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 0.119766 0.030422
8 0.140301 0.046931
16 0.149586 0.058969
32 0.153789 0.066652
64 0.156527 0.072234
128 0.157037 0.075148
256 0.157387 0.076863
512 0.157867 0.077437
1024 0.158099 0.078300

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188071 0.149846
4 0.185518 0.139034
8 0.177590 0.119695
16 0.169889 0.102493
32 0.164506 0.091845
64 0.161720 0.085576
128 0.160137 0.082285
256 0.159419 0.080447
512 0.159051 0.079580
1024 0.158865 0.079115

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.253412 0.171709
4 0.206302 0.145717
8 0.180396 0.120311
16 0.170165 0.102530
32 0.164619 0.091807
64 0.161913 0.085604
128 0.160289 0.082098
256 0.159345 0.080364
512 0.158782 0.079433
1024 0.158499 0.078894

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.107819
THEORETICAL 0.068102
EMPIRICAL_TEST 0.127068

Table THEORETICAL

# features time (min)
1 0.082558
2 0.066048

Table EMPIRICAL_TEST

n time (min)
0 0.034962
1 0.030426
2 0.022019
3 0.015401
4 0.012322
5 0.010958
6 0.009422
7 0.010018
8 0.014443
9 0.031150

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 2800
256 2000 2000
512 1400 1400
1024 1000 1000

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 12995 17967
4 9920 16000
8 10192 9016
16 5040 5720
32 3388 3052
64 2120 2420
128 1456 1470
256 1100 1100
512 707 707
1024 510 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 22600 15255
4 16000 12160
8 6720 6048
16 4120 5800
32 4732 4928
64 2400 2800
128 2436 1484
256 1570 1010
512 763 721
1024 600 640