MAAPE - Mean Arctangent Absolute Percentage Error
\[\text{MAAPE}(y, \hat{y}) = \frac{1}{N} \sum_{i=0}^{N-1} AAPE_i = \frac{1}{N} \sum_{i=0}^{N - 1} arctan(\frac{|y_i - \hat{y}_i|}{|y_i|})\]
Best possible score is 0.0, smaller value is better. Range = [0, +inf)
Latex equation code:
\text{MAAPE}(y, \hat{y}) = \frac{1}{N} \sum_{i=0}^{N-1} AAPE_i = \frac{1}{N} \sum_{i=0}^{N - 1} arctan(\frac{|y_i - \hat{y}_i|}{|y_i|})
Example to use MAAPE metric:
from numpy import array
from permetrics.regression import RegressionMetric
## For 1-D array
y_true = array([3, -0.5, 2, 7])
y_pred = array([2.5, 0.0, 2, 8])
evaluator = RegressionMetric(y_true, y_pred, decimal=5)
print(evaluator.mean_arctangent_absolute_percentage_error())
## For > 1-D array
y_true = array([[0.5, 1], [-1, 1], [7, -6]])
y_pred = array([[0, 2], [-1, 2], [8, -5]])
evaluator = RegressionMetric(y_true, y_pred, decimal=5)
print(evaluator.MAAPE(multi_output="raw_values"))