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 19.4728
2 feature(s) 19.4728 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 19.8219
2 feature(s) 19.8219 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000000 0.000000
4 0.119922 0.057859
8 0.140089 0.095190
16 0.148602 0.114172
32 0.152757 0.124470
64 0.155484 0.130309
128 0.157506 0.134520
256 0.157512 0.135408
512 0.157852 0.136145
1024 0.158227 0.136814

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.187778 0.283266
4 0.185268 0.252571
8 0.177612 0.208030
16 0.169385 0.173435
32 0.164726 0.154485
64 0.161742 0.145894
128 0.160161 0.141455
256 0.159377 0.139429
512 0.159004 0.138443
1024 0.158855 0.138037

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.250600 0.424174
4 0.206744 0.301037
8 0.180016 0.216004
16 0.169326 0.173803
32 0.164565 0.154554
64 0.161503 0.145827
128 0.159944 0.141095
256 0.159028 0.139207
512 0.158716 0.138181
1024 0.158374 0.137600

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 7.517177
THEORETICAL 4.983536
EMPIRICAL_TEST 8.024653

Table THEORETICAL

# features time (min)
1 4.342270
2 5.531474

Table EMPIRICAL_TEST

n time (min)
0 2.142881
1 1.873799
2 1.220539
3 0.983917
4 0.655745
5 0.524865
6 0.524986
7 0.645186
8 1.079513
9 2.674360

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 11865 22600
4 16000 14400
8 6664 8456
16 4840 7880
32 2968 5572
64 2220 2700
128 1428 1414
256 1110 1040
512 714 714
1024 505 525

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 11752 15820
4 15120 16000
8 9352 6328
16 4840 7080
32 3360 3752
64 2620 2280
128 2380 1512
256 1170 1080
512 840 847
1024 540 640