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Following interactive plot allows to compare daily prediction errors of main studied models.

The plot represents mean absolute percentage error (MAPE) of studied models. Each color identifies a bimestral, while the height is directly proportional to the prediction error itself.

 

Errors are split in six groups of two months each, and can be filtered through the first filter in top-right corner.

It is possible to use the second filter to activate the de-seasonalization procedure described here.

 

One can notice that the Artificial Neural Network (neural) prediction is always better compared to the other ones just if the de-seasonalization is active (DESEASON = LogAdditive). This method stands as a "standardization" technique for output variables, allowing the net to adapt quickly.

Gaussian Process Regression (gaussian) is able to obtain a good MAPE compared to other models mainly using an Exponential kernel (Exp). Compared to the Neural Net, it has a higher prediction error, but a more reliable prediction confidence interval structure.

 

Linear model (linear) and Nearest Neighbour regression (nearest) show a good prediction power with respect to the MAPE, preferring fewer parameters and easier parameters explanation instead of a higher forecasting precision for Neural Nets and reliable confidence intervals for Gaussian Processes.

If visualization problems occur, it is suggested to visit Tableau HERE.

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