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 77.7232
2 feature(s) 77.7232 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 75.5621
2 feature(s) 75.5621 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000044 0.000000
4 0.120375 0.054891
8 0.140078 0.100469
16 0.149305 0.125719
32 0.153728 0.139286
64 0.155492 0.146148
128 0.157941 0.150525
256 0.158279 0.151920
512 0.158191 0.152473
1024 0.158670 0.153330

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188307 0.289915
4 0.184946 0.261370
8 0.177639 0.221826
16 0.169843 0.190139
32 0.164379 0.170869
64 0.161758 0.162600
128 0.160186 0.158026
256 0.159371 0.155814
512 0.158992 0.154877
1024 0.158849 0.154437

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.252933 0.439186
4 0.205438 0.317308
8 0.179973 0.232478
16 0.169839 0.190675
32 0.164467 0.171194
64 0.161755 0.162568
128 0.160254 0.157673
256 0.159717 0.155805
512 0.159192 0.154747
1024 0.158736 0.154254

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.133583
THEORETICAL 0.078996
EMPIRICAL_TEST 0.145106

Table THEORETICAL

# features time (min)
1 0.074949
2 0.097484

Table EMPIRICAL_TEST

n time (min)
0 0.040310
1 0.030408
2 0.019379
3 0.014916
4 0.010607
5 0.008826
6 0.008728
7 0.011882
8 0.020115
9 0.046333

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 21583
4 11440 9840
8 8008 10808
16 5240 4440
32 2828 4172
64 2160 2160
128 1806 1750
256 1010 1080
512 707 756
1024 515 520

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 22600 17176
4 14640 16000
8 8232 7336
16 6440 4640
32 3696 2996
64 2500 2160
128 1610 1568
256 1070 1620
512 1092 749
1024 640 685