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 138.8851
2 feature(s) 138.8851 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 125.1816
2 feature(s) 125.1816 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000044 0.000000
4 0.120375 0.054562
8 0.140078 0.102321
16 0.149305 0.127633
32 0.153728 0.141356
64 0.155492 0.148285
128 0.157941 0.152899
256 0.158279 0.154449
512 0.158191 0.154943
1024 0.158670 0.155880

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188307 0.296273
4 0.184946 0.266811
8 0.177639 0.225377
16 0.169843 0.192701
32 0.164379 0.173430
64 0.161758 0.164723
128 0.160186 0.160352
256 0.159371 0.158127
512 0.158992 0.157175
1024 0.158849 0.156749

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.252933 0.462951
4 0.205438 0.330086
8 0.179973 0.237195
16 0.169839 0.193265
32 0.164467 0.173730
64 0.161755 0.164641
128 0.160254 0.160158
256 0.159717 0.158304
512 0.159192 0.157446
1024 0.158736 0.156625

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.147997
THEORETICAL 0.081650
EMPIRICAL_TEST 0.149262

Table THEORETICAL

# features time (min)
1 0.072103
2 0.112718

Table EMPIRICAL_TEST

n time (min)
0 0.038566
1 0.028101
2 0.018718
3 0.013893
4 0.010878
5 0.009335
6 0.009511
7 0.012779
8 0.024325
9 0.056091

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 11978
4 11440 15360
8 8008 7952
16 5240 4560
32 2828 4032
64 2160 2360
128 1806 1526
256 1010 1080
512 707 721
1024 515 525

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 22600 20905
4 14640 12960
8 8232 7336
16 6440 4280
32 3696 2828
64 2500 2400
128 1610 1568
256 1070 1010
512 1092 987
1024 640 640