Warning: The default trust-region-reflective algorithm does not solve problems with the
constraints you have specified. FMINCON will use the active-set algorithm instead. For
information on applicable algorithms, see Choosing the Algorithm in the documentation.
In fmincon at 486
Error using feval
Undefined function 'Optimization' for input arguments of type 'double'.
Error in fmincon (line 601)
initVals.f = feval(funfcn{3},X,varargin{:});
Caused by:
Failure in initial user-supplied objective function evaluation. FMINCON cannot continue.
这是我的源程序 谢谢了
function SVM()
clear all;
close all;
x1(1,1)=5.1418; x1(1,2)=0.5950;
x1(2,1)=5.5519; x1(2,2)=3.5091;
x1(3,1)=5.3836; x1(3,2)=2.8033;
x1(4,1)=3.2419; x1(4,2)=3.7278;
x1(5,1)=4.4427; x1(5,2)=3.8981;
x1(6,1)=4.9111; x1(6,2)=2.8710;
x1(7,1)=2.9259; x1(7,2)=3.4879;
x1(8,1)=4.2018; x1(8,2)=2.4973;
x1(9,1)=4.7629; x1(9,2)=2.5163;
x1(10,1)=2.7118; x1(10,2)=2.4264;
x1(11,1)=3.0470; x1(11,2)=1.5699;
x1(12,1)=4.7782; x1(12,2)=3.3504;
x1(13,1)=3.9937; x1(13,2)=4.8529;
x1(14,1)=4.5245; x1(14,2)=2.1322;
x1(15,1)=5.3643; x1(15,2)=2.2477;
x1(16,1)=4.4820; x1(16,2)=4.0843;
x1(17,1)=3.2129; x1(17,2)=3.0592;
x1(18,1)=4.7520; x1(18,2)=5.3119;
x1(19,1)=3.8331; x1(19,2)=0.4484;
x1(20,1)=3.1838; x1(20,2)=1.4494;
x1(21,1)=6.0941; x1(21,2)=1.8544;
x1(22,1)=4.0802; x1(22,2)=6.2646;
x1(23,1)=3.0627; x1(23,2)=3.6474;
x1(24,1)=4.6357; x1(24,2)=2.3344;
x1(25,1)=5.6820; x1(25,2)=3.0450;
x1(26,1)=4.5936; x1(26,2)=2.5265;
x1(27,1)=4.7902; x1(27,2)=4.4668;
x1(28,1)=4.1053; x1(28,2)=3.0274;
x1(29,1)=3.8414; x1(29,2)=4.2269;
x1(30,1)=4.8709; x1(30,2)=4.0535;
x1(31,1)=3.8052; x1(31,2)=2.6531;
x1(32,1)=4.0755; x1(32,2)=2.8295;
x1(33,1)=3.4734; x1(33,2)=3.1919;
x1(34,1)=3.3145; x1(34,2)=1.8009;
x1(35,1)=3.7316; x1(35,2)=2.6421;
x1(36,1)=2.8117; x1(36,2)=2.8658;
x1(37,1)=4.2486; x1(37,2)=1.4651;
x1(38,1)=4.1025; x1(38,2)=4.4063;
x1(39,1)=3.9590; x1(39,2)=1.3024;
x1(40,1)=1.7524; x1(40,2)=1.9339;
x1(41,1)=3.4892; x1(41,2)=1.2457;
x1(42,1)=4.2492; x1(42,2)=4.5982;
x1(43,1)=4.3692; x1(43,2)=1.9794;
x1(44,1)=4.1792; x1(44,2)=0.4113;
x1(45,1)=3.9627; x1(45,2)=4.2198;
x2(1,1)=9.7302; x2(1,2)=5.5080;
x2(2,1)=8.8067; x2(2,2)=5.1319;
x2(3,1)=8.1664; x2(3,2)=5.2801;
x2(4,1)=6.9686; x2(4,2)=4.0172;
x2(5,1)=7.0973; x2(5,2)=4.0559;
x2(6,1)=9.4755; x2(6,2)=4.9869;
x2(7,1)=9.3809; x2(7,2)=5.3543;
x2(8,1)=7.2704; x2(8,2)=4.1053;
x2(9,1)=8.9674; x2(9,2)=5.8121;
x2(10,1)=8.2606; x2(10,2)=5.1095;
x2(11,1)=7.5518; x2(11,2)=7.7316;
x2(12,1)=7.0016; x2(12,2)=5.4111;
x2(13,1)=8.3442; x2(13,2)=3.6931;
x2(14,1)=5.8173; x2(14,2)=5.3838;
x2(15,1)=6.1123; x2(15,2)=5.4995;
x2(16,1)=10.4188; x2(16,2)=4.4892;
x2(17,1)=7.9136; x2(17,2)=5.2349;
x2(18,1)=11.1547; x2(18,2)=4.4022;
x2(19,1)=7.7080; x2(19,2)=5.0208;
x2(20,1)=8.2079; x2(20,2)=5.4194;
x2(21,1)=9.1078; x2(21,2)=6.1911;
x2(22,1)=7.7857; x2(22,2)=5.7712;
x2(23,1)=7.3740; x2(23,2)=2.3558;
x2(24,1)=9.7184; x2(24,2)=5.2854;
x2(25,1)=6.9559; x2(25,2)=5.8261;
x2(26,1)=8.9691; x2(26,2)=4.9919;
x2(27,1)=7.3872; x2(27,2)=5.8584;
x2(28,1)=8.8922; x2(28,2)=5.7748;
x2(29,1)=9.0175; x2(29,2)=6.3059;
x2(30,1)=7.0041; x2(30,2)=6.2315;
x2(31,1)=8.6396; x2(31,2)=5.9586;
x2(32,1)=9.2394; x2(32,2)=3.3455;
x2(33,1)=6.7376; x2(33,2)=4.0096;
x2(34,1)=8.4345; x2(34,2)=5.6852;
x2(35,1)=7.9559; x2(35,2)=4.0251;
x2(36,1)=6.5268; x2(36,2)=4.3933;
x2(37,1)=7.6699; x2(37,2)=5.6868;
x2(38,1)=7.8075; x2(38,2)=5.0200;
x2(39,1)=6.6997; x2(39,2)=6.0638;
x2(40,1)=5.6549; x2(40,2)=3.6590;
x2(41,1)=6.9086; x2(41,2)=5.4795;
x2(42,1)=7.9933; x2(42,2)=3.3660;
x2(43,1)=5.9318; x2(43,2)=3.5573;
x2(44,1)=9.5157; x2(44,2)=5.2938;
x2(45,1)=7.2795; x2(45,2)=4.8596;
x2(46,1)=5.5233; x2(46,2)=3.8697;
x2(47,1)=8.1331; x2(47,2)=4.7075;
x2(48,1)=9.7851; x2(48,2)=4.4175;
x2(49,1)=8.0636; x2(49,2)=4.1037;
x2(50,1)=8.1944; x2(50,2)=5.2486;
x2(51,1)=7.9677; x2(51,2)=3.5103;
x2(52,1)=8.2083; x2(52,2)=5.3135;
x2(53,1)=9.0586; x2(53,2)=2.9749;
x2(54,1)=8.2188; x2(54,2)=5.5290;
x2(55,1)=8.9064; x2(55,2)=5.3435;
for i=1:45 r1(i)=x1(i,1);end;
for i=1:45 r2(i)=x1(i,2);end;
for i=1:55 r3(i)=x2(i,1);end;
for i=1:55 r4(i)=x2(i,2);end;
figure(1);
plot(r1,r2,'*',r3,r4,'o');
hold on; % 保持当前的轴和图像不被刷新，在该图上接着绘制下图
y1 = ones(45,1); %对于每一个xi，yi为相应的标识器，对于w1为1,对于w2为-1
y2 =-ones(55,1);
X = [x1;x2]; %x矩阵化
Y = [y1;y2]; %y矩阵化
l = zeros(100,1);% 对lambda进行初始化
A=[];
b=[]; %不存在线性不等式约束，故为空
Aeq=Y';
beq=0; %定义线性等式约束
lb=zeros(100,1); %定义上下界约束，有lambda大于等于0
lambda = fmincon('Optimization',l,A,b,Aeq,beq,lb);
%用fmincon函数来求解非线性多变量约束问题，其中Optimization为等价最优任务
w = X'*(lambda.*Y);% 求解支撑矢量
s = find(lambda > 0); %提取非0的元素位置下标构成新矩阵
sum=0; %初始化累计变量
N = length(s) ; %算出非0元素的个数
for i=1:N;
j=s(i);
sum=sum+Y(j) - X(j,:)*w;% 由条件 w'x+w0=y 隐含得到,其中y为正负1
end
w0 = sum/N;% 计算w0的值，w0是通过所有条件的均值计算得出的
x = linspace(0,10,5000);% 取5000个x点画图
y = (-w(1)/w(2))*x-w0/w(2); %x*w1+y*w2+w0=0,w=[w1;w2;w0]
plot(x,y,'r');% 用红线标出分界面
axis([1,12,0,8]);% 设定当前图中，x轴范围为1-12，为y轴范围为0-8
display(w);% 显示出权向量
display(w0);% 显示出w0
end
function fl = Optimization(lambda) %用此函数来描述最优化问题
fl = (-1*ones(100,1))'*lambda+1/2*(lambda.*Y)'*X*X'*(lambda.*Y);
%最优化问题的等价函数
end