makeBealeFunction: Beale Function

In jakobbossek/smoof: Single and Multi-Objective Optimization Test Functions

Beale Function

Description

Multi-modal single-objective test function for optimization. It is based on the mathematic formula

f(\mathbf{x}) = (1.5 - \mathbf{x}_1 + \mathbf{x}_1\mathbf{x}_2)^2 + (2.25 - \mathbf{x}_1 + \mathbf{x}_1\mathbf{x}_2^2)^2 + (2.625 - \mathbf{x}_1 + \mathbf{x}_1\mathbf{x}_2^3)^2

usually evaluated within the bounds \mathbf{x}_i \in [-4.5, 4.5], i = 1, 2. The function has a flat but multi-modal region around the single global optimum and large peaks in the edges of its definition space.

Usage

makeBealeFunction()

Value

An object of class SingleObjectiveFunction, representing the Beale Function.

[smoof_single_objective_function]

jakobbossek/smoof documentation built on Feb. 17, 2024, 2:23 a.m.