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Adding SMAPE and MAPE loss functions in Machine Learning #13311

Description

@VedanshTyagi

Feature Description

I would like to add SMAPE and MAPE loss functions to the loss_functions.py file in Machine Learning folder.

SMAPE

SMAPE (Symmetric Mean Absolute Percentage Error) measures forecast accuracy by comparing the absolute difference between predicted (𝐹t) and actual (At) values to their average.
It is given by:
$$SMAPE=\frac{100%}{​n} \sum_{t=1}^{n} \frac{|Ft - At|}{(|At| + |Ft|)/2} $$

MAPE

MAPE (Mean Absolute Percentage Error) measures forecast accuracy by expressing the average absolute difference between predicted (𝐹t) and actual (At) values as a percentage of the actual values.
It is given by:
$$SMAPE=\frac{100%}{​n} \sum_{t=1}^{n} |\frac{Ft - At}{At }| $$

Benefits

Machine learning models which predict continuous values like price of a house heavily use these loss functions to learn weights and biases.

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