Title
Mean Absolute Percentage Error for regression models.
Abstract
We study in this paper the consequences of using the Mean Absolute Percentage Error (MAPE) as a measure of quality for regression models. We prove the existence of an optimal MAPE model and we show the universal consistency of Empirical Risk Minimization based on the MAPE. We also show that finding the best model under the MAPE is equivalent to doing weighted Mean Absolute Error (MAE) regression, and we apply this weighting strategy to kernel regression. The behavior of the MAPE kernel regression is illustrated on simulated data.
Year
DOI
Venue
2016
10.1016/j.neucom.2015.12.114
Neurocomputing
Keywords
Field
DocType
Mean Absolute Percentage Error,Empirical Risk Minimization,Consistency,Optimization,Kernel regression
Econometrics,Mean absolute percentage error,Weighting,Symmetric mean absolute percentage error,Regression,Regression analysis,Empirical risk minimization,Statistics,Mathematics,Kernel regression,Approximation error
Journal
Volume
ISSN
Citations 
192
0925-2312
22
PageRank 
References 
Authors
1.08
0
4
Name
Order
Citations
PageRank
Arnaud De Myttenaere1272.74
Boris Golden2272.74
Bénédicte Le Grand312618.50
Fabrice Rossi4283.09