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Overview: By introducing a linear transform matrix into LLE algorithm, a novel unsupervised linear dimension reduction method, Neighborhood Preserving Projections (NPP), is proposed in this paper. The linear transform matrix is obtained by optimizing a certain objective function which is similar to that of LLE. Hence, NPP inherits LLE’s neighborhood property naturally. In contrast to traditional linear dimension reduction method, such as Principal Component Analysis (PCA), the proposed method has good neighborhood-preserving property along the direction of the manifold.
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