CUED Publications database

Kernel conditional quantile estimation via reduction revisited

Quadrianto, N and Kersting, K and Reid, MD and Caetano, TS and Buntine, WL (2009) Kernel conditional quantile estimation via reduction revisited. Proceedings - IEEE International Conference on Data Mining, ICDM. pp. 938-943. ISSN 1550-4786

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Abstract

Quantile regression refers to the process of estimating the quantiles of a conditional distribution and has many important applications within econometrics and data mining, among other domains. In this paper, we show how to estimate these conditional quantile functions within a Bayes risk minimization framework using a Gaussian process prior. The resulting non-parametric probabilistic model is easy to implement and allows non-crossing quantile functions to be enforced. Moreover, it can directly be used in combination with tools and extensions of standard Gaussian Processes such as principled hyperparameter estimation, sparsification, and quantile regression with input-dependent noise rates. No existing approach enjoys all of these desirable properties. Experiments on benchmark datasets show that our method is competitive with state-of-the-art approaches. © 2009 IEEE.

Item Type: Article
Uncontrolled Keywords: Gaussian processes Quantile regression Regression
Subjects: UNSPECIFIED
Divisions: Div F > Computational and Biological Learning
Depositing User: Cron Job
Date Deposited: 07 Mar 2014 11:49
Last Modified: 08 Dec 2014 02:27
DOI: 10.1109/ICDM.2009.82