Simulation Visualizations

GIF

Loss vs log_2(n)

Loss vs log(n) EMPIRICAL_TRAIN

Image 1

Loss vs log(n) THEORETICAL

Image 2

Loss vs log(n) EMPIRICAL_TEST

Image 3

Loss vs log(n) 1 features

Image 4

Loss vs log(n) 2 features

Image 5

Loss vs log(n) 3 features

Image 6

Time consumption(n)

Image 1
Image 2
Image 3

Iterations vs log_2(n)

Iterations vs log(n) EMPIRICAL_TRAIN

Image 1

Iterations vs log(n) THEORETICAL

Image 2

Iterations vs log(n) EMPIRICAL_TEST

Image 3

Iterations vs log(n) 1 features

Image 4

Iterations vs log(n) 2 features

Image 5

Iterations vs log(n) 3 features

Image 6

N* Relationship Matrixes

N* theoretical

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN 4.0229
2 feature(s) NaN NaN 48.0505
3 feature(s) 4.0229 48.0505 NaN

N* empirical test

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN 3.2862
2 feature(s) NaN NaN 47.9160
3 feature(s) 3.2862 47.916 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.000022 0.000000 0.000000
4 0.117453 0.029437 0.012266
8 0.139364 0.046250 0.028359
16 0.148492 0.057977 0.043945
32 0.152757 0.065670 0.054509
64 0.155641 0.072188 0.062750
128 0.157252 0.074919 0.066755
256 0.157625 0.076525 0.069213
512 0.158326 0.077701 0.070785
1024 0.158438 0.078319 0.071604

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.188928 0.150010 0.211203
4 0.185208 0.139226 0.185456
8 0.177841 0.119472 0.148049
16 0.169509 0.102161 0.113966
32 0.164232 0.091581 0.094657
64 0.161614 0.085420 0.083252
128 0.160193 0.082275 0.078025
256 0.159402 0.080433 0.074967
512 0.159014 0.079555 0.073505
1024 0.158824 0.079134 0.072858

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.251376 0.171558 0.265308
4 0.205844 0.145674 0.200329
8 0.180299 0.120247 0.149618
16 0.169705 0.101973 0.114224
32 0.164437 0.091500 0.094506
64 0.161547 0.085302 0.083147
128 0.160168 0.082038 0.077869
256 0.159336 0.080363 0.075122
512 0.158884 0.079306 0.073501
1024 0.158754 0.078903 0.072887

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.127974
THEORETICAL 0.073324
EMPIRICAL_TEST 0.148174

Table THEORETICAL

# features time (min)
1 0.067381
2 0.057138
3 0.058843

Table EMPIRICAL_TEST

n time (min)
0 0.046423
1 0.038543
2 0.024220
3 0.017090
4 0.012863
5 0.010206
6 0.008975
7 0.010835
8 0.016443
9 0.036175

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 22600 11413 11413
4 16000 16000 16000
8 11200 11200 11200
16 8000 8000 8000
32 5600 5600 5600
64 4000 4000 4000
128 2800 2800 2800
256 2000 2000 2000
512 1400 1400 1400
1024 1000 1000 1000

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 11413 22600 12543
4 8400 11680 8480
8 6608 5656 7560
16 4880 4560 8000
32 2968 2968 2912
64 2080 3140 2200
128 1442 1512 1540
256 1020 1070 1090
512 742 728 749
1024 510 515 520

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 15142 22600 17967
4 16000 16000 16000
8 8624 7896 7448
16 4800 4320 4520
32 3696 3668 3892
64 2960 2200 2160
128 1974 1778 1512
256 1830 1330 1040
512 721 756 1029
1024 520 530 670