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Open Access

A Survey of Matrix Completion Methods for Recommendation Systems

NASA Langley Research Center, Hampton, VA 23666, USA and the Department of Computer Science, Old Dominion University, Norfolk, VA 23666, USA.
Department of Computer Science, Central South University, Changsha 410083, China and the Department of Science, Shaoyang University, Shaoyang 422000, China.
Department of Computer Science, Central South University, Changsha 410083, China.
Department of Computer Science, Old Dominion University, Norfolk, VA 23529, USA.
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In recent years, the recommendation systems have become increasingly popular and have been used in a broad variety of applications. Here, we investigate the matrix completion techniques for the recommendation systems that are based on collaborative filtering. The collaborative filtering problem can be viewed as predicting the favorability of a user with respect to new items of commodities. When a rating matrix is constructed with users as rows, items as columns, and entries as ratings, the collaborative filtering problem can then be modeled as a matrix completion problem by filling out the unknown elements in the rating matrix. This article presents a comprehensive survey of the matrix completion methods used in recommendation systems. We focus on the mathematical models for matrix completion and the corresponding computational algorithms as well as their characteristics and potential issues. Several applications other than the traditional user-item association prediction are also discussed.


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Big Data Mining and Analytics
Pages 308-323
Cite this article:
Ramlatchan A, Yang M, Liu Q, et al. A Survey of Matrix Completion Methods for Recommendation Systems. Big Data Mining and Analytics, 2018, 1(4): 308-323.








Web of Science






Received: 21 January 2018
Accepted: 20 March 2018
Published: 02 July 2018
© The author(s) 2018