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 7.1022
2 feature(s) NaN NaN 511.6782
3 feature(s) 7.1022 511.6782 NaN

N* empirical test

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN 7.5471
2 feature(s) NaN NaN 451.5564
3 feature(s) 7.5471 451.5564 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 0.029484 0.009531
8 0.141016 0.047835 0.029018
16 0.148484 0.059250 0.046953
32 0.154319 0.066858 0.058984
64 0.156617 0.072348 0.068250
128 0.158072 0.075086 0.072637
256 0.157725 0.076871 0.075453
512 0.158092 0.077393 0.076505
1024 0.158658 0.078044 0.077367

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.188731 0.149616 0.296983
4 0.185450 0.139319 0.234659
8 0.177809 0.119610 0.167607
16 0.169977 0.101823 0.122748
32 0.164718 0.091529 0.100177
64 0.161593 0.085341 0.089367
128 0.160153 0.082306 0.083987
256 0.159389 0.080505 0.081055
512 0.159020 0.079623 0.079622
1024 0.158809 0.079144 0.078889

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.252575 0.172077 0.464058
4 0.205634 0.145481 0.284769
8 0.180369 0.120396 0.173105
16 0.169966 0.102151 0.123092
32 0.164836 0.091385 0.100460
64 0.161582 0.085388 0.089444
128 0.160041 0.082241 0.084043
256 0.159438 0.080571 0.080958
512 0.158843 0.079627 0.079541
1024 0.158577 0.079015 0.078838

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.155809
THEORETICAL 0.099189
EMPIRICAL_TEST 0.183023

Table THEORETICAL

# features time (min)
1 0.066505
2 0.058873
3 0.100585

Table EMPIRICAL_TEST

n time (min)
0 0.050091
1 0.038625
2 0.025505
3 0.018950
4 0.013776
5 0.011685
6 0.011661
7 0.014798
8 0.024902
9 0.054165

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 6272
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 15707 22600 22600
4 9840 16000 16000
8 8064 6832 9128
16 4160 5800 4880
32 3192 4928 3528
64 2280 2480 2040
128 1540 1736 1442
256 1020 1090 1040
512 707 735 714
1024 505 505 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 21922 22600 22600
4 16000 14560 16000
8 7336 9744 11200
16 4920 7680 6120
32 3108 3808 2884
64 2240 2480 2040
128 1540 1428 1708
256 1090 1150 1270
512 861 805 1085
1024 725 565 565