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Table 4 Simulation results for dataset D 3

From: Unsupervised Bayesian linear unmixing of gene expression microarrays

(a) R= 2

 

uBLU

PCA

NMF

BFRM

GB-GMF

MSE r 2 (×1 0 3 )

0.01

0.83

0.82

N/A

1.14

 

0.85

0.80

0.92

1.34

2.30

 

1.15

N/A

N/A

1.36

N/A

GMSE r 2 (×1 0 2 )

7.75

7.29

7.72

N/A

8.94

 

7.76

0.47

0.48

12.30

11.86

 

9.84

N/A

N/A

11.05

N/A

SAD r 2 (×1 0 1 )

0.59

7.09

7.04

N/A

15.55

 

7.13

6.71

7.19

8.41

16.43

 

8.71

N/A

N/A

8.54

N/A

GSAD (×10−1)

3.23

2.58

2.59

6.59

15.26

RE (×10−4)

3.11

0.70

0.70

0.47

2.50

Time (s)

1.59×103

0.01

0.70

42.02

0.40×103

(b) R = 3

 

uBLU

PCA

NMF

BFRM

GB-GMF

MSE r 2 (×1 0 3 )

0.01

0.15

0.15

1.74

1.20

 

0.85

1.02

0.76

1.76

2.26

 

1.15

1.57

1.03

1.55

2.40

GMSE r 2 (×1 0 2 )

7.75

14.89

2.80

11.40

14.09

 

7.76

0.11

0.40

12.11

12.33

 

9.84

0.11

0.30

10.94

12.76

SAD r 2 (×1 0 1 )

0.59

2.60

2.47

11.34

15.76

 

7.13

7.16

6.59

9.45

16.40

 

8.71

8.80

7.67

9.06

15.66

GSAD (×10−1)

3.23

2.58

1.71

6.88

15.20

RE (×10−4)

3.11

0.27

0.29

0.49

2.44

Time (s)

1.59×103

0.10

1.24

59.72

0.54×103

(c) R = 4

 

uBLU

PCA

NMF

BFRM

GB-GMF

MSE r 2 (×1 0 3 )

0.01

0.02

1.43

1.43

1.19

 

0.85

1.48

5.49

3.92

2.06

 

1.15

1.68

0.90

1.88

2.33

GMSE r 2 (×1 0 2 )

7.75

13.78

20.56

16.66

13.15

 

7.76

4.35

12.36

15.34

11.75

 

9.84

3.99

2.67

11.25

13.29

SAD r 2 (×1 0 1 )

0.59

0.97

10.27

10.24

15.97

 

7.13

7.93

15.78

16.45

14.92

 

8.71

8.66

6.93

10.98

15.89

GSAD (×10−1)

3.23

1.17

1.20

5.51

15.98

RE (×10−4)

3.11

0.16

0.16

0.41

2.45

Time (s)

1.59×103

0.13

1.15

67.71

0.69×103

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