Part of Advances in Neural Information Processing Systems 12 (NIPS 1999)
Vladimir Vapnik, Sayan Mukherjee
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 den(cid:173) sities. 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.