Table 7 Performance of SAP, OPUS-TASS, SPOT-1D, and SPIDER2 when our testing proteins are grouped based on their lengths. In the table, ΔMAE of a system (e.g. OPUS-TASS, SPOT-1D or SPIDER2) is its MAE minus the MAE of SAP. As such, the greater the value of ΔMAE, the worse the performance of the system w.r.t. the performance of SAP. The horizontal lines in SAP columns split those columns such that the upper parts have MAE values less than the overall MAE values and the lower parts have MAE values greater (a slight exception for θ).

From: Author Correction: Enhancing protein backbone angle prediction by using simpler models of deep neural networks

Testing proteins

Φ

ψ

θ

τ

SAP

OPUS- TASS

SPOT-1D

SPIDER2

SAP

OPUS-TASS

SPOT-1D

SPIDER2

SAP

SPOT-1D

SPIDER2

SAP

SPOT-1D

SPIDER2

Length

Count

MAE

∆MAE

∆MAE

∆MAE

MAE

∆MAE

∆MAE

∆MAE

MAE

∆MAE

∆MAE

MAE

∆MAE

∆MAE

001–100

210

14.43

+ 0.14

+ 0.34

+ 2.75

13.19

+ 7.84

+ 8.02

+ 13.53

5.63

+ 0.36

+ 1.61

15.19

+ 5.52

+ 11.55

101–200

381

15.33

+ 0.06

+ 0.35

+ 2.93

13.73

+ 7.94

+ 8.43

+ 14.77

6.09

+ 0.47

+ 1.82

16.54

+ 6.44

+ 13.42

201–300

264

15.21

+ 0.28

+ 0.56

+ 3.03

13.94

+ 8.01

+ 8.59

+ 14.99

5.96

+ 0.67

+ 1.93

16.25

+ 7.35

+ 14.46

301–400

180

15.73

− 0.26

+ 0.26

+ 3.36

14.29

+ 7.35

+ 8.30

+ 15.85

6.11

+ 0.57

+ 2.07

17.12

+ 7.08

+ 15.27

401–500

102

16.03

+ 0.37

+ 0.79

+ 3.44

14.70

+ 9.04

+ 9.45

+ 16.97

6.09

+ 0.81

+ 2.27

17.27

+ 8.33

+ 16.32

501–800

69

16.49

+ 0.28

+ 0.77

+ 3.25

15.22

+ 9.17

+ 10.21

+ 17.07

6.29

+ 0.86

+ 2.17

17.97

+ 9.15

+ 16.33

Overall

1206

15.62

+ 0.12

+ 0.41

+ 2.90

14.23

+ 8.18

+ 8.69

+ 15.32

6.07

+ 0.54

+ 1.87

16.85

+ 7.17

+ 14.39