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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