1、模式識(shí)別課程實(shí)驗(yàn)線性分類器設(shè)計(jì)實(shí)驗(yàn)一、實(shí)驗(yàn)?zāi)康模?、掌握Fisher線性分類器設(shè)計(jì)方法；2、掌握感知準(zhǔn)則函數(shù)分類器設(shè)計(jì)方法。二、實(shí)驗(yàn)內(nèi)容：1、對(duì)下列兩種情況，求采用Fisher判決準(zhǔn)則時(shí)的投影向量和分類界面，并做圖。，(2,0,(2,2)t,(2,4)t,(3,3)t1，(0,3)T，(-2,2)t，(-1,-1)T,(1,-2)t,(3,1)t2，(1,1)t,(2,0)t,(2,1)t,(0,2)t,(1,3)t1，(-1,2)t,(0,0)t,(-1,0),(-1,-1)t,(0,-2)t22、對(duì)下面的兩類分類問題，采用感知準(zhǔn)則函數(shù)，利用迭代修正求權(quán)向量的方法求兩類的線性判決函數(shù)及線性識(shí)

2、別界面，并畫出識(shí)別界面將訓(xùn)練樣本區(qū)分的結(jié)果圖。，(1,1)T,(2,0)t,(2,1)T,(0,2)t,(1,3)T1，(-1,2)t,(0,0)t,(-1,0),(-1,-1)t,(0,-2)t2三、實(shí)驗(yàn)原理：Fisher判決準(zhǔn)則投影方向：w*，S-i(卩一卩)w12感知準(zhǔn)則函數(shù)：J(v)，工(-VTZ)z，Zk當(dāng)Zk為空時(shí)，即J(v)0,v*即為所求p四、解題思路：1、fisher線性判決器:用mean函數(shù)求兩類樣本的均值求兩類樣本的均值的類內(nèi)離散矩陣Si利用類內(nèi)離散矩陣求總類內(nèi)離散矩陣Sw求最佳投影方向Wo定義閾值，并求得分界面2、感知準(zhǔn)則函數(shù)分類器：獲得增廣樣本向量和初始增廣權(quán)向量對(duì)樣

3、本進(jìn)行規(guī)范化處理獲得解區(qū)，并用權(quán)向量迭代修正錯(cuò)分樣本集，得到最終解區(qū)五、實(shí)驗(yàn)結(jié)果：1、fisher線性判決分類器：條件：取pw1=pw2=0.5，閾值系數(shù)為0.5廠賃訪巳謖性判決A.第一種情況B.第二種情況2、感知準(zhǔn)則函數(shù)判決:條件：取步長(zhǎng)row為1感知準(zhǔn)則判決感知誰(shuí)則判決結(jié)果:六、結(jié)果分析：1、fisher線性判決器中，調(diào)整閾值系數(shù)時(shí)，分界面會(huì)隨之平行上下移動(dòng)，通過調(diào)整閾值系數(shù)的大小，就能比較合理的得到分界面。而投影方向不會(huì)隨閾值系數(shù)的變化而變化。2、fisher線性判決器中，由于題目中樣本數(shù)目少，所以其先驗(yàn)概率統(tǒng)一取為0.5。而改變其先驗(yàn)概率對(duì)結(jié)果的影響不是很大。3、感知準(zhǔn)則函數(shù)分類判決中

4、，調(diào)整步長(zhǎng)row的大小可使分界面的方向和位置發(fā)生變動(dòng)，但是變動(dòng)范圍不大，僅限于小范圍的調(diào)整。七、源程序functionvarargout=fisherganzhi(varargin)gui_Singleton=1;gui_State=struct(gui_Name,mfilename,.gui_Singleton,gui_Singleton,.gui_OpeningFcn,fisherganzhi_OpeningFcn,.gui_OutputFcn,fisherganzhi_OutputFcn,.gui_LayoutFcn,.gui_Callback,);ifnargin&ischar(var

5、argin1)gui_State.gui_Callback=str2func(varargin1);endifnargoutvarargout1:nargout=gui_mainfcn(gui_State,varargin:);elsegui_mainfcn(gui_State,varargin:);end%-Executesjustbeforefisherganzhiismadevisible.functionfisherganzhi_OpeningFcn(hObject,eventdata,handles,varargin)handles.output=hObject;%Updatehan

6、dlesstructureguidata(hObject,handles);%-Outputsfromthisfunctionarereturnedtothecommandline.functionvarargout=fisherganzhi_OutputFcn(hObject,eventdata,handles)varargout1=handles.output;%-Executesonbuttonpressinpushbutton2.functionpushbutton2_Callback(hObject,eventdata,handles)pw1=str2num(get(handles.

7、edit1,String);pw2=str2num(get(handles.edit2,String);k=str2num(get(handles.edit3,String);w1=11;20;21;02;13;w2=-12;00;-10;-1-1;0-2;u1=mean(w1);u2=mean(w2);s1=zeros(2,2);s2=zeros(2,2);forn=1:length(w1)s1=s1+(w1(n,:)-u1)*(w1(n,:)-u1);end;form=1:length(w2)s2=s2+(w2(m,:)-u2)*(w2(m,:)-u2);end;sw=pw1*s1+pw2

8、*s2;wo=inv(sw)*(u1-u2);y0=k*(wo*u1+wo*u2);x1=-4:0.3:6;x2=(y0-wo(1)*x1)/wo(2);x3=wo(2)*x1/wo(1);cla(handles.axes1);axes(handles.axes1);holdon;plot(x1,x2,b,x1,x3,k);plot(w1(:,2),w1(:,1),*r);plot(w2(:,2),w2(:,1),og);title(Fisher線性分類器(2);12);handles)text(3.5,13,*表示第1類,FontSize,10,Color,rtext(3.5,11,o表示第

9、2類,FontSize,10,Color,gtext(wo(1),wo(2),leftarrow投影方向,FontSizeholdoff;%-Executesonbuttonpressinpushbutton1.functionpushbutton1_Callback(hObject,eventdata,pw1=str2num(get(handles.edit1,String);pw2=str2num(get(handles.edit2,String);k=str2num(get(handles.edit3,String);w1=20;22;24;33;w2=03;-22;-1-1;1-2;3

10、-1;u1=mean(w1);u2=mean(w2);s1=zeros(2,2);s2=zeros(2,2);forn=1:length(w1)s1=s1+(w1(n,:)-u1)*(w1(n,:)-u1);end;form=1:length(w2)s2=s2+(w2(m,:)-u2)*(w2(m,:)-u2);end;sw=pw1*s1+pw2*s2;wo=inv(sw)*(u1-u2);y0=k*(wo*u1+wo*u2);x1=-4:0.3:6;x2=(y0-wo(1)*x1)/wo(2);x3=wo(2)*x1/wo(1);cla(handles.axes1);axes(handles

11、.axes1);holdon;plot(x1,x2,b,x1,x3,k);plot(w1(:,2),w1(:,1),*r);plot(w2(:,2),w2(:,1),og);title(Fisher線性分類器(2);text(3.5,9,*表示第1類,FontSize,10,Color,r);text(3.5,8,o表示第2類,FontSize,10,Color,g);text(wo(1),wo(2),leftarrow投影方向,FontSize,12);holdoff;functionedit3_Callback(hObject,eventdata,handles)%-Executesdur

12、ingobjectcreation,aftersettingallproperties.functionedit3_CreateFcn(hObject,eventdata,handles)ifispc&isequal(get(hObject,BackgroundColor),get(0,defaultUicontrolBackgroundColor)set(hObject,BackgroundColor,white);endfunctionedit2_Callback(hObject,eventdata,handles)%-Executesduringobjectcreation,afters

13、ettingallproperties.functionedit2_CreateFcn(hObject,eventdata,handles)ifispc&isequal(get(hObject,BackgroundColor),get(0,defaultUicontrolBackgroundColor)set(hObject,BackgroundColor,white);endfunctionedit1_Callback(hObject,eventdata,handles)functionedit1_CreateFcn(hObject,eventdata,handles)ifispc&iseq

14、ual(get(hObject,BackgroundColor),get(0,defaultUicontrolBackgroundColor)set(hObject,BackgroundColor,white);end%-Executesonbuttonpressinpushbutton3.functionpushbutton3_Callback(hObject,eventdata,handles)row=str2num(get(handles.edit4,String);w1=11;20;21;02;13;w2=-12;00;-10;-1-1;0-2;y1=ones(1,5);w1;y2=-

15、ones(1,5);w2;w=y1y2;v=y1(:,1);sumz=zeros(3,1);z=ones(1,10);whilesum(z)0v=v+row*sumz;h=v*w;z=(abs(h)h);Z=w.*z;z;z;sumz=sum(Z);endx1=-2:0.5:2.5;x2=(-v(1)-v(2)*x1)/v(3);cla(handles.axes1);axes(handles.axes1);holdon;plot(x1,x2);plot(w1(1,:),w1(2,:),*r)plot(w2(1,:),w2(2,:),og)title(感知準(zhǔn)則函數(shù)分類器);text(1.5,5,

16、*表示第1類,FontSize,10,Color,r);text(1.5,4,o表示第2類,FontSize,10,Color,g)holdoff;functionedit4_Callback(hObject,eventdata,handles)%hObjecthandletoedit4(seeGCBO)%eventdatareservedtobedefinedinafutureversionofMATLAB%handlesstructurewithhandlesanduserdata(seeGUIDATA)%Hints:get(hObject,String)returnscontentsofedit4astext%str2double(get(hObject,String)returnscontentsofedit4asadouble%-Executesduringobjectcreation,aftersettingallproperties.functionedit4_CreateFcn(hObject,eventdata,handles)%hObjecthandletoedit4(seeGCBO)%eventdatareserved-tobedefinedinafutureversi