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 111.0623
2 feature(s) 111.0623 NaN

N* empirical test

dim 1 feature(s) 2 feature(s)
1 feature(s) NaN 107.2657
2 feature(s) 107.2657 NaN

Loss Tables

Table EMPIRICAL_TRAIN

n 1 feature(s) 2 feature(s)
2 0.000000 0.000000
4 0.119000 0.059984
8 0.141060 0.104286
16 0.148336 0.127734
32 0.153064 0.141088
64 0.155500 0.147645
128 0.157461 0.151900
256 0.157725 0.153334
512 0.157927 0.153825
1024 0.158268 0.154755

Table THEORETICAL

n 1 feature(s) 2 feature(s)
2 0.188349 0.283228
4 0.185134 0.259686
8 0.177937 0.222483
16 0.169385 0.191380
32 0.164430 0.172684
64 0.161781 0.164249
128 0.160130 0.159495
256 0.159404 0.157400
512 0.159022 0.156414
1024 0.158852 0.155988

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 0.251980 0.422497
4 0.206474 0.311960
8 0.180069 0.233186
16 0.169696 0.191887
32 0.164493 0.172711
64 0.161580 0.163916
128 0.160020 0.159221
256 0.159199 0.157271
512 0.158640 0.156234
1024 0.158548 0.155783

Time Consumption Tables

Table EMPIRICAL_TRAIN

loss type time (min)
EMPIRICAL_TRAIN 8.128217
THEORETICAL 5.176867
EMPIRICAL_TEST 9.971846

Table THEORETICAL

# features time (min)
1 4.944432
2 6.154085

Table EMPIRICAL_TEST

n time (min)
0 2.699237
1 1.887624
2 1.506127
3 0.928639
4 0.772476
5 0.552594
6 0.603075
7 0.724126
8 1.225225
9 2.854694

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 16611 21131
4 11680 14000
8 6496 5768
16 6240 8000
32 2968 3612
64 2480 2160
128 1428 1498
256 1010 1090
512 707 777
1024 505 505

Table EMPIRICAL_TEST

n 1 feature(s) 2 feature(s)
2 22600 21583
4 16000 11440
8 9296 8680
16 4160 5680
32 3780 3892
64 2620 2460
128 2170 1554
256 1020 1050
512 840 882
1024 640 1000