Ensemble quantile classifier

Yuanhao Lai and Ian McLeod

Computational Statistics & Data Analysis, 2020, vol. 144, issue C

Abstract: Both the median-based classifier and the quantile-based classifier are useful for discriminating high-dimensional data with heavy-tailed or skewed inputs. But these methods are restricted as they assign equal weight to each variable in an unregularized way. The ensemble quantile classifier is a more flexible regularized classifier that provides better performance with high-dimensional data, asymmetric data or when there are many irrelevant extraneous inputs. The improved performance is demonstrated by a simulation study as well as an application to text categorization. It is proven that the estimated parameters of the ensemble quantile classifier consistently estimate the minimal population loss under suitable general model assumptions. It is also shown that the ensemble quantile classifier is Bayes optimal under suitable assumptions with asymmetric Laplace distribution inputs.

Keywords: Binary classification; Extraneous noise variables; High-dimensional discriminant analysis; Pattern recognition and machine learning; Sparsity; Text mining (search for similar items in EconPapers)
Date: 2020
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Persistent link: https://EconPapers.repec.org/RePEc:eee:csdana:v:144:y:2020:i:c:s016794731930204x

DOI: 10.1016/j.csda.2019.106849

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