Table 8 Time series forecasting results on monthly sunspot numbers.

From: Fuzzy inference-based LSTM for long-term time series prediction

Model

Forecasting horizon:1

Forecasting horizon:55

Forecasting horizon:110

Forecasting horizon:165

Count

Metric

RMSE

MAPE

MAE

RMSE

MAPE

MAE

RMSE

MAPE

MAE

RMSE

MAPE

MAE

LFIGLSTM30

14.612

13.682

14.612

20.696

21.509

16.954

18.969

55.791

15.434

32.307

47.209

24.528

0

LFIGFIS47

10.316

9.872

10.306

24.253

24.579

20.477

27.489

121.812

23.159

52.337

98.886

40.532

0

LSTM39

8.194

7.673

8.194

21.770

23.405

17.682

22.842

71.876

18.482

41.981

62.205

32.068

0

NAR49

20.250

18.961

24.250

32.297

52.553

27.575

50.728

272.470

44.506

57.887

194.773

48.234

0

ARIMA11

15.885

14.873

15.885

26.365

42.677

21.719

37.938

204.281

33.098

57.682

154.589

48.361

0

SVR35

17.322

16.219

17.322

35.650

59.204

31.000

54.617

293.199

48.120

56.345

207.345

49.468

0

Naive36

29.000

27.154

29.000

65.011

108.351

59.438

90.398

463.493

83.706

75.797

315.881

63.878

0

FLSTM

2.167

2.809

2.167

10.358

12.644

11.587

12.364

15.372

13.625

23.504

28.248

21.648

12