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 NaN
2 feature(s) NaN NaN

N* empirical test

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

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000000 0.000000
4 0.118766 0.000234
8 0.139877 0.000379
16 0.148398 0.000500
32 0.153326 0.000552
64 0.156574 0.000629
128 0.157397 0.000558
256 0.157859 0.000680
512 0.158207 0.000645
1024 0.158408 0.000679

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188015 0.087585
4 0.185337 0.028958
8 0.177584 0.010807
16 0.169547 0.004759
32 0.164365 0.002572
64 0.161685 0.001679
128 0.160081 0.001260
256 0.159388 0.001072
512 0.159016 0.000960
1024 0.158868 0.000903

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.252686 0.096043
4 0.204780 0.029321
8 0.181056 0.010751
16 0.169745 0.004764
32 0.164591 0.002578
64 0.161729 0.001664
128 0.160287 0.001241
256 0.159500 0.001043
512 0.159191 0.000926
1024 0.158764 0.000880

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.082737
THEORETICAL 0.053947
EMPIRICAL_TEST 0.099182

Table THEORETICAL

# features time (min)
1 0.070329
2 0.045195

Table EMPIRICAL_TEST

n time (min)
0 0.032381
1 0.025015
2 0.023651
3 0.012664
4 0.009538
5 0.007692
6 0.006095
7 0.006431
8 0.010096
9 0.019219

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 1638
256 2000 2000
512 1400 1400
1024 1000 1000

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 13560 21018
4 9600 16000
8 8400 7448
16 4120 4200
32 3164 2940
64 2240 2140
128 1414 1414
256 1080 1010
512 707 707
1024 510 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 19549 17967
4 9120 11360
8 11200 9128
16 4040 4200
32 3248 2884
64 2400 2120
128 1988 1442
256 1100 1030
512 1029 756
1024 555 510