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 3.4036
2 feature(s) 3.4036 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 3.6434
2 feature(s) 3.6434 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000000 0.000000
4 0.117641 0.007766
8 0.139900 0.013650
16 0.149227 0.016039
32 0.154314 0.017690
64 0.156898 0.018984
128 0.157586 0.020259
256 0.158143 0.020566
512 0.158210 0.021102
1024 0.158392 0.021446

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.187976 0.271802
4 0.185379 0.159921
8 0.177345 0.077595
16 0.169636 0.044258
32 0.164262 0.032199
64 0.161664 0.026976
128 0.160151 0.024608
256 0.159355 0.023320
512 0.159021 0.022674
1024 0.158869 0.022292

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.252362 0.390518
4 0.204733 0.183227
8 0.180258 0.078854
16 0.169740 0.044173
32 0.164570 0.032231
64 0.161948 0.026963
128 0.160272 0.024618
256 0.159371 0.023252
512 0.159163 0.022689
1024 0.158893 0.022196

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 5.366430
THEORETICAL 3.441718
EMPIRICAL_TEST 6.619588

Table THEORETICAL

# features time (min)
1 4.161778
2 3.297386

Table EMPIRICAL_TEST

n time (min)
0 2.041480
1 1.679920
2 1.107210
3 0.754512
4 0.568331
5 0.443164
6 0.369915
7 0.418861
8 0.679660
9 1.574861

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 11413 11413
4 16000 16000
8 11200 11200
16 8000 8000
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 13221 16385
4 13360 16000
8 8400 9352
16 4160 4520
32 3360 4256
64 2280 2020
128 1498 1456
256 1010 1040
512 721 728
1024 505 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 22600 11865
4 16000 16000
8 6384 11200
16 4600 5800
32 3976 2968
64 2300 2060
128 1428 1428
256 1030 1110
512 959 945
1024 580 580