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Table 5 Simulation results for dataset D 4

From: Unsupervised Bayesian linear unmixing of gene expression microarrays

(a) R= 2

 

uBLU

PCA

NMF

BFRM

GB-GMF

MSE r 2 (×1 0 2 )

0.02

N/A

5.12

N/A

N/A

 

1.61

0.01

3.59

15.35

18.69

 

0.05

0.44

N/A

14.42

19.20

GMSE r 2 (×1 0 1 )

0.28

N/A

3.23

N/A

N/A

 

0.87

0.02

2.65

0.33

1.62

 

0.69

0.76

N/A

0.50

1.30

SAD r 2 (×1 0 1 )

0.34

N/A

4.25

N/A

N/A

 

3.08

0.17

3.71

14.90

14.89

 

0.51

0.68

N/A

15.59

15.70

GSAD (×10−2)

4.97

5.24

5.25

157.09

156.19

RE (×10−4)

4.49

4.88

4.89

19.34

8.48

Time (s)

1.61×103

0.02

1.36

35.29

0.40×103

(b) R = 3

 

uBLU

PCA

NMF

BFRM

GB-GMF

MSE r 2 (×1 0 2 )

0.02

0.01

6.18

18.38

21.63

 

1.61

0.01

4.79

16.10

19.55

 

0.05

0.09

4.21

15.04

19.85

GMSE r 2 (×1 0 1 )

0.28

0.05

1.67

1.44

1.29

 

0.87

0.05

1.01

0.37

1.75

 

0.69

0.05

0.94

0.26

1.17

SAD r 2 (×1 0 1 )

0.34

0.27

4.12

15.21

15.65

 

3.08

0.17

4.09

15.26

15.90

 

0.51

0.32

4.16

16.07

15.36

GSAD (×10−2)

4.97

4.95

4.99

157.08

154.80

RE (×10−4)

4.49

4.34

4.36

25.00

8.48

Time (s)

1.61×103

0.10

1.78

41.05

0.55×103

(c) R = 4

 

uBLU

PCA

NMF

BFRM

GB-GMF

MSE r 2 (×1 0 2 )

0.02

0.01

6.98

17.51

21.60

 

1.61

0.01

7.30

15.07

19.03

 

0.05

0.07

4.27

14.55

19.14

GMSE r 2 (×1 0 1 )

0.28

0.22

0.65

0.75

1.29

 

0.87

0.51

0.91

0.77

1.18

 

0.69

0.05

0.56

0.56

1.33

SAD r 2 (×1 0 1 )

0.34

0.27

4.41

15.61

15.51

 

3.08

0.19

4.81

16.31

14.77

 

0.51

0.33

4.00

15.84

15.26

GSAD (×10−2)

4.97

4.91

4.94

156.76

162.63

RE (×10−4)

4.49

4.30

4.33

13.48

8.29

Time (s)

1.61×103

0.16

1.56

48.22

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.