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Table 2 Simulation results for dataset D 1

From: Unsupervised Bayesian linear unmixing of gene expression microarrays

(a) R= 2

 

uBLU

PCA

NMF

BFRM

GB-GMF

MSE r 2 (×1 0 2 )

0.39

N/A

N/A

205.99

267.42

 

0.60

6.04

61.12

N/A

N/A

 

0.54

0.97

9.78

325.58

67.14

GMSE r 2 (×1 0 3 )

0.04

N/A

N/A

64.39

226.58

 

0.04

2.00

2.00

N/A

N/A

 

0.05

0.30

0.28

75.87

41.33

SAD r 2 (×1 0 1 )

0.46

N/A

N/A

21.69

12.48

 

0.29

3.49

3.50

N/A

N/A

 

0.28

1.49

1.50

23.24

27.43

GSAD (×10−2)

3.39

20.38

20.38

24.04

37.35

RE

0.18

9.12

9.12

1.94

9.16

Time (s)

1.24×103

0.03

0.71

47.15

0.39×103

(b) R = 3

 

uBLU

PCA

NMF

BFRM

GB-GMF

MSE r 2 (×1 0 2 )

0.39

6.01

0.48

212.30

40.27

 

0.60

6.53

0.45

681.42

147.74

 

0.54

5.86

0.28

137.22

94.90

GMSE r 2 (×1 0 3 )

0.04

6.62

0.19

76.09

45.29

 

0.04

2.40

0.01

142.72

17.37

 

0.05

0.84

0.05

76.22

33.78

SAD r 2 (×1 0 1 )

0.46

1.86

0.53

10.68

11.86

 

0.29

1.18

0.31

15.18

12.50

 

0.28

1.36

0.26

5.33

13.96

GSAD (×10−2)

3.37

3.39

3.38

24.23

33.38

RE

0.18

0.18

0.18

1.84

0.18

Time (s)

1.24×103

0.10

0.95

53.60

0.56×103

(c) R = 4

 

uBLU

PCA

NMF

BFRM

GB-GMF

MSE r 2 (×1 0 2 )

0.39

6.02

87.78

205.66

195.89

 

0.60

6.53

0.45

247.96

101.34

 

0.54

8.03

0.26

330.01

68.69

GMSE r 2 (×1 0 3 )

0.04

23.82

26.56

64.59

57.58

 

0.04

11.70

0.23

114.02

3.10

 

0.05

6.37

18.04

75.47

27.72

SAD r 2 (×1 0 1 )

0.46

1.86

6.14

9.74

8.84

 

0.29

1.18

0.31

22.15

26.80

 

0.28

1.36

0.26

8.17

27.32

GSAD (×10−2)

3.39

3.34

3.36

28.62

29.23

RE

0.18

0.18

0.18

2.08

0.18

Time (s)

1.24×103

0.11

0.96

63.88

0.70×103

  1. MSEs, GMSEs, SADs, GSADs, REs and computational times between the proposed uBLU algorithm and PCA, NMF, BFRM and GB-GMF methods.