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SMAPE meaning in General ? |
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Answer» What is Symmetric Mean Absolute Percentage Error mean? Symmetric mean absolute percentage error (SMAPE or sMAPE) is an accuracy measure based on percentage (or relative) errors. It is usually defined as follows: SMAPE = 100 % n ∑ t = 1 n | F t − A t | ( | A t | + | F t | ) / 2 {\displaystyle {\text{SMAPE}}={\frac {100\%}{n}}\sum _{t=1}^{n}{\frac {\left|F_{t}-A_{t}\right|}{(|A_{t}|+|F_{t}|)/2}}}where At is the actual value and Ft is the forecast value. The absolute difference between At and Ft is divided by half the sum of absolute values of the actual value At and the forecast value Ft. The value of this calculation is summed for every fitted point t and divided again by the number of fitted points n. The earliest reference to similar formula appears to be Armstrong (1985, p. 348) where it is called "adjusted MAPE" and is defined without the absolute values in denominator. It has been later discussed, modified and re-proposed by Flores (1986). Armstrong's original definition is as follows: SMAPE = 1 n ∑ t = 1 n | F t − A reference nan |
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