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Similarity measure is one of the fundamental task in heterogeneous information network (HIN) analysis. It has been applied to many areas, such as product recommendation, clustering, and Web search. Most of the existing metrics can provide personalized services for users by taking a meta-path or meta-structure as input. However, these metrics may highly depend on the user-specified meta-path or meta-structure. In addition, users must know how to select an appropriate meta-path or meta-structure. In this article, we propose a novel similarity measure in HINs, called Recurrent Meta-Structure (RecurMS)-based Similarity (RMSS). The RecurMS as a schematic structure in HINs provides a unified framework for integrating all of the meta-paths and meta-structures, and can be constructed automatically by means of repetitively traversing the network schema. In order to formalize the semantics, the RecurMS is decomposed into several recurrent meta-paths and recurrent meta-trees, and we then define the commuting matrices of the recurrent meta-paths and meta-trees. All of these commuting matrices are combined together according to different weights. We propose two kinds of weighting strategies to determine the weights. The first is called the local weighting strategy that depends on the sparsity of the commuting matrices, and the second is called the global weighting strategy that depends on the strength of the commuting matrices. As a result, RMSS is defined by means of the weighted summation of the commuting matrices. Note that RMSS can also provide personalized services for users by means of the weights of the recurrent meta-paths and meta-trees. Experimental evaluations show that the proposed RMSS is robust and outperforms the existing metrics in terms of ranking and clustering task.

Recurrent Meta-Structure for Robust Similarity Measure in Heterogeneous Information Networks