% example5_4.m
%% 清理
clear,clc
close all
%% 定义数据
P=-5:5; % 输入:11个标量
d=3*P-7;
randn('state',2);
d=d+randn(1,length(d))*1.5 % 期望输出:加了噪声的线性函数
P=[ones(1,length(P));P] % P加上偏置
lp.lr = 0.01; % 学习率
MAX = 150; % 最大迭代次数
ep1 = 0.1; % 均方差终止阈值
ep2 = 0.0001; % 权值变化终止阈值
%% 初始化
w=[0,0];
%% 循环更新
for i=1:MAX
fprintf('第%d次迭代:\n', i)
e=d-purelin(w*P); % 求得误差向量
ms(i)=mse(e); % 均方差
ms(i)
if (ms(i) < ep1) % 如果均方差小于某个值,则算法收敛
fprintf('均方差小于指定数而终止\n');
break;
end
dW = learnwh([],P,[],[],[],[],e,[],[],[],lp,[]); % 权值调整量
if (norm(dW) < ep2) % 如果权值变化小于指定值,则算法收敛
fprintf('权值变化小于指定数而终止\n');
break;
end
w=w+dW % 用dW更新权值
end
%% 显示
fprintf('算法收敛于:\nw= (%f,%f),MSE: %f\n', w(1), w(2), ms(i));
figure;
subplot(2,1,1); % 绘制散点和直线
plot(P(2,:),d,'o');title('散点与直线拟合结果');
xlabel('x');ylabel('y');
axis([-6,6,min(d)-1,max(d)+1]);
x1=-5:.2:5;
y1=w(1)+w(2)*x1;
hold on;plot(x1,y1);
subplot(2,1,2); % 绘制均方差下降曲线
semilogy(1:i,ms,'-o');
xlabel('迭代次数');ylabel('MSE');title('均方差下降曲线');
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