Solved – the interpretation of the negative value for the Normalized Mean Absolute Error (nMAE) metric

I am using the normalized mean absolute error metric for evaluating my results. The data I use is in time-series form. Their trend may be increasing or decreasing over time. All the values are positive at first and in different scales and ranges. I standardized my data in this form: first and for all samples, subtracting each time point from its baseline value and then divided them by the std of the baseline values(of all samples). Then, using the NMAE formula for my prediction. But now, I am getting some negative values for the normalized mean absolute error metric. I don't know what does it mean?

You could use the absolute values of Yreal, since the interest here is the magnitude of MAE with respect to the magnitude of actual values (independently of the sign).

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