ResultsΒΆ

As mentioned in Usage, the program takes a long time to compute some cross-entropies. Especially the transformed-space sampling method is slow. Therefore, a parallel version (which is specific to the Cambridge set-up and not included in the source code) was used to produce per-component cross-entropy number for the papers. Below are the raw results for reference.

Note

There is also a version that works on a complete model set.

Before the samples are drawn, the random seed is set. For the deterministic methods (the variants of VTS) this should lead to consistent results across computers. The cross-entropies below seem to be exactly consistent across machines running 64-bit Linux. For the methods that apply Monte Carlo (DPMC and transformed-space sampling) the precise cross-entropies depend on the initialisation of the random generator, which is not fixed.

none 41.4751585594
vts 46.9960023406
mean_only vts 41.346771509
diagonalise vts 37.0170928692
vts_phase 38.1993193206
mean_only vts_phase 41.346771509
diagonalise vts_phase 36.2945715126
diagonalise vts_phase 0.0 37.0170928692
diagonalise vts_phase 1.0 39.6927532678
vts_phase -1.0 38.5995648966
vts_phase -0.9 38.618851727
vts_phase -0.8 39.0773461924
vts_phase -0.7 39.6953093284
vts_phase -0.6 40.4273698756
vts_phase -0.5 41.2716277406
vts_phase -0.4 42.2282944068
vts_phase -0.3 43.2915253746
vts_phase -0.2 44.4501018894
vts_phase -0.1 45.6898923898
vts_phase 0.0 46.9960023406
vts_phase 0.1 48.3541806452
vts_phase 0.2 49.7515727224
vts_phase 0.3 51.1770216464
vts_phase 0.4 52.6210964024
vts_phase 0.5 54.0759745232
vts_phase 0.6 55.535259736
vts_phase 0.7 56.993781537
vts_phase 0.8 58.4474017222
vts_phase 0.9 59.8928396404
vts_phase 1.0 61.3275203742
vts_phase 1.1 62.7494460084
vts_phase 1.2 64.1570881806
vts_phase 1.3 65.549299323
vts_phase 1.4 66.925239842
vts_phase 1.5 68.2843186378
vts_phase 1.6 69.6261446542
vts_phase 1.7 70.9504874778
vts_phase 1.8 72.257245321
vts_phase 1.9 73.5464190164
vts_phase 2.0 74.8180908908
vts_phase 2.1 76.0724076012
vts_phase 2.2 77.3095661884
vts_phase 2.3 78.5298027392
vts_phase 2.4 79.7333831746
vts_phase 2.5 80.9205957616
vts_phase 2.6 82.0917450342
vts_phase 2.7 83.2471468602
vts_phase 2.8 84.3871244454
vts_phase 2.9 85.5120051032
vts_phase 3.0 86.6221176526
vts_phase 3.1 87.717790327
vts_phase 3.2 88.7993491072
vts_phase 3.3 89.8671163978
vts_phase 3.4 90.9214099882
vts_phase 3.5 91.962542246
vts_phase 3.6 92.9908195004
vts_phase 3.7 94.0065415846
vts_phase 3.8 95.0100015044
vts_phase 3.9 96.001485212
vts_phase 4.0 96.9812714668
vts_phase 4.1 97.949631764
vts_phase 4.2 98.9068303214
vts_phase 4.3 99.8531241106
vts_phase 4.4 100.788762925
vts_phase 4.5 101.713989478
vts_phase 4.6 102.629039522
vts_phase 4.7 103.534141985
vts_phase 4.8 104.429519123
vts_phase 4.9 105.315386684
dpmc 100 57.527413934
diagonalise dpmc 100 37.8466666994
dpmc 1000 47.4437981646
diagonalise dpmc 1000 37.5900206
dpmc 10000 46.6365414446
diagonalise dpmc 10000 37.5755203058
dpmc 50000 46.4919280922
diagonalise dpmc 50000 37.5685341098
idpmc 100 1 57.527413934
idpmc 100 2 59.276651701
idpmc 100 4 60.3834150816
idpmc 100 8 59.3867483978
idpmc 1000 1 47.4437981646
idpmc 1000 2 46.8584229126
idpmc 1000 4 46.8657807534
idpmc 1000 8 46.7410575138
idpmc 10000 1 46.6365414446
idpmc 10000 2 45.7286566122
idpmc 10000 4 46.0916730634
idpmc 10000 8 46.0120301524
idpmc 50000 1 46.4919280922
idpmc 50000 2 45.8623221272
idpmc 50000 4 46.0026575368
idpmc 50000 8 46.0246167774
dpmc_phase 100 34.1463148854
diagonalise dpmc_phase 100 35.439500446
dpmc_phase 1000 31.6199716082
diagonalise dpmc_phase 1000 35.1862225364
dpmc_phase 10000 31.4651243088
diagonalise dpmc_phase 10000 35.1632865408
dpmc_phase 50000 31.4571736306
diagonalise dpmc_phase 50000 35.1634566862
idpmc_phase 100 1 34.1463148854
idpmc_phase 100 2 34.1767069374
idpmc_phase 100 4 34.2300031808
idpmc_phase 100 8 34.475923518
idpmc_phase 1000 1 31.6199716082
idpmc_phase 1000 2 31.2373675292
idpmc_phase 1000 4 31.1559912812
idpmc_phase 1000 8 30.9869875486
idpmc_phase 10000 1 31.4651243088
idpmc_phase 10000 2 31.0727572738
idpmc_phase 10000 4 30.9284578712
idpmc_phase 10000 8 30.7462618286
idpmc_phase 50000 1 31.4571736306
idpmc_phase 50000 2 31.061660902
idpmc_phase 50000 4 30.9080757994
idpmc_phase 50000 8 30.743426492
sis_conditional_phase 1 failed
sis_conditional_phase 2 66.3427838208
sis_conditional_phase 4 47.0098701284
sis_conditional_phase 8 38.6252990626
sis_conditional_phase 16 34.732548198
sis_conditional_phase 32 32.5748856078
sis_conditional_phase 64 31.5603993034
sis_conditional_phase 128 30.9742852868
sis_conditional_phase 256 30.5900387518
sis_conditional_phase 512 30.411547815
sis_conditional_phase 1024 30.2964884142
sis_conditional_phase 2048 30.224322709
sis_conditional_phase 4096 30.2007191462
sis_conditional_phase 8192 30.157569523
sis_conditional_phase 16384 30.1392456944

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