MetaCartSign in to MyCiteSeer

Include Citations | Advanced Search | Help

Include Citations | Advanced Search | Help

  Support vector method for multivariate density estimation (2000) [20 citations — 0 self]

Download:
Download as a PDF | Download as a PS
by Vladimir N. Vapnik, Sayan Mukherjee
Advances in Neural Information Processing Systems
http://www.ai.mit.edu/people/sayan/webPub/nips.ps.Z
Add To MetaCart

Abstract:

A new method for multivariate density estimation is developed based on the Support Vector Method (SVM) solution of inverse ill-posed problems. The solution has the form of a mixture of densities. This method with Gaussian kernels compared favorably to both Parzen's method and the Gaussian Mixture Model method. For synthetic data we achieve more accurate estimates for densities of 2, 6, 12, and 40 dimensions. 1

Citations

4514 Statistical Learning Theory – Vapnik - 1998
163 Robust textindependent speaker identification using Gaussian mixture speaker models – Reynolds, Rose - 1995
105 On estimation of a probability density function and – Parzen - 1962
81 Methods of solving incorrectly posed problems – Morozov - 1984
77 Solution of incorrectly formulated problems and the regularization method – Tikhonov - 1963
5 Parametric density estimation for the classification of acoustic feature vectors in speech recognition – Basu, Micchelli - 1998
3 Multivariate density estimation: An svm approach – Mukherjee, Vapnik - 1999
3 Relationship of several variational methods for the approximate solution of ill-posed problems – Vasin - 1970
2 A technique for the numerical solution of integral equations of the first kind – Phillips - 1962
2 Nonparametric methods for restoring probability densities. Avtomatika i Telemekhanika – Vapnik, Stefanyuk - 1978
1 On multivariate kolmogorov-smirnov distribution – Paramasamy - 1992