Factorization Rank (q)

α and β Relationship

Optimal α

Optimal β

Average Recognition Rate

16

α = β

0.81

0.81

0.88578

α = 1 − β

0.15

0.85

0.88602

25

α = β

0.64

0.64

0.88631

α = 1 − β

0.39

0.61

0.88698

36

α = β

0.56

0.56

0.88630

α = 1 − β

0.82

0.18

0.88347

49

α = β

0.99

0.99

0.88685

α = 1 − β

0.82

0.18

0.88556

64

α = β

0.42

0.42

0.88838

α = 1 − β

0.46

0.54

0.88561

81

α = β

1.00

1.00

0.88868

α = 1 − β

0.14

0.86

0.88460

100

α = β

0.94

0.94

0.88901

α = 1 − β

0.12

0.88

0.88496