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 5.5543
2 feature(s) NaN NaN 69.6505
3 feature(s) 5.5543 69.6505 NaN

N* empirical test

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN 5.7887
2 feature(s) NaN NaN 71.5288
3 feature(s) 5.7887 71.5288 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 0.009641
8 0.141016 0.047835 0.026540
16 0.148484 0.059250 0.043234
32 0.154319 0.066858 0.055737
64 0.156617 0.072348 0.064977
128 0.158072 0.075086 0.069076
256 0.157725 0.076871 0.071717
512 0.158092 0.077393 0.072768
1024 0.158658 0.078044 0.073814

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.188731 0.149616 0.255296
4 0.185450 0.139319 0.205193
8 0.177809 0.119610 0.155866
16 0.169977 0.101823 0.117642
32 0.164718 0.091529 0.096562
64 0.161593 0.085341 0.085615
128 0.160153 0.082306 0.080337
256 0.159389 0.080505 0.077400
512 0.159020 0.079623 0.075985
1024 0.158809 0.079144 0.075291

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.252575 0.172077 0.347468
4 0.205634 0.145481 0.230298
8 0.180369 0.120396 0.158780
16 0.169966 0.102151 0.117958
32 0.164836 0.091385 0.096777
64 0.161582 0.085388 0.085752
128 0.160041 0.082241 0.080333
256 0.159438 0.080571 0.077249
512 0.158843 0.079627 0.075997
1024 0.158577 0.079015 0.075273

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.134247
THEORETICAL 0.088662
EMPIRICAL_TEST 0.169694

Table THEORETICAL

# features time (min)
1 0.071670
2 0.063058
3 0.068352

Table EMPIRICAL_TEST

n time (min)
0 0.049884
1 0.044260
2 0.027033
3 0.017988
4 0.013375
5 0.010644
6 0.009612
7 0.011790
8 0.019101
9 0.040324

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 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 19323
4 9840 16000 10560
8 8064 6832 11200
16 4160 5800 4320
32 3192 4928 3164
64 2280 2480 2660
128 1540 1736 1470
256 1020 1090 1090
512 707 735 728
1024 505 505 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 21922 22600 12769
4 16000 14560 15840
8 7336 9744 11200
16 4920 7680 5360
32 3108 3808 2912
64 2240 2480 2260
128 1540 1428 2450
256 1090 1150 1230
512 861 805 819
1024 725 565 645