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 8.3697
2 feature(s) 8.3697 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 8.8275
2 feature(s) 8.8275 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000000 0.000000
4 0.119438 0.038953
8 0.140067 0.069241
16 0.148734 0.087188
32 0.153767 0.097299
64 0.156215 0.103242
128 0.157985 0.107048
256 0.158131 0.108119
512 0.158152 0.108587
1024 0.158513 0.109523

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188354 0.279121
4 0.184692 0.231951
8 0.177483 0.179262
16 0.169804 0.144287
32 0.164255 0.126099
64 0.161723 0.118099
128 0.160197 0.114007
256 0.159396 0.112007
512 0.159040 0.111007
1024 0.158861 0.110583

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.253005 0.406726
4 0.204762 0.270813
8 0.180299 0.184423
16 0.169635 0.144718
32 0.164514 0.125979
64 0.161967 0.118141
128 0.160281 0.113928
256 0.159798 0.111910
512 0.159414 0.111027
1024 0.158990 0.110352

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 7.249217
THEORETICAL 4.786495
EMPIRICAL_TEST 9.056499

Table THEORETICAL

# features time (min)
1 4.770540
2 5.329753

Table EMPIRICAL_TEST

n time (min)
0 2.722941
1 2.021335
2 1.327801
3 0.903647
4 0.696609
5 0.516901
6 0.531737
7 0.633473
8 1.061336
9 2.283777

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 14012 18871
4 8560 16000
8 5712 11200
16 4120 8000
32 3836 3164
64 2120 3220
128 1484 1848
256 1080 1010
512 721 735
1024 505 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 19662 22600
4 16000 12720
8 10864 9912
16 6800 4200
32 3164 5600
64 2140 2020
128 2058 1904
256 1020 1010
512 1022 1099
1024 755 540