The invention provides an embedding manifold regression model based on a
Fisher criterion. A method for the embedding manifold regression model comprises the following steps of performing initializing; expressing a training sample by using a matrix (
img file= ' DDA0000627843280000011. TIF' wi= ' 581' he= ' 56' / ) under the condition that a category
label corresponding to xm is that l (xm) belongs to {1, 2, ..., c}; preprocessing the training sample: mapping the training sample to
principal component analysis subspace; establishing a similar matrix; separately
processing a within-class sample and an inter-class sample by using the
Fisher criterion; calculating embedding subspace: defining a Dxd mapping matrix W= [
Omega1...
Omega d] under the condition that d is dimensionality of the sample after the sample is subjected to feature conversion; and finding out mapping subspace by solving a
feature vector (
img file= ' DDA0000627843280000013. TIF' wi=' 123' he=' 55' / ) of a matrix (
img file= ' DDA0000627843280000012. TIF' wi=' 205' he=' 58' / ). A conversion mode of the sample from the original higher-dimensional space to lower-dimensional manifold space is yi= WTx i=F (x i), and
matrix representation of the conversion mode is Y=WTX=F(X), Y= [y(1), ..., Y(M)]. On the premise that
label information of the sample is sufficiently used, local geometric structures of the same samples are maintained before and after
dimensionality reduction, and the similarity of the samples which are in different categories but are high in similarity in the original space is reduced after
dimensionality reduction.