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

Loss vs log(n) 3 features

Image 6

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

Iterations vs log(n) 3 features

Image 6

N* Relationship Matrixes

N* theoretical

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN 9.2057
2 feature(s) NaN NaN 12.0414
3 feature(s) 9.2057 12.0414 NaN

N* empirical test

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN 9.5899
2 feature(s) NaN NaN 12.4056
3 feature(s) 9.5899 12.4056 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.000000 0.000000 0.000000
4 0.119594 0.076313 0.027813
8 0.140815 0.103962 0.056719
16 0.148852 0.122086 0.082453
32 0.152606 0.131540 0.098850
64 0.156074 0.138184 0.109664
128 0.156981 0.141501 0.116110
256 0.157971 0.144213 0.118717
512 0.157944 0.144849 0.120230
1024 0.158446 0.145647 0.121292

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.187981 0.183357 0.212626
4 0.185476 0.180587 0.201630
8 0.177818 0.172506 0.181151
16 0.169954 0.162839 0.156830
32 0.164484 0.156227 0.140960
64 0.161608 0.151898 0.132157
128 0.160234 0.149393 0.127313
256 0.159427 0.147786 0.124600
512 0.159030 0.146808 0.123115
1024 0.158848 0.146405 0.122440

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.251791 0.237196 0.267608
4 0.205761 0.196857 0.223372
8 0.180068 0.174684 0.184535
16 0.170026 0.163122 0.157409
32 0.164762 0.156548 0.141266
64 0.161726 0.152111 0.132351
128 0.160334 0.149498 0.127513
256 0.159442 0.147801 0.124629
512 0.159225 0.147154 0.123155
1024 0.159047 0.146842 0.122583

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.144581
THEORETICAL 0.087475
EMPIRICAL_TEST 0.165736

Table THEORETICAL

# features time (min)
1 0.067867
2 0.067212
3 0.074506

Table EMPIRICAL_TEST

n time (min)
0 0.048049
1 0.039356
2 0.026959
3 0.019147
4 0.014366
5 0.010916
6 0.010435
7 0.013135
8 0.021632
9 0.047804

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 11413 11413 11413
4 16000 16000 16000
8 11200 11200 11200
16 8000 8000 8000
32 5600 5600 5600
64 4000 4000 4000
128 2800 2800 2800
256 2000 2000 2000
512 1400 1400 1400
1024 1000 1000 1000

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 11865 15255 16046
4 9680 9280 12640
8 10080 6664 7896
16 4240 5160 5560
32 3444 3584 5124
64 2240 2300 2220
128 1442 1596 2562
256 1090 1200 1100
512 714 707 707
1024 505 505 545

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 15142 18419 22600
4 13520 13440 10560
8 7224 6720 9744
16 5040 4600 4680
32 3472 3220 3892
64 2040 2120 2180
128 1470 1918 1554
256 1230 1590 1120
512 833 861 805
1024 535 675 610