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 2.4074
2 feature(s) NaN NaN 22.8692
3 feature(s) 2.4074 22.8692 NaN

N* empirical test

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN NaN
2 feature(s) NaN NaN 23.1177
3 feature(s) NaN 23.1177 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.000000 0.000000 0.000000
4 0.118953 0.029484 0.009375
8 0.141016 0.047835 0.022154
16 0.148484 0.059250 0.036633
32 0.154319 0.066858 0.048237
64 0.156617 0.072348 0.056781
128 0.158072 0.075086 0.061303
256 0.157725 0.076871 0.064037
512 0.158092 0.077393 0.065183
1024 0.158658 0.078044 0.066062

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.188731 0.149616 0.195544
4 0.185450 0.139319 0.166790
8 0.177809 0.119610 0.136294
16 0.169977 0.101823 0.106131
32 0.164718 0.091529 0.087477
64 0.161593 0.085341 0.077532
128 0.160153 0.082306 0.072392
256 0.159389 0.080505 0.069763
512 0.159020 0.079623 0.068239
1024 0.158809 0.079144 0.067516

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.252575 0.172077 0.237106
4 0.205634 0.145481 0.177930
8 0.180369 0.120396 0.137149
16 0.169966 0.102151 0.106398
32 0.164836 0.091385 0.087632
64 0.161582 0.085388 0.077463
128 0.160041 0.082241 0.072415
256 0.159438 0.080571 0.069699
512 0.158843 0.079627 0.068163
1024 0.158577 0.079015 0.067392

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.123515
THEORETICAL 0.079515
EMPIRICAL_TEST 0.158645

Table THEORETICAL

# features time (min)
1 0.068804
2 0.060358
3 0.059636

Table EMPIRICAL_TEST

n time (min)
0 0.046453
1 0.038945
2 0.025155
3 0.018994
4 0.013032
5 0.010246
6 0.009480
7 0.010209
8 0.018328
9 0.036575

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 11413 11413 11413
4 16000 16000 15440
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 15707 22600 12317
4 9840 16000 16000
8 8064 6832 6104
16 4160 5800 4080
32 3192 4928 3640
64 2280 2480 2640
128 1540 1736 1428
256 1020 1090 1030
512 707 735 714
1024 505 505 510

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 21922 22600 14577
4 16000 14560 16000
8 7336 9744 9408
16 4920 7680 8000
32 3108 3808 3864
64 2240 2480 2540
128 1540 1428 2002
256 1090 1150 1130
512 861 805 1008
1024 725 565 545