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 NaN
2 feature(s) NaN NaN NaN
3 feature(s) NaN NaN NaN

N* empirical test

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

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.000000 0.000000 0.000000
4 0.118641 0.023969 0.004359
8 0.141462 0.039587 0.011138
16 0.149820 0.049984 0.017641
32 0.152963 0.057221 0.023103
64 0.156441 0.062504 0.028855
128 0.158373 0.065237 0.031914
256 0.157955 0.066227 0.034137
512 0.158185 0.066889 0.035006
1024 0.158246 0.067571 0.035639

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.188291 0.143588 0.110937
4 0.185463 0.129380 0.095453
8 0.177913 0.108391 0.079675
16 0.170046 0.090927 0.063743
32 0.164529 0.080474 0.052534
64 0.161693 0.074720 0.045124
128 0.160202 0.071584 0.041098
256 0.159457 0.069785 0.038757
512 0.159024 0.068909 0.037655
1024 0.158849 0.068463 0.036993

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.253864 0.163232 0.119268
4 0.206350 0.133840 0.097879
8 0.181184 0.109286 0.079851
16 0.170014 0.090727 0.063800
32 0.164486 0.080639 0.052547
64 0.161523 0.074752 0.045094
128 0.160113 0.071616 0.041085
256 0.159512 0.069874 0.038608
512 0.159170 0.068886 0.037749
1024 0.158848 0.068543 0.037056

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.112773
THEORETICAL 0.072792
EMPIRICAL_TEST 0.136803

Table THEORETICAL

# features time (min)
1 0.062331
2 0.054114
3 0.050886

Table EMPIRICAL_TEST

n time (min)
0 0.042381
1 0.035441
2 0.024803
3 0.017886
4 0.012619
5 0.009751
6 0.008425
7 0.009245
8 0.014766
9 0.030615

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 12430 15142 22600
4 11440 14400 14640
8 7896 7336 5712
16 4400 5080 8000
32 2996 3640 3108
64 2200 2360 2020
128 1442 1442 1666
256 1010 1070 1060
512 707 749 728
1024 505 505 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 11865 22600 12769
4 10240 8160 15920
8 9856 5768 9184
16 6120 5640 4680
32 2968 4452 3108
64 2820 2280 2020
128 1582 1442 2016
256 1280 1080 1140
512 952 1281 770
1024 535 745 570