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 4.6749
3 feature(s) NaN 4.6749 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 4.6854
3 feature(s) NaN 4.6854 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.000044 0.000000 0.000000
4 0.119000 0.029141 0.004859
8 0.140525 0.047634 0.013393
16 0.149180 0.059773 0.022547
32 0.152907 0.067584 0.030647
64 0.156191 0.073004 0.036535
128 0.157171 0.075951 0.040273
256 0.157979 0.077053 0.041854
512 0.158052 0.077646 0.042913
1024 0.158630 0.078119 0.044190

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.188042 0.150127 0.184442
4 0.185118 0.139178 0.142902
8 0.177780 0.120054 0.107223
16 0.169764 0.102461 0.080175
32 0.164662 0.091633 0.064227
64 0.161710 0.085452 0.054907
128 0.160257 0.082267 0.050169
256 0.159403 0.080487 0.047494
512 0.159014 0.079575 0.046291
1024 0.158827 0.079115 0.045528

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.253049 0.172839 0.219603
4 0.206424 0.146223 0.149969
8 0.180496 0.120701 0.108031
16 0.169951 0.102732 0.080110
32 0.164922 0.091752 0.064219
64 0.161877 0.085619 0.054989
128 0.160374 0.082399 0.050037
256 0.159412 0.080481 0.047508
512 0.159071 0.079578 0.046392
1024 0.158565 0.079041 0.045514

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.122655
THEORETICAL 0.079399
EMPIRICAL_TEST 0.151360

Table THEORETICAL

# features time (min)
1 0.070316
2 0.053325
3 0.057311

Table EMPIRICAL_TEST

n time (min)
0 0.048391
1 0.037895
2 0.024067
3 0.017732
4 0.012300
5 0.010115
6 0.008493
7 0.009781
8 0.016049
9 0.034072

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 22600 11413 11413
4 16000 16000 16000
8 11200 11200 7952
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 12543 22600 22600
4 9360 16000 16000
8 8960 6048 9072
16 4280 4920 8000
32 2856 4424 3192
64 2120 2480 2260
128 1540 1442 1456
256 1020 1100 1010
512 707 714 826
1024 505 505 515

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 22600 11865 22600
4 16000 12160 16000
8 11200 8344 5712
16 4440 4240 7960
32 3276 3332 3192
64 2320 2440 3000
128 1540 1582 1540
256 1300 1310 1050
512 1400 714 707
1024 620 600 885