Table 2 Neural network prediction error summary

From: Generalizability of A Neural Network Model for Circadian Phase Prediction in Real-World Conditions

Network

# skin temp inputs

Reference rhythm

Prediction method

n

Prediction Error (minutes)

Prediction Error Absolute Values (minutes)

Correlation with measured phase

Percentage predicted within range

Mean

Median

SD

Range

Mean Absolute

Median Absolute

SD Absolute

Min

Max

RMSE

r

p

 ± 15 mins

 ± 30 mins

 ± 60 mins

 ± 120 mins

Trained networks

Fixed sleep

11

Melatonin

cross validation

15

5.67

17.82

50.36

166.03

42.49

39.43

25.24

14.21

84.91

48.98

0.43

0.12

6.67

40.00

73.33

100.00

Fixed sleep

1

Melatonin

cross validation

15

1.33

11.48

53.00

194.61

40.86

27.01

31.97

7.06

106.29

51.23

0.41

0.15

26.67

53.33

66.67

100.00

Fixed + habitual sleep

11

aMT6s

cross validation

26

1.88

−1.46

66.46

256.29

48.71

37.76

44.19

0.81

151.32

65.20

0.46

0.07

26.92

42.31

65.38

92.31

Fixed + habitual sleep

1

aMT6s

cross validation

27

−0.91

−4.16

66.83

277.90

50.85

40.98

42.22

2.74

152.60

65.59

0.45

0.03

22.22

37.04

66.67

88.89

Diurnal sleep

1

aMT6s

cross validation

56

−0.95

−3.27

92.36

604.60

62.84

48.60

67.16

0.42

312.66

91.54

0.42

0.01

19.64

41.07

66.07

87.50

SWday

1

aMT6s

cross validation

29

9.36

−9.21

104.08

541.49

65.68

38.28

80.34

3.34

327.79

102.69

0.39

0.16

17.24

41.38

68.97

86.21

SWnights

1

aMT6s

cross validation

19

−22.11

−10.24

212.86

1013.81

143.29

115.28

155.42

1.50

605.48

208.36

0.04

0.84

21.05

31.58

42.11

52.63

Predictions using final networks

SWday

1

aMT6s

Fixed + habitual sleep

29

−2.85

−0.41

145.69

884.74

81.87

50.11

119.55

0.41

561.90

143.18

0.46

0.08

24.14

37.93

68.97

82.76

SWnight

1

aMT6s

Fixed + habitual sleep

19

314.26

375.79

355.86

1245.97

437.37

403.83

170.18

198.53

695.89

467.69

0.23

0.36

0.00

0.00

0.00

0.00

SWnight

1

aMT6s

Diurnal sleep

19

317.70

358.75

337.00

1284.05

422.58

396.71

177.79

196.85

701.92

456.64

0.31

0.22

0.00

0.00

0.00

0.00

Comparative estimation methods

Diurnal sleep

-

aMT6s

mid-sleep

29

−29.45

−43.44

104.19

790.70

73.20

79.27

60.75

0.50

542.90

107.38

0.25

0.17

14.29

26.79

50.00

91.07

SWnight

-

aMT6s

mid-sleep

19

413.13

436.30

185.67

853.40

427.17

436.30

148.38

133.40

720.00

450.92

0.34

0.09

0.00

0.00

0.00

0.00

Diurnal sleep

-

aMT6s

normal range estimate

29

11.05

3.31

150.15

807.18

115.15

100.43

95.76

1.40

542.90

174.66

−0.04

0.75

8.93

14.29

33.93

57.14

SWnight

-

aMT6s

normal range estimate

19

−55.73

−52.96

206.87

854.11

150.01

96.40

149.40

4.42

545.78

208.92

0.12

0.57

5.26

5.26

26.32

63.16

Diurnal sleep

-

aMT6s

random re-sampling

29

0.00

0.00

130.92

900.00

95.71

88.39

87.50

0.00

469.00

129.75

0.10

0.43

8.93

19.64

30.36

64.29

SWnight

-

aMT6s

random re-sampling

19

0.00

11.00

235.99

1012.00

180.11

146.46

148.00

11.00

547.00

229.70

0.33

0.10

5.26

10.53

21.05

36.84

  1. Note: all results are from networks using inputs of blue light irradiance combined with skin temperature. See Supplementary Table S3 for results using alternate input combinations. aMT6s = urinary 6-sulphatoxymelatonin, RMSE = root mean square error. Correlation coefficients were calculated using circular statistics.