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 3.9501
2 feature(s) NaN NaN 35.1452
3 feature(s) 3.9501 35.1452 NaN

N* empirical test

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN 3.6313
2 feature(s) NaN NaN 36.3441
3 feature(s) 3.6313 36.3441 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 0.009437
8 0.141016 0.047835 0.024208
16 0.148484 0.059250 0.039891
32 0.154319 0.066858 0.051992
64 0.156617 0.072348 0.060937
128 0.158072 0.075086 0.065455
256 0.157725 0.076871 0.067994
512 0.158092 0.077393 0.069029
1024 0.158658 0.078044 0.070061

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.188731 0.149616 0.222672
4 0.185450 0.139319 0.184824
8 0.177809 0.119610 0.146693
16 0.169977 0.101823 0.112221
32 0.164718 0.091529 0.092074
64 0.161593 0.085341 0.081853
128 0.160153 0.082306 0.076610
256 0.159389 0.080505 0.073721
512 0.159020 0.079623 0.072269
1024 0.158809 0.079144 0.071542

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.252575 0.172077 0.283434
4 0.205634 0.145481 0.200631
8 0.180369 0.120396 0.148358
16 0.169966 0.102151 0.112610
32 0.164836 0.091385 0.092204
64 0.161582 0.085388 0.081746
128 0.160041 0.082241 0.076405
256 0.159438 0.080571 0.073573
512 0.158843 0.079627 0.072206
1024 0.158577 0.079015 0.071330

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.121472
THEORETICAL 0.079878
EMPIRICAL_TEST 0.158190

Table THEORETICAL

# features time (min)
1 0.067144
2 0.059058
3 0.063046

Table EMPIRICAL_TEST

n time (min)
0 0.051079
1 0.038524
2 0.024699
3 0.018544
4 0.012477
5 0.009847
6 0.008538
7 0.010051
8 0.016714
9 0.036705

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 8000 8000
32 5600 5600 5600
64 4000 4000 3620
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 16385
4 9840 16000 16000
8 8064 6832 6776
16 4160 5800 5800
32 3192 4928 2996
64 2280 2480 2340
128 1540 1736 1806
256 1020 1090 1250
512 707 735 763
1024 505 505 535

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 21922 22600 22600
4 16000 14560 16000
8 7336 9744 7784
16 4920 7680 7760
32 3108 3808 3024
64 2240 2480 2660
128 1540 1428 1414
256 1090 1150 1100
512 861 805 1092
1024 725 565 535