function?[eigvector?eigvalue?elapse]?=?LGE（W?D?options?data）
%?LGE:?Linear?Graph?embedding
%
%???????[eigvector?eigvalue]?=?LGE（W?D?options?data）
%?
%?????????????Input:
%???????????????data???????-?data?matrix.?Each?row?vector?of?data?is?a
%?????????????????????????sample?vector.?
%???????????????W???????-?Affinity?graph?matrix.?
%???????????????D???????-?Constraint?graph?matrix.?
%?????????????????????????LGE?solves?the?optimization?problem?of?
%?????????????????????????a*?=?argmax?（a‘data‘WXa）/（a‘data‘DXa）?
%?????????????????????????Default:?D?=?I?
%
%???????????????options?-?Struct?value?in?Matlab.?The?fields?in?options
%?????????????????????????that?can?be?set:
%
%?????????????????????ReducedDim???-??The?dimensionality?of?the?reduced
%?????????????????????????????????????subspace.?If?0?all?the?dimensions
%?????????????????????????????????????will?be?kept.?Default?is?30.?
%
%????????????????????????????Regu??-??1:?regularized?solution?
%????????????????????????????????????????a*?=?argmax?（a‘X‘WXa）/（a‘X‘DXa+ReguAlpha*I）?
%?????????????????????????????????????0:?solve?the?sinularity?problem?by?SVD?（PCA）?
%?????????????????????????????????????Default:?0?
%
%????????????????????????ReguAlpha?-??The?regularization?parameter.?Valid
%?????????????????????????????????????when?Regu==1.?Default?value?is?0.1.?
%
%????????????????????????????ReguType??-??‘Ridge‘:?Tikhonov?regularization
%?????????????????????????????????????????‘Custom‘:?User?provided
%???????????????????????????????????????????????????regularization?matrix
%??????????????????????????????????????????Default:?‘Ridge‘?
%????????????????????????regularizerR??-???（nFea?x?nFea）?regularization
%??????????????????????????????????????????matrix?which?should?be?provided
%??????????????????????????????????????????if?ReguType?is?‘Custom‘.?nFea?is
%??????????????????????????????????????????the?feature?number?of?data
%??????????????????????????????????????????matrix
%
%????????????????????????????PCARatio?????-??The?percentage?of?principal
%????????????????????????????????????????????component?kept?in?the?PCA
%????????????????????????????????????????????step.?The?percentage?is
%????????????????????????????????????????????calculated?based?on?the
%????????????????????????????????????????????eigenvalue.?Default?is?1
%????????????????????????????????????????????（100%?all?the?non-zero
%????????????????????????????????????????????eigenvalues?will?be?kept.
%????????????????????????????????????????????If?PCARatio?>?1?the?PCA?step
%????????????????????????????????????????????will?keep?exactly?PCARatio?principle
%????????????????????????????????????????????components?（does?not?exceed?the
%????????????????????????????????????????????exact?number?of?non-zero?components）.??
%
%
%?????????????Output:
%???????????????eigvector?-?Each?column?is?an?embedding?function?for?a?new
%???????????????????????????sample?vector?（row?vector）?x??y?=?x*eigvector

?屬性????????????大小?????日期????時間???名稱
-----------?---------??----------?-----??----

?????文件?????200194??2009-12-02?10:20??Locality?Preserving?Projections.pdf

?????文件??????10940??2009-12-02?10:43??LGE.m

?????文件???????5044??2009-12-02?10:43??LPP.m

-----------?---------??----------?-----??----

???????????????216178????????????????????3