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 0.117719 0.010922
8 0.140290 0.018326
16 0.148930 0.023664
32 0.153984 0.027483
64 0.156566 0.029699
128 0.157679 0.031532
256 0.157908 0.032232
512 0.158193 0.033013
1024 0.158333 0.033401

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.187967 0.121753
4 0.184876 0.093416
8 0.177253 0.070270
16 0.169677 0.053756
32 0.164352 0.044452
64 0.161657 0.039644
128 0.160146 0.036979
256 0.159367 0.035566
512 0.159017 0.034763
1024 0.158872 0.034349

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.251457 0.133602
4 0.204727 0.095687
8 0.180736 0.070534
16 0.169710 0.053857
32 0.164599 0.044603
64 0.161982 0.039507
128 0.160454 0.036947
256 0.159338 0.035486
512 0.159107 0.034791
1024 0.158899 0.034172

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.086832
THEORETICAL 0.052045
EMPIRICAL_TEST 0.103704

Table THEORETICAL

# features time (min)
1 0.067677
2 0.051287

Table EMPIRICAL_TEST

n time (min)
0 0.027675
1 0.028853
2 0.020706
3 0.014163
4 0.009741
5 0.007301
6 0.006566
7 0.006931
8 0.010526
9 0.022537

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 13221 19323
4 8160 11920
8 6720 7056
16 5040 6040
32 2940 3052
64 2280 2020
128 1442 1456
256 1010 1060
512 728 735
1024 510 510

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 13786 15594
4 16000 14960
8 11200 7448
16 4760 5400
32 2940 4228
64 2140 2040
128 2086 1484
256 1030 1270
512 777 938
1024 560 530