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Table 7 Performance of SAP4SS, SAP, OPUS-TASS (in columns OTASS), and SPOT-1D (in columns SPOT) when our testing proteins are grouped based on their lengths

From: Secondary structure specific simpler prediction models for protein backbone angles

Testing proteins

\(\phi\)

\(\psi\)

\(\theta\)

\(\tau\)

SAP4SS

SAP

OTASS

SPOT

SAP4SS

SAP

OTASS

SPOT

SAP4SS

SAP

SPOT

SAP4SS

SAP

SPOT

Length

Count

MAE

\(\Delta\)%

\(\Delta\)%

\(\Delta\)%

MAE

\(\Delta\)%

\(\Delta\)%

\(\Delta\)%

MAE

\(\Delta\)%

\(\Delta\)%

MAE

\(\Delta\)%

\(\Delta\)%

001–100

232

14.60

+ 2.05

+ 1.03

+ 3.77

18.47

+ 1.08

+ 15.54

+ 17.16

5.63

+ 1.95

+ 9.59

20.39

+ 3.68

+ 13.68

101–200

424

15.32

+ 2.48

+ 1.17

+ 3.98

18.78

+ 2.50

+ 15.65

+ 19.33

6.05

+ 2.64

+ 9.75

22.01

+ 4.27

+ 14.08

201–300

294

15.24

+ 2.49

+ 2.23

+ 4.66

18.41

+ 2.66

+ 19.77

+ 23.19

5.95

+ 2.35

+ 11.93

22.00

+ 3.27

+ 16.55

301–400

190

15.60

+ 2.88

− 0.19

+ 3.53

18.58

+ 3.39

+ 16.85

+ 22.50

6.04

+ 2.98

+ 11.42

21.23

+ 5.37

+ 17.57

401–500

103

15.80

+ 2.09

+ 3.92

+ 7.28

18.57

+ 2.85

+ 27.95

+ 31.07

5.96

+ 2.52

+ 16.61

20.75

+ 4.14

+ 24.24

501–800

78

16.64

+ 1.98

+ 1.08

+ 4.21

20.59

+ 2.77

+ 19.14

+ 23.75

6.34

+ 2.68

+ 12.93

22.96

+ 3.48

+ 19.99

Overall

1321

15.59

+ 2.37

+ 1.54

+ 4.55

18.87

+ 2.76

+ 19.18

+ 23.21

6.03

+ 2.65

+ 12.11

21.71

+ 4.10

+ 17.73

  1. In the table, \(\Delta\)% of a method (e.g. SAP, OPUS-TASS, or SPOT-1D) is computed as \(\dfrac{\textsf {its MAE} - \textsf {SAP4SS MAE}}{\textsf {SAP4SS MAE}}*100\%\). The greater the value of \(\Delta\)MAE, the worse the performance of the method w.r.t. SAP4SS