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 0.119594 0.076547
8 0.140681 0.103560
16 0.148992 0.120242
32 0.152768 0.131775
64 0.155969 0.138957
128 0.157578 0.141621
256 0.157609 0.143336
512 0.158032 0.144756
1024 0.158205 0.144961

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188031 0.182261
4 0.185192 0.180874
8 0.177694 0.172600
16 0.169714 0.163474
32 0.164555 0.156457
64 0.161731 0.152299
128 0.160147 0.149486
256 0.159456 0.147727
512 0.159034 0.146826
1024 0.158852 0.146441

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.251805 0.238052
4 0.205544 0.195577
8 0.180053 0.174927
16 0.169730 0.163577
32 0.164665 0.156744
64 0.161782 0.152333
128 0.159719 0.149357
256 0.159185 0.147415
512 0.158656 0.146609
1024 0.158375 0.146083

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.090507
THEORETICAL 0.053781
EMPIRICAL_TEST 0.098854

Table THEORETICAL

# features time (min)
1 0.062380
2 0.059265

Table EMPIRICAL_TEST

n time (min)
0 0.027471
1 0.024332
2 0.017635
3 0.012021
4 0.008856
5 0.007546
6 0.006411
7 0.008214
8 0.013199
9 0.029383

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 14803 18758
4 9680 10240
8 8008 7224
16 5320 4080
32 2912 3780
64 2340 2280
128 1414 1442
256 1020 1070
512 728 714
1024 530 520

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 12543 16159
4 12960 8560
8 9688 6328
16 4600 4360
32 2856 2996
64 2580 2800
128 1456 1484
256 1420 1300
512 896 896
1024 680 515