CRM - Coefficient of Residual Mass

\[\text{CRM}(y, \hat{y}) = \frac{\sum{\hat{Y}} - \sum{Y}}{\sum{Y}}\]

• Best possible value = 0, smaller value is better. Range = (-inf, +inf)

Latex equation code:

\text{CRM}(y, \hat{y}) = \frac{\sum{\hat{Y}} - \sum{Y}}{\sum{Y}}

• https://doi.org/10.1016/j.csite.2022.101797

Example to use CRM 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.coefficient_of_residual_mass())

## 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.CRM(multi_output="raw_values"))