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局部線性嵌入LLE的matlab代碼,有詳細的注釋,代入數據就可以運行
代碼片段和文件信息
%?LLE?ALGORITHM?(using?K?nearest?neighbors)
%
%?[Y]?=?lle(XKdmax)
%
%?X?=?data?as?D?x?N?matrix?(D?=?dimensionality?N?=?#points)
%?K?=?number?of?neighbors
%?dmax?=?max?embedding?dimensionality
%?Y?=?embedding?as?dmax?x?N?matrix
%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%%
%?function?[Y]?=?lle(XKd)
clc;clear
load?MAIN_data1
feature=MAIN_data;
%4種故障模式
X=[feature(1:180:);feature(541:720:);feature(1081:1260:);feature(1621:1800:)]‘;????%取5層信號小波包分解后的能量特征和9個時域特征
K=9;?????????????????????????????????????????????%近鄰個數
%?d=3;????????????????????????????????????????????%降維個數
[DN]?=?size(X);??????????????????????????????????%D行N列,一列代表一個樣本,共有N個樣本
fprintf(1‘LLE?running?on?%d?points?in?%d?dimensions\n‘ND);
%?STEP1:?COMPUTE?PAIRWISE?DISTANCES?&?FIND?NEIGHBORS?計算距離,尋找近鄰
fprintf(1‘-->Finding?%d?nearest?neighbours.\n‘K);
%?X2?=?sum(X.^21);???????????????????????????????%對每列求和,其中一列代表一個樣本,所以X2大小為1xN
%?distance?=?repmat(X2N1)+repmat(X2‘1N)-2*X‘*X;
distance?=?squareform(pdist(X‘?‘euclidean‘));?????%計算歐式距離
[sortedindex]?=?sort(distance);??????????????????%對樣本間的距離按從小到大排序
neighborhood?=?index(2:(1+K):);??????????????????%選取前K個近鄰
%?STEP2:?SOLVE?FOR?RECONSTRUCTION?WEIGHTS?計算重構參數
fprintf(1‘-->Solving?for?reconstruction?weights.\n‘);
if(K>D)?
??fprintf(1‘???[note:?K>D;?regularization?will?be?used]\n‘);?
??tol=1e-3;?%?regularlizer?in?case?constrained?fits?are?ill?conditioned
else
??tol=0;
end
W?=?zeros(
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