IEEE Computational Intelligence Magazine - November 2020 - 49

Tamil Nadu (Figures 16(c) and 16(d)). This suggests a more complex dependency among IMFs of these signals corresponding
to Tamil Nadu compared with Maharashtra. One way of
achieving more accuracy in prediction in the case of Tamil
Nadu is to use a deeper RNN architecture. However, in order
to avoid over-fitting, either more data or a more severe regularisation strategy has to be exploited.
A further example is now investigated, corresponding to
the state Gujarat in India where the number of cases is smaller. The data from this state is of interest particularly due to an
outlier presenting at around day 54 (Figure 17(a)). The transmission rate TR of Figure 17(b) has been smoothed using

the technique proposed in Section II. Also, all the signals CC,
T, and H are decomposed using VMD (Section III-B), and
their stationary and non-stationary parts are grouped and
used for training the RNNs as discussed respectively in Sections III-B and IV. Figure 18 shows the final results of the
prediction process. A satisfactory value of MAPE = 4.68% is
obtained, which further confirms the applicability of the
proposed technique.
VI. Conclusion

A systematic procedure to derive features for training RNNs
to forecast the future number of confirmed cases of COVID-19

Forecast

Cases

Cases

500
450

0

2

4

6

10

8

12

14

16

RMSE = 30.4753

2

4

0

10

8

12

14

16

18

12

14

16

18

12

14

16

18

14

16

18

RMSE = 11.8983

10
5

0

2

4

6

10

8

12

14

16

0

18

0

2

4

6

10

8

Month
(a)

Month

Forecast

Forecast

(b)

50
Cases

20
0
-20
0

2

4

6

10

8

12

14

16

0
-50

18

0

2

4

6

10

8

RMSE = 25.1369

RMSE = 13.8487
40

50

20

Error

Error

6

15

50

Error

Error

0

20

40
Cases

500

450

18

100

-50

Forecast

550

550

0

0
-50

-20
0

2

4

6

10

8

12

14

16

18

0

2

4

6

10

8

Month

Month

(c)

(d)
Observed

12

Forecast

FIGURE 18 Predicted value and Root mean square error (RMSE) of the number of COVID-19 cases forecast corresponding to each IMF of
Gujarat CC signal conducted on the test set (MAPE = 4.68%). (a) CC; (b) CC-IMF1; (c) CC-IMF2; and (d) CC-IMF3.

NOVEMBER 2020 | IEEE COMPUTATIONAL INTELLIGENCE MAGAZINE

49



IEEE Computational Intelligence Magazine - November 2020

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