Comparing MAE vs. MSE

MAE = Σ|y - ŷ|   |   MSE = Σ(y - ŷ)²

75
50
Error
25
(y - ŷ)
Absolute Error
25
|y - ŷ|
Squared Error
625
(y - ŷ)²

Mean Absolute Error (MAE)

Mean Squared Error (MSE)

0 25 50 75 100 y ŷ

Comparing the Penalties