问题同样为聚类小联系一种问题
问题原述：将文件１.ｍａｔ中数据分为两类；
算法介绍见文献：Gan G, Wu J. A convergence theorem for the fuzzy subspace clustering (FSC) algorithm. Pattern Recognition, 2008,41(6):
clear; clc; load 1.mat; jig=data'; z=[jig(1,:) jig(2,:)]; w=ones([2,100])./100; alp=2; lmd=0.5; err=0.01; dd=ones([1,2]); errma=1; E=0; n=1; while errma>err; n=n+1; if n==1000000; break; end u=zeros([2,200]); for i=1:200; for j=1:2; dd(1,j)=w(j,:).^alp*((jig(i,:)-z(j,:)).^2)'; if j==2 && dd(1,j)>dd(1,1); u(1,i)=1; end if j==2 && dd(1,j)<=dd(1,1); u(2,i)=1; end end end adds=0; for j=1:2; for i=1:200; adds=adds+u(j,i)*w(j,:).^alp*((jig(i,:)-z(j,:)).^2)'; end end EE=lmd*sum(sum(w.^alp))+adds; errma=abs(EE-E); E=EE; for j=1:2; for h=1:100; sum1=0; for t=1:100; sum2=0; sum3=0; for i=1:200; sum2=sum2+u(j,i)*(jig(i,j)-z(j,h))^2; sum3=sum3+u(j,i)*(jig(i,t)-z(j,t))^2; end sum1=sum1+((sum2+lmd)/(sum3+lmd))^(1/(alp-1)); end w(j,h)=1/sum1; end end for j=1:2; for h=1:100; z(j,h)=u(j,:)*jig(:,h)/sum(u(j,:)); end end end
结果ｕ
Columns １ through ２３
1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Columns 24 through 46 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 Columns 47 through 69 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 70 through 92 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 93 through 115 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 116 through 138 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 Columns 139 through 161 0 0 1 1 1 1 1 0 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Columns 162 through 184 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 Columns 185 through 200 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 1 0 0 0 0 0 0 0 0 0 0 0 0 0 0 0 ０ 第一类组号码： 1 2 3 4 5 6 7 8 9 10 11 12 13 14 15 16 17 18 19 20 21 22 23 24 25 26 27 28 29 30 31 32 33 34 35 36 37 38 39 40 141 142 143 144 145 147 148 149 150 151 152 153 154 155 156 157 158 159 160 161 162 163 164 165 166 167 168 169 170 171 172 173 174 175 176 177 178 179 180 181 182 183 184 185 186 187 188 189 190 191 192 193 194 195 196 197 198 199 200 第二类组号码： 41 42 43 44 45 46 47 48 49 50 51 52 53 54 55 56 57 58 59 60 61 62 63 64 65 66 67 68 69 70 71 72 73 74 75 76 77 78 79 80 81 82 83 84 85 86 87 88 89 90 91 92 93 94 95 96 97 98 99 100 101 102 103 104 105 106 107 108 109 110 111 112 113 114 115 116 117 118 119 120 121 122 123 124 125 126 127 128 129 130 131 132 133 134 135 136 137 138 139 140 146