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Table 1 Distortions produced by the MDS approach and SANJAY 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 Ratio of Dataset Maximum Maximum Ratio of
ID distortion distortion maximum distortions ID distortion distortion maximum distortions
  for MDS for SANJAY MDS/SANJAY   for MDS for SANJAY MDS/SANJAY
1 3197.8 1000 3.197 16 3150.4 1200 2.625
2 2711.1 1200 2.259 17 2497.2 1100 2.270
3 1953.0 1000 1.953 18 2925.5 1400 2.089
4 2917.2 1200 2.431 19 3813.3 1300 2.933
5 3483.5 1400 2.488 20 3700.8 1300 2.846
6 2925.9 1100 2.659 21 3011.8 1200 2.509
7 4233.0 1800 2.351 22 3252.4 1000 3.252
8 2898.0 1300 2.229 23 3381.4 1200 2.817
9 1876.7 1300 1.443 24 2963.9 1100 2.694
10 4314.1 1500 2.876 25 3428.3 1600 2.142
11 3543.6 1400 2.531 26 2712.2 1200 2.260
12 2449.8 1300 1.884 27 3679.7 1500 2.453
13 3835.2 1500 2.556 28 3286.0 1200 2.738
14 4153.3 1000 4.153 29 2449.7 1000 2.449
15 2858.6 1000 2.858 30 4160.0 1400 2.971
  1. The maximum distortion produced by SANJAY was, on average, 2.56 times less than that produced by MDS