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)

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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 3.4810
2 feature(s) NaN NaN 488.1202
3 feature(s) 3.481 488.1202 NaN

N* empirical test

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN 2.1122
2 feature(s) NaN NaN 520.6060
3 feature(s) 2.1122 520.606 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.000000 0.000000 0.000000
4 0.118953 0.029719 0.011969
8 0.139040 0.045993 0.027969
16 0.148383 0.057813 0.046180
32 0.153030 0.066858 0.058354
64 0.155469 0.072355 0.067867
128 0.157196 0.075424 0.072252
256 0.157289 0.076488 0.074939
512 0.158125 0.077698 0.076451
1024 0.158626 0.078304 0.077439

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.189002 0.149957 0.205002
4 0.185181 0.139318 0.181169
8 0.177935 0.119128 0.149678
16 0.169574 0.101940 0.118743
32 0.164453 0.091643 0.100465
64 0.161594 0.085348 0.089347
128 0.160165 0.082274 0.084068
256 0.159394 0.080448 0.081020
512 0.159013 0.079534 0.079492
1024 0.158837 0.079137 0.078840

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.251864 0.170644 0.252722
4 0.205648 0.143946 0.195607
8 0.180396 0.119730 0.151786
16 0.169826 0.102169 0.118810
32 0.164683 0.091582 0.100436
64 0.161636 0.085381 0.089362
128 0.160201 0.082180 0.083994
256 0.159605 0.080421 0.080997
512 0.159163 0.079576 0.079583
1024 0.158926 0.079108 0.078844

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.121662
THEORETICAL 0.074803
EMPIRICAL_TEST 0.146826

Table THEORETICAL

# features time (min)
1 0.064507
2 0.051627
3 0.062757

Table EMPIRICAL_TEST

n time (min)
0 0.041787
1 0.037186
2 0.023801
3 0.017201
4 0.013462
5 0.009929
6 0.008998
7 0.010436
8 0.017070
9 0.036884

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 11413 11413 11413
4 16000 16000 16000
8 11200 11200 11200
16 8000 7240 8000
32 5600 5600 5600
64 2300 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 11865 14464 14125
4 10880 16000 11280
8 6160 8120 7560
16 4040 4880 7440
32 4284 2912 4228
64 2180 2080 3000
128 1442 1456 1568
256 1100 1020 1090
512 721 707 805
1024 505 525 520

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 16837 13560 22035
4 16000 10880 15360
8 6272 7168 8624
16 4600 4360 6040
32 4172 2968 3472
64 2440 3100 2840
128 1834 1960 1512
256 1180 1180 1410
512 910 931 1029
1024 645 600 545