@article{54eadf3ae8e5486bbade714ee35b0dc1,
title = "A kernel-based parametric method for conditional density estimation",
abstract = "A conditional density function, which describes the relationship between response and explanatory variables, plays an important role in many analysis problems. In this paper, we propose a new kernel-based parametric method to estimate conditional density. An exponential function is employed to approximate the unknown density, and its parameters are computed from the given explanatory variable via a nonlinear mapping using kernel principal component analysis (KPCA). We develop a new kernel function, which is a variant to polynomial kernels, to be used in KPCA. The proposed method is compared with the NadarayaWatson estimator through numerical simulation and practical data. Experimental results show that the proposed method outperforms the NadarayaWatson estimator in terms of revised mean integrated squared error (RMISE). Therefore, the proposed method is an effective method for estimating the conditional densities.",
keywords = "Conditional density estimation, Kernel function, Kernel principal component analysis, NadarayaWatson estimator",
author = "Gang Fu and Frank Shih and Haimin Wang",
note = "Funding Information: This work is supported by the National Science Foundation (NSF) under Grants IIS-0324816 and ATM-0716950 . Funding Information: Frank Y. Shih received his Ph.D. from the Purdue University. He is presently a full professor in the CS Department, New Jersey Institute of Technology, USA, and the Director of Computer Vision Laboratory. Dr. Shih held a visiting professor position at the Princeton University, Columbia University, National Taiwan University, National Institute of Informatics, Tokyo, and Conservatoire National Des Arts Et Metiers, Paris. He is an internationally well-known scholar and serves as the Editor-in-Chief for the International Journal of Multimedia Intelligence and Security. In addition, he is on the Editorial Board of the International Journal of Pattern Recognition, the International Journal of Pattern Recognition Letters, the International Journal of Pattern Recognition and Artificial Intelligence, the International Journal of Recent Patents on Engineering, the International Journal of Recent Patents on Computer Science, the International Journal of Internet Protocol Technology, and the Journal of Internet Technology. He served as a steering member, committee member, and session chair for numerous professional conferences and workshops. He has received numerous grants from the National Science Foundation, Navy and Air Force, and Industry. He is the recipient of Research Initiation Award of NSF in 1991 and Board of Overseers Excellence in Research Award of NJIT in 2009. ",
year = "2011",
month = feb,
doi = "10.1016/j.patcog.2010.08.027",
language = "English (US)",
volume = "44",
pages = "284--294",
journal = "Pattern Recognition",
issn = "0031-3203",
publisher = "Elsevier Limited",
number = "2",
}