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Table 4 Average distortions produced by SANJAY and Random Projections when 10 randomly chosen high-dimensional data points from 30 flow cytometry datasets were projected onto two dimensions

From: A theorem proving approach for automatically synthesizing visualizations of flow cytometry data

Dataset

Average

Average distortion

Ratio of average

Dataset

Average

Average distortion

Ratio of average

ID

distortion

for random

distortions

ID

distortion

for random

distortions

 

for SANJAY

projections

RP/SANJAY

 

for SANJAY

projections

RP/SANJAY

1

540.8

1289.2

2.38

16

733.8

1791.5

2.44

2

653.3

1226.5

1.87

17

623.0

1361.3

2.18

3

537.5

1095.5

2.03

18

822.4

1480.3

1.80

4

765.3

1637.1

2.13

19

757.5

1912.7

2.52

5

806.3

1654.7

2.05

20

773.6

1806.0

2.33

6

634.0

1555.5

2.45

21

684.8

1535.2

2.24

7

1010.7

1608.8

1.59

22

605.7

1440.1

2.37

8

709.4

1111.8

1.56

23

712.8

1355.4

1.90

9

752.5

1439.5

1.91

24

741.1

1944.2

2.62

10

892.9

1376.7

1.54

25

1033.5

1943.4

1.88

11

882.8

1578.5

1.78

26

713.3

1762.9

2.47

12

760.0

1395.6

1.83

27

833.6

1519.0

1.82

13

849.7

1363.1

1.60

28

611.7

1648.0

2.69

14

613.4

2084.7

3.39

29

561.3

1513.4

2.70

15

612.4

1916.6

3.12

30

874.1

1047.5

1.19