%% 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
% restoredefaultpath
%% 导入数据
P_train = xlsread('data','training set','B2：G191')';
T_train= xlsread('data','training set','H2：H191')';
% 测试集——44个样本
P_test=xlsread('data','test set','B2:G45')';
T_test=xlsread('data','test set','H2:H45')';
f_ =size(P_train, 1); %输入特征维度
M = size(P_train, 2);
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);
%% 转置以适应模型
p_train = p_train'; p_test = p_test';
t_train = t_train'; t_test = t_test';
%% 超参数设置
pop = 5; % 数量
Max_iter = 8; % 最大迭代次数
dim = 3; % 优化参数个数
lb = [0.1, 0.1, 10]; % 参数取值下界(核函数超参数 sigma，标准差，初始噪声标准差)
ub = [1, 1, 30]; % 参数取值上界(核函数超参数 sigma，标准差，初始噪声标准差)
%% 优化
fobj=@(X)fobj(X,f_,p_train,t_train,p_test,t_test);
[Best_score,Best_pos, curve] = GWO(pop, Max_iter, lb, ub, dim, fobj);
% Best_pos = [0.6, 0.7, 30]; % 优化下界
sigmaL0 = Best_pos(1) * ones(f_, 1); % 核函数超参数 sigma l
sigmaF0 = Best_pos(2); % 核函数超参数 - 标准差 sigma f
sigmaN0 = Best_pos(3); % 初始噪声标准差 sgima n
%% 模型创建
net = fitrgp(p_train, t_train, 'KernelFunction', 'ardsquaredexponential', ...
'Optimizer', 'lbfgs', 'KernelParameters', [sigmaL0; sigmaF0], 'Sigma', sigmaN0);
%% 仿真测试
t_sim1 = predict(net, p_train);
t_sim2 = predict(net, p_test );
%% 数据反归一化
T_sim1 = mapminmax('reverse', t_sim1, ps_output);
T_sim2 = mapminmax('reverse', t_sim2, ps_output);
%% 数据转置
T_sim1=T_sim1';
T_sim2 =T_sim2';
%% 均方根误差
error1 = sqrt(sum((T_sim1 - T_train).^2) ./ M);
error2 = sqrt(sum((T_sim2 - T_test ).^2) ./ N);
%% 测试集结果
figure;
plotregression(T_test,T_sim2,['回归图']);
figure;
ploterrhist(T_test-T_sim2,['误差直方图']);
%% 均方根误差 RMSE
error1 = sqrt(sum((T_sim1 - T_train).^2)./M);
error2 = sqrt(sum((T_test - T_sim2).^2)./N);
%% 优化曲线
figure
plot(curve, 'linewidth', 1.5);
title('GWO-GPR Iterative curve')
xlabel('The number of iterations')
ylabel('Fitness')
grid on;
%% 均方根误差 RMSE
error1 = sqrt(sum((T_sim1 - T_train).^2)./M);
error2 = sqrt(sum((T_test - T_sim2).^2)./N);
%% 相关指标计算
% R2
R1 = 1 - norm(T_train - T_sim1)^2 / norm(T_train - mean(T_train))^2;
R2 = 1 - norm(T_test - T_sim2)^2 / norm(T_test - mean(T_test ))^2;
disp(['训练集数据的R2为：', num2str(R1)])
disp(['测试集数据的R2为：', num2str(R2)])
% MAE
mae1 = sum(abs(T_sim1 - T_train)) ./ M ;
mae2 = sum(abs(T_sim2 - T_test )) ./ N ;
disp(['训练集数据的MAE为：', num2str(mae1)])
disp(['测试集数据的MAE为：', num2str(mae2)])
%% 平均绝对百分比误差MAPE
MAPE1 = mean(abs((T_train - T_sim1)./T_train));
MAPE2 = mean(abs((T_test - T_sim2)./T_test));
disp(['训练集数据的MAPE为：', num2str(MAPE1)])
disp(['测试集数据的MAPE为：', num2str(MAPE2)])
% MBE
mbe1 = sum(abs(T_sim1 - T_train)) ./ M ;
mbe2 = sum(abs(T_sim1 - T_train)) ./ N ;
disp(['训练集数据的MBE为：', num2str(mbe1)])
disp(['测试集数据的MBE为：', num2str(mbe2)])
%均方误差 MSE
mse1 = sum((T_sim1 - T_train).^2)./M;
mse2 = sum((T_sim2 - T_test).^2)./N;
disp(['训练集数据的MSE为：', num2str(mse1)])
disp(['测试集数据的MSE为：', num2str(mse2)])
%% 绘图
figure
plot(T_sim1,'-s','Color',[255 0 0]./255,'linewidth',1,'Markersize',5,'MarkerFaceColor',[250 0 0]./255)
hold on
plot(T_train,'-o','Color',[150 150 150]./255,'linewidth',0.8,'Markersize',4,'MarkerFaceColor',[150 150 150]./255)
legend('GWO-GPR预测值','真实值')
xlabel('预测样本')
ylabel('预测结果')
string = {'训练集预测结果对比'; ['RMSE=' num2str(error1)]};
title(string)
xlim([1, M])
grid
ax=gca;hold on
% -------------------------------------------------------------------------
% 坐标区域修饰
ax.XLabel.FontWeight='bold';
ax.YLabel.FontWeight='bold';
% 设置轴线粗细和刻度朝外
ax.LineWidth=1;
ax.TickDir='out';
%% 训练集误差图
figure
bar((T_sim1 - T_train)./T_train)
legend('模型训练集相对误差','Location','NorthEast','FontName','华文宋体')
title('模型训练集相对误差','fontsize',12,'FontName','华文宋体')
ylabel('误差','fontsize',12,'FontName','华文宋体')
xlabel('样本','fontsize',12,'FontName','华文宋体')
xlim([1 M]);
figure
plot(T_sim2,'-s','Color',[0 0 255]./255,'linewidth',1,'Markersize',5,'MarkerFaceColor',[0 0 255]./255)
hold on
plot(T_test,'-o','Color',[0 0 0]./255,'linewidth',0.8,'Markersize',4,'MarkerFaceColor',[0 0 0]./255)
legend('GWO-GPR预测值','真实值')
xlabel('预测样本')
ylabel('预测结果')
string = {'测试集预测结果对比'; ['RMSE=' num2str(error2)]};
title(string)
xlim([1, N])
grid
ax=gca;hold on
% -------------------------------------------------------------------------
% 坐标区域修饰
ax.XLabel.FontWeight='bold';
ax.YLabel.FontWeight='bold';
% 设置轴线粗细和刻度朝外
ax.LineWidth=1;
ax.TickDir='out';
%% 测试集误差图
figure
bar((T_sim2 - T_test )./T_test)
legend('模型测试集相对误差','Location','NorthEast','FontName','华文宋体')
title('模型测试集相对误差','fontsize',12,'FontName','华文宋体')
ylabel('误差','fontsize',12,'FontName','华文宋体')
xlabel('样本','fontsize',12,'FontName','华文宋体')
xlim([1 N]);
%% 绘制线性拟合图
%% 训练集拟合效果图
figure
plot(T_train,T_sim1,'o','Markersize',7);
xlabel('真实值')
ylabel('预测值')
string = {'训练集效果图';['R^2_c=' num2str(R1) ' RMSEC=' num2str(error1) ]};
title(string)
hold on ;h=lsline;
set(h,'LineWidth',2,'LineStyle','-','Color',[1 0 0])
%% 预测集拟合效果图
figure
plot(T_test,T_sim2,'o','Markersize',7);
xlabel('真实值')
ylabel('预测值')
string1 = {'测试集效果图';['R^2_p=' num2str(R2) ' RMSEP=' num2str(error2) ]};
title(string1)
hold on ;h=lsline();
set(h,'LineWidth',2,'LineStyle','-','Color',[1 0 0])
%% 求平均
R3=(R1+R2)./2;
error3=(error1+error2)./2;
%% 总数据线性预测拟合图
tsim=[T_sim1 T_sim2]';
S=[T_train,T_test]';
figure
plot(S,tsim,'o','Markersize',7);
xlabel('真实值')
ylabel('预测值')
string1 = {'所有样本拟合预测图';['R^2_p=' num2str(R3) ' RMSEP=' num2str(error3) ]};
title(string1)
hold on ;h=lsline();
set(h,'LineWidth',2,'LineStyle','-','Color',[1 0 0])
