I have put the data and results here:
https://www.researchgate.net/publication/256306145_Seriation_can_anyone_beat_my_results?ev=prf_pub
Thanks,
Data Seriation: can anyone beat my results?
Here are results from 1000 iterations for the same matrix:
Robinson matrix 500x500
iterations: 1000
average spearman rank correlation with known order: 0.9999475903183612
its standsrd deviation: 0.0007589340316943732
proportion of seriated matices being robinson: 0.988
proportion of perfect recoveries of known ordeing: 0.988
proportion of perfect position recoveries: 0.994698
=== Total time: 127h18m33.066058s ===
I have even better solution,
it is here:
https://www.researchgate.net/publication/259885785_Seriation500.2.tar
Here are the best so far results from 1000 iterations of seriation for pre-Robinson matrix:
average spearman rank correlation with known order: 0.9999992081888328
its standard deviation: 2.5039267652515825e-05
proportion of seriated matices being robinson: 0.999
proportion of perfect recoveries of known ordeing: 0.999
proportion of perfect position (rank) recoveries: 0.999792
total time: 204h41m39.906347s
Data Seriation500.2.tar
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