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 2.5595
3 feature(s) NaN 2.5595 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 2.6555
3 feature(s) NaN 2.6555 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.000000 0.000000 0.000000
4 0.119125 0.029188 0.001266
8 0.141127 0.047846 0.003103
16 0.149023 0.060008 0.006266
32 0.153599 0.068225 0.009693
64 0.155684 0.073102 0.012305
128 0.157252 0.075592 0.013965
256 0.158039 0.076750 0.015152
512 0.158343 0.077854 0.015847
1024 0.158305 0.078135 0.016548

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.187808 0.150398 0.169366
4 0.184905 0.139186 0.104854
8 0.177600 0.120035 0.065882
16 0.169516 0.102747 0.043800
32 0.164600 0.091858 0.031209
64 0.161632 0.085641 0.024685
128 0.160263 0.082370 0.021223
256 0.159421 0.080465 0.019223
512 0.159014 0.079574 0.018305
1024 0.158840 0.079104 0.017698

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.252369 0.173360 0.199126
4 0.205699 0.146157 0.108919
8 0.180898 0.121066 0.065778
16 0.169790 0.102927 0.043805
32 0.164564 0.092027 0.030949
64 0.161696 0.085710 0.024632
128 0.160201 0.082333 0.021092
256 0.159288 0.080424 0.019258
512 0.158857 0.079485 0.018352
1024 0.158493 0.079157 0.017728

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.123255
THEORETICAL 0.075719
EMPIRICAL_TEST 0.158219

Table THEORETICAL

# features time (min)
1 0.071392
2 0.062600
3 0.055672

Table EMPIRICAL_TEST

n time (min)
0 0.052645
1 0.040318
2 0.027282
3 0.019170
4 0.014528
5 0.010961
6 0.009361
7 0.009421
8 0.015445
9 0.033336

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 16498 12656 17176
4 9600 8480 13840
8 5656 11200 5824
16 4280 4880 4320
32 3388 5320 2912
64 2040 2100 3220
128 1442 1596 1442
256 1040 1040 1130
512 707 742 707
1024 505 505 520

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 22600 22600 22600
4 12880 16000 16000
8 6832 8680 8456
16 4280 5520 4320
32 2856 4340 3752
64 2580 2140 2260
128 2506 1624 1568
256 1040 1050 1110
512 1015 1015 707
1024 505 700 510