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 29.1727
2 feature(s) 29.1727 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 28.9661
2 feature(s) 28.9661 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000044 0.000000
4 0.120375 0.053297
8 0.140078 0.094453
16 0.149305 0.118164
32 0.153728 0.131367
64 0.155492 0.138113
128 0.157941 0.142363
256 0.158279 0.143871
512 0.158191 0.144494
1024 0.158670 0.145196

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188307 0.266744
4 0.184946 0.244807
8 0.177639 0.210197
16 0.169843 0.180266
32 0.164379 0.162774
64 0.161758 0.154404
128 0.160186 0.149858
256 0.159371 0.147874
512 0.158992 0.146874
1024 0.158849 0.146455

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.252933 0.377799
4 0.205438 0.285746
8 0.179973 0.218499
16 0.169839 0.180665
32 0.164467 0.162650
64 0.161755 0.154224
128 0.160254 0.149877
256 0.159717 0.147586
512 0.159192 0.146486
1024 0.158736 0.146011

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.120467
THEORETICAL 0.067723
EMPIRICAL_TEST 0.136362

Table THEORETICAL

# features time (min)
1 0.075670
2 0.083136

Table EMPIRICAL_TEST

n time (min)
0 0.037588
1 0.029605
2 0.018596
3 0.015015
4 0.011760
5 0.009111
6 0.008907
7 0.010189
8 0.017140
9 0.039779

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 11526
4 11440 15520
8 8008 6104
16 5240 5560
32 2828 4004
64 2160 2720
128 1806 1526
256 1010 1090
512 707 714
1024 515 545

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 22600 18419
4 14640 16000
8 8232 5936
16 6440 5520
32 3696 5404
64 2500 2360
128 1610 2506
256 1070 1420
512 1092 763
1024 640 540