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

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

N* Relationship Matrixes

N* theoretical

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 50.8068
2 feature(s) 50.8068 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 50.5876
2 feature(s) 50.5876 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000044 0.000000
4 0.120375 0.054875
8 0.140078 0.098025
16 0.149305 0.123438
32 0.153728 0.136696
64 0.155492 0.143488
128 0.157941 0.147866
256 0.158279 0.149078
512 0.158191 0.149669
1024 0.158670 0.150737

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188307 0.281838
4 0.184946 0.256127
8 0.177639 0.218198
16 0.169843 0.186937
32 0.164379 0.168297
64 0.161758 0.159802
128 0.160186 0.155374
256 0.159371 0.153266
512 0.158992 0.152272
1024 0.158849 0.151849

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.252933 0.416363
4 0.205438 0.305713
8 0.179973 0.227502
16 0.169839 0.187619
32 0.164467 0.168381
64 0.161755 0.159745
128 0.160254 0.154947
256 0.159717 0.153136
512 0.159192 0.152071
1024 0.158736 0.151528

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.121570
THEORETICAL 0.076387
EMPIRICAL_TEST 0.137339

Table THEORETICAL

# features time (min)
1 0.073351
2 0.089175

Table EMPIRICAL_TEST

n time (min)
0 0.039590
1 0.030258
2 0.020936
3 0.013395
4 0.010712
5 0.008430
6 0.007803
7 0.009881
8 0.018447
9 0.041126

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 22600 11413
4 16000 16000
8 11200 11200
16 8000 4760
32 5600 5600
64 4000 4000
128 2800 2800
256 2000 2000
512 1400 1400
1024 1000 1000

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 12656 22600
4 11440 13120
8 8008 11200
16 5240 8000
32 2828 4228
64 2160 2700
128 1806 1960
256 1010 1010
512 707 742
1024 515 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 22600 16837
4 14640 16000
8 8232 11200
16 6440 4680
32 3696 5152
64 2500 2680
128 1610 1470
256 1070 1090
512 1092 875
1024 640 520