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 0.119125 0.049078
8 0.139900 0.073415
16 0.148281 0.090852
32 0.153538 0.102612
64 0.155770 0.109297
128 0.157726 0.112051
256 0.157879 0.113865
512 0.158026 0.114884
1024 0.158317 0.115155

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.187787 0.169082
4 0.185503 0.167384
8 0.177561 0.154068
16 0.169974 0.139468
32 0.164631 0.128985
64 0.161835 0.123271
128 0.160139 0.119754
256 0.159488 0.117854
512 0.159036 0.116892
1024 0.158854 0.116498

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.252349 0.206634
4 0.205495 0.177165
8 0.179747 0.155336
16 0.169703 0.139307
32 0.164573 0.128917
64 0.161659 0.123183
128 0.159681 0.119540
256 0.159013 0.117692
512 0.158744 0.116435
1024 0.158562 0.116143

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 0.088442
THEORETICAL 0.056306
EMPIRICAL_TEST 0.105085

Table THEORETICAL

# features time (min)
1 0.063190
2 0.061682

Table EMPIRICAL_TEST

n time (min)
0 0.033874
1 0.023735
2 0.019470
3 0.012683
4 0.009388
5 0.007218
6 0.006295
7 0.007815
8 0.012056
9 0.027535

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 12430 22600
4 8320 16000
8 9744 5992
16 4080 4520
32 2996 3332
64 2140 2180
128 1414 1568
256 1010 1070
512 707 728
1024 530 520

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 19210 21357
4 8560 10480
8 11200 11200
16 4800 6520
32 2912 4620
64 2500 2320
128 1484 1414
256 1480 1200
512 707 728
1024 540 510