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Mean Absolute Percentage Error for regression models
Open accessAbstract
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.
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Cites
Boyd, S., & Vandenberghe, L. (2004) · doi:10.1017/cbo9780511804441 · Cited by 56,601
Robust estimation of a location parameter
Huber, P. J. (1964) · The Annals of Mathematical Statistics · doi:10.1214/aoms/1177703732 · Cited by 7,228
Cited by
Chicco, D., Warrens, M. J., & Jurman, G. (2021) · PeerJ Computer Science · doi:10.7717/peerj-cs.623 · Cited by 5,380
Alibrahim, H., & Ludwig, S. A. (2021) · 2021 IEEE Congress on Evolutionary Computation (CEC) · doi:10.1109/cec45853.2021.9504761 · Cited by 489
Stock market index prediction using deep Transformer model
Wang, C., Chen, Y., Zhang, S., & Zhang, Q. (2022) · Expert Systems with Applications · doi:10.1016/j.eswa.2022.118128 · Cited by 367
Forecasting Error Calculation with Mean Absolute Deviation and Mean Absolute Percentage Error
Khair, U., Fahmi, H., Hakim, S. A., & Rahim, R. (2017) · Journal of Physics: Conference Series · doi:10.1088/1742-6596/930/1/012002 · Cited by 319
Boukerche, A., Tao, Y., & Sun, P. (2020) · Computer Networks · doi:10.1016/j.comnet.2020.107484 · Cited by 215
Metadata
- Authors
- de Myttenaere, A., Golden, B., Le Grand, B., & Rossi, F.
- Venue
- Neurocomputing
- Publisher
- Elsevier BV
- Published
- 2016-06
- Volume
- 192
- Pages
- 38-48
- ISSN
- 0925-2312 (ISSN-L)
- OpenAlex
- W2296609147
- Cited by
- 1,502
- References
- 2
- FWCI
- 30.43
- Type
- journal article
- Language
- en
- Open access
- green
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- de Myttenaere, A., Golden, B., Le Grand, B., & Rossi, F. (2016). Mean Absolute Percentage Error for regression models. Neurocomputing. https://doi.org/10.1016/j.neucom.2015.12.114
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Contains information from the Semantic Scholar Academic Graph Datasets, made available under the ODC Attribution License (ODC-BY 1.0).
Semantic Scholar’s data is described in: Kinney, R., et al. (2023). The Semantic Scholar Open Data Platform. arXiv:2301.10140.
