Error Absolute Error Squared Error
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Sum | SE S|E| SE^2
Mean | ME M|E| ME^S
Note: SE and ME don't work as distance metrics if you have errors with mixed signs as they will cancel out. Squares and absolute values don't suffer from this issue.
More commonly you'll see these abbreviations
Error Absolute Error Squared Error
--------------------------------------
Sum | SE SAE SSE
Mean | ME MAE MSE