involute

SO(d) Solver Benchmarks

Table of Contents


Ackley Function

\[f(X) = -a \exp\left(-b \sqrt{\frac{1}{n} \sum (X - I)^2}\right) - \exp\left(\frac{1}{n} \sum \cos(c (X - I))\right) + a + \exp(1)\]

Where $a=20$, $b=0.2$, $c=2\pi$, and $n=d^2$.

Ackley - Dimension 3

Type: Aggressive Type: ExtraSafe
ackley d=3 type=Aggressive ackley d=3 type=ExtraSafe
Runs: 100
Success: 100.0%
Mean Steps: 29.8
Median Steps: 30.0
Runs: 100
Success: 100.0%
Mean Steps: 79.0
Median Steps: 80.0

Ackley - Dimension 5

Type: Aggressive Type: ExtraSafe
ackley d=5 type=Aggressive ackley d=5 type=ExtraSafe
Runs: 50
Success: 100.0%
Mean Steps: 78.5
Median Steps: 79.0
Runs: 100
Success: 97.0%
Mean Steps: 259.2
Median Steps: 260.0

Ackley - Dimension 10

Type: Aggressive Type: ExtraSafe
ackley d=10 type=Aggressive ackley d=10 type=ExtraSafe
Runs: 50
Success: 98.0%
Mean Steps: 267.9
Median Steps: 268.0
Runs: 100
Success: 95.0%
Mean Steps: 1286.2
Median Steps: 1421.0

Ackley - Dimension 20

Type: Aggressive Type: ExtraSafe
ackley d=20 type=Aggressive ackley d=20 type=ExtraSafe
Runs: 50
Success: 96.0%
Mean Steps: 458.8
Median Steps: 458.0
Runs: 50
Success: 76.0%
Mean Steps: 3558.7
Median Steps: 3546.5

Ackley - Dimension 50

Type: ExtraSafe
ackley d=50 type=ExtraSafe
Runs: 50
Success: 96.0%
Mean Steps: 20380.8
Median Steps: 20384.5

Schwefel Function

\[f(X) = 418.9829n - \sum Z \sin(\sqrt{|Z|})\]

Where $Z = 250(X - I) + 420.968746$, and $n=d^2$.

Schwefel - Dimension 3

Type: Custom
schwefel d=3 type=Custom
Runs: 50
Success: 92.0%
Mean Steps: 50.0
Median Steps: 52.0

Schwefel - Dimension 5

Type: Custom
schwefel d=5 type=Custom
Runs: 50
Success: 90.0%
Mean Steps: 776.8
Median Steps: 778.0