【优化算法】梯度优化算法（GBO）【含Matlab源码 1464期】

原创

佛怒火莲 2021-11-08 11:03:42 ©著作权

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二、部分源代码

%---------------------------------------------------------------------------------------------------------------------------
%  
%---------------------------------------------------------------------------------------------------------------------------
%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

clear 
close all
clc

nP=50;          % Number of Population

Func_name='F1'; % Name of the test function, range from F1-F14

MaxIt=500;      % Maximum number of iterations

% Load details of the selected benchmark function
[lb,ub,dim,fobj]=BenchmarkFunctions(Func_name);

[Best_fitness,BestPositions,Convergence_curve] = GBO(nP,MaxIt,lb,ub,dim,fobj);

%% Plots
figure,
hold on
semilogy(Convergence_curve,'Color','b','LineWidth',3);
title('Convergence curve')
xlabel('Iteration');
ylabel('Best fitness obtained so far');
axis tight
grid off
box on
legend('GBO')
%___________________________________________________________________%                                                           %
%  Gradien-Based Optimizer source code (Developed in MATLAB R2017a) %
%                                                                   %
%  programming: Iman Ahmadianfar                                    %
%                                                                   %
%         e-Mail: im.ahmadian@gmail.com                             %
%                 i.ahmadianfar@bkatu.ac.ir                         %
%                                                                   %
% Source codes demo version 1.0
% ------------------------------------------------------------------------------------------------------------
% Main paper (Please refer to the main paper):
% Gradient-Based Optimizer: A New Metaheuristic Optimization Algorithm
% Iman Ahmadianfar, Omid Bozorg-Haddad, Xuefeng Chu
% Information Sciences,2020
% DOI: https://doi.org/10.1016/j.ins.2020.06.037
% https://www.sciencedirect.com/science/article/pii/S0020025520306241
% ------------------------------------------------------------------------------------------------------------
% Website of GBO: http://imanahmadianfar.com/
% You can find and run the GBO code online at http://imanahmadianfar.com/

% You can find the GBO paper at https://doi.org/10.1016/j.ins.2020.06.037
% Please follow the paper for related updates in researchgate: https://www.researchgate.net/profile/Iman_Ahmadianfar
% ------------------------------------------------------------------------------------------------------------
%  Co-author:
%             Omid Bozorg-Haddad(OBHaddad@ut.ac.ir)
%             Xuefeng Chu(xuefeng.chu@ndsu.edu)           
% _____________________________________________________
%% %%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%

% This function initialize the first population 
function X=initialization(nP,dim,ub,lb)
Boundary_no= size(ub,2); % numnber of boundaries

% If the boundaries of all variables are equal and user enter a signle
% number for both ub and lb

if Boundary_no==1
    X=rand(nP,dim).*(ub-lb)+lb;
end

% If each variable has a different lb and ub
if Boundary_no>1
    for i=1:dim
        X(:,i)=rand(nP,1).*(ub(i)-lb(i))+lb(i);
    end
end