Rosenbrock function

GPTKB entity

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 non-convex function
test function for optimization
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
https://www.w3.org/2000/01/rdf-schema#label Rosenbrock function
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