates from small data pools, applying these estimations to real-life problems, and much more.
Book

An Introduction to Support Vector Machines and Other Kernel-based Learning Methods

TL;DR: This is the first comprehensive introduction to Support Vector Machines (SVMs), a new generation learning system based on recent advances in statistical learning theory, and will guide practitioners to updated literature, new applications, and on-line software.
Journal ArticleDOI

Molecular classification of cancer: class discovery and class prediction by gene expression monitoring.

TL;DR: A generic approach to cancer classification based on gene expression monitoring by DNA microarrays is described and applied to human acute leukemias as a test case and suggests a general strategy for discovering and predicting cancer classes for other types of cancer, independent of previous biological knowledge.