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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