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 12.5538
2 feature(s) 12.5538 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 12.9292
2 feature(s) 12.9292 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000044 0.000000
4 0.120375 0.049203
8 0.140078 0.083817
16 0.149305 0.105125
32 0.153728 0.116429
64 0.155492 0.123688
128 0.157941 0.127930
256 0.158279 0.129637
512 0.158191 0.130441
1024 0.158670 0.131255

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188307 0.232762
4 0.184946 0.217448
8 0.177639 0.189640
16 0.169843 0.163382
32 0.164379 0.148306
64 0.161758 0.140040
128 0.160186 0.135648
256 0.159371 0.133623
512 0.158992 0.132738
1024 0.158849 0.132288

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.252933 0.306144
4 0.205438 0.244245
8 0.179973 0.194401
16 0.169839 0.163434
32 0.164467 0.147966
64 0.161755 0.139886
128 0.160254 0.135331
256 0.159717 0.133375
512 0.159192 0.132621
1024 0.158736 0.131926

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.112866
THEORETICAL 0.067929
EMPIRICAL_TEST 0.127094

Table THEORETICAL

# features time (min)
1 0.075764
2 0.074668

Table EMPIRICAL_TEST

n time (min)
0 0.038955
1 0.030226
2 0.020240
3 0.015282
4 0.010316
5 0.008099
6 0.007295
7 0.008762
8 0.015503
9 0.034915

Iterations Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 22600 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 12656 22600
4 11440 16000
8 8008 5768
16 5240 5560
32 2828 3248
64 2160 2020
128 1806 1624
256 1010 1030
512 707 714
1024 515 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 22600 13899
4 14640 13520
8 8232 9408
16 6440 7160
32 3696 3724
64 2500 2280
128 1610 1470
256 1070 1050
512 1092 798
1024 640 540