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 110.2958
2 feature(s) 110.2958 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 108.014
2 feature(s) 108.014 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000044 0.000000
4 0.120375 0.054828
8 0.140078 0.101217
16 0.149305 0.126906
32 0.153728 0.140569
64 0.155492 0.147527
128 0.157941 0.151998
256 0.158279 0.153559
512 0.158191 0.153983
1024 0.158670 0.154919

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188307 0.294153
4 0.184946 0.264657
8 0.177639 0.223672
16 0.169843 0.191373
32 0.164379 0.172422
64 0.161758 0.163892
128 0.160186 0.159603
256 0.159371 0.157235
512 0.158992 0.156323
1024 0.158849 0.155883

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.252933 0.453231
4 0.205438 0.324631
8 0.179973 0.235198
16 0.169839 0.192224
32 0.164467 0.172477
64 0.161755 0.163804
128 0.160254 0.159589
256 0.159717 0.157379
512 0.159192 0.156468
1024 0.158736 0.155789

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.141307
THEORETICAL 0.086830
EMPIRICAL_TEST 0.150182

Table THEORETICAL

# features time (min)
1 0.074053
2 0.108184

Table EMPIRICAL_TEST

n time (min)
0 0.039673
1 0.030473
2 0.019713
3 0.015093
4 0.011571
5 0.009066
6 0.009286
7 0.012556
8 0.022313
9 0.051114

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 22600 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 12656 21696
4 11440 16000
8 8008 6888
16 5240 8000
32 2828 3892
64 2160 2360
128 1806 1750
256 1010 1080
512 707 784
1024 515 545

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 22600 19097
4 14640 16000
8 8232 8456
16 6440 4680
32 3696 3892
64 2500 2420
128 1610 2086
256 1070 1850
512 1092 910
1024 640 525