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 584.925
3 feature(s) NaN 584.925 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 775.731
3 feature(s) NaN 775.731 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.000000 0.000000 0.000000
4 0.118313 0.000156 0.000000
8 0.138783 0.000402 0.000145
16 0.149305 0.000469 0.000242
32 0.152952 0.000564 0.000340
64 0.156066 0.000598 0.000410
128 0.157051 0.000558 0.000346
256 0.157891 0.000598 0.000512
512 0.157870 0.000628 0.000529
1024 0.158650 0.000664 0.000572

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.188667 0.088814 0.175619
4 0.184981 0.029442 0.088609
8 0.177693 0.010560 0.031392
16 0.169540 0.004839 0.010838
32 0.164336 0.002595 0.004487
64 0.161683 0.001657 0.002430
128 0.160245 0.001321 0.001598
256 0.159426 0.001095 0.001155
512 0.158996 0.000979 0.000988
1024 0.158840 0.000895 0.000856

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.252077 0.096957 0.207431
4 0.205337 0.029744 0.090645
8 0.180350 0.010613 0.031324
16 0.169707 0.004823 0.010687
32 0.164671 0.002581 0.004478
64 0.161787 0.001645 0.002430
128 0.160162 0.001326 0.001595
256 0.159552 0.001055 0.001091
512 0.159333 0.000891 0.000941
1024 0.159160 0.000853 0.000819

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.101626
THEORETICAL 0.064192
EMPIRICAL_TEST 0.125722

Table THEORETICAL

# features time (min)
1 0.066128
2 0.042338
3 0.044299

Table EMPIRICAL_TEST

n time (min)
0 0.046840
1 0.034345
2 0.024820
3 0.017525
4 0.012445
5 0.009028
6 0.007225
7 0.007699
8 0.010830
9 0.021256

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 11413 11413 11413
4 16000 16000 8080
8 11200 11200 11200
16 8000 8000 8000
32 5600 5600 5600
64 4000 4000 4000
128 2800 2030 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 11526 21244 22600
4 10480 8640 8400
8 5880 6440 5712
16 4600 4560 4400
32 3724 2884 3696
64 2260 2020 2080
128 1582 1414 1414
256 1010 1020 1030
512 721 707 707
1024 505 505 510

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 13899 21244 20114
4 13360 9680 10560
8 11200 5824 7280
16 6080 4600 5000
32 3192 2884 3892
64 2220 2060 2080
128 1414 1456 1414
256 1100 1040 1030
512 721 742 770
1024 610 520 515