%% SVM神经网络中的参数优化---如何更好的提升分类器的性能
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%
%% 清空环境变量
function chapter13_GA
close all;
clear;
clc;
format compact;
%% 数据提取
% 载入测试数据wine,其中包含的数据为classnumber = 3,wine:178*13的矩阵,wine_labes:178*1的列向量
load chapter13_wine.mat;
% 画出测试数据的box可视化图
figure;
boxplot(wine,'orientation','horizontal','labels',categories);
title('wine数据的box可视化图','FontSize',12);
xlabel('属性值','FontSize',12);
grid on;
% 画出测试数据的分维可视化图
figure
subplot(3,5,1);
hold on
for run = 1:178
plot(run,wine_labels(run),'*');
end
xlabel('样本','FontSize',10);
ylabel('类别标签','FontSize',10);
title('class','FontSize',10);
for run = 2:14
subplot(3,5,run);
hold on;
str = ['attrib ',num2str(run-1)];
for i = 1:178
plot(i,wine(i,run-1),'*');
end
xlabel('样本','FontSize',10);
ylabel('属性值','FontSize',10);
title(str,'FontSize',10);
end
% 选定训练集和测试集
% 将第一类的1-30,第二类的60-95,第三类的131-153做为训练集
train_wine = [wine(1:30,:);wine(60:95,:);wine(131:153,:)];
% 相应的训练集的标签也要分离出来
train_wine_labels = [wine_labels(1:30);wine_labels(60:95);wine_labels(131:153)];
% 将第一类的31-59,第二类的96-130,第三类的154-178做为测试集
test_wine = [wine(31:59,:);wine(96:130,:);wine(154:178,:)];
% 相应的测试集的标签也要分离出来
test_wine_labels = [wine_labels(31:59);wine_labels(96:130);wine_labels(154:178)];
%% 数据预处理
% 数据预处理,将训练集和测试集归一化到[0,1]区间
[mtrain,ntrain] = size(train_wine);
[mtest,ntest] = size(test_wine);
dataset = [train_wine;test_wine];
% mapminmax为MATLAB自带的归一化函数
[dataset_scale,ps] = mapminmax(dataset',0,1);
dataset_scale = dataset_scale';
train_wine = dataset_scale(1:mtrain,:);
test_wine = dataset_scale( (mtrain+1):(mtrain+mtest),: );
%% 选择GA最佳的SVM参数c&g
% GA的参数选项初始化
ga_option.maxgen = 200;
ga_option.sizepop = 20;
ga_option.cbound = [0,100];
ga_option.gbound = [0,100];
ga_option.v = 5;
ga_option.ggap = 0.9;
[bestacc,bestc,bestg] = gaSVMcgForClass(train_wine_labels,train_wine,ga_option);
% 打印选择结果
disp('打印选择结果');
str = sprintf( 'Best Cross Validation Accuracy = %g%% Best c = %g Best g = %g',bestacc,bestc,bestg);
disp(str);
%% 利用最佳的参数进行SVM网络训练
cmd = ['-c ',num2str(bestc),' -g ',num2str(bestg)];
model = svmtrain(train_wine_labels,train_wine,cmd);
%% SVM网络预测
[predict_label,accuracy] = svmpredict(test_wine_labels,test_wine,model);
% 打印测试集分类准确率
total = length(test_wine_labels);
right = sum(predict_label == test_wine_labels);
disp('打印测试集分类准确率');
str = sprintf( 'Accuracy = %g%% (%d/%d)',accuracy(1),right,total);
disp(str);
%% 结果分析
% 测试集的实际分类和预测分类图
figure;
hold on;
plot(test_wine_labels,'o');
plot(predict_label,'r*');
xlabel('测试集样本','FontSize',12);
ylabel('类别标签','FontSize',12);
legend('实际测试集分类','预测测试集分类');
title('测试集的实际分类和预测分类图','FontSize',12);
grid on;
snapnow;
%% 子函数 gaSVMcgForClass.m
function [BestCVaccuracy,Bestc,Bestg,ga_option] = gaSVMcgForClass(train_label,train_data,ga_option)
% gaSVMcgForClass
%
% by faruto
%Email:patrick.lee@foxmail.com QQ:516667408 http://blog.sina.com.cn/faruto BNU
%last modified 2010.01.17
%Super Moderator @ www.ilovematlab.cn
% 若转载请注明：
% faruto and liyang , LIBSVM-farutoUltimateVersion
% a toolbox with implements for support vector machines based on libsvm, 2009.
% Software available at http://www.ilovematlab.cn
%
% Chih-Chung Chang and Chih-Jen Lin, LIBSVM : a library for
% support vector machines, 2001. Software available at
% http://www.csie.ntu.edu.tw/~cjlin/libsvm
% 参数初始化
if nargin == 2
ga_option = struct('maxgen',200,'sizepop',20,'ggap',0.9,...
'cbound',[0,100],'gbound',[0,1000],'v',5);
end
% maxgen:最大的进化代数,默认为200,一般取值范围为[100,500]
% sizepop:种群最大数量,默认为20,一般取值范围为[20,100]
% cbound = [cmin,cmax],参数c的变化范围,默认为(0,100]
% gbound = [gmin,gmax],参数g的变化范围,默认为[0,1000]
% v:SVM Cross Validation参数,默认为5
%
MAXGEN = ga_option.maxgen;
NIND = ga_option.sizepop;
NVAR = 2;
PRECI = 20;
GGAP = ga_option.ggap;
trace = zeros(MAXGEN,2);
FieldID = ...
[rep([PRECI],[1,NVAR]);[ga_option.cbound(1),ga_option.gbound(1);ga_option.cbound(2),ga_option.gbound(2)]; ...
[1,1;0,0;0,1;1,1]];
Chrom = crtbp(NIND,NVAR*PRECI);
gen = 1;
v = ga_option.v;
BestCVaccuracy = 0;
Bestc = 0;
Bestg = 0;
%
cg = bs2rv(Chrom,FieldID);
for nind = 1:NIND
cmd = ['-v ',num2str(v),' -c ',num2str(cg(nind,1)),' -g ',num2str(cg(nind,2))];
ObjV(nind,1) = svmtrain(train_label,train_data,cmd);
end
[BestCVaccuracy,I] = max(ObjV);
Bestc = cg(I,1);
Bestg = cg(I,2);
for gen = 1:MAXGEN
FitnV = ranking(-ObjV);
SelCh = select('sus',Chrom,FitnV,GGAP);
SelCh = recombin('xovsp',SelCh,0.7);
SelCh = mut(SelCh);
cg = bs2rv(SelCh,FieldID);
for nind = 1:size(SelCh,1)
cmd = ['-v ',num2str(v),' -c ',num2str(cg(nind,1)),' -g ',num2str(cg(nind,2))];
ObjVSel(nind,1) = svmtrain(train_label,train_data,cmd);
end
[Chrom,ObjV] = reins(Chrom,SelCh,1,1,ObjV,ObjVSel);
if max(ObjV) <= 50
continue;
end
[NewBestCVaccuracy,I] = max(ObjV);
cg_temp = bs2rv(Chrom,FieldID);
temp_NewBestCVaccuracy = NewBestCVaccuracy;
if NewBestCVaccuracy > BestCVaccuracy
BestCVaccuracy = NewBestCVaccuracy;
Bestc = cg_temp(I,1);
Bestg = cg_temp(I,2);
end
if abs( NewBestCVaccuracy-BestCVaccuracy ) <= 10^(-2) && ...
cg_temp(I,1) < Bestc
BestCVaccuracy = NewBestCVaccuracy;
Bestc = cg_temp(I,1);
Bestg = cg_temp(I,2);
end
trace(gen,1) = max(ObjV);
trace(gen,2) = sum(ObjV)/length(ObjV);
end
%
figure;
hold on;
trace = round(trace*10000)/10000;
plot(trace(1:gen,1),'r*-','LineWidth',1.5);
plot(trace(1:gen,2),'o-','LineWidth',1.5);
legend('最佳适应度','平均适应度',3);
xlabel('进化代数','FontSize',12);
ylabel('适应度','FontSize',12);
axis([0 gen 0 100]);
grid on;
axis auto;
line1 = '适应度曲线Accuracy[GAmethod]';
line2 = ['(终止代数=', ...
num2str(gen),',种群数量pop=', ...
num2str(NIND),')'];
line3 = ['Best c=',num2str(Bestc),' g=',num2str(Bestg), ...
' CVAccuracy=',num2str(BestCVaccuracy),'%'];
title({line1;line2;line3},'FontSize',12);
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