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Dimensionality reduction is an essential problem in data mining and machine learning fields. Locality Preserving Projection (LPP) is a well-known dimensionality reduction method which can preserve the neighborhood graph structure of data, and has achieved promising performance. However linear projection makes it difficult to analyze complex data with nonlinear structure. In order to deal with this issue, this paper proposes a novel nonlinear locality preserving projection method via deep neural network, termed as DNLPP, which replaces the linear projection with an appropriate deep neural network. Benefiting from the nonlinearity of neural networks and its powerful representation capability, the proposed method is more discriminative than the conventional LPP. In order to solve the new model, we propose an iterative optimization algorithm. Extensive experiments on several public datasets illustrate that the proposed method is overall superior to the other state-of-art dimensionality reduction methods. © 2019 IEEE.
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