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Abstract: Network embedding assigns nodes in a network to low dimensional representations and effectively preserves the network structure. Recently, a significant amount of progresses has been made toward this emerging network analysis paradigm. In this survey, we focus on categorizing and then reviewing the current development on network embedding methods, and point out its future research directions. We first summarize the motivation of network embedding. Particle Swarm Optimization (PSO) algorithm is used as the proposed method. We discuss the classical graph embedding algorithms on cognitive radio environment and their relationship with network embedding. Afterwards and primarily, we provide a comprehensive overview of a large number of networks embedding methods in a systematic manner, covering the structure- andproperty-preserving network embedding methods, the network embedding methods with side information and the advanced information preserving network embedding methods. Moreover, several evaluation approaches for network embedding and some useful online resources, including the network data sets and software, are reviewed, too. Finally, we discuss the framework of exploiting these network embedding methods to build an effective system and point out some potential future directions.