Statements (20)
| Predicate | Object |
|---|---|
| gptkbp:instanceOf |
gptkb:mathematical_concept
|
| gptkbp:alsoKnownAs |
Rosenbrock's banana function
Rosenbrock's valley |
| gptkbp:application |
benchmarking optimization algorithms
|
| gptkbp:category |
gptkb:test_function_for_optimization
non-convex function |
| gptkbp:defaultParameters |
a=1, b=100
|
| gptkbp:dimensions |
n-dimensional
|
| gptkbp:form |
f(x, y) = (a - x)^2 + b(y - x^2)^2
|
| gptkbp:globalMinimumLocation |
(1,1,...,1)
|
| gptkbp:globalMinimumValue |
0
|
| gptkbp:introduced |
Howard H. Rosenbrock
|
| gptkbp:introducedIn |
1960
|
| gptkbp:property |
difficult for gradient-based optimization methods
has narrow, curved valley |
| gptkbp:usedAs |
performance test problem for optimization algorithms
|
| gptkbp:usedIn |
optimization
|
| gptkbp:bfsParent |
gptkb:Particle_Swarm_Optimization
|
| gptkbp:bfsLayer |
8
|
| https://www.w3.org/2000/01/rdf-schema#label |
Rosenbrock function
|