Vidal's libraryTitle: | A Tutorial on Support Vector Machines for Pattern Recognition |
Author: | Christopher J. C. Burges |
Journal: | Data Mining and Knowledge Discovery |
Volume: | 2 |
Number: | 2 |
Pages: | 121--167 |
Year: | 1998 |
Abstract: | The tutorial starts with an overview of the concepts of VC dimension and structural risk minimization. We then describe linear Support Vector Machines (SVMs) for separable and non-separable data, working through a non-trivial example in detail. We describe a mechanical analogy, and discuss when SVM solutions are unique and when they are global. We describe how support vector training can be practically implemented, and discuss in detail the kernel mapping technique which is used to construct SVM solutions which are nonlinear in the data. We show how Support Vector machines can have very large (even infinite) VC dimension by computing the VC dimension for homogeneous polynomial and Gaussian radial basis function kernels. While very high VC dimension would normally bode ill for generalization performance, and while at present there exists no theory which shows that good generalization performance is guaranteed for SVMs, there are several arguments which support the observed high accuracy of SVMs, which we review. Results of some experiments which were inspired by these arguments are also presented. We give numerous examples and proofs of most of the key theorems. There is new material, and I hope that the reader will find that even old material is cast in a fresh light. |
Cited by 2342 - Google Scholar
@article{ burges98a,
author = {Christopher J. C. Burges},
title = {A Tutorial on Support Vector Machines for Pattern
Recognition},
journal = {Data Mining and Knowledge Discovery},
volume = 2,
number = 2,
pages = "121--167",
year = 1998,
abstract = {The tutorial starts with an overview of the concepts
of VC dimension and structural risk minimization. We
then describe linear Support Vector Machines (SVMs)
for separable and non-separable data, working
through a non-trivial example in detail. We describe
a mechanical analogy, and discuss when SVM solutions
are unique and when they are global. We describe how
support vector training can be practically
implemented, and discuss in detail the kernel
mapping technique which is used to construct SVM
solutions which are nonlinear in the data. We show
how Support Vector machines can have very large
(even infinite) VC dimension by computing the VC
dimension for homogeneous polynomial and Gaussian
radial basis function kernels. While very high VC
dimension would normally bode ill for generalization
performance, and while at present there exists no
theory which shows that good generalization
performance is guaranteed for SVMs, there are
several arguments which support the observed high
accuracy of SVMs, which we review. Results of some
experiments which were inspired by these arguments
are also presented. We give numerous examples and
proofs of most of the key theorems. There is new
material, and I hope that the reader will find that
even old material is cast in a fresh light.},
keywords = {learning survey},
url = {http://jmvidal.cse.sc.edu/library/burges98a.pdf},
citeseer = {burges98tutorial.html},
googleid = {ib5C_Mf4RUgJ:scholar.google.com/},
cluster = 5207842081938259593
}
Last modified: Wed Mar 9 10:14:31 EST 2011