Table 6 The improvement rate of the stacking integrated model compared to the three error indicators of different base learners.

From: Analysis and prediction of infectious diseases based on spatial visualization and machine learning

Algorithm

Evaluation indicators

Stacking vs. Base-learner

ARIMA

ELM

SVR

Wavelet

Model I

IMAE(%)

72.75

61.62

29.12

40.32

IRMSE(%)

74.12

74.12

25.34

46.88

IMAPE(%)

13.78

13.78

17.99

21.11

Model II

IMAE(%)

73.34

62.45

30.65

41.61

IRMSE(%)

74.36

74.36

26.01

47.36

IMAPE(%)

18.91

18.91

22.87

25.81

Model III

IMAE(%)

80.12

71.99

48.28

56.45

IRMSE(%)

81.03

81.03

45.27

61.06

IMAPE(%)

34.62

34.62

37.80

40.18

Model IV

IMAE(%)

78.94

70.33

45.21

53.87

IRMSE(%)

79.04

79.04

39.53

56.97

IMAPE(%)

32.05

32.05

35.37

37.83

Model V

IMAE(%)

74.67

64.32

34.10

44.52

IRMSE(%)

74.94

74.94

27.70

48.56

IMAPE(%)

18.91

18.91

22.87

25.81

Algorithm

Evaluation indicators

Stacking vs. Base-learner

RNN

SGDM-LSTM

Adam-LSTM

RMSProp-LSTM

Model I

IMAE(%)

59.78

52.93

53.75

43.43

IRMSE(%)

61.23

45.02

49.89

45.70

IMAPE(%)

20.88

16.20

15.41

8.81

Model II

IMAE(%)

60.65

53.94

54.75

44.65

IRMSE(%)

61.58

45.52

50.34

46.19

IMAPE(%)

25.59

21.18

20.44

14.24

Model III

IMAE(%)

70.65

65.65

66.25

58.72

IRMSE(%)

71.58

59.70

63.27

60.20

IMAPE(%)

40.00

36.45

35.85

30.85

Model IV

IMAE(%)

68.91

63.61

64.25

56.27

IRMSE(%)

68.60

55.47

59.41

56.02

IMAPE(%)

37.65

33.96

33.33

28.14

Model V

IMAE(%)

62.61

56.23

57.00

47.40

IRMSE(%)

62.46

46.77

51.47

47.42

IMAPE(%)

25.59

21.18

20.44

14.24