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 6.9020
2 feature(s) NaN NaN 255.2393
3 feature(s) 6.902 255.2393 NaN

N* empirical test

dim 1 feature(s) 2 feature(s) 3 feature(s)
1 feature(s) NaN NaN 7.2967
2 feature(s) NaN NaN 231.4213
3 feature(s) 7.2967 231.4213 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 0.028460
16 0.148484 0.059250 0.046297
32 0.154319 0.066858 0.058354
64 0.156617 0.072348 0.067863
128 0.158072 0.075086 0.072143
256 0.157725 0.076871 0.074934
512 0.158092 0.077393 0.075918
1024 0.158658 0.078044 0.076904

Table THEORETICAL

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.188731 0.149616 0.290186
4 0.185450 0.139319 0.229189
8 0.177809 0.119610 0.165972
16 0.169977 0.101823 0.122044
32 0.164718 0.091529 0.099863
64 0.161593 0.085341 0.088979
128 0.160153 0.082306 0.083379
256 0.159389 0.080505 0.080501
512 0.159020 0.079623 0.079082
1024 0.158809 0.079144 0.078338

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 0.252575 0.172077 0.439274
4 0.205634 0.145481 0.271046
8 0.180369 0.120396 0.170357
16 0.169966 0.102151 0.122295
32 0.164836 0.091385 0.100075
64 0.161582 0.085388 0.088982
128 0.160041 0.082241 0.083439
256 0.159438 0.080571 0.080367
512 0.158843 0.079627 0.079051
1024 0.158577 0.079015 0.078352

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.138099
THEORETICAL 0.089974
EMPIRICAL_TEST 0.166468

Table THEORETICAL

# features time (min)
1 0.066632
2 0.058872
3 0.079827

Table EMPIRICAL_TEST

n time (min)
0 0.049928
1 0.036245
2 0.025874
3 0.018513
4 0.013196
5 0.010905
6 0.010130
7 0.012414
8 0.020503
9 0.045879

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s) 3 feature(s)
2 11413 11413 11413
4 16000 16000 11520
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 22600
4 9840 16000 15280
8 8064 6832 9128
16 4160 5800 4720
32 3192 4928 2884
64 2280 2480 2200
128 1540 1736 1442
256 1020 1090 1140
512 707 735 714
1024 505 505 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s) 3 feature(s)
2 21922 22600 19775
4 16000 14560 10720
8 7336 9744 11200
16 4920 7680 5920
32 3108 3808 3136
64 2240 2480 2380
128 1540 1428 1988
256 1090 1150 1040
512 861 805 714
1024 725 565 600