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Table 4 Feature Importance of the Transformer model using Cross-validation: The permutation feature importance reported the decrease in the MAE score when the single value is randomly shuffled. The most important features are the one with a higher values

From: Artificial intelligence for improving Nitrogen Dioxide forecasting of Abu Dhabi environment agency ground-based stations

Station

Lag 10

Lag 9

Lag 8

Lag 7

Lag 6

Lag 5

Lag 4

Lag 3

Lag 2

Lag 1

Station 1

0.02 (± 0.01)

0.02 (± 0.01)

0.02 (± 0.01)

0.02 (± 0.01)

0.02 (± 0.01)

0.02 (± 0.01)

1.06 (± 0.03)

0.02 (± 0.01)

0.02 (± 0.01)

0.02 (± 0.01)

Station 2

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.92 (± 0.04)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

Station 3

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

1.03 (± 0.03)

0.01 (± 0.0)

0.01 (± 0.01)

0.01 (± 0.0)

Station 4

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.01)

1.0 (± 0.04)

0.01 (± 0.01)

0.01 (± 0.01)

0.01 (± 0.0)

Station 5

0.02 (± 0.01)

0.02 (± 0.0)

0.02 (± 0.01)

0.02 (± 0.01)

0.03 (± 0.01)

0.02 (± 0.01)

0.89 (± 0.05)

0.02 (± 0.01)

0.02 (± 0.01)

0.02 (± 0.01)

Station 6

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

1.06 (± 0.03)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

Station 7

0.03 (± 0.01)

0.03 (± 0.01)

0.03 (± 0.01)

0.03 (± 0.01)

0.03 (± 0.01)

0.04 (± 0.01)

0.94 (± 0.03)

0.04 (± 0.02)

0.04 (± 0.01)

0.03 (± 0.01)

Station 8

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

1.02 (± 0.03)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

Station 9

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

1.05 (± 0.05)

0.01 (± 0.01)

0.01 (± 0.0)

0.01 (± 0.0)

Station 10

0.01 (± 0.01)

0.01 (± 0.01)

0.01 (± 0.0)

0.01 (± 0.01)

0.01 (± 0.01)

0.02 (± 0.01)

1.02 (± 0.05)

0.01 (± 0.01)

0.01 (± 0.0)

0.01 (± 0.0)

Station 11

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

1.05 (± 0.03)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

Station 12

0.02 (± 0.01)

0.01 (± 0.0)

0.01 (± 0.0)

0.02 (± 0.0)

0.02 (± 0.01)

0.02 (± 0.01)

1.0 (± 0.01)

0.02 (± 0.01)

0.02 (± 0.01)

0.02 (± 0.01)

Station 14

0.01 (± 0.0)

0.02 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.02 (± 0.0)

0.02 (± 0.0)

0.93 (± 0.04)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

Station 15

0.02 (± 0.01)

0.02 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.02 (± 0.01)

0.01 (± 0.0)

1.03 (± 0.03)

0.02 (± 0.01)

0.01 (± 0.0)

0.01 (± 0.0)

Station 16

0.01 (± 0.0)

0.01 (± 0.0)

0.02 (± 0.01)

0.02 (± 0.01)

0.01 (± 0.01)

0.02 (± 0.01)

1.07 (± 0.02)

0.02 (± 0.01)

0.02 (± 0.0)

0.01 (± 0.0)

Station 17

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

1.04 (± 0.04)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

Station 18

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.01)

1.03 (± 0.04)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

Station 19

0.01 (± 0.01)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.0)

1.0 (± 0.04)

0.01 (± 0.0)

0.01 (± 0.0)

0.01 (± 0.01)

Station 20

0.02 (± 0.01)

0.03 (± 0.0)

0.03 (± 0.01)

0.02 (± 0.01)

0.03 (± 0.01)

0.03 (± 0.01)

1.07 (± 0.04)

0.03 (± 0.01)

0.03 (± 0.01)

0.03 (± 0.01)