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scoring_functions.py
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importnumpyasnp
""" Here I implemented the scoring functions.
MAE, MSE, RMSE, RMSLE are included.
Those are used for calculating differences between
predicted values and actual values.
Metrics are slightly differentiated. Sometimes squared, rooted,
even log is used.
Using log and roots can be perceived as tools for penalizing big
errors. However, using appropriate metrics depends on the situations,
and types of data
"""
# Mean Absolute Error
defmae(predict, actual):
"""
Examples(rounded for precision):
>>> actual = [1,2,3];predict = [1,4,3]
>>> float(np.around(mae(predict,actual),decimals = 2))
0.67
>>> actual = [1,1,1];predict = [1,1,1]
>>> float(mae(predict,actual))
0.0
"""
predict=np.array(predict)
actual=np.array(actual)
difference=abs(predict-actual)
score=difference.mean()
returnscore
# Mean Squared Error
defmse(predict, actual):
"""
Examples(rounded for precision):
>>> actual = [1,2,3];predict = [1,4,3]
>>> float(np.around(mse(predict,actual),decimals = 2))
1.33
>>> actual = [1,1,1];predict = [1,1,1]
>>> float(mse(predict,actual))
0.0
"""
predict=np.array(predict)
actual=np.array(actual)
difference=predict-actual
square_diff=np.square(difference)
score=square_diff.mean()
returnscore
# Root Mean Squared Error
defrmse(predict, actual):
"""
Examples(rounded for precision):
>>> actual = [1,2,3];predict = [1,4,3]
>>> float(np.around(rmse(predict,actual),decimals = 2))
1.15
>>> actual = [1,1,1];predict = [1,1,1]
>>> float(rmse(predict,actual))
0.0
"""
predict=np.array(predict)
actual=np.array(actual)
difference=predict-actual
square_diff=np.square(difference)
mean_square_diff=square_diff.mean()
score=np.sqrt(mean_square_diff)
returnscore
# Root Mean Square Logarithmic Error
defrmsle(predict, actual):
"""
Examples(rounded for precision):
>>> float(np.around(rmsle(predict=[10, 2, 30], actual=[10, 10, 30]), decimals=2))
0.75
>>> float(rmsle(predict=[1, 1, 1], actual=[1, 1, 1]))
0.0
"""
predict=np.array(predict)
actual=np.array(actual)
log_predict=np.log(predict+1)
log_actual=np.log(actual+1)
difference=log_predict-log_actual
square_diff=np.square(difference)
mean_square_diff=square_diff.mean()
score=np.sqrt(mean_square_diff)
returnscore
# Mean Bias Deviation
defmbd(predict, actual):
"""
This value is Negative, if the model underpredicts,
positive, if it overpredicts.
Example(rounded for precision):
Here the model overpredicts
>>> actual = [1,2,3];predict = [2,3,4]
>>> float(np.around(mbd(predict,actual),decimals = 2))
50.0
Here the model underpredicts
>>> actual = [1,2,3];predict = [0,1,1]
>>> float(np.around(mbd(predict,actual),decimals = 2))
-66.67
"""
predict=np.array(predict)
actual=np.array(actual)
difference=predict-actual
numerator=np.sum(difference) /len(predict)
denumerator=np.sum(actual) /len(predict)
# print(numerator, denumerator)
score=float(numerator) /denumerator*100
returnscore
defmanual_accuracy(predict, actual):
returnnp.mean(np.array(actual) ==np.array(predict))