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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 Article

Conformal Multi-Instance Kernels

TL;DR: A kernel-based technique that defines a parametric family of kernels via conformal transformations and jointly learns a discriminant function over bags together with the optimal parameter settings of the kernel gives competitive accuracy for several multi-instance benchmark datasets from different domains.
Proceedings ArticleDOI

Contextual remote-sensing image classification by support vector machines and Markov random fields

TL;DR: A novel method is proposed to integrate support vector classification with Markov random field models for the spatial context, and is validated with multichannel SAR and multispectral high-resolution images.
Proceedings ArticleDOI

Fuzzy clustering with Multiple Kernels

TL;DR: The kernel fuzzy c-means clustering algorithm is extended to an adaptive cluster model which maps data points to a high dimensional feature space through an optimal convex combination of homogenous kernels with respect to each cluster.
Proceedings ArticleDOI

Optimization-Based Extreme Learning Machine with Multi-kernel Learning Approach for Classification

TL;DR: The performance analysis on binary classification problems with various scales shows that MK-ELM tends to achieve the best generalization performance as well as being the most insensitive to parameters comparing to optimization-based ELM and Simple MKL.
Journal ArticleDOI

Learning the coordinate gradients

TL;DR: A novel unifying framework for coordinate gradient learning from the perspective of multi-task learning is proposed and a novel gradient learning formulation which can be cast as a learning the kernel matrix problem is proposed.
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.