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Mean Absolute Percentage Error for regression models

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TLDR
It is proved the existence of an optimal MAPE model and the universal consistency of Empirical Risk Minimization based on the MAPE is shown, and it is shown that finding the best model under theMAPE is equivalent to doing weighted Mean Absolute Error regression, and this weighting strategy is applied to kernel regression.
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This article is published in Neurocomputing.The article was published on 2016-06-05 and is currently open access. It has received 619 citations till now. The article focuses on the topics: Symmetric mean absolute percentage error & Mean absolute percentage error.

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Citations
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Prediction of undrained shear strength using extreme gradient boosting and random forest based on Bayesian optimization

TL;DR: Novel data-driven extreme gradient boosting (XGBoost) and random forest ensemble learning methods are applied for capturing the relationships between the USS and various basic soil parameters to predict undrained shear strength of soft clays.
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CatBoost for big data: an interdisciplinary review

TL;DR: This survey takes an interdisciplinary approach to cover studies related to CatBoost in a single work, and provides researchers an in-depth understanding to help clarify proper application of Cat boost in solving problems.
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A review of the-state-of-the-art in data-driven approaches for building energy prediction

TL;DR: This paper provides a comprehensive review on building energy prediction, covering the entire data-driven process that includes feature engineering, potential data- driven models and expected outputs, and concludes with some potential future research directions based on discussion of existing research gaps.
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Extraction of mechanical properties of materials through deep learning from instrumented indentation

TL;DR: A multifidelity approach whereby deep-learning algorithms are trained to extract elastoplastic properties of metals and alloys from instrumented indentation results using multiple datasets for desired levels of improved accuracy and accuracy is utilized.
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Forecasting Error Calculation with Mean Absolute Deviation and Mean Absolute Percentage Error

TL;DR: In this paper, the use of the Mean Absolute Deviation and Mean Absolute Percentage Error to calculate the percentage of mistakes in the least square method resulted in a percentage of 9.77%.
References
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Book

Convex Optimization

TL;DR: In this article, the focus is on recognizing convex optimization problems and then finding the most appropriate technique for solving them, and a comprehensive introduction to the subject is given. But the focus of this book is not on the optimization problem itself, but on the problem of finding the appropriate technique to solve it.
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Robust Estimation of a Location Parameter

TL;DR: In this article, a new approach toward a theory of robust estimation is presented, which treats in detail the asymptotic theory of estimating a location parameter for contaminated normal distributions, and exhibits estimators that are asyptotically most robust (in a sense to be specified) among all translation invariant estimators.
Book

A Distribution-Free Theory of Nonparametric Regression

TL;DR: How to Construct Nonparametric Regression Estimates * Lower Bounds * Partitioning Estimates * Kernel Estimates * k-NN Estimates * Splitting the Sample * Cross Validation * Uniform Laws of Large Numbers
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Neural Network Learning: Theoretical Foundations

TL;DR: The authors explain the role of scale-sensitive versions of the Vapnik Chervonenkis dimension in large margin classification, and in real prediction, and discuss the computational complexity of neural network learning.
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Error measures for generalizing about forecasting methods: Empirical comparisons

TL;DR: In this article, the authors evaluated measures for making comparisons of errors across time series and found that the median absolute error of a given method to that from the random walk forecast is not reliable, and therefore inappropriate for comparing accuracy across series.
Related Papers (5)
Trending Questions (3)
What is the mean absolute percentage error?

The paper provides a study on the consequences of using the Mean Absolute Percentage Error (MAPE) as a measure of quality for regression models. It does not explicitly define the MAPE.

What is mean percentage error?

The paper does not provide a definition or explanation of mean percentage error.

What is the usage of mean percentage error?

The paper discusses the usage of Mean Absolute Percentage Error (MAPE) as a measure of quality for regression models. It proves the existence of an optimal MAPE model and shows the universal consistency of Empirical Risk Minimization based on MAPE.