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Table 3 Maximum distortions produced by SANJAY and Random Projections technique 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

Maximum

Maximum distortion

Ratio of maximum

Dataset

Maximum

Maximum distortion

Ratio of maximum

ID

distortion

for random

distortions

ID

distortion

for random

distortions

 

for SANJAY

projections

RP/SANJAY

 

for SANJAY

projections

RP/SANJAY

1

1000

4069

4.07

16

1200

6732

5.61

2

1200

4179

3.48

17

1100

4298

3.90

3

1000

3982

3.98

18

1400

4922

3.51

4

1200

5289

4.40

19

1300

6719

5.16

5

1400

5045

3.60

20

1300

5583

4.29

6

1100

5092

4.62

21

1200

5311

4.42

7

1800

5364

2.98

22

1000

4447

4.44

8

1300

3566

2.74

23

1200

4731

3.94

9

1300

4357

3.35

24

1100

6251

5.68

10

1500

4262

2.84

25

1600

5919

3.69

11

1400

4945

3.53

26

1200

5385

4.48

12

1300

4370

3.36

27

1500

4886

3.25

13

1500

4747

3.16

28

1200

5884

4.90

14

1000

7029

7.02

29

1000

5398

5.30

15

1000

6161

6.16

30

1400

3900

2.78