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多维时序 | MATLAB实现PSO-BP多变量时间序列预测(粒子群优化BP神经网络)

效果一览

基本介绍

1.Matlab实现PSO-BP粒子群优化BP神经网络多变量时间序列预测；
2.运行环境为Matlab2018b；
3.输入多个特征，输出单个变量，考虑历史特征的影响，多变量时间序列预测；
4.data为数据集，PSO_BPNTS.m为主程序，运行即可,所有文件放在一个文件夹；
5.命令窗口输出R2、MSE、MAE、MAPE和MBE多指标评价；

程序设计

• 完整程序和数据下载：私信博主回复MATLAB实现PSO-BP多变量时间序列预测(粒子群优化BP神经网络)。

%------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------
%%  清空环境变量
warning off             % 关闭报警信息
close all               % 关闭开启的图窗
clear                   % 清空变量
clc                     % 清空命令行
%------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------------P_train = res(temp(1: 700), 1: 7)';
T_train = res(temp(1: 700), 8)';
M = size(P_train, 2);P_test = res(temp(701: end), 1: 7)';
T_test = res(temp(701: end), 8)';
N = size(P_test, 2);%%  数据归一化
[p_train, ps_input] = mapminmax(P_train, 0, 1);
p_test = mapminmax('apply', P_test, ps_input);[t_train, ps_output] = mapminmax(T_train, 0, 1);
t_test = mapminmax('apply', T_test, ps_output);%%  节点个数
inputnum  = size(p_train, 1);  % 输入层节点数
hiddennum = 5;                 % 隐藏层节点数
outputnum = size(t_train, 1);  % 输出层节点数%%  建立网络
net = newff(p_train, t_train, hiddennum);%%  设置训练参数
net.trainParam.epochs     = 1000;      % 训练次数
net.trainParam.goal       = 1e-6;      % 目标误差
net.trainParam.lr         = 0.01;      % 学习率
net.trainParam.showWindow = 0;         % 关闭窗口%%  参数初始化
c1      = 4.494;       % 学习因子
c2      = 4.494;       % 学习因子
maxgen  =   30;        % 种群更新次数  
sizepop =    5;        % 种群规模
Vmax    =  1.0;        % 最大速度
Vmin    = -1.0;        % 最小速度
popmax  =  1.0;        % 最大边界
popmin  = -1.0;        % 最小边界%%  节点总数
numsum = inputnum * hiddennum + hiddennum + hiddennum * outputnum + outputnum;for i = 1 : sizepoppop(i, :) = rands(1, numsum);  % 初始化种群V(i, :) = rands(1, numsum);    % 初始化速度fitness(i) = fun(pop(i, :), hiddennum, net, p_train, t_train);
end%%  个体极值和群体极值
[fitnesszbest, bestindex] = min(fitness);
zbest = pop(bestindex, :);     % 全局最佳
gbest = pop;                   % 个体最佳
fitnessgbest = fitness;        % 个体最佳适应度值
BestFit = fitnesszbest;        % 全局最佳适应度值%%  迭代寻优
for i = 1: maxgenfor j = 1: sizepop% 速度更新V(j, :) = V(j, :) + c1 * rand * (gbest(j, :) - pop(j, :)) + c2 * rand * (zbest - pop(j, :));V(j, (V(j, :) > Vmax)) = Vmax;V(j, (V(j, :) < Vmin)) = Vmin;% 种群更新pop(j, :) = pop(j, :) + 0.2 * V(j, :);pop(j, (pop(j, :) > popmax)) = popmax;pop(j, (pop(j, :) < popmin)) = popmin;% 自适应变异pos = unidrnd(numsum);if rand > 0.85pop(j, pos) = rands(1, 1);end% 适应度值fitness(j) = fun(pop(j, :), hiddennum, net, p_train, t_train);endfor j = 1 : sizepop% 个体最优更新if fitness(j) < fitnessgbest(j)gbest(j, :) = pop(j, :);fitnessgbest(j) = fitness(j);end% 群体最优更新 if fitness(j) < fitnesszbestzbest = pop(j, :);fitnesszbest = fitness(j);endendBestFit = [BestFit, fitnesszbest];    
end

参考资料

[1] https://blog.csdn.net/kjm13182345320/article/details/128163536?spm=1001.2014.3001.5502
[2] https://blog.csdn.net/kjm13182345320/article/details/128151206?spm=1001.2014.3001.5502